Properties

Label 441.2.bd.a.59.6
Level $441$
Weight $2$
Character 441.59
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.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 59.6
Character \(\chi\) \(=\) 441.59
Dual form 441.2.bd.a.299.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.22460 + 0.873090i) q^{2} +(-0.408355 - 1.68322i) q^{3} +(2.72045 - 2.52420i) q^{4} +(-2.05554 - 0.989896i) q^{5} +(2.37803 + 3.38797i) q^{6} +(2.60867 + 0.441423i) q^{7} +(-1.77425 + 3.68427i) q^{8} +(-2.66649 + 1.37471i) q^{9} +O(q^{10})\) \(q+(-2.22460 + 0.873090i) q^{2} +(-0.408355 - 1.68322i) q^{3} +(2.72045 - 2.52420i) q^{4} +(-2.05554 - 0.989896i) q^{5} +(2.37803 + 3.38797i) q^{6} +(2.60867 + 0.441423i) q^{7} +(-1.77425 + 3.68427i) q^{8} +(-2.66649 + 1.37471i) q^{9} +(5.43702 + 0.407448i) q^{10} +(4.06669 + 3.24307i) q^{11} +(-5.35971 - 3.54835i) q^{12} +(-0.574202 + 0.225358i) q^{13} +(-6.18864 + 1.29561i) q^{14} +(-0.826827 + 3.86417i) q^{15} +(0.175630 - 2.34362i) q^{16} +(1.39998 + 1.29899i) q^{17} +(4.73163 - 5.38626i) q^{18} +(4.54187 - 2.62225i) q^{19} +(-8.09069 + 2.49565i) q^{20} +(-0.322249 - 4.57123i) q^{21} +(-11.8782 - 3.66395i) q^{22} +(-0.610005 + 0.139230i) q^{23} +(6.92598 + 1.48197i) q^{24} +(0.127903 + 0.160386i) q^{25} +(1.08061 - 1.00266i) q^{26} +(3.40282 + 3.92694i) q^{27} +(8.21098 - 5.38394i) q^{28} +(-2.22091 - 7.20001i) q^{29} +(-1.53441 - 9.31811i) q^{30} +(4.06806 - 2.34870i) q^{31} +(-0.755163 - 2.44818i) q^{32} +(3.79817 - 8.16947i) q^{33} +(-4.24852 - 1.66742i) q^{34} +(-4.92526 - 3.48967i) q^{35} +(-3.78401 + 10.4706i) q^{36} +(-5.42578 + 1.67363i) q^{37} +(-7.81438 + 9.79892i) q^{38} +(0.613806 + 0.874485i) q^{39} +(7.29409 - 5.81685i) q^{40} +(6.01384 - 4.10017i) q^{41} +(4.70797 + 9.88780i) q^{42} +(4.94212 + 3.36948i) q^{43} +(19.2494 - 1.44254i) q^{44} +(6.84190 - 0.186216i) q^{45} +(1.23546 - 0.842319i) q^{46} +(-0.914445 - 2.32997i) q^{47} +(-4.01655 + 0.661403i) q^{48} +(6.61029 + 2.30305i) q^{49} +(-0.424565 - 0.245123i) q^{50} +(1.61480 - 2.88692i) q^{51} +(-0.993236 + 2.06248i) q^{52} +(1.70161 - 5.51649i) q^{53} +(-10.9985 - 5.76489i) q^{54} +(-5.14893 - 10.6919i) q^{55} +(-6.25476 + 8.82785i) q^{56} +(-6.26853 - 6.57418i) q^{57} +(11.2269 + 14.0781i) q^{58} +(10.4099 + 7.09734i) q^{59} +(7.50461 + 12.5993i) q^{60} +(-0.0705253 + 0.0760081i) q^{61} +(-6.99918 + 8.77669i) q^{62} +(-7.56282 + 2.40910i) q^{63} +(6.74805 + 8.46179i) q^{64} +(1.40338 + 0.105168i) q^{65} +(-1.31671 + 21.4899i) q^{66} +(-6.07583 - 10.5237i) q^{67} +7.08747 q^{68} +(0.483453 + 0.969920i) q^{69} +(14.0035 + 3.46292i) q^{70} +(2.65016 - 0.604882i) q^{71} +(-0.333766 - 12.2632i) q^{72} +(-1.02444 - 6.79671i) q^{73} +(10.6089 - 8.46036i) q^{74} +(0.217735 - 0.280785i) q^{75} +(5.73682 - 18.5983i) q^{76} +(9.17707 + 10.2552i) q^{77} +(-2.12898 - 1.40947i) q^{78} +(-6.67798 + 11.5666i) q^{79} +(-2.68095 + 4.64354i) q^{80} +(5.22036 - 7.33129i) q^{81} +(-9.79856 + 14.3718i) q^{82} +(5.52037 - 14.0657i) q^{83} +(-12.4154 - 11.6224i) q^{84} +(-1.59184 - 4.05595i) q^{85} +(-13.9361 - 3.18082i) q^{86} +(-11.2123 + 6.67845i) q^{87} +(-19.1637 + 9.22875i) q^{88} +(-2.61883 + 6.67267i) q^{89} +(-15.0579 + 6.38785i) q^{90} +(-1.59738 + 0.334417i) q^{91} +(-1.30804 + 1.91854i) q^{92} +(-5.61460 - 5.88836i) q^{93} +(4.06854 + 4.38485i) q^{94} +(-11.9318 + 0.894162i) q^{95} +(-3.81246 + 2.27083i) q^{96} +(-10.2826 + 5.93664i) q^{97} +(-16.7160 + 0.648019i) q^{98} +(-15.3021 - 3.05713i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.22460 + 0.873090i −1.57303 + 0.617368i −0.981932 0.189233i \(-0.939400\pi\)
−0.591096 + 0.806601i \(0.701305\pi\)
\(3\) −0.408355 1.68322i −0.235764 0.971810i
\(4\) 2.72045 2.52420i 1.36022 1.26210i
\(5\) −2.05554 0.989896i −0.919266 0.442695i −0.0864568 0.996256i \(-0.527554\pi\)
−0.832809 + 0.553561i \(0.813269\pi\)
\(6\) 2.37803 + 3.38797i 0.970828 + 1.38313i
\(7\) 2.60867 + 0.441423i 0.985984 + 0.166842i
\(8\) −1.77425 + 3.68427i −0.627293 + 1.30259i
\(9\) −2.66649 + 1.37471i −0.888831 + 0.458236i
\(10\) 5.43702 + 0.407448i 1.71934 + 0.128846i
\(11\) 4.06669 + 3.24307i 1.22615 + 0.977824i 0.999993 + 0.00373334i \(0.00118836\pi\)
0.226159 + 0.974090i \(0.427383\pi\)
\(12\) −5.35971 3.54835i −1.54722 1.02432i
\(13\) −0.574202 + 0.225358i −0.159255 + 0.0625030i −0.443629 0.896210i \(-0.646309\pi\)
0.284374 + 0.958713i \(0.408214\pi\)
\(14\) −6.18864 + 1.29561i −1.65398 + 0.346267i
\(15\) −0.826827 + 3.86417i −0.213486 + 0.997723i
\(16\) 0.175630 2.34362i 0.0439074 0.585904i
\(17\) 1.39998 + 1.29899i 0.339544 + 0.315051i 0.831452 0.555596i \(-0.187510\pi\)
−0.491908 + 0.870647i \(0.663700\pi\)
\(18\) 4.73163 5.38626i 1.11526 1.26955i
\(19\) 4.54187 2.62225i 1.04198 0.601586i 0.121584 0.992581i \(-0.461203\pi\)
0.920393 + 0.390996i \(0.127869\pi\)
\(20\) −8.09069 + 2.49565i −1.80913 + 0.558043i
\(21\) −0.322249 4.57123i −0.0703204 0.997524i
\(22\) −11.8782 3.66395i −2.53245 0.781157i
\(23\) −0.610005 + 0.139230i −0.127195 + 0.0290314i −0.285644 0.958336i \(-0.592208\pi\)
0.158450 + 0.987367i \(0.449350\pi\)
\(24\) 6.92598 + 1.48197i 1.41376 + 0.302507i
\(25\) 0.127903 + 0.160386i 0.0255807 + 0.0320772i
\(26\) 1.08061 1.00266i 0.211925 0.196638i
\(27\) 3.40282 + 3.92694i 0.654872 + 0.755739i
\(28\) 8.21098 5.38394i 1.55173 1.01747i
\(29\) −2.22091 7.20001i −0.412412 1.33701i −0.889011 0.457887i \(-0.848607\pi\)
0.476598 0.879121i \(-0.341870\pi\)
\(30\) −1.53441 9.31811i −0.280143 1.70125i
\(31\) 4.06806 2.34870i 0.730645 0.421838i −0.0880129 0.996119i \(-0.528052\pi\)
0.818658 + 0.574281i \(0.194718\pi\)
\(32\) −0.755163 2.44818i −0.133495 0.432781i
\(33\) 3.79817 8.16947i 0.661177 1.42212i
\(34\) −4.24852 1.66742i −0.728615 0.285960i
\(35\) −4.92526 3.48967i −0.832521 0.589862i
\(36\) −3.78401 + 10.4706i −0.630668 + 1.74510i
\(37\) −5.42578 + 1.67363i −0.891993 + 0.275143i −0.706678 0.707536i \(-0.749807\pi\)
−0.185315 + 0.982679i \(0.559331\pi\)
\(38\) −7.81438 + 9.79892i −1.26766 + 1.58959i
\(39\) 0.613806 + 0.874485i 0.0982876 + 0.140030i
\(40\) 7.29409 5.81685i 1.15330 0.919724i
\(41\) 6.01384 4.10017i 0.939204 0.640338i 0.00611385 0.999981i \(-0.498054\pi\)
0.933090 + 0.359643i \(0.117102\pi\)
