Properties

Label 441.2.z.a.331.3
Level $441$
Weight $2$
Character 441.331
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 331.3
Character \(\chi\) \(=\) 441.331
Dual form 441.2.z.a.4.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.192530 - 2.56913i) q^{2} +(1.55341 + 0.766101i) q^{3} +(-4.58569 + 0.691182i) q^{4} +(-0.144697 - 0.633958i) q^{5} +(1.66913 - 4.13841i) q^{6} +(-1.19412 - 2.36095i) q^{7} +(1.51204 + 6.62468i) q^{8} +(1.82618 + 2.38014i) q^{9} +O(q^{10})\) \(q+(-0.192530 - 2.56913i) q^{2} +(1.55341 + 0.766101i) q^{3} +(-4.58569 + 0.691182i) q^{4} +(-0.144697 - 0.633958i) q^{5} +(1.66913 - 4.13841i) q^{6} +(-1.19412 - 2.36095i) q^{7} +(1.51204 + 6.62468i) q^{8} +(1.82618 + 2.38014i) q^{9} +(-1.60086 + 0.493800i) q^{10} +(-4.29136 - 2.06661i) q^{11} +(-7.65298 - 2.43941i) q^{12} +(-0.292340 - 3.90101i) q^{13} +(-5.83567 + 3.52241i) q^{14} +(0.260902 - 1.09565i) q^{15} +(7.86562 - 2.42622i) q^{16} +(-3.53970 - 0.533524i) q^{17} +(5.76329 - 5.14994i) q^{18} +(2.69554 - 4.66882i) q^{19} +(1.10171 + 2.80712i) q^{20} +(-0.0462435 - 4.58234i) q^{21} +(-4.48317 + 11.4229i) q^{22} +(-1.13581 - 1.42426i) q^{23} +(-2.72635 + 11.4492i) q^{24} +(4.12388 - 1.98596i) q^{25} +(-9.96590 + 1.50212i) q^{26} +(1.01338 + 5.09638i) q^{27} +(7.10773 + 10.0012i) q^{28} +(1.52934 + 3.89670i) q^{29} +(-2.86510 - 0.459345i) q^{30} +(-1.48968 + 2.58020i) q^{31} +(-2.78263 - 7.09002i) q^{32} +(-5.08302 - 6.49791i) q^{33} +(-0.689195 + 9.19667i) q^{34} +(-1.32395 + 1.09864i) q^{35} +(-10.0194 - 9.65237i) q^{36} +(-2.55648 - 6.51381i) q^{37} +(-12.5138 - 6.02631i) q^{38} +(2.53444 - 6.28383i) q^{39} +(3.98098 - 1.91714i) q^{40} +(3.97206 - 3.68553i) q^{41} +(-11.7637 + 1.00104i) q^{42} +(9.26906 + 8.60043i) q^{43} +(21.1073 + 6.51072i) q^{44} +(1.24467 - 1.50212i) q^{45} +(-3.44044 + 3.19226i) q^{46} +(0.530961 + 7.08519i) q^{47} +(14.0773 + 2.25694i) q^{48} +(-4.14814 + 5.63852i) q^{49} +(-5.89614 - 10.2124i) q^{50} +(-5.08988 - 3.54055i) q^{51} +(4.03689 + 17.6867i) q^{52} +(3.33328 - 8.49307i) q^{53} +(12.8981 - 3.58471i) q^{54} +(-0.689197 + 3.01957i) q^{55} +(13.8349 - 11.4805i) q^{56} +(7.76407 - 5.18754i) q^{57} +(9.71669 - 4.67931i) q^{58} +(2.85438 + 2.64848i) q^{59} +(-0.439122 + 5.20464i) q^{60} +(7.83228 + 1.18053i) q^{61} +(6.91568 + 3.33042i) q^{62} +(3.43870 - 7.15369i) q^{63} +(-2.84710 + 1.37109i) q^{64} +(-2.43077 + 0.749794i) q^{65} +(-15.7153 + 14.3100i) q^{66} +(0.717064 - 1.24199i) q^{67} +16.6007 q^{68} +(-0.673255 - 3.08261i) q^{69} +(3.07746 + 3.18989i) q^{70} +(-5.33059 - 6.68435i) q^{71} +(-13.0064 + 15.6967i) q^{72} +(4.76734 + 3.25032i) q^{73} +(-16.2426 + 7.82203i) q^{74} +(7.92753 + 0.0742997i) q^{75} +(-9.13393 + 23.2729i) q^{76} +(0.245260 + 12.5995i) q^{77} +(-16.6319 - 5.30148i) q^{78} +(-2.16694 - 3.75324i) q^{79} +(-2.67625 - 4.63540i) q^{80} +(-2.33014 + 8.69313i) q^{81} +(-10.2333 - 9.49515i) q^{82} +(-0.164534 + 2.19555i) q^{83} +(3.37929 + 20.9812i) q^{84} +(0.173951 + 2.32122i) q^{85} +(20.3110 - 25.4693i) q^{86} +(-0.609567 + 7.22482i) q^{87} +(7.20192 - 31.5537i) q^{88} +(-0.498638 + 6.65386i) q^{89} +(-4.09877 - 2.90850i) q^{90} +(-8.86098 + 5.34848i) q^{91} +(6.19290 + 5.74618i) q^{92} +(-4.29079 + 2.86687i) q^{93} +(18.1005 - 2.72822i) q^{94} +(-3.34987 - 1.03330i) q^{95} +(1.10910 - 13.1455i) q^{96} +(8.43105 - 14.6030i) q^{97} +(15.2847 + 9.57151i) q^{98} +(-2.91797 - 13.9880i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.192530 2.56913i −0.136139 1.81665i −0.479607 0.877484i \(-0.659221\pi\)
0.343468 0.939164i \(-0.388398\pi\)
\(3\) 1.55341 + 0.766101i 0.896863 + 0.442309i
\(4\) −4.58569 + 0.691182i −2.29285 + 0.345591i
\(5\) −0.144697 0.633958i −0.0647103 0.283514i 0.932212 0.361913i \(-0.117876\pi\)
−0.996922 + 0.0783989i \(0.975019\pi\)
\(6\) 1.66913 4.13841i 0.681421 1.68950i
\(7\) −1.19412 2.36095i −0.451336 0.892354i
\(8\) 1.51204 + 6.62468i 0.534587 + 2.34218i
\(9\) 1.82618 + 2.38014i 0.608726 + 0.793380i
\(10\) −1.60086 + 0.493800i −0.506236 + 0.156153i
\(11\) −4.29136 2.06661i −1.29389 0.623106i −0.344970 0.938614i \(-0.612111\pi\)