\(42\) 4.70797 + 9.88780i 0.726456 + 1.52572i
\(43\) 4.94212 + 3.36948i 0.753666 + 0.513841i 0.878153 0.478380i \(-0.158776\pi\)
−0.124486 + 0.992221i \(0.539728\pi\)
\(44\) 19.2494 1.44254i 2.90195 0.217471i
\(45\) 6.84190 0.186216i 1.01993 0.0277594i
\(46\) 1.23546 0.842319i 0.182158 0.124193i
\(47\) −0.914445 2.32997i −0.133385 0.339861i 0.848539 0.529132i \(-0.177483\pi\)
−0.981925 + 0.189272i \(0.939387\pi\)
\(48\) −4.01655 + 0.661403i −0.579740 + 0.0954654i
\(49\) 6.61029 + 2.30305i 0.944327 + 0.329007i
\(50\) −0.424565 0.245123i −0.0600426 0.0346656i
\(51\) 1.61480 2.88692i 0.226117 0.404250i
\(52\) −0.993236 + 2.06248i −0.137737 + 0.286014i
\(53\) 1.70161 5.51649i 0.233735 0.757749i −0.760386 0.649471i \(-0.774990\pi\)
0.994121 0.108278i \(-0.0345335\pi\)
\(54\) −10.9985 5.76489i −1.49670 0.784502i
\(55\) −5.14893 10.6919i −0.694282 1.44169i
\(56\) −6.25476 + 8.82785i −0.835827 + 1.17967i
\(57\) −6.26853 6.57418i −0.830288 0.870772i
\(58\) 11.2269 + 14.0781i 1.47416 + 1.84854i
\(59\) 10.4099 + 7.09734i 1.35525 + 0.923995i 0.999942 0.0107533i \(-0.00342294\pi\)
0.355310 + 0.934749i \(0.384375\pi\)
\(60\) 7.50461 + 12.5993i 0.968841 + 1.62657i
\(61\) −0.0705253 + 0.0760081i −0.00902983 + 0.00973185i −0.737551 0.675292i \(-0.764018\pi\)
0.728521 + 0.685024i \(0.240208\pi\)
\(62\) −6.99918 + 8.77669i −0.888896 + 1.11464i
\(63\) −7.56282 + 2.40910i −0.952826 + 0.303518i
\(64\) 6.74805 + 8.46179i 0.843506 + 1.05772i
\(65\) 1.40338 + 0.105168i 0.174067 + 0.0130445i
\(66\) −1.31671 + 21.4899i −0.162076 + 2.64523i
\(67\) −6.07583 10.5237i −0.742281 1.28567i −0.951454 0.307790i \(-0.900410\pi\)
0.209173 0.977879i \(-0.432923\pi\)
\(68\) 7.08747 0.859482
\(69\) 0.483453 + 0.969920i 0.0582010 + 0.116765i
\(70\) 14.0035 + 3.46292i 1.67374 + 0.413898i
\(71\) 2.65016 0.604882i 0.314516 0.0717862i −0.0623490 0.998054i \(-0.519859\pi\)
0.376865 + 0.926268i \(0.377002\pi\)
\(72\) −0.333766 12.2632i −0.0393347 1.44523i
\(73\) −1.02444 6.79671i −0.119902 0.795495i −0.965259 0.261294i \(-0.915851\pi\)
0.845358 0.534201i \(-0.179387\pi\)
\(74\) 10.6089 8.46036i 1.23327 0.983496i
\(75\) 0.217735 0.280785i 0.0251419 0.0324222i
\(76\) 5.73682 18.5983i 0.658058 2.13337i
\(77\) 9.17707 + 10.2552i 1.04582 + 1.16869i
\(78\) −2.12898 1.40947i −0.241059 0.159591i
\(79\) −6.67798 + 11.5666i −0.751332 + 1.30135i 0.195845 + 0.980635i \(0.437255\pi\)
−0.947177 + 0.320710i \(0.896078\pi\)
\(80\) −2.68095 + 4.64354i −0.299739 + 0.519164i
\(81\) 5.22036 7.33129i 0.580040 0.814588i
\(82\) −9.79856 + 14.3718i −1.08207 + 1.58710i
\(83\) 5.52037 14.0657i 0.605940 1.54391i −0.217234 0.976119i \(-0.569704\pi\)
0.823174 0.567789i \(-0.192201\pi\)
\(84\) −12.4154 11.6224i −1.35463 1.26810i
\(85\) −1.59184 4.05595i −0.172660 0.439930i
\(86\) −13.9361 3.18082i −1.50277 0.342997i
\(87\) −11.2123 + 6.67845i −1.20209 + 0.716005i
\(88\) −19.1637 + 9.22875i −2.04286 + 0.983788i
\(89\) −2.61883 + 6.67267i −0.277596 + 0.707302i 0.722281 + 0.691600i \(0.243094\pi\)
−0.999877 + 0.0157024i \(0.995002\pi\)
\(90\) −15.0579 + 6.38785i −1.58724 + 0.673339i
\(91\) −1.59738 + 0.334417i −0.167451 + 0.0350565i
\(92\) −1.30804 + 1.91854i −0.136373 + 0.200022i
\(93\) −5.61460 5.88836i −0.582207 0.610594i
\(94\) 4.06854 + 4.38485i 0.419638 + 0.452262i
\(95\) −11.9318 + 0.894162i −1.22417 + 0.0917390i
\(96\) −3.81246 + 2.27083i −0.389107 + 0.231766i
\(97\) −10.2826 + 5.93664i −1.04404 + 0.602775i −0.920974 0.389624i \(-0.872605\pi\)
−0.123063 + 0.992399i \(0.539272\pi\)
\(98\) −16.7160 + 0.648019i −1.68857 + 0.0654598i
\(99\) −15.3021 3.05713i −1.53792 0.307253i
\(100\) 0.752801 + 0.113467i 0.0752801 + 0.0113467i
\(101\) 0.777256 + 0.374307i 0.0773399 + 0.0372449i 0.472154 0.881516i \(-0.343477\pi\)
−0.394814 + 0.918761i \(0.629191\pi\)
\(102\) −1.07174 + 7.83211i −0.106118 + 0.775495i
\(103\) 7.60553 15.7930i 0.749395 1.55613i −0.0795676 0.996829i \(-0.525354\pi\)
0.828962 0.559305i \(-0.188932\pi\)
\(104\) 0.188500 2.51536i 0.0184839 0.246651i
\(105\) −3.86265 + 9.71534i −0.376956 + 0.948120i
\(106\) 1.03099 + 13.7576i 0.100139 + 1.33626i
\(107\) −6.91589 2.71429i −0.668584 0.262400i 0.00667807 0.999978i \(-0.497874\pi\)
−0.675262 + 0.737578i \(0.735970\pi\)
\(108\) 19.1696 + 2.09361i 1.84459 + 0.201458i
\(109\) −5.55422 14.1519i −0.531998 1.35551i −0.904101 0.427318i \(-0.859458\pi\)
0.372103 0.928191i \(-0.378637\pi\)
\(110\) 20.7893 + 19.2896i 1.98218 + 1.83919i
\(111\) 5.03274 + 8.44937i 0.477687 + 0.801979i
\(112\) 1.49269 6.03619i 0.141046 0.570366i
\(113\) 0.119063 + 0.789934i 0.0112005 + 0.0743107i 0.993733 0.111782i \(-0.0356557\pi\)
−0.982532 + 0.186092i \(0.940418\pi\)
\(114\) 19.6848 + 9.15191i 1.84365 + 0.857155i
\(115\) 1.39171 + 0.317649i 0.129778 + 0.0296210i
\(116\) −24.2161 13.9812i −2.24841 1.29812i
\(117\) 1.22130 1.39027i 0.112910 0.128531i
\(118\) −29.3544 6.69996i −2.70230 0.616781i
\(119\) 3.07867 + 4.00661i 0.282221 + 0.367285i
\(120\) −12.7696 9.90226i −1.16570 0.903949i
\(121\) 3.57268 + 15.6529i 0.324789 + 1.42299i
\(122\) 0.0905284 0.230662i 0.00819605 0.0208832i
\(123\) −9.35728 8.44832i −0.843718 0.761759i
\(124\) 5.13835 16.6581i 0.461437 1.49594i
\(125\) 2.43424 + 10.6651i 0.217725 + 0.953915i
\(126\) 14.7209 11.9623i 1.31144 1.06569i
\(127\) −2.48820 + 10.9015i −0.220792 + 0.967355i 0.736091 + 0.676882i \(0.236669\pi\)
−0.956883 + 0.290472i \(0.906188\pi\)
\(128\) −17.9621 10.3704i −1.58764 0.916624i
\(129\) 3.65345 9.69464i 0.321669 0.853566i
\(130\) −3.21377 + 0.991316i −0.281866 + 0.0869442i
\(131\) 12.6483 6.09110i 1.10509 0.532182i 0.209833 0.977737i \(-0.432708\pi\)
0.895254 + 0.445555i \(0.146994\pi\)
\(132\) −10.2887 31.8120i −0.895517 2.76888i
\(133\) 13.0058 4.83569i 1.12774 0.419308i
\(134\) 22.7044 + 18.1061i 1.96136 + 1.56413i
\(135\) −3.10737 11.4404i −0.267440 0.984634i
\(136\) −7.26974 + 2.85316i −0.623375 + 0.244657i
\(137\) 4.50890 + 9.36283i 0.385221 + 0.799920i 0.999938 + 0.0111721i \(0.00355627\pi\)
−0.614716 + 0.788748i \(0.710729\pi\)
\(138\) −1.92232 1.73558i −0.163639 0.147743i
\(139\) 1.88711 + 2.76788i 0.160062 + 0.234768i 0.897889 0.440222i \(-0.145100\pi\)
−0.737827 + 0.674990i \(0.764148\pi\)
\(140\) −22.2075 + 2.93890i −1.87688 + 0.248382i