−0.948923 + 0.315507i \(0.897825\pi\)
\(12\) −7.65298 2.43941i −2.20923 0.704197i
\(13\) −0.292340 3.90101i −0.0810805 1.08194i −0.878254 0.478194i \(-0.841291\pi\)
0.797174 0.603750i \(-0.206328\pi\)
\(14\) −5.83567 + 3.52241i −1.55965 + 0.941403i
\(15\) 0.260902 1.09565i 0.0673646 0.282896i
\(16\) 7.86562 2.42622i 1.96641 0.606556i
\(17\) −3.53970 0.533524i −0.858504 0.129399i −0.294985 0.955502i \(-0.595315\pi\)
−0.563519 + 0.826103i \(0.690553\pi\)
\(18\) 5.76329 5.14994i 1.35842 1.21385i
\(19\) 2.69554 4.66882i 0.618400 1.07110i −0.371378 0.928482i \(-0.621115\pi\)
0.989778 0.142618i \(-0.0455522\pi\)
\(20\) 1.10171 + 2.80712i 0.246351 + 0.627691i
\(21\) −0.0462435 4.58234i −0.0100912 0.999949i
\(22\) −4.48317 + 11.4229i −0.955816 + 2.43538i
\(23\) −1.13581 1.42426i −0.236833 0.296979i 0.649184 0.760631i \(-0.275110\pi\)
−0.886018 + 0.463652i \(0.846539\pi\)
\(24\) −2.72635 + 11.4492i −0.556514 + 2.33706i
\(25\) 4.12388 1.98596i 0.824776 0.397191i
\(26\) −9.96590 + 1.50212i −1.95447 + 0.294590i
\(27\) 1.01338 + 5.09638i 0.195025 + 0.980798i
\(28\) 7.10773 + 10.0012i 1.34323 + 1.89005i
\(29\) 1.52934 + 3.89670i 0.283992 + 0.723600i 0.999683 + 0.0251825i \(0.00801668\pi\)
−0.715691 + 0.698417i \(0.753888\pi\)
\(30\) −2.86510 0.459345i −0.523092 0.0838646i
\(31\) −1.48968 + 2.58020i −0.267555 + 0.463418i −0.968230 0.250062i \(-0.919549\pi\)
0.700675 + 0.713480i \(0.252882\pi\)
\(32\) −2.78263 7.09002i −0.491904 1.25335i
\(33\) −5.08302 6.49791i −0.884840 1.13114i
\(34\) −0.689195 + 9.19667i −0.118196 + 1.57722i
\(35\) −1.32395 + 1.09864i −0.223789 + 0.185705i
\(36\) −10.0194 9.65237i −1.66990 1.60873i
\(37\) −2.55648 6.51381i −0.420283 1.07086i −0.971613 0.236576i \(-0.923975\pi\)
0.551330 0.834287i \(-0.314121\pi\)
\(38\) −12.5138 6.02631i −2.03000 0.977597i
\(39\) 2.53444 6.28383i 0.405835 1.00622i
\(40\) 3.98098 1.91714i 0.629448 0.303126i
\(41\) 3.97206 3.68553i 0.620331 0.575583i −0.306123 0.951992i \(-0.599032\pi\)
0.926454 + 0.376409i \(0.122841\pi\)
\(42\) −11.7637 + 1.00104i −1.81518 + 0.154464i
\(43\) 9.26906 + 8.60043i 1.41352 + 1.31155i 0.887291 + 0.461211i \(0.152585\pi\)
0.526228 + 0.850343i \(0.323606\pi\)
\(44\) 21.1073 + 6.51072i 3.18204 + 0.981529i
\(45\) 1.24467 1.50212i 0.185544 0.223923i
\(46\) −3.44044 + 3.19226i −0.507265 + 0.470673i
\(47\) 0.530961 + 7.08519i 0.0774487 + 1.03348i 0.891599 + 0.452826i \(0.149584\pi\)
−0.814150 + 0.580655i \(0.802797\pi\)
\(48\) 14.0773 + 2.25694i 2.03188 + 0.325761i
\(49\) −4.14814 + 5.63852i −0.592591 + 0.805504i
\(50\) −5.89614 10.2124i −0.833841 1.44425i
\(51\) −5.08988 3.54055i −0.712726 0.495776i
\(52\) 4.03689 + 17.6867i 0.559815 + 2.45271i
\(53\) 3.33328 8.49307i 0.457862 1.16661i −0.496521 0.868025i \(-0.665389\pi\)
0.954382 0.298587i \(-0.0965155\pi\)
\(54\) 12.8981 3.58471i 1.75521 0.487817i
\(55\) −0.689197 + 3.01957i −0.0929314 + 0.407159i
\(56\) 13.8349 11.4805i 1.84877 1.53415i
\(57\) 7.76407 5.18754i 1.02838 0.687107i
\(58\) 9.71669 4.67931i 1.27586 0.614423i
\(59\) 2.85438 + 2.64848i 0.371609 + 0.344803i 0.843766 0.536712i \(-0.180334\pi\)
−0.472156 + 0.881515i \(0.656524\pi\)
\(60\) −0.439122 + 5.20464i −0.0566904 + 0.671916i
\(61\) 7.83228 + 1.18053i 1.00282 + 0.151151i 0.629870 0.776701i \(-0.283108\pi\)
0.372950 + 0.927851i \(0.378346\pi\)
\(62\) 6.91568 + 3.33042i 0.878292 + 0.422963i
\(63\) 3.43870 7.15369i 0.433236 0.901281i
\(64\) −2.84710 + 1.37109i −0.355888 + 0.171387i
\(65\) −2.43077 + 0.749794i −0.301500 + 0.0930005i
\(66\) −15.7153 + 14.3100i −1.93442 + 1.76144i
\(67\) 0.717064 1.24199i 0.0876033 0.151733i −0.818894 0.573944i \(-0.805413\pi\)
0.906498 + 0.422211i \(0.138746\pi\)
\(68\) 16.6007 2.01314
\(69\) −0.673255 3.08261i −0.0810503 0.371103i
\(70\) 3.07746 + 3.18989i 0.367827 + 0.381264i
\(71\) −5.33059 6.68435i −0.632625 0.793287i 0.357434 0.933938i \(-0.383652\pi\)
−0.990059 + 0.140651i \(0.955080\pi\)
\(72\) −13.0064 + 15.6967i −1.53282 + 1.84988i
\(73\) 4.76734 + 3.25032i 0.557975 + 0.380421i 0.809223 0.587502i \(-0.199888\pi\)