\(141\) −3.54844 + 2.49067i −0.298833 + 0.209752i
\(142\) −5.36742 + 3.65945i −0.450424 + 0.307094i
\(143\) −3.06595 0.945721i −0.256388 0.0790851i
\(144\) 2.75347 + 6.49067i 0.229456 + 0.540890i
\(145\) −2.56209 + 16.9984i −0.212770 + 1.41164i
\(146\) 8.21311 + 14.2255i 0.679722 + 1.17731i
\(147\) 1.17721 12.0671i 0.0970944 0.995275i
\(148\) −10.5360 + 18.2488i −0.866050 + 1.50004i
\(149\) 15.0850 + 12.0299i 1.23581 + 0.985526i 0.999905 + 0.0137500i \(0.00437690\pi\)
0.235905 + 0.971776i \(0.424195\pi\)
\(150\) −0.239223 + 0.814736i −0.0195325 + 0.0665229i
\(151\) 2.06253 + 9.03652i 0.167846 + 0.735381i 0.986856 + 0.161602i \(0.0516661\pi\)
−0.819010 + 0.573779i \(0.805477\pi\)
\(152\) 1.60266 + 21.3860i 0.129993 + 1.73464i
\(153\) −5.51875 1.53918i −0.446165 0.124436i
\(154\) −29.3690 14.8014i −2.36662 1.19273i
\(155\) −10.6870 + 0.800882i −0.858403 + 0.0643284i
\(156\) 3.87721 + 0.829617i 0.310425 + 0.0664225i
\(157\) 9.87233 14.4801i 0.787898 1.15563i −0.196642 0.980475i \(-0.563004\pi\)
0.984540 0.175159i \(-0.0560439\pi\)
\(158\) 4.75714 31.5615i 0.378457 2.51090i
\(159\) −9.98036 0.611509i −0.791494 0.0484958i
\(160\) −0.871174 + 5.77986i −0.0688723 + 0.456938i
\(161\) −1.65276 + 0.0939337i −0.130256 + 0.00740301i
\(162\) −5.21233 + 20.8670i −0.409519 + 1.63947i
\(163\) 5.34850 + 3.64655i 0.418927 + 0.285620i 0.754381 0.656437i \(-0.227937\pi\)
−0.335454 + 0.942057i \(0.608890\pi\)
\(164\) 6.01066 26.3344i 0.469354 2.05637i
\(165\) −15.8942 + 13.0329i −1.23736 + 1.01461i
\(166\) 36.1103i 2.80270i
\(167\) −8.76265 8.13055i −0.678074 0.629161i 0.264017 0.964518i \(-0.414953\pi\)
−0.942091 + 0.335357i \(0.891143\pi\)
\(168\) 17.4134 + 6.92327i 1.34347 + 0.534142i
\(169\) −9.25075 + 8.58344i −0.711596 + 0.660265i
\(170\) 7.08243 + 7.63304i 0.543197 + 0.585428i
\(171\) −8.50604 + 13.2360i −0.650473 + 1.01218i
\(172\) 21.9500 3.30843i 1.67367 0.252266i
\(173\) 10.5030 + 3.23974i 0.798526 + 0.246313i 0.667056 0.745007i \(-0.267554\pi\)
0.131470 + 0.991320i \(0.458030\pi\)
\(174\) 19.1120 24.6462i 1.44888 1.86843i
\(175\) 0.262860 + 0.474853i 0.0198703 + 0.0358955i
\(176\) 8.31475 8.96117i 0.626748 0.675474i
\(177\) 7.69549 20.4204i 0.578429 1.53489i
\(178\) 17.1305i 1.28398i
\(179\) 3.28564 3.54108i 0.245581 0.264673i −0.598217 0.801334i \(-0.704124\pi\)
0.843798 + 0.536661i \(0.180315\pi\)
\(180\) 18.1430 17.7769i 1.35230 1.32502i
\(181\) 9.98850 7.96556i 0.742439 0.592075i −0.177507 0.984119i \(-0.556803\pi\)
0.919946 + 0.392044i \(0.128232\pi\)
\(182\) 3.26155 2.13860i 0.241762 0.158524i
\(183\) 0.156738 + 0.0876715i 0.0115864 + 0.00648087i
\(184\) 0.569343 2.49445i 0.0419725 0.183894i
\(185\) 12.8096 + 1.93074i 0.941783 + 0.141951i
\(186\) 17.6313 + 8.19718i 1.29279 + 0.601046i
\(187\) 1.48055 + 9.82280i 0.108268 + 0.718315i
\(188\) −8.36901 4.03030i −0.610373 0.293940i
\(189\) 7.14338 + 11.7462i 0.519604 + 0.854407i
\(190\) 25.7627 12.4067i 1.86902 0.900073i
\(191\) 4.05385 + 5.94591i 0.293326 + 0.430231i 0.944407 0.328777i \(-0.106637\pi\)
−0.651081 + 0.759008i \(0.725684\pi\)
\(192\) 11.4875 14.8139i 0.829038 1.06910i
\(193\) 1.96127 + 26.1714i 0.141176 + 1.88386i 0.397981 + 0.917394i \(0.369711\pi\)
−0.256805 + 0.966463i \(0.582670\pi\)
\(194\) 17.6914 22.1843i 1.27017 1.59274i
\(195\) −0.396054 2.40514i −0.0283620 0.172236i
\(196\) 23.7963 10.4204i 1.69974 0.744315i
\(197\) 14.2362i 1.01429i −0.861861 0.507144i \(-0.830701\pi\)
0.861861 0.507144i \(-0.169299\pi\)
\(198\) 36.7101 6.55920i 2.60887 0.466142i
\(199\) −5.46115 8.01003i −0.387131 0.567816i 0.582364 0.812928i \(-0.302128\pi\)
−0.969495 + 0.245112i \(0.921175\pi\)
\(200\) −0.817838 + 0.186666i −0.0578299 + 0.0131993i
\(201\) −15.2326 + 14.5244i −1.07442 + 1.02447i
\(202\) −2.05589 0.154067i −0.144652 0.0108401i
\(203\) −2.61536 19.7628i −0.183562 1.38708i
\(204\) −2.89420 11.9298i −0.202635 0.835254i
\(205\) −16.4204 + 2.47498i −1.14685 + 0.172860i
\(206\) −3.13049 + 41.7735i −0.218111 + 2.91050i
\(207\) 1.43517 1.20983i 0.0997515 0.0840892i
\(208\) 0.427305 + 1.38529i 0.0296283 + 0.0960525i
\(209\) 26.9745 + 4.06575i 1.86587 + 0.281234i
\(210\) 0.110468 24.9852i 0.00762303 1.72414i
\(211\) 14.7601 2.22473i 1.01613 0.153157i 0.380200 0.924904i \(-0.375855\pi\)
0.635930 + 0.771747i \(0.280617\pi\)
\(212\) −9.29562 19.3025i −0.638426 1.32570i
\(213\) −2.10036 4.21381i −0.143914 0.288725i
\(214\) 17.7549 1.21370
\(215\) −6.82329 11.8183i −0.465345 0.806001i
\(216\) −20.5054 + 5.56953i −1.39521 + 0.378958i
\(217\) 11.6490 4.33123i 0.790785 0.294023i
\(218\) 24.7118 + 26.6330i 1.67370 + 1.80382i
\(219\) −11.0221 + 4.49984i −0.744802 + 0.304071i
\(220\) −40.9959 16.0897i −2.76394 1.08477i
\(221\) −1.09661 0.430386i −0.0737657 0.0289509i
\(222\) −18.5729 14.4024i −1.24653 0.966627i
\(223\) 7.63013 + 8.22333i 0.510952 + 0.550675i 0.934854 0.355033i \(-0.115530\pi\)
−0.423902 + 0.905708i \(0.639340\pi\)
\(224\) −0.889287 6.71983i −0.0594180 0.448987i
\(225\) −0.561537 0.251838i −0.0374358 0.0167892i
\(226\) −0.954552 1.65333i −0.0634958 0.109978i
\(227\) −16.4473 −1.09165 −0.545824 0.837900i \(-0.683783\pi\)
−0.545824 + 0.837900i \(0.683783\pi\)
\(228\) −33.6478 2.06164i −2.22838 0.136535i
\(229\) 7.60896 + 15.8002i 0.502814 + 1.04410i 0.985714 + 0.168429i \(0.0538694\pi\)
−0.482899 + 0.875676i \(0.660416\pi\)
\(230\) −3.37334 + 0.508449i −0.222431 + 0.0335261i
\(231\) 13.5144 19.6348i 0.889180 1.29188i
\(232\) 30.4672 + 4.59220i 2.00027 + 0.301493i
\(233\) 6.03806 + 19.5749i 0.395567 + 1.28240i 0.906292 + 0.422652i \(0.138901\pi\)
−0.510726 + 0.859744i \(0.670623\pi\)
\(234\) −1.50308 + 4.15911i −0.0982592 + 0.271889i
\(235\) −0.426747 + 5.69455i −0.0278379 + 0.371471i
\(236\) 46.2347 6.96876i 3.00962 0.453627i
\(237\) 22.1962 + 6.51727i 1.44180 + 0.423342i
\(238\) −10.3469 6.22514i −0.670692 0.403516i
\(239\) −26.8227 2.01008i −1.73502 0.130022i −0.830655 0.556788i \(-0.812034\pi\)
−0.904362 + 0.426766i \(0.859653\pi\)
\(240\) 8.91091 + 2.61643i 0.575197 + 0.168890i
\(241\) 16.6552 3.80143i 1.07285 0.244872i 0.350617 0.936519i \(-0.385972\pi\)
0.722236 + 0.691647i \(0.243115\pi\)
\(242\) −21.6142 31.7022i −1.38941 2.03789i
\(243\) −14.4720 5.79327i −0.928378 0.371639i
\(244\) 0.384796i 0.0246341i
\(245\) −11.3079 11.2775i −0.722438 0.720494i
\(246\) 28.1923 + 10.6244i 1.79748 + 0.677385i
\(247\) −2.01701 + 2.52925i −0.128339 + 0.160932i
\(248\) 1.43547 + 19.1550i 0.0911525 + 1.21635i
\(249\) −25.9300 3.54824i −1.64325 0.224860i
\(250\) −14.7268 21.6002i −0.931404 1.36612i
\(251\) −5.01961 + 2.41732i −0.316835 + 0.152580i −0.585542 0.810642i \(-0.699118\pi\)
0.268706 + 0.963222i \(0.413404\pi\)
\(252\) −14.4932 + 25.6439i −0.912984 + 1.61542i
\(253\) −2.93223 1.41209i −0.184348 0.0887772i
\(254\) −3.98277 26.4240i −0.249901 1.65799i
\(255\) −6.17704 + 4.33570i −0.386821 + 0.271512i
\(256\) 27.6084 + 4.16130i 1.72553 + 0.260081i
\(257\) −1.65977 + 7.27194i −0.103534 + 0.453611i 0.896412 + 0.443221i \(0.146164\pi\)
−0.999946 + 0.0103899i \(0.996693\pi\)
\(258\) 0.336836 + 24.7565i 0.0209705 + 1.54127i
\(259\) −14.8928 + 1.97088i −0.925396 + 0.122465i
\(260\) 4.08328 3.25630i 0.253234 0.201947i
\(261\) 15.8199 + 16.1457i 0.979229 + 0.999391i
\(262\) −22.8193 + 24.5934i −1.40978 + 1.51938i
\(263\) 7.15831i 0.441400i −0.975342 0.220700i \(-0.929166\pi\)
0.975342 0.220700i \(-0.0708342\pi\)
\(264\) 23.3597 + 28.4882i 1.43769 + 1.75333i
\(265\) −8.95849 + 9.65496i −0.550316 + 0.593099i
\(266\) −24.7106 + 22.1127i −1.51510 + 1.35581i
\(267\) 12.3010 + 1.68326i 0.752810 + 0.103014i
\(268\) −43.0928 13.2924i −2.63231 0.811961i
\(269\) −13.0298 + 1.96393i −0.794440 + 0.119743i −0.533708 0.845669i \(-0.679202\pi\)
−0.260732 + 0.965411i \(0.583964\pi\)
\(270\) 16.9012 + 22.7373i 1.02857 + 1.38375i
\(271\) −4.58657 4.94315i −0.278614 0.300275i 0.578205 0.815892i \(-0.303753\pi\)
−0.856819 + 0.515617i \(0.827563\pi\)
\(272\) 3.29021 3.05287i 0.199498 0.185107i
\(273\) 1.21520 + 2.55219i 0.0735471 + 0.154465i
\(274\) −18.2051 16.8919i −1.09981 1.02047i
\(275\) 1.06704i 0.0643449i
\(276\) 3.76349 + 1.41828i 0.226535 + 0.0853704i
\(277\) −4.32852 + 18.9645i −0.260075 + 1.13946i 0.661094 + 0.750303i \(0.270092\pi\)
−0.921169 + 0.389162i \(0.872765\pi\)
\(278\) −6.61466 4.50980i −0.396721 0.270480i
\(279\) −7.61868 + 11.8552i −0.456119 + 0.709751i
\(280\) 21.5956 11.9544i 1.29058 0.714414i
\(281\) 2.91832 19.3618i 0.174092 1.15503i −0.715615 0.698495i \(-0.753853\pi\)
0.889707 0.456532i \(-0.150909\pi\)
\(282\) 5.71927 8.63885i 0.340578 0.514436i
\(283\) −1.60917 + 10.6762i −0.0956553 + 0.634632i 0.888707 + 0.458476i \(0.151604\pi\)
−0.984362 + 0.176156i \(0.943634\pi\)
\(284\) 5.68277 8.33509i 0.337210 0.494597i
\(285\) 6.37747 + 19.7187i 0.377769 + 1.16803i
\(286\) 7.64621 0.573004i 0.452130 0.0338824i
\(287\) 17.4980 8.04132i 1.03288 0.474664i
\(288\) 5.37916 + 5.48992i 0.316970 + 0.323496i
\(289\) −0.997848 13.3154i −0.0586970 0.783257i
\(290\) −9.14149 40.0515i −0.536807 2.35190i
\(291\) 14.1916 + 14.8836i 0.831929 + 0.872493i
\(292\) −19.9432 15.9042i −1.16709 0.930723i
\(293\) −8.56348 + 14.8324i −0.500284 + 0.866518i 0.499716 + 0.866189i \(0.333438\pi\)
−1.00000 0.000328097i \(0.999896\pi\)
\(294\) 7.91683 + 27.8722i 0.461719 + 1.62554i
\(295\) −14.3723 24.8936i −0.836789 1.44936i
\(296\) 3.46059 22.9595i 0.201143 1.33449i
\(297\) 1.10284 + 27.0052i 0.0639933 + 1.56700i
\(298\) −44.0612 13.5911i −2.55240 0.787310i
\(299\) 0.318890 0.217415i 0.0184419 0.0125734i
\(300\) −0.116421 1.31347i −0.00672154 0.0758331i
\(301\) 11.4050 + 10.9714i 0.657372 + 0.632382i
\(302\) −12.4780 18.3018i −0.718027 1.05315i
\(303\) 0.312646 1.46115i 0.0179610 0.0839407i
\(304\) −5.34786 11.1050i −0.306721 0.636913i
\(305\) 0.220208 0.0864251i 0.0126091 0.00494869i
\(306\) 13.6209 1.39430i 0.778652 0.0797071i
\(307\) −4.73908 3.77929i −0.270474 0.215696i 0.478855 0.877894i \(-0.341052\pi\)
−0.749328 + 0.662199i \(0.769624\pi\)
\(308\) 50.8520 + 4.73401i 2.89756 + 0.269745i
\(309\) −29.6890 6.35264i −1.68895 0.361389i
\(310\) 23.0751 11.1124i 1.31058 0.631141i
\(311\) −8.58728 + 2.64882i −0.486940 + 0.150201i −0.528497 0.848935i \(-0.677244\pi\)
0.0415574 + 0.999136i \(0.486768\pi\)
\(312\) −4.31089 + 0.709871i −0.244056 + 0.0401886i
\(313\) −14.9634 8.63913i −0.845782 0.488312i 0.0134436 0.999910i \(-0.495721\pi\)
−0.859225 + 0.511597i \(0.829054\pi\)
\(314\) −9.31958 + 40.8317i −0.525934 + 2.30427i
\(315\) 17.9304 + 2.53440i 1.01027 + 0.142797i
\(316\) 11.0294 + 48.3229i 0.620452 + 2.71838i
\(317\) 1.29682 4.20419i 0.0728367 0.236131i −0.911833 0.410562i \(-0.865333\pi\)
0.984669 + 0.174431i \(0.0558087\pi\)
\(318\) 22.7362 7.35340i 1.27498 0.412358i
\(319\) 14.3184 36.4827i 0.801678 2.04264i
\(320\) −5.49460 24.0734i −0.307157 1.34574i
\(321\) −1.74462 + 12.7494i −0.0973749 + 0.711601i
\(322\) 3.59471 1.65197i 0.200325 0.0920608i
\(323\) 9.76478 + 2.22875i 0.543327 + 0.124011i
\(324\) −4.30397 33.1216i −0.239109 1.84009i
\(325\) −0.109587 0.0632699i −0.00607877 0.00350958i
\(326\) −15.0820 3.44238i −0.835317 0.190656i
\(327\) −21.5528 + 15.1280i −1.19187 + 0.836582i
\(328\) 4.43606 + 29.4314i 0.244941 + 1.62507i
\(329\) −1.35698 6.48177i −0.0748128 0.357351i
\(330\) 23.9794 42.8700i 1.32002 2.35992i
\(331\) −12.6931 11.7774i −0.697673 0.647346i 0.249386 0.968404i \(-0.419771\pi\)
−0.947060 + 0.321058i \(0.895962\pi\)
\(332\) −20.4868 52.1995i −1.12436 2.86482i
\(333\) 12.1670 11.9216i 0.666750 0.653299i
\(334\) 26.5921 + 10.4366i 1.45505 + 0.571067i
\(335\) 2.07180 + 27.6462i 0.113194 + 1.51048i
\(336\) −10.7698 0.0476171i −0.587541 0.00259773i
\(337\) 1.52789 20.3883i 0.0832296 1.11062i −0.786664 0.617382i \(-0.788193\pi\)
0.869893 0.493240i \(-0.164188\pi\)
\(338\) 13.0851 27.1715i 0.711735 1.47793i
\(339\) 1.28102 0.522984i 0.0695752 0.0284046i
\(340\) −14.5686 7.01586i −0.790092 0.380488i
\(341\) 24.1605 + 3.64161i 1.30837 + 0.197204i
\(342\) 7.36633 36.8712i 0.398326 1.99377i
\(343\) 16.2274 + 8.92583i 0.876199 + 0.481949i
\(344\) −21.1827 + 12.2298i −1.14209 + 0.659387i
\(345\) −0.0336377 2.47228i −0.00181099 0.133103i
\(346\) −26.1935 + 1.96293i −1.40817 + 0.105528i
\(347\) 23.5060 + 25.3334i 1.26187 + 1.35997i 0.904769 + 0.425902i \(0.140043\pi\)
0.357097 + 0.934067i \(0.383766\pi\)
\(348\) −13.6447 + 46.4705i −0.731434 + 2.49108i
\(349\) 14.1272 20.7207i 0.756209 1.10916i −0.234361 0.972150i \(-0.575300\pi\)