−0.251248 + 0.967923i \(0.580841\pi\)
\(74\) −16.2426 + 7.82203i −1.88817 + 0.909292i
\(75\) 7.92753 + 0.0742997i 0.915392 + 0.00857939i
\(76\) −9.13393 + 23.2729i −1.04773 + 2.66958i
\(77\) 0.245260 + 12.5995i 0.0279499 + 1.43584i
\(78\) −16.6319 5.30148i −1.88319 0.600274i
\(79\) −2.16694 3.75324i −0.243799 0.422273i 0.717994 0.696049i \(-0.245060\pi\)
−0.961793 + 0.273776i \(0.911727\pi\)
\(80\) −2.67625 4.63540i −0.299214 0.518254i
\(81\) −2.33014 + 8.69313i −0.258905 + 0.965903i
\(82\) −10.2333 9.49515i −1.13008 1.04856i
\(83\) −0.164534 + 2.19555i −0.0180599 + 0.240993i 0.980867 + 0.194679i \(0.0623666\pi\)
−0.998927 + 0.0463141i \(0.985252\pi\)
\(84\) 3.37929 + 20.9812i 0.368711 + 2.28924i
\(85\) 0.173951 + 2.32122i 0.0188677 + 0.251772i
\(86\) 20.3110 25.4693i 2.19020 2.74642i
\(87\) −0.609567 + 7.22482i −0.0653524 + 0.774582i
\(88\) 7.20192 31.5537i 0.767727 3.36363i
\(89\) −0.498638 + 6.65386i −0.0528555 + 0.705307i 0.906337 + 0.422555i \(0.138867\pi\)
−0.959193 + 0.282753i \(0.908752\pi\)
\(90\) −4.09877 2.90850i −0.432048 0.306583i
\(91\) −8.86098 + 5.34848i −0.928883 + 0.560673i
\(92\) 6.19290 + 5.74618i 0.645655 + 0.599080i
\(93\) −4.29079 + 2.86687i −0.444934 + 0.297281i
\(94\) 18.1005 2.72822i 1.86693 0.281394i
\(95\) −3.34987 1.03330i −0.343689 0.106014i
\(96\) 1.10910 13.1455i 0.113197 1.34166i
\(97\) 8.43105 14.6030i 0.856043 1.48271i −0.0196309 0.999807i \(-0.506249\pi\)
0.875674 0.482903i \(-0.160418\pi\)
\(98\) 15.2847 + 9.57151i 1.54399 + 0.966869i
\(99\) −2.91797 13.9880i −0.293267 1.40585i
\(100\) −17.5382 + 11.9573i −1.75382 + 1.19573i
\(101\) −2.07854 9.10668i −0.206822 0.906148i −0.966666 0.256042i \(-0.917581\pi\)
0.759843 0.650106i \(-0.225276\pi\)
\(102\) −8.11618 + 13.7582i −0.803621 + 1.36227i
\(103\) −2.33735 10.2406i −0.230306 1.00903i −0.949387 0.314109i \(-0.898294\pi\)
0.719081 0.694926i \(-0.244563\pi\)
\(104\) 25.4009 7.83514i 2.49076 0.768298i
\(105\) −2.89832 + 0.692366i −0.282847 + 0.0675680i
\(106\) −22.4615 6.92847i −2.18166 0.672952i
\(107\) 0.214273 2.85928i 0.0207146 0.276417i −0.977222 0.212217i \(-0.931931\pi\)
0.997937 0.0641997i \(-0.0204495\pi\)
\(108\) −8.16957 22.6700i −0.786118 2.18142i
\(109\) 0.888813 + 11.8604i 0.0851329 + 1.13602i 0.862189 + 0.506588i \(0.169093\pi\)
−0.777056 + 0.629432i \(0.783288\pi\)
\(110\) 7.89036 + 1.18928i 0.752316 + 0.113393i
\(111\) 1.01896 12.0772i 0.0967159 1.14631i
\(112\) −15.1207 15.6731i −1.42877 1.48097i
\(113\) −10.2234 6.97018i −0.961734 0.655699i −0.0227793 0.999741i \(-0.507252\pi\)
−0.938954 + 0.344042i \(0.888204\pi\)
\(114\) −14.8223 18.9481i −1.38823 1.77466i
\(115\) −0.738574 + 0.926142i −0.0688724 + 0.0863632i
\(116\) −9.70642 16.8120i −0.901219 1.56096i
\(117\) 8.75108 7.81975i 0.809038 0.722936i
\(118\) 6.25473 7.84319i 0.575795 0.722024i
\(119\) 2.96722 + 8.99414i 0.272005 + 0.824491i
\(120\) 7.65282 + 0.0717251i 0.698604 + 0.00654757i
\(121\) 7.28650 + 9.13699i 0.662409 + 0.830635i
\(122\) 1.52498 20.3494i 0.138065 1.84235i
\(123\) 8.99373 2.68215i 0.810937 0.241841i
\(124\) 5.04783 12.8617i 0.453308 1.15501i
\(125\) −3.88288 4.86898i −0.347295 0.435494i
\(126\) −19.0408 7.45717i −1.69629 0.664337i
\(127\) 10.0685 12.6255i 0.893433 1.12033i −0.0986975 0.995117i \(-0.531468\pi\)
0.992130 0.125212i \(-0.0399610\pi\)
\(128\) −3.54585 6.14160i −0.313412 0.542846i
\(129\) 7.80988 + 20.4611i 0.687621 + 1.80150i
\(130\) 2.39431 + 6.10061i 0.209995 + 0.535059i
\(131\) −3.27259 + 14.3381i −0.285927 + 1.25273i 0.604132 + 0.796884i \(0.293520\pi\)
−0.890059 + 0.455845i \(0.849337\pi\)
\(132\) 27.8004 + 26.2841i 2.41971 + 2.28774i
\(133\) −14.2416 0.788887i −1.23491 0.0684051i
\(134\) −3.32889 1.60311i −0.287572 0.138488i
\(135\) 3.08425 1.37987i 0.265450 0.118760i
\(136\) −1.81774 24.2561i −0.155870 2.07994i
\(137\) 0.926250 4.05816i 0.0791348 0.346712i −0.919824 0.392331i \(-0.871669\pi\)
0.998959 + 0.0456187i \(0.0145259\pi\)
\(138\) −7.79001 + 2.32317i −0.663129 + 0.197761i
\(139\) −12.9678 + 12.0323i −1.09991 + 1.02057i −0.100241 + 0.994963i \(0.531961\pi\)