0.990570 0.137006i \(-0.0437479\pi\)
\(350\) −0.999346 0.826857i −0.0534173 0.0441973i
\(351\) −2.83887 1.48800i −0.151528 0.0794238i
\(352\) 4.86861 12.4050i 0.259498 0.661190i
\(353\) −29.5901 + 14.2499i −1.57492 + 0.758443i −0.998284 0.0585549i \(-0.981351\pi\)
−0.576640 + 0.816998i \(0.695636\pi\)
\(354\) 0.709498 + 52.1461i 0.0377094 + 2.77153i
\(355\) −6.04628 1.38002i −0.320903 0.0732441i
\(356\) 9.71880 + 24.7631i 0.515096 + 1.31244i
\(357\) 5.48683 6.81821i 0.290394 0.360858i
\(358\) −4.21755 + 10.7461i −0.222905 + 0.567952i
\(359\) −6.56260 + 9.62556i −0.346361 + 0.508018i −0.959405 0.282030i \(-0.908992\pi\)
0.613045 + 0.790048i \(0.289944\pi\)
\(360\) −11.4532 + 25.5378i −0.603636 + 1.34596i
\(361\) 4.25240 7.36537i 0.223810 0.387651i
\(362\) −15.2657 + 26.4410i −0.802349 + 1.38971i
\(363\) 24.8885 12.4056i 1.30631 0.651124i
\(364\) −3.50145 + 4.94188i −0.183526 + 0.259025i
\(365\) −4.62226 + 14.9850i −0.241940 + 0.784351i
\(366\) −0.425225 0.0581874i −0.0222268 0.00304150i
\(367\) −1.66471 + 1.32756i −0.0868971 + 0.0692981i −0.665975 0.745974i \(-0.731984\pi\)
0.579078 + 0.815272i \(0.303413\pi\)
\(368\) 0.219166 + 1.45407i 0.0114248 + 0.0757987i
\(369\) −10.3993 + 19.2003i −0.541367 + 0.999529i
\(370\) −30.1820 + 6.88884i −1.56909 + 0.358134i
\(371\) 6.87405 13.6396i 0.356883 0.708131i
\(372\) −30.1376 1.84657i −1.56256 0.0957401i
\(373\) −4.68702 −0.242685 −0.121342 0.992611i \(-0.538720\pi\)
−0.121342 + 0.992611i \(0.538720\pi\)
\(374\) −11.8698 20.5591i −0.613774 1.06309i
\(375\) 16.9577 8.45251i 0.875693 0.436486i
\(376\) 10.2067 + 0.764886i 0.526370 + 0.0394460i
\(377\) 2.89783 + 3.63376i 0.149246 + 0.187148i
\(378\) −26.1466 19.8937i −1.34484 1.02322i
\(379\) 5.42380 6.80123i 0.278602 0.349356i −0.622767 0.782407i \(-0.713992\pi\)
0.901369 + 0.433051i \(0.142563\pi\)
\(380\) −30.2026 + 32.5507i −1.54936 + 1.66982i
\(381\) 19.3658 0.263490i 0.992140 0.0134990i
\(382\) −14.2095 9.68788i −0.727021 0.495675i
\(383\) −3.82941 4.80193i −0.195674 0.245367i 0.674309 0.738449i \(-0.264442\pi\)
−0.869983 + 0.493082i \(0.835870\pi\)
\(384\) −10.1208 + 34.4690i −0.516477 + 1.75899i
\(385\) −8.71222 30.1644i −0.444016 1.53732i
\(386\) −27.2130 56.5084i −1.38511 2.87620i
\(387\) −17.8102 2.19073i −0.905342 0.111361i
\(388\) −12.9879 + 42.1056i −0.659359 + 2.13759i
\(389\) 8.41827 17.4807i 0.426823 0.886307i −0.571037 0.820924i \(-0.693459\pi\)
0.997860 0.0653829i \(-0.0208269\pi\)
\(390\) 2.98097 + 5.00469i 0.150947 + 0.253422i
\(391\) −1.03485 0.597471i −0.0523346 0.0302154i
\(392\) −20.2134 + 20.2679i −1.02093 + 1.02368i
\(393\) −15.4177 18.8026i −0.777720 0.948466i
\(394\) 12.4295 + 31.6699i 0.626189 + 1.59550i
\(395\) 25.1766 17.1651i 1.26677 0.863671i
\(396\) −49.3453 + 30.3088i −2.47969 + 1.52307i
\(397\) 3.83629 0.287490i 0.192538 0.0144287i 0.0218879 0.999760i \(-0.493032\pi\)
0.170650 + 0.985332i \(0.445413\pi\)
\(398\) 19.1423 + 13.0510i 0.959519 + 0.654189i
\(399\) −13.4505 19.9169i −0.673369 0.997094i
\(400\) 0.398347 0.271588i 0.0199173 0.0135794i
\(401\) −22.1657 + 17.6766i −1.10690 + 0.882727i −0.993836 0.110861i \(-0.964639\pi\)
−0.113068 + 0.993587i \(0.536068\pi\)
\(402\) 21.2053 45.6103i 1.05762 2.27484i
\(403\) −1.80659 + 2.26539i −0.0899927 + 0.112847i
\(404\) 3.05931 0.943672i 0.152206 0.0469494i
\(405\) −17.9879 + 9.90215i −0.893825 + 0.492042i
\(406\) 23.0728 + 41.6808i 1.14509 + 2.06858i
\(407\) −27.4927 10.7901i −1.36276 0.534844i
\(408\) 7.77115 + 11.0715i 0.384729 + 0.548121i
\(409\) −5.42021 17.5719i −0.268012 0.868874i −0.985113 0.171905i \(-0.945008\pi\)
0.717101 0.696969i \(-0.245469\pi\)
\(410\) 34.3680 19.8424i 1.69731 0.979944i
\(411\) 13.9185 11.4129i 0.686550 0.562955i
\(412\) −19.1744 62.1620i −0.944657 3.06250i
\(413\) 24.0230 + 23.1098i 1.18209 + 1.13716i
\(414\) −2.13639 + 3.94443i −0.104998 + 0.193858i
\(415\) −25.2709 + 23.4480i −1.24050 + 1.15102i
\(416\) 0.985331 + 1.23557i 0.0483098 + 0.0605786i
\(417\) 3.88835 4.30670i 0.190413 0.210900i
\(418\) −63.5572 + 14.5065i −3.10869 + 0.709537i
\(419\) 18.5000 + 5.70650i 0.903785 + 0.278781i 0.711606 0.702579i \(-0.247968\pi\)
0.192179 + 0.981360i \(0.438444\pi\)
\(420\) 14.0154 + 36.1802i 0.683881 + 1.76541i
\(421\) 24.5836 7.58303i 1.19813 0.369574i 0.369425 0.929260i \(-0.379555\pi\)
0.828705 + 0.559686i \(0.189078\pi\)
\(422\) −30.8930 + 17.8361i −1.50385 + 0.868246i
\(423\) 5.64138 + 4.95575i 0.274293 + 0.240957i
\(424\) 17.3052 + 16.0569i 0.840414 + 0.779790i
\(425\) −0.0292775 + 0.390681i −0.00142017 + 0.0189508i
\(426\) 8.35149 + 7.54023i 0.404631 + 0.365325i
\(427\) −0.217529 + 0.167149i −0.0105270 + 0.00808888i
\(428\) −25.6657 + 10.0730i −1.24060 + 0.486899i
\(429\) −0.339864 + 5.54687i −0.0164088 + 0.267806i
\(430\) 25.4975 + 20.3336i 1.22960 + 0.980573i
\(431\) −19.6353 1.47146i −0.945797 0.0708777i −0.407106 0.913381i \(-0.633462\pi\)
−0.538691 + 0.842503i \(0.681081\pi\)
\(432\) 9.80087 7.28521i 0.471545 0.350510i
\(433\) −2.53480 + 5.26356i −0.121814 + 0.252950i −0.952955 0.303112i \(-0.901974\pi\)
0.831140 + 0.556063i \(0.187689\pi\)
\(434\) −22.1328 + 19.8059i −1.06241 + 0.950712i
\(435\) 29.6583 2.62879i 1.42201 0.126041i
\(436\) −50.8323 24.4796i −2.43443 1.17236i
\(437\) −2.40547 + 2.23195i −0.115069 + 0.106769i
\(438\) 20.5909 19.6336i 0.983871 0.938129i
\(439\) 2.08369 0.817788i 0.0994491 0.0390309i −0.315095 0.949060i \(-0.602036\pi\)
0.414544 + 0.910029i \(0.363941\pi\)
\(440\) 48.5273 2.31345
\(441\) −20.7923 + 2.94615i −0.990110 + 0.140293i
\(442\) 2.81527 0.133909
\(443\) 18.2465 7.16123i 0.866919 0.340240i 0.110143 0.993916i \(-0.464869\pi\)
0.756775 + 0.653675i \(0.226774\pi\)
\(444\) 35.0193 + 10.2824i 1.66194 + 0.487980i
\(445\) 11.9884 11.1236i 0.568303 0.527308i
\(446\) −24.1537 11.6318i −1.14371 0.550782i
\(447\) 14.0890 30.3039i 0.666385 1.43333i
\(448\) 13.8682 + 25.0527i 0.655210 + 1.18363i
\(449\) 4.07501 8.46185i 0.192312 0.399339i −0.782409 0.622764i \(-0.786010\pi\)
0.974721 + 0.223425i \(0.0717238\pi\)
\(450\) 1.46907 + 0.0699653i 0.0692527 + 0.00329820i
\(451\) 37.7535 + 2.82924i 1.77774 + 0.133224i
\(452\) 2.31786 + 1.84843i 0.109023 + 0.0869429i
\(453\) 14.3682 7.16180i 0.675079 0.336491i
\(454\) 36.5887 14.3600i 1.71719 0.673948i
\(455\) 3.61452 + 0.893832i 0.169451 + 0.0419035i
\(456\) 35.3430 11.4307i 1.65509 0.535293i
\(457\) −1.22110 + 16.2944i −0.0571205 + 0.762220i 0.892944 + 0.450167i \(0.148636\pi\)
−0.950065 + 0.312053i \(0.898983\pi\)
\(458\) −30.7219 28.5057i −1.43554 1.33198i
\(459\) −0.337182 + 9.91784i −0.0157383 + 0.462925i
\(460\) 4.58789 2.64882i 0.213912 0.123502i
\(461\) −23.2848 + 7.18240i −1.08448 + 0.334518i −0.784944 0.619567i \(-0.787308\pi\)
−0.299536 + 0.954085i \(0.596832\pi\)
\(462\) −12.9210 + 55.4789i −0.601140 + 2.58111i
\(463\) 15.0063 + 4.62883i 0.697402 + 0.215120i 0.623131 0.782118i \(-0.285861\pi\)
0.0742719 + 0.997238i \(0.476337\pi\)
\(464\) −17.2641 + 3.94042i −0.801466 + 0.182929i
\(465\) 5.71217 + 17.6616i 0.264895 + 0.819038i
\(466\) −30.5229 38.2745i −1.41395 1.77303i
\(467\) −24.4592 + 22.6948i −1.13184 + 1.05019i −0.133586 + 0.991037i \(0.542649\pi\)
−0.998249 + 0.0591522i \(0.981160\pi\)
\(468\) −0.186844 6.86499i −0.00863687 0.317334i
\(469\) −11.2044 30.1347i −0.517373 1.39149i
\(470\) −4.02251 13.0407i −0.185545 0.601521i
\(471\) −28.4046 10.7044i −1.30882 0.493231i
\(472\) −44.6183 + 25.7604i −2.05372 + 1.18572i
\(473\) 9.17058 + 29.7303i 0.421664 + 1.36700i
\(474\) −55.0678 + 4.88099i −2.52935 + 0.224191i
\(475\) 1.00149 + 0.393057i 0.0459517 + 0.0180347i
\(476\) 18.4889 + 3.12857i 0.847435 + 0.143398i
\(477\) 3.04623 + 17.0489i 0.139477 + 0.780616i
\(478\) 61.4247 18.9470i 2.80950 0.866617i
\(479\) −23.9697 + 30.0571i −1.09520 + 1.37334i −0.173779 + 0.984785i \(0.555598\pi\)
−0.921424 + 0.388558i \(0.872973\pi\)
\(480\) 10.0846 0.893854i 0.460295 0.0407987i
\(481\) 2.73833 2.18374i 0.124857 0.0995702i
\(482\) −33.7320 + 22.9981i −1.53645 + 1.04754i
\(483\) 0.833024 + 2.74361i 0.0379039 + 0.124838i
\(484\) 49.2305 + 33.5648i 2.23775 + 1.52567i
\(485\) 27.0129 2.02434i 1.22659 0.0919204i
\(486\) 37.2524 + 0.252360i 1.68980 + 0.0114473i
\(487\) 15.4696 10.5470i 0.700995 0.477930i −0.159625 0.987178i \(-0.551029\pi\)
0.860620 + 0.509248i \(0.170076\pi\)
\(488\) −0.154905 0.394692i −0.00701223 0.0178669i
\(489\) 3.95387 10.4918i 0.178800 0.474456i
\(490\) 35.0019 + 15.2151i 1.58123 + 0.687348i
\(491\) −12.8248 7.40437i −0.578773 0.334155i 0.181873 0.983322i \(-0.441784\pi\)
−0.760646 + 0.649167i \(0.775117\pi\)
\(492\) −46.7813 + 0.636504i −2.10906 + 0.0286958i
\(493\) 6.24350 12.9648i 0.281193 0.583904i
\(494\) 2.27877 7.38759i 0.102527 0.332383i
\(495\) 28.4278 + 21.4315i 1.27773 + 0.963275i
\(496\) −4.78997 9.94648i −0.215076 0.446610i
\(497\) 7.18039 0.408094i 0.322085 0.0183055i
\(498\) 60.7817 14.7458i 2.72369 0.660776i
\(499\) 2.13779 + 2.68071i 0.0957007 + 0.120005i 0.827376 0.561648i \(-0.189833\pi\)
−0.731675 + 0.681653i \(0.761261\pi\)
\(500\) 33.5431 + 22.8693i 1.50009 + 1.02275i
\(501\) −10.1073 + 18.0697i −0.451560 + 0.807293i
\(502\) 9.05609 9.76014i 0.404193 0.435616i
\(503\) −7.17705 + 8.99973i −0.320009 + 0.401278i −0.915653 0.401970i \(-0.868325\pi\)
0.595644 + 0.803249i \(0.296897\pi\)
\(504\) 4.54256 32.1378i 0.202342 1.43153i
\(505\) −1.22716 1.53881i −0.0546078 0.0684760i
\(506\) 7.75592 + 0.581226i 0.344793 + 0.0258386i
\(507\) 18.2255 + 12.0660i 0.809421 + 0.535870i
\(508\) 20.7487 + 35.9378i 0.920574 + 1.59448i
\(509\) −11.8892 −0.526979 −0.263490 0.964662i \(-0.584873\pi\)
−0.263490 + 0.964662i \(0.584873\pi\)
\(510\) 9.95598 15.0383i 0.440858 0.665908i
\(511\) 0.327803 18.1826i 0.0145011 0.804350i
\(512\) −24.6092 + 5.61690i −1.08759 + 0.248234i
\(513\) 25.7526 + 8.91261i 1.13700 + 0.393501i
\(514\) −2.65673 17.6263i −0.117184 0.777462i
\(515\) −31.2669 + 24.9345i −1.37779 + 1.09875i
\(516\) −14.5322 35.5958i −0.639746 1.56702i
\(517\) 3.83750 12.4409i 0.168773 0.547148i
\(518\) 31.4098 17.3872i 1.38007 0.763951i
\(519\) 1.16426 19.0018i 0.0511056 0.834088i
\(520\) −2.87741 + 4.98382i −0.126183 + 0.218555i
\(521\) 12.6917 21.9826i 0.556032 0.963075i −0.441791 0.897118i \(-0.645657\pi\)
0.997822 0.0659572i \(-0.0210101\pi\)
\(522\) −49.2896 22.1054i −2.15735 0.967526i
\(523\) −14.7381 + 21.6169i −0.644454 + 0.945240i 0.355490 + 0.934680i \(0.384314\pi\)
−0.999944 + 0.0105602i \(0.996639\pi\)
\(524\) 19.0338 48.4974i 0.831497 2.11862i
\(525\) 0.691944 0.636360i 0.0301989 0.0277730i
\(526\) 6.24985 + 15.9244i 0.272507 + 0.694335i
\(527\) 8.74612 + 1.99624i 0.380987 + 0.0869577i
\(528\) −18.4790 10.3363i −0.804197 0.449828i
\(529\) −20.3696 + 9.80946i −0.885633 + 0.426498i
\(530\) 11.4994 29.3000i 0.499502 1.27271i
\(531\) −37.5147 4.61446i −1.62800 0.200250i
\(532\) 23.1752 45.9844i 1.00477 1.99368i
\(533\) −2.52915 + 3.70959i −0.109550 + 0.160680i
\(534\) −28.8345 + 6.99532i −1.24779 + 0.302717i
\(535\) 11.5290 + 12.4253i 0.498443 + 0.537194i
\(536\) 49.5521 3.71341i 2.14032 0.160395i
\(537\) −7.30215 4.08446i −0.315111 0.176257i
\(538\) 27.2714 15.7451i 1.17575 0.678821i
\(539\) 19.4130 + 30.8035i 0.836178 + 1.32680i
\(540\) −37.3314 23.2794i −1.60649 1.00179i
\(541\) −29.6823 4.47388i −1.27614 0.192347i −0.524209 0.851589i \(-0.675639\pi\)
−0.751931 + 0.659242i \(0.770877\pi\)
\(542\) 14.5191 + 6.99203i 0.623649 + 0.300333i
\(543\) −17.4867 13.5601i −0.750425 0.581920i
\(544\) 2.12294 4.40834i 0.0910204 0.189006i
\(545\) −2.59201 + 34.5880i −0.111030 + 1.48159i
\(546\) −4.93162 4.61662i −0.211054 0.197573i
\(547\) 1.93233 + 25.7852i 0.0826206 + 1.10249i 0.872299 + 0.488973i \(0.162628\pi\)
−0.789678 + 0.613521i \(0.789752\pi\)
\(548\) 35.8999 + 14.0897i 1.53357 + 0.601881i
\(549\) 0.0835661 0.299627i 0.00356651 0.0127878i
\(550\) −0.931622 2.37373i −0.0397245 0.101216i
\(551\) −28.9673 26.8777i −1.23405 1.14503i
\(552\) −4.43122 + 0.0602910i −0.188605 + 0.00256616i
\(553\) −22.5264 + 27.2256i −0.957920 + 1.15775i
\(554\) −6.92849 45.9675i −0.294363 1.95297i
\(555\) −1.98101 22.3499i −0.0840891 0.948701i
\(556\) 12.1205 + 2.76642i 0.514022 + 0.117322i
\(557\) 18.4058 + 10.6266i 0.779879 + 0.450263i 0.836387 0.548139i \(-0.184663\pi\)
−0.0565085 + 0.998402i \(0.517997\pi\)
\(558\) 6.59787 33.0248i 0.279310 1.39805i
\(559\) −3.59711 0.821018i −0.152142 0.0347253i
\(560\) −9.04348 + 10.9300i −0.382157 + 0.461878i