−0.999672 + 0.0256065i \(0.991848\pi\)
\(140\) 5.31188 5.95314i 0.448936 0.503132i
\(141\) −4.60317 + 11.4130i −0.387657 + 0.961147i
\(142\) −16.1467 + 14.9819i −1.35500 + 1.25725i
\(143\) −6.80732 + 17.3448i −0.569257 + 1.45044i
\(144\) 20.1388 + 14.2906i 1.67823 + 1.19088i
\(145\) 2.24905 1.53338i 0.186774 0.127340i
\(146\) 7.43263 12.8737i 0.615129 1.06543i
\(147\) −10.7634 + 5.58106i −0.887754 + 0.460318i
\(148\) 16.2255 + 28.1033i 1.33372 + 2.31008i
\(149\) 8.65432 + 4.16770i 0.708990 + 0.341431i 0.753382 0.657583i \(-0.228421\pi\)
−0.0443927 + 0.999014i \(0.514135\pi\)
\(150\) −1.33540 20.3811i −0.109035 1.66411i
\(151\) −9.00063 11.2864i −0.732461 0.918476i 0.266510 0.963832i \(-0.414129\pi\)
−0.998971 + 0.0453556i \(0.985558\pi\)
\(152\) 35.0052 + 10.7977i 2.83930 + 0.875807i
\(153\) −5.19427 9.39930i −0.419931 0.759888i
\(154\) 32.3224 3.05587i 2.60461 0.246249i
\(155\) 1.85129 + 0.571048i 0.148699 + 0.0458677i
\(156\) −7.27889 + 30.5675i −0.582777 + 2.44736i
\(157\) −0.996758 0.924856i −0.0795500 0.0738116i 0.639396 0.768878i \(-0.279185\pi\)
−0.718946 + 0.695066i \(0.755375\pi\)
\(158\) −9.22536 + 6.28975i −0.733930 + 0.500385i
\(159\) 11.6845 10.6396i 0.926642 0.843775i
\(160\) −4.09213 + 2.78997i −0.323512 + 0.220566i
\(161\) −2.00631 + 4.38234i −0.158119 + 0.345376i
\(162\) 22.7824 + 4.31275i 1.78995 + 0.338841i
\(163\) 10.3825 + 9.63358i 0.813223 + 0.754560i 0.972557 0.232664i \(-0.0747443\pi\)
−0.159334 + 0.987225i \(0.550935\pi\)
\(164\) −15.6673 + 19.6461i −1.22341 + 1.53410i
\(165\) −3.38390 + 4.16264i −0.263437 + 0.324061i
\(166\) 5.67234 0.440259
\(167\) −5.43277 0.818858i −0.420400 0.0633652i −0.0645643 0.997914i \(-0.520566\pi\)
−0.355836 + 0.934548i \(0.615804\pi\)
\(168\) 30.2866 7.23503i 2.33666 0.558195i
\(169\) −2.27759 + 0.343291i −0.175199 + 0.0264070i
\(170\) 5.93002 0.893807i 0.454812 0.0685518i
\(171\) 16.0350 2.11032i 1.22623 0.161381i
\(172\) −48.4495 33.0323i −3.69424 2.51869i
\(173\) −7.21598 + 18.3860i −0.548620 + 1.39786i 0.340524 + 0.940236i \(0.389395\pi\)
−0.889145 + 0.457626i \(0.848700\pi\)
\(174\) 18.6788 + 0.175065i 1.41604 + 0.0132716i
\(175\) −9.61316 7.36478i −0.726686 0.556725i
\(176\) −38.7683 5.84338i −2.92227 0.440461i
\(177\) 2.40503 + 6.30093i 0.180773 + 0.473607i
\(178\) 17.1906 1.28849
\(179\) −18.2198 2.74619i −1.36181 0.205260i −0.572827 0.819676i \(-0.694153\pi\)
−0.788982 + 0.614417i \(0.789391\pi\)
\(180\) −4.66942 + 7.74854i −0.348038 + 0.577542i
\(181\) 15.5157 7.47195i 1.15327 0.555385i 0.243255 0.969962i \(-0.421785\pi\)
0.910014 + 0.414577i \(0.136070\pi\)
\(182\) 15.4469 + 21.7352i 1.14500 + 1.61112i
\(183\) 11.2624 + 7.83416i 0.832537 + 0.579117i
\(184\) 7.71789 9.67793i 0.568970 0.713466i
\(185\) −3.75956 + 2.56323i −0.276409 + 0.188452i
\(186\) 8.19147 + 10.4716i 0.600628 + 0.767816i
\(187\) 14.0875 + 9.60472i 1.03018 + 0.702367i
\(188\) −7.33198 32.1235i −0.534739 2.34285i
\(189\) 10.8222 8.47824i 0.787197 0.616701i
\(190\) −2.00973 + 8.80518i −0.145801 + 0.638795i
\(191\) −4.80741 + 4.46063i −0.347852 + 0.322760i −0.834677 0.550740i \(-0.814346\pi\)
0.486825 + 0.873500i \(0.338155\pi\)
\(192\) −5.47312 0.0512962i −0.394989 0.00370198i
\(193\) 2.70268 + 0.833665i 0.194543 + 0.0600085i 0.390496 0.920605i \(-0.372304\pi\)
−0.195953 + 0.980613i \(0.562780\pi\)
\(194\) −39.1402 18.8489i −2.81010 1.35327i
\(195\) −4.35041 0.697477i −0.311539 0.0499474i
\(196\) 15.1248 28.7236i 1.08034 2.05169i
\(197\) 22.5704 1.60808 0.804039 0.594577i \(-0.202680\pi\)
0.804039 + 0.594577i \(0.202680\pi\)
\(198\) −35.3753 + 10.1897i −2.51401 + 0.724154i
\(199\) 0.178378 0.165510i 0.0126449 0.0117327i −0.673825 0.738891i \(-0.735350\pi\)
0.686470 + 0.727158i \(0.259159\pi\)
\(200\) 19.3918 + 24.3165i 1.37121 + 1.71944i
\(201\) 2.06539 1.37998i 0.145681 0.0973364i
\(202\) −22.9960 + 7.09334i −1.61800 + 0.499086i
\(203\) 7.37368 8.26384i 0.517531 0.580008i
\(204\) 25.7878 + 12.7178i 1.80551 + 0.890427i
\(205\) −2.91121 1.98483i −0.203328 0.138627i
\(206\) −25.8594 + 7.97656i −1.80171 + 0.555753i
\(207\) 1.31575 5.30435i 0.0914510 0.368678i
\(208\) −11.7641 29.9746i −0.815697 2.07836i
\(209\) −21.2162 + 14.4649i −1.46755 + 1.00056i
\(210\) 2.33679 + 7.31285i 0.161254 + 0.504635i
\(211\) −15.7923 10.7670i −1.08719 0.741233i −0.119363 0.992851i \(-0.538085\pi\)
−0.967827 + 0.251617i \(0.919038\pi\)
\(212\) −9.41515 + 41.2505i −0.646635 + 2.83309i
\(213\) −3.15972 14.4673i −0.216501 0.991285i
\(214\) −7.38711 −0.504973
\(215\) 4.11111 7.12065i 0.280375 0.485624i
\(216\) −32.2296 + 14.4192i −2.19295 + 0.981106i
\(217\) 7.87059 + 0.435975i 0.534290 + 0.0295959i
\(218\) 30.2997 4.56695i 2.05216 0.309313i
\(219\) 4.91558 + 8.70135i 0.332164 + 0.587983i
\(220\) 1.07337 14.3232i 0.0723669 0.965669i
\(221\) −1.04648 + 13.9644i −0.0703942 + 0.939345i
\(222\) −31.2239 0.292642i −2.09561 0.0196409i
\(223\) −7.89215 + 1.18955i −0.528497 + 0.0796581i −0.407870 0.913040i \(-0.633729\pi\)
−0.120627 + 0.992698i \(0.538490\pi\)
\(224\) −13.4164 + 15.0360i −0.896418 + 1.00463i
\(225\) 12.2578 + 6.18870i 0.817186 + 0.412580i
\(226\) −15.9390 + 27.6071i −1.06024 + 1.83640i
\(227\) 22.2521 1.47692 0.738462 0.674295i \(-0.235552\pi\)
0.738462 + 0.674295i \(0.235552\pi\)
\(228\) −32.0181 + 29.1548i −2.12045 + 1.93083i
\(229\) −0.523095 + 2.29183i −0.0345671 + 0.151448i −0.989266 0.146125i \(-0.953320\pi\)
0.954699 + 0.297573i \(0.0961771\pi\)
\(230\) 2.52158 + 1.71918i 0.166268 + 0.113359i
\(231\) −9.27147 + 19.7600i −0.610018 + 1.30012i
\(232\) −23.5020 + 16.0234i −1.54298 + 1.05199i
\(233\) 1.67994 + 4.28043i 0.110057 + 0.280420i 0.975282 0.220963i \(-0.0709200\pi\)
−0.865225 + 0.501383i \(0.832825\pi\)
\(234\) −21.7748 20.9771i −1.42346 1.37132i
\(235\) 4.41488 1.36181i 0.287995 0.0888347i
\(236\) −14.9199 10.1722i −0.971203 0.662155i
\(237\) −0.490782 7.49042i −0.0318797 0.486555i
\(238\) 22.5358 9.35481i 1.46078 0.606382i
\(239\) 18.5874 5.73345i 1.20232 0.370866i 0.372041 0.928216i \(-0.378658\pi\)
0.830277 + 0.557350i \(0.188182\pi\)
\(240\) −0.606135 9.25097i −0.0391259 0.597148i
\(241\) 17.9170 + 22.4672i 1.15413 + 1.44724i 0.873100 + 0.487541i \(0.162106\pi\)
0.281035 + 0.959698i \(0.409322\pi\)
\(242\) 22.0712 20.4791i 1.41879 1.31645i
\(243\) −10.2795 + 11.7189i −0.659429 + 0.751767i
\(244\) −36.7324 −2.35155
\(245\) 4.17481 + 1.81387i 0.266719 + 0.115884i
\(246\) −8.62235 22.5896i −0.549741 1.44026i
\(247\) −19.0011 9.15045i −1.20901 0.582229i
\(248\) −19.3455 5.96729i −1.22844 0.378923i
\(249\) −1.93760 + 3.28455i −0.122791 + 0.208150i
\(250\) −11.7615 + 10.9130i −0.743860 + 0.690201i
\(251\) −1.18540 + 5.19358i −0.0748218 + 0.327816i −0.998462 0.0554457i \(-0.982342\pi\)
0.923640 + 0.383261i \(0.125199\pi\)
\(252\) −10.8243 + 35.1814i −0.681868 + 2.21622i
\(253\) 1.93078 + 8.45930i 0.121387 + 0.531832i
\(254\) −34.3749 23.4364i −2.15687 1.47053i
\(255\) −1.50807 + 3.73907i −0.0944390 + 0.234150i
\(256\) −20.3178 + 13.8524i −1.26986 + 0.865777i
\(257\) 4.76465 5.97469i 0.297211 0.372691i −0.610694 0.791867i \(-0.709110\pi\)
0.907905 + 0.419176i \(0.137681\pi\)
\(258\) 51.0634 24.0039i 3.17907 1.49442i
\(259\) −12.3260 + 13.8140i −0.765900 + 0.858361i
\(260\) 10.6285 5.11843i 0.659153 0.317431i
\(261\) −6.48185 + 10.7561i −0.401216 + 0.665788i
\(262\) 37.4666 + 5.64718i 2.31469 + 0.348884i
\(263\) 19.6623 1.21243 0.606215 0.795301i \(-0.292687\pi\)
0.606215 + 0.795301i \(0.292687\pi\)
\(264\) 35.3608 43.4985i 2.17631 2.67715i
\(265\) −5.86656 0.884241i −0.360380 0.0543185i
\(266\) 0.715186 + 36.7405i 0.0438509 + 2.25270i
\(267\) −5.87211 + 9.95418i −0.359368 + 0.609186i
\(268\) −2.42979 + 6.19101i −0.148423 + 0.378176i
\(269\) −17.3694 11.8422i −1.05903 0.722033i −0.0970833 0.995276i \(-0.530951\pi\)
−0.961945 + 0.273243i \(0.911904\pi\)
\(270\) −4.13887 7.65818i −0.251884 0.466062i
\(271\) 2.02737 0.305577i 0.123154 0.0185625i −0.0871760 0.996193i \(-0.527784\pi\)
0.210330 + 0.977630i \(0.432546\pi\)
\(272\) −29.1364 + 4.39161i −1.76665 + 0.266280i
\(273\) −17.8622 + 1.52000i −1.08107 + 0.0919945i
\(274\) −10.6043 1.59834i −0.640628 0.0965591i
\(275\) −21.8012 −1.31466
\(276\) 5.21798 + 13.6706i 0.314086 + 0.822871i