\(561\) 15.9294 6.50329i 0.672540 0.274569i
\(562\) 10.4125 + 45.6201i 0.439225 + 1.92437i
\(563\) 9.68157 24.6682i 0.408030 1.03964i −0.568197 0.822892i \(-0.692359\pi\)
0.976227 0.216750i \(-0.0695458\pi\)
\(564\) −3.36638 + 15.7327i −0.141750 + 0.662467i
\(565\) 0.537213 1.74160i 0.0226007 0.0732697i
\(566\) −5.74149 25.1551i −0.241333 1.05735i
\(567\) 16.8544 16.8205i 0.707818 0.706395i
\(568\) −2.47350 + 10.8371i −0.103786 + 0.454716i
\(569\) −6.93866 4.00604i −0.290884 0.167942i 0.347457 0.937696i \(-0.387045\pi\)
−0.638340 + 0.769754i \(0.720379\pi\)
\(570\) −31.4035 38.2981i −1.31535 1.60413i
\(571\) −4.91851 + 1.51716i −0.205833 + 0.0634911i −0.395957 0.918269i \(-0.629587\pi\)
0.190124 + 0.981760i \(0.439111\pi\)
\(572\) −10.7279 + 5.16631i −0.448558 + 0.216014i
\(573\) 8.35289 9.25159i 0.348947 0.386491i
\(574\) −31.9052 + 33.1661i −1.33170 + 1.38432i
\(575\) −0.100352 0.0800282i −0.00418498 0.00333741i
\(576\) −29.6261 13.2867i −1.23442 0.553612i
\(577\) −12.0713 + 4.73762i −0.502533 + 0.197230i −0.603047 0.797706i \(-0.706047\pi\)
0.100513 + 0.994936i \(0.467952\pi\)
\(578\) 13.8453 + 28.7501i 0.575890 + 1.19585i
\(579\) 43.2514 13.9885i 1.79747 0.581341i
\(580\) 35.9373 + 52.7104i 1.49222 + 2.18868i
\(581\) 20.6097 34.2559i 0.855036 1.42117i
\(582\) −44.5654 20.7195i −1.84730 0.858850i
\(583\) 24.8103 16.9154i 1.02754 0.700564i
\(584\) 26.8586 + 8.28477i 1.11142 + 0.342826i
\(585\) −3.88667 + 1.64880i −0.160694 + 0.0681695i
\(586\) 6.10029 40.4728i 0.252001 1.67192i
\(587\) −10.5278 18.2346i −0.434527 0.752624i 0.562730 0.826641i \(-0.309751\pi\)
−0.997257 + 0.0740175i \(0.976418\pi\)
\(588\) −27.2572 35.7993i −1.12407 1.47634i
\(589\) 12.3177 21.3350i 0.507544 0.879091i
\(590\) 53.7070 + 42.8299i 2.21108 + 1.76328i
\(591\) −23.9627 + 5.81343i −0.985696 + 0.239133i
\(592\) 2.96942 + 13.0099i 0.122043 + 0.534703i
\(593\) 0.231356 + 3.08723i 0.00950063 + 0.126777i 0.999937 0.0111904i \(-0.00356208\pi\)
−0.990437 + 0.137968i \(0.955943\pi\)
\(594\) −26.0314 59.1129i −1.06808 2.42543i
\(595\) −2.36220 11.2833i −0.0968408 0.462571i
\(596\) 71.4038 5.35097i 2.92481 0.219184i
\(597\) −11.2526 + 12.4633i −0.460538 + 0.510088i
\(598\) −0.519578 + 0.762081i −0.0212471 + 0.0311638i
\(599\) −4.34033 + 28.7962i −0.177341 + 1.17658i 0.706125 + 0.708087i \(0.250442\pi\)
−0.883466 + 0.468495i \(0.844796\pi\)
\(600\) 0.648170 + 1.30038i 0.0264614 + 0.0530878i
\(601\) −0.325004 + 2.15626i −0.0132572 + 0.0879557i −0.994481 0.104917i \(-0.966542\pi\)
0.981224 + 0.192873i \(0.0617804\pi\)
\(602\) −34.9505 14.4494i −1.42448 0.588914i
\(603\) 30.6681 + 19.7087i 1.24890 + 0.802602i
\(604\) 28.4210 + 19.3771i 1.15643 + 0.788444i
\(605\) 8.15099 35.7118i 0.331385 1.45189i
\(606\) 0.580202 + 3.52343i 0.0235691 + 0.143130i
\(607\) 21.1684i 0.859199i −0.903020 0.429600i \(-0.858655\pi\)
0.903020 0.429600i \(-0.141345\pi\)
\(608\) −9.84958 9.13908i −0.399453 0.370639i
\(609\) −32.1972 + 12.4725i −1.30470 + 0.505410i
\(610\) −0.414417 + 0.384522i −0.0167792 + 0.0155689i
\(611\) 1.05015 + 1.13179i 0.0424846 + 0.0457875i
\(612\) −18.8987 + 9.74320i −0.763934 + 0.393845i
\(613\) −37.7894 + 5.69583i −1.52630 + 0.230052i −0.857926 0.513774i \(-0.828247\pi\)
−0.668373 + 0.743826i \(0.733009\pi\)
\(614\) 13.8422 + 4.26976i 0.558626 + 0.172313i
\(615\) 10.8713 + 26.6286i 0.438374 + 1.07377i
\(616\) −54.0655 + 15.6154i −2.17836 + 0.629164i
\(617\) 3.57396 3.85181i 0.143882 0.155068i −0.656999 0.753891i \(-0.728174\pi\)
0.800881 + 0.598823i \(0.204365\pi\)
\(618\) 71.5925 11.7891i 2.87987 0.474227i
\(619\) 34.8212i 1.39958i 0.714348 + 0.699791i \(0.246723\pi\)
−0.714348 + 0.699791i \(0.753277\pi\)
\(620\) −27.0519 + 29.1550i −1.08643 + 1.17089i
\(621\) −2.62248 1.92168i −0.105237 0.0771143i
\(622\) 16.7906 13.3900i 0.673241 0.536892i
\(623\) −9.77713 + 16.2508i −0.391712 + 0.651073i
\(624\) 2.15726 1.28494i 0.0863595 0.0514388i
\(625\) 5.78190 25.3322i 0.231276 1.01329i
\(626\) 40.8303 + 6.15418i 1.63191 + 0.245970i
\(627\) −4.17160 47.0645i −0.166598 1.87957i
\(628\) −9.69347 64.3120i −0.386812 2.56633i
\(629\) −9.76999 4.70498i −0.389555 0.187600i
\(630\) −42.1008 + 10.0169i −1.67734 + 0.399082i
\(631\) −4.39900 + 2.11845i −0.175122 + 0.0843341i −0.519391 0.854537i \(-0.673841\pi\)
0.344269 + 0.938871i \(0.388127\pi\)
\(632\) −30.7661 45.1256i −1.22381 1.79500i
\(633\) −9.77211 23.9362i −0.388406 0.951377i
\(634\) 0.785733 + 10.4849i 0.0312054 + 0.416408i
\(635\) 15.9060 19.9455i 0.631210 0.791512i
\(636\) −28.6946 + 23.5289i −1.13782 + 0.932982i
\(637\) −4.31465 + 0.167263i −0.170953 + 0.00662721i
\(638\) 93.6607i 3.70806i
\(639\) −6.23509 + 5.25610i −0.246656 + 0.207928i
\(640\) 26.6562 + 39.0974i 1.05368 + 1.54546i
\(641\) 7.71548 1.76101i 0.304743 0.0695557i −0.0674148 0.997725i \(-0.521475\pi\)
0.372158 + 0.928169i \(0.378618\pi\)
\(642\) −7.25030 29.8855i −0.286146 1.17949i
\(643\) −31.9135 2.39159i −1.25855 0.0943150i −0.571301 0.820741i \(-0.693561\pi\)
−0.687245 + 0.726426i \(0.741180\pi\)
\(644\) −4.25913 + 4.42744i −0.167833 + 0.174466i
\(645\) −17.1065 + 16.3112i −0.673568 + 0.642253i
\(646\) −23.6686 + 3.56747i −0.931229 + 0.140360i
\(647\) 1.21356 16.1938i 0.0477099 0.636644i −0.921178 0.389142i \(-0.872771\pi\)
0.968887 0.247502i \(-0.0796096\pi\)
\(648\) 17.7482 + 32.2408i 0.697217 + 1.26654i
\(649\) 19.3165 + 62.6227i 0.758241 + 2.45816i
\(650\) 0.299026 + 0.0450710i 0.0117288 + 0.00176783i
\(651\) −12.0474 17.8392i −0.472173 0.699173i
\(652\) 23.7549 3.58048i 0.930315 0.140222i
\(653\) 4.47491 + 9.29224i 0.175117 + 0.363633i 0.969991 0.243140i \(-0.0781776\pi\)
−0.794874 + 0.606774i \(0.792463\pi\)
\(654\) 34.7382 52.4713i 1.35837 2.05179i
\(655\) −32.0287 −1.25146
\(656\) −8.55301 14.8142i −0.333939 0.578399i
\(657\) 12.0752 + 16.7151i 0.471096 + 0.652117i
\(658\) 8.67791 + 13.2346i 0.338300 + 0.515937i
\(659\) 17.9264 + 19.3201i 0.698313 + 0.752603i 0.978253 0.207415i \(-0.0665050\pi\)
−0.279940 + 0.960018i \(0.590314\pi\)
\(660\) −10.3417 + 75.5756i −0.402550 + 2.94177i
\(661\) −5.70382 2.23858i −0.221853 0.0870708i 0.251811 0.967776i \(-0.418974\pi\)
−0.473664 + 0.880706i \(0.657069\pi\)
\(662\) 38.5197 + 15.1179i 1.49711 + 0.587573i
\(663\) −0.276632 + 2.02158i −0.0107435 + 0.0785118i
\(664\) 42.0273 + 45.2946i 1.63097 + 1.75777i
\(665\) −31.5207 2.93438i −1.22232 0.113790i
\(666\) −16.6582 + 37.1437i −0.645491 + 1.43929i
\(667\) 2.35722 + 4.08282i 0.0912719 + 0.158088i
\(668\) −44.3615 −1.71640
\(669\) 10.7259 16.2013i 0.414688 0.626377i
\(670\) −28.7466 59.6929i −1.11058 2.30614i
\(671\) −0.533304 + 0.0803827i −0.0205880 + 0.00310314i
\(672\) −10.9478 + 4.24094i −0.422322 + 0.163598i
\(673\) −0.986767 0.148731i −0.0380371 0.00573317i 0.129996 0.991514i \(-0.458503\pi\)
−0.168033 + 0.985781i \(0.553742\pi\)
\(674\) 14.4019 + 46.6898i 0.554740 + 1.79842i
\(675\) −0.194593 + 1.04803i −0.00748990 + 0.0403388i
\(676\) −3.49980 + 46.7016i −0.134608 + 1.79621i
\(677\) −1.87861 + 0.283155i −0.0722008 + 0.0108825i −0.185043 0.982730i \(-0.559243\pi\)
0.112842 + 0.993613i \(0.464004\pi\)
\(678\) −2.39313 + 2.28187i −0.0919077 + 0.0876348i
\(679\) −29.4444 + 10.9478i −1.12997 + 0.420137i
\(680\) 17.7676 + 1.33150i 0.681355 + 0.0510605i
\(681\) 6.71635 + 27.6846i 0.257371 + 1.06087i
\(682\) −56.9269 + 12.9932i −2.17984 + 0.497535i
\(683\) 1.31320 + 1.92611i 0.0502481 + 0.0737004i 0.850541 0.525909i \(-0.176275\pi\)
−0.800293 + 0.599610i \(0.795322\pi\)
\(684\) 10.2700 + 57.4787i 0.392685 + 2.19775i
\(685\) 23.7090i 0.905875i
\(686\) −43.8926 5.68837i −1.67583 0.217183i
\(687\) 23.4881 19.2597i 0.896126 0.734802i
\(688\) 8.76475 10.9907i 0.334153 0.419015i
\(689\) 0.266115 + 3.55105i 0.0101382 + 0.135284i
\(690\) 2.23335 + 5.47046i 0.0850223 + 0.208257i
\(691\) 0.123176 + 0.180666i 0.00468583 + 0.00687285i 0.828575 0.559879i \(-0.189152\pi\)
−0.823889 + 0.566752i \(0.808200\pi\)
\(692\) 36.7505 17.6981i 1.39705 0.672782i
\(693\) −38.5685 14.7297i −1.46510 0.559536i
\(694\) −74.4097 35.8338i −2.82455 1.36023i
\(695\) −1.13911 7.55753i −0.0432091 0.286673i
\(696\) −4.71175 53.1585i −0.178599 2.01497i
\(697\) 13.7453 + 2.07177i 0.520640 + 0.0784739i
\(698\) −13.3362 + 58.4296i −0.504782 + 2.21159i
\(699\) 30.4833 18.1569i 1.15298 0.686758i
\(700\) 1.91372 + 0.628300i 0.0723319 + 0.0237475i
\(701\) −31.4744 + 25.1000i −1.18877 + 0.948015i −0.999425 0.0338947i \(-0.989209\pi\)
−0.189348 + 0.981910i \(0.560637\pi\)
\(702\) 7.61451 + 0.831622i 0.287391 + 0.0313875i
\(703\) −20.2545 + 21.8292i −0.763914 + 0.823303i
\(704\) 56.2959i 2.12173i
\(705\) 9.75947 1.60709i 0.367563 0.0605264i
\(706\) 53.3847 57.5351i 2.00916 2.16536i
\(707\) 1.86238 + 1.31954i 0.0700418 + 0.0496264i
\(708\) −30.6102 74.9776i −1.15040 2.81783i
\(709\) −26.0877 8.04700i −0.979745 0.302211i −0.236796 0.971559i \(-0.576097\pi\)
−0.742949 + 0.669348i \(0.766573\pi\)
\(710\) 14.6554 2.20895i 0.550008 0.0829004i
\(711\) 1.90610 40.0225i 0.0714842 1.50096i
\(712\) −19.9375 21.4875i −0.747189 0.805278i
\(713\) −2.15453 + 1.99911i −0.0806877 + 0.0748673i
\(714\) −6.25309 + 19.9583i −0.234016 + 0.746920i
\(715\) 5.36602 + 4.97894i 0.200678 + 0.186202i
\(716\) 17.9270i 0.669962i
\(717\) 7.56977 + 45.9695i 0.282698 + 1.71676i
\(718\) 6.19515 27.1427i 0.231201 1.01296i
\(719\) −19.2131 13.0992i −0.716526 0.488519i 0.149346 0.988785i \(-0.452283\pi\)
−0.865872 + 0.500266i \(0.833236\pi\)
\(720\) 0.765223 16.0675i 0.0285182 0.598800i
\(721\) 26.8117 37.8415i 0.998520 1.40929i
\(722\) −3.02924 + 20.0977i −0.112737 + 0.747959i
\(723\) −13.1999 26.4820i −0.490909 0.984878i
\(724\) 7.06646 46.8829i 0.262623 1.74239i
\(725\) 0.870717 1.27711i 0.0323376 0.0474306i
\(726\) −44.5357 + 49.3273i −1.65287 + 1.83071i
\(727\) 41.2189 3.08893i 1.52872 0.114562i 0.716368 0.697723i \(-0.245803\pi\)
0.812357 + 0.583161i \(0.198184\pi\)
\(728\) 1.60207 6.47852i 0.0593767 0.240110i
\(729\) −3.84167 + 26.7253i −0.142284 + 0.989826i
\(730\) −2.80059 37.3713i −0.103654 1.38317i
\(731\) 2.54194 + 11.1369i 0.0940169 + 0.411915i
\(732\) 0.647699 0.157134i 0.0239396 0.00580782i
\(733\) 24.3282 + 19.4011i 0.898582 + 0.716596i 0.959548 0.281544i \(-0.0908466\pi\)
−0.0609658 + 0.998140i \(0.519418\pi\)
\(734\) 2.54423 4.40673i 0.0939092 0.162655i
\(735\) −14.3649 + 23.6390i −0.529859 + 0.871939i
\(736\) 0.801512 + 1.38826i 0.0295441 + 0.0511719i
\(737\) 9.42048 62.5008i 0.347008 2.30225i
\(738\) 6.37070 51.7926i 0.234509 1.90651i
\(739\) −7.05135 2.17505i −0.259388 0.0800107i 0.162334 0.986736i \(-0.448098\pi\)
−0.421722 + 0.906725i \(0.638574\pi\)
\(740\) 39.7215 27.0817i 1.46019 0.995542i
\(741\) 5.08095 + 2.36225i 0.186653 + 0.0867793i
\(742\) −3.38342 + 36.3442i −0.124209 + 1.33424i
\(743\) −6.55394 9.61286i −0.240441 0.352662i 0.686983 0.726673i \(-0.258934\pi\)
−0.927424 + 0.374011i \(0.877982\pi\)
\(744\) 31.6560 10.2383i 1.16057 0.375353i
\(745\) −19.0995 39.6605i −0.699751 1.45305i
\(746\) 10.4267 4.09219i 0.381750 0.149826i
\(747\) 4.61616 + 45.0949i 0.168896 + 1.64994i
\(748\) 28.8225 + 22.9852i 1.05386 + 0.840422i
\(749\) −16.8431 10.1335i −0.615434 0.370270i
\(750\) −30.3443 + 33.6091i −1.10802 + 1.22723i
\(751\) −33.4464 + 16.1070i −1.22048 + 0.587751i −0.929444 0.368962i \(-0.879713\pi\)
−0.291033 + 0.956713i \(0.593999\pi\)
\(752\) −5.62115 + 1.73390i −0.204982 + 0.0632287i
\(753\) 6.11868 + 7.46202i 0.222977 + 0.271931i
\(754\) −9.61910 5.55359i −0.350307 0.202250i
\(755\) 4.70561 20.6166i 0.171255 0.750315i
\(756\) 49.0829 + 13.9234i 1.78513 + 0.506390i
\(757\) −8.45735 37.0541i −0.307388 1.34675i −0.858711 0.512461i \(-0.828734\pi\)
0.551323 0.834292i \(-0.314123\pi\)
\(758\) −6.12769 + 19.8655i −0.222568 + 0.721547i
\(759\) −1.17947 + 5.51224i −0.0428121 + 0.200082i
\(760\) 17.8756 45.5463i 0.648417 1.65214i
\(761\) 1.57060 + 6.88123i 0.0569340 + 0.249444i 0.995384 0.0959704i \(-0.0305954\pi\)
−0.938450 + 0.345415i \(0.887738\pi\)
\(762\) −42.8511 + 17.4943i −1.55233 + 0.633750i
\(763\) −8.24214 39.3694i −0.298385 1.42527i
\(764\) 26.0370 + 5.94277i 0.941985 + 0.215002i
\(765\) 9.82039 + 8.62685i 0.355057 + 0.311904i
\(766\) 12.7114 + 7.33895i 0.459283 + 0.265167i
\(767\) −7.57682 1.72936i −0.273583 0.0624436i
\(768\) −4.26964 48.1705i −0.154067 1.73820i
\(769\) −3.33141 22.1024i −0.120134 0.797034i −0.965037 0.262115i \(-0.915580\pi\)
0.844903 0.534919i \(-0.179658\pi\)
\(770\) 45.7174 + 59.4971i 1.64754 + 2.14413i
\(771\) 12.9181 0.175763i