\(277\) −5.31226 + 6.66137i −0.319183 + 0.400243i −0.915377 0.402598i \(-0.868107\pi\)
0.596194 + 0.802840i \(0.296679\pi\)
\(278\) 33.4093 + 30.9993i 2.00376 + 1.85921i
\(279\) −8.86167 + 1.16626i −0.530534 + 0.0698223i
\(280\) −9.28004 7.10958i −0.554588 0.424878i
\(281\) 2.18759 1.49147i 0.130500 0.0889737i −0.496310 0.868145i \(-0.665312\pi\)
0.626811 + 0.779171i \(0.284360\pi\)
\(282\) 30.2077 + 9.62879i 1.79884 + 0.573386i
\(283\) 3.75577 2.56064i 0.223257 0.152214i −0.446526 0.894770i \(-0.647339\pi\)
0.669784 + 0.742556i \(0.266387\pi\)
\(284\) 29.0646 + 26.9680i 1.72466 + 1.60025i
\(285\) −4.41212 4.17147i −0.261351 0.247097i
\(286\) 45.8716 + 14.1495i 2.71244 + 0.836678i
\(287\) −13.4445 4.97683i −0.793602 0.293773i
\(288\) 11.7937 19.5707i 0.694948 1.15321i
\(289\) −3.99990 1.23381i −0.235288 0.0725768i
\(290\) −4.37246 5.48289i −0.256759 0.321966i
\(291\) 24.2843 16.2254i 1.42357 0.951153i
\(292\) −24.1081 11.6099i −1.41082 0.679416i
\(293\) −0.732578 1.26886i −0.0427977 0.0741278i 0.843833 0.536606i \(-0.180294\pi\)
−0.886631 + 0.462478i \(0.846960\pi\)
\(294\) 16.4107 + 26.5782i 0.957094 + 1.55007i
\(295\) 1.26600 2.19278i 0.0737096 0.127669i
\(296\) 39.2864 26.7850i 2.28347 1.55685i
\(297\) 6.18344 23.9646i 0.358800 1.39057i
\(298\) 9.04115 23.0365i 0.523740 1.33447i
\(299\) −5.22401 + 4.84718i −0.302113 + 0.280319i
\(300\) −36.4045 + 5.13865i −2.10182 + 0.296680i
\(301\) 9.23675 32.1537i 0.532398 1.85331i
\(302\) −27.2634 + 25.2967i −1.56883 + 1.45566i
\(303\) 3.74780 15.7388i 0.215306 0.904170i
\(304\) 9.87453 43.2632i 0.566343 2.48131i
\(305\) −0.384901 5.13615i −0.0220394 0.294095i
\(306\) −23.1480 + 15.1544i −1.32328 + 0.866318i
\(307\) 11.0840 + 5.33776i 0.632596 + 0.304642i 0.722566 0.691302i \(-0.242963\pi\)
−0.0899697 + 0.995945i \(0.528677\pi\)
\(308\) −9.83320 57.6077i −0.560299 3.28250i
\(309\) 4.21446 17.6985i 0.239752 1.00683i
\(310\) 1.11067 4.86615i 0.0630816 0.276379i
\(311\) 4.66834 + 11.8947i 0.264717 + 0.674489i 0.999995 0.00327743i \(-0.00104324\pi\)
−0.735277 + 0.677767i \(0.762948\pi\)
\(312\) 45.4605 + 7.28844i 2.57370 + 0.412627i
\(313\) 14.5230 + 25.1545i 0.820888 + 1.42182i 0.905022 + 0.425365i \(0.139854\pi\)
−0.0841345 + 0.996454i \(0.526813\pi\)
\(314\) −2.18417 + 2.73886i −0.123260 + 0.154563i
\(315\) −5.03271 1.14487i −0.283561 0.0645064i
\(316\) 12.5311 + 15.7135i 0.704928 + 0.883951i
\(317\) 3.18677 8.11977i 0.178987 0.456052i −0.813020 0.582236i \(-0.802178\pi\)
0.992007 + 0.126185i \(0.0402732\pi\)
\(318\) −29.5841 27.9706i −1.65899 1.56851i
\(319\) 1.49000 19.8827i 0.0834242 1.11322i
\(320\) 1.28118 + 1.60655i 0.0716202 + 0.0898089i
\(321\) 2.52335 4.27749i 0.140840 0.238746i
\(322\) 11.6451 + 4.31073i 0.648954 + 0.240228i
\(323\) −12.0323 + 15.0881i −0.669498 + 0.839523i
\(324\) 4.67677 41.4745i 0.259821 2.30414i
\(325\) −8.95280 15.5067i −0.496612 0.860157i
\(326\) 22.7510 28.5288i 1.26006 1.58006i
\(327\) −7.70556 + 19.1050i −0.426119 + 1.05651i
\(328\) 30.4214 + 20.7409i 1.67974 + 1.14523i
\(329\) 16.0937 9.71416i 0.887275 0.535559i
\(330\) 11.3459 + 7.89225i 0.624569 + 0.434454i
\(331\) −9.56421 1.44157i −0.525696 0.0792360i −0.119168 0.992874i \(-0.538023\pi\)
−0.406528 + 0.913638i \(0.633261\pi\)
\(332\) −0.763024 10.1819i −0.0418764 0.558802i
\(333\) 10.8352 17.9802i 0.593765 0.985307i
\(334\) −1.05778 + 14.1151i −0.0578793 + 0.772346i
\(335\) −0.891127 0.274876i −0.0486875 0.0150181i
\(336\) −11.4815 35.9308i −0.626368 1.96018i
\(337\) 9.22086 2.84426i 0.502292 0.154937i −0.0332468 0.999447i \(-0.510585\pi\)
0.535539 + 0.844511i \(0.320109\pi\)
\(338\) 1.32046 + 5.78532i 0.0718237 + 0.314680i
\(339\) −10.5412 18.6597i −0.572522 1.01346i
\(340\) −2.40207 10.5242i −0.130271 0.570753i
\(341\) 11.7250 7.99399i 0.634946 0.432899i
\(342\) −8.50890 40.7896i −0.460109 2.20565i
\(343\) 18.2656 + 3.06043i 0.986252 + 0.165248i
\(344\) −42.9599 + 74.4088i −2.31624 + 4.01185i
\(345\) −1.85683 + 0.872859i −0.0999682 + 0.0469931i
\(346\) 48.6253 + 14.9989i 2.61411 + 0.806347i
\(347\) −29.9881 + 4.51998i −1.60985 + 0.242645i −0.891494 0.453033i \(-0.850342\pi\)
−0.718353 + 0.695678i \(0.755104\pi\)
\(348\) −2.19838 33.5521i −0.117845 1.79858i
\(349\) −5.33370 4.94895i −0.285506 0.264911i 0.524398 0.851473i \(-0.324290\pi\)
−0.809904 + 0.586562i \(0.800481\pi\)
\(350\) −17.0703 + 26.1154i −0.912443 + 1.39593i
\(351\) 19.5847 5.44308i 1.04536 0.290530i
\(352\) −2.71105 + 36.1764i −0.144499 + 1.92821i
\(353\) 1.56532 6.85813i 0.0833137 0.365021i −0.916035 0.401098i \(-0.868629\pi\)
0.999349 + 0.0360763i \(0.0114859\pi\)
\(354\) 15.7249 7.39195i 0.835766 0.392878i
\(355\) −3.46628 + 4.34657i −0.183971 + 0.230692i
\(356\) −2.31243 30.8572i −0.122558 1.63543i
\(357\) −2.28110 + 16.2448i −0.120729 + 0.859766i
\(358\) −3.54746 + 47.3376i −0.187489 + 2.50187i
\(359\) −3.51217 3.25882i −0.185365 0.171994i 0.582032 0.813166i \(-0.302258\pi\)
−0.767397 + 0.641172i \(0.778448\pi\)
\(360\) 11.8330 + 5.97425i 0.623656 + 0.314871i
\(361\) −5.03191 8.71552i −0.264837 0.458711i
\(362\) −22.1836 38.4231i −1.16594 2.01948i
\(363\) 4.31909 + 19.7757i 0.226693 + 1.03796i
\(364\) 36.9369 30.6510i 1.93602 1.60655i
\(365\) 1.37075 3.49260i 0.0717481 0.182811i
\(366\) 17.9586 30.4427i 0.938712 1.59127i
\(367\) −24.6528 + 11.8721i −1.28686 + 0.619721i −0.947145 0.320806i \(-0.896046\pi\)
−0.339719 + 0.940527i \(0.610332\pi\)
\(368\) −12.3894 8.44698i −0.645844 0.440329i
\(369\) 16.0258 + 2.72362i 0.834268 + 0.141786i
\(370\) 7.30909 + 9.16530i 0.379981 + 0.476481i
\(371\) −24.0320 + 2.27207i −1.24768 + 0.117960i
\(372\) 17.6947 16.1123i 0.917427 0.835384i
\(373\) 2.48272 0.128550 0.0642751 0.997932i \(-0.479526\pi\)
0.0642751 + 0.997932i \(0.479526\pi\)
\(374\) 21.9635 38.0419i 1.13571 1.96710i
\(375\) −2.30158 10.5382i −0.118853 0.544190i
\(376\) −46.1343 + 14.2305i −2.37919 + 0.733884i
\(377\) 14.7540 7.10514i 0.759868 0.365933i
\(378\) −23.8653 26.1712i −1.22750 1.34610i
\(379\) −24.3562 11.7293i −1.25109 0.602494i −0.313288 0.949658i \(-0.601430\pi\)
−0.937804 + 0.347164i \(0.887145\pi\)
\(380\) 16.0757 + 2.42302i 0.824664 + 0.124298i
\(381\) 25.3129 11.8991i 1.29682 0.609609i
\(382\) 12.3855 + 11.4921i 0.633697 + 0.587985i
\(383\) −26.4717 + 12.7481i −1.35264 + 0.651398i −0.962983 0.269561i \(-0.913121\pi\)
−0.389659 + 0.920959i \(0.627407\pi\)
\(384\) −0.803088 12.2569i −0.0409824 0.625483i
\(385\) 7.95203 1.97858i 0.405273 0.100838i
\(386\) 1.62145 7.10403i 0.0825295 0.361585i
\(387\) −3.54328 + 37.7676i −0.180115 + 1.91984i
\(388\) −28.5688 + 72.7922i −1.45036 + 3.69547i
\(389\) −1.65091 7.23312i −0.0837046 0.366734i 0.915676 0.401917i \(-0.131656\pi\)
−0.999381 + 0.0351827i \(0.988799\pi\)
\(390\) −0.954327 + 11.3110i −0.0483242 + 0.572757i
\(391\) 3.26055 + 5.64745i 0.164893 + 0.285604i
\(392\) −43.6256 18.9544i −2.20342 0.957342i
\(393\) −16.0681 + 19.7659i −0.810530 + 0.997058i
\(394\) −4.34548 57.9864i −0.218922 2.92131i
\(395\) −2.06585 + 1.91683i −0.103944 + 0.0964460i
\(396\) 23.0492 + 62.1280i 1.15826 + 3.12205i
\(397\) 19.9840 + 6.16424i 1.00297 + 0.309374i 0.752387 0.658721i \(-0.228902\pi\)
0.250580 + 0.968096i \(0.419379\pi\)
\(398\) −0.459560 0.426409i −0.0230357 0.0213740i
\(399\) −21.5188 12.1360i −1.07729 0.607560i
\(400\) 27.6185 25.6262i 1.38093 1.28131i
\(401\) 33.3745 16.0723i 1.66664 0.802614i 0.668374 0.743825i \(-0.266990\pi\)
0.998270 0.0587889i \(-0.0187239\pi\)
\(402\) −3.94300 5.04056i −0.196659 0.251400i
\(403\) 10.5009 + 5.05696i 0.523086 + 0.251905i
\(404\) 15.8259 + 40.3238i 0.787368 + 2.00618i
\(405\) 5.84824 + 0.219344i 0.290601 + 0.0108993i
\(406\) −22.6505 17.3529i −1.12413 0.861210i
\(407\) −2.49072 + 33.2363i −0.123460 + 1.64746i
\(408\) 15.7589 39.0723i 0.780182 1.93437i
\(409\) −4.21689 10.7445i −0.208512 0.531279i 0.787911 0.615789i \(-0.211163\pi\)
−0.996423 + 0.0845099i \(0.973068\pi\)
\(410\) −4.53879 + 7.86142i −0.224155 + 0.388248i
\(411\) 4.54781 5.59440i 0.224327 0.275951i
\(412\) 17.7965 + 45.3446i 0.876768 + 2.23397i
\(413\) 2.84443 9.90166i 0.139965 0.487229i
\(414\) −13.8809 2.35909i −0.682208 0.115943i
\(415\) 1.41569 0.213382i 0.0694937 0.0104745i
\(416\) −26.8447 + 12.9277i −1.31617 + 0.633835i
\(417\) −29.3623 + 8.75656i −1.43788 + 0.428810i
\(418\) 41.2470 + 51.7221i 2.01746 + 2.52981i
\(419\) −11.3295 + 28.8670i −0.553481 + 1.41025i 0.330982 + 0.943637i \(0.392620\pi\)
−0.884463 + 0.466610i \(0.845475\pi\)
\(420\) 12.8122 5.17824i 0.625174 0.252672i
\(421\) −8.00611 20.3992i −0.390194 0.994198i −0.982128 0.188212i \(-0.939731\pi\)
0.591934 0.805986i \(-0.298364\pi\)
\(422\) −24.6214 + 42.6455i −1.19855 + 2.07595i
\(423\) −15.8941 + 14.2026i −0.772798 + 0.690553i
\(424\) 61.3039 + 9.24008i 2.97718 + 0.448738i
\(425\) −15.6569 + 4.82950i −0.759469 + 0.234265i
\(426\) −36.5601 + 10.9031i −1.77134 + 0.528258i
\(427\) −6.56555 19.9013i −0.317729 0.963090i
\(428\) 0.993691 + 13.2599i 0.0480318 + 0.640940i
\(429\) −23.8624 + 21.7285i −1.15209 + 1.04906i
\(430\) −19.0854 9.19103i −0.920378 0.443231i
\(431\) 17.2643 5.32533i 0.831593 0.256512i 0.150408 0.988624i \(-0.451941\pi\)
0.681185 + 0.732112i \(0.261465\pi\)
\(432\) 20.3358 + 37.6275i 0.978408 + 1.81035i
\(433\) 2.18934 + 9.59211i 0.105213 + 0.460968i 0.999898 + 0.0142706i \(0.00454263\pi\)
−0.894685 + 0.446697i \(0.852600\pi\)
\(434\) −0.395245 20.3045i −0.0189724 0.974646i
\(435\) 4.66843 0.658967i 0.223834 0.0315951i
\(436\) −12.2735 53.7738i −0.587794 2.57530i
\(437\) −9.71125 + 1.46374i −0.464552 + 0.0700200i
\(438\) 21.4085 14.3040i 1.02294 0.683472i
\(439\) 1.25368 + 16.7292i 0.0598350 + 0.798443i 0.943721 + 0.330741i \(0.107299\pi\)
−0.883886 + 0.467702i \(0.845082\pi\)
\(440\) −21.0458 −1.00332
\(441\) −20.9957 + 0.423807i −0.999796 + 0.0201813i
\(442\) 36.0777 1.71604
\(443\) 1.03120 + 13.7604i 0.0489938 + 0.653777i 0.966601 + 0.256288i \(0.0824995\pi\)
−0.917607 + 0.397490i \(0.869881\pi\)
\(444\) 3.67485 + 56.0864i 0.174401 + 2.66174i
\(445\) 4.29041 0.646676i 0.203385 0.0306554i
\(446\) 4.57558 + 20.0469i 0.216660 + 0.949249i
\(447\) 10.2508 + 13.1042i 0.484849 + 0.619809i
\(448\) 6.63687 + 5.08461i 0.313563 + 0.240225i
\(449\) −3.12342 13.6846i −0.147403 0.645815i −0.993601 0.112946i \(-0.963971\pi\)
0.846198 0.532869i \(-0.178886\pi\)
\(450\) 13.5396 32.6834i 0.638262 1.54071i
\(451\) −24.6621 + 7.60724i −1.16129 + 0.358211i
\(452\) 51.6989 + 24.8969i 2.43171 + 1.17105i
\(453\) −5.33514 24.4279i −0.250667 1.14772i
\(454\) −4.28419 57.1685i −0.201067 2.68305i
\(455\) 4.67287 + 4.84358i 0.219067 + 0.227070i
\(456\) 46.1054 + 43.5907i 2.15908 + 2.04132i
\(457\) −11.3199 + 3.49172i −0.529522 + 0.163336i −0.547976 0.836494i \(-0.684602\pi\)
0.0184543 + 0.999830i \(0.494125\pi\)
\(458\) 5.98871 + 0.902653i 0.279834 + 0.0421782i
\(459\) −0.868025 18.5803i −0.0405160 0.867255i
\(460\) 2.74674 4.75749i 0.128067 0.221819i
\(461\) −12.3793 31.5420i −0.576563 1.46906i −0.860114 0.510101i \(-0.829608\pi\)
0.283551 0.958957i \(-0.408487\pi\)
\(462\) 52.5511 + 20.0152i 2.44490 + 0.931191i
\(463\) 5.51724 14.0577i 0.256408 0.653317i −0.743473 0.668766i \(-0.766823\pi\)
0.999881 + 0.0154496i \(0.00491796\pi\)
\(464\) 21.4835 + 26.9395i 0.997347 + 1.25063i
\(465\) 2.43834 + 2.30535i 0.113075 + 0.106908i
\(466\) 10.6735 5.14010i 0.494442 0.238111i
\(467\) −7.50996 + 1.13194i −0.347519 + 0.0523801i −0.320483 0.947254i \(-0.603845\pi\)
−0.0270366 + 0.999634i \(0.508607\pi\)
\(468\) −34.7249 + 41.9075i −1.60516 + 1.93718i
\(469\) −3.78854 0.209858i −0.174939 0.00969036i
\(470\) −4.34866 11.0802i −0.200589 0.511092i
\(471\) −0.839843 2.20030i −0.0386979 0.101385i
\(472\) −13.2294 + 22.9140i −0.608932 + 1.05470i
\(473\) −22.0031 56.0631i −1.01171 2.57778i
\(474\) −19.1494 + 2.70301i −0.879560 + 0.124153i
\(475\) 1.84403 24.6069i 0.0846099 1.12904i
\(476\) −19.8233 39.1935i −0.908601 1.79643i
\(477\) 26.3019 7.57618i 1.20428 0.346889i
\(478\) −18.3086 46.6495i −0.837416 2.13370i
\(479\) 24.4356 + 11.7676i 1.11649 + 0.537674i 0.898806 0.438346i \(-0.144435\pi\)
0.217684 + 0.976019i \(0.430150\pi\)
\(480\) −8.49417 + 1.19899i −0.387704 + 0.0547259i
\(481\) −24.6630 + 11.8771i −1.12454 + 0.541549i
\(482\) 54.2715 50.3566i 2.47200 2.29368i
\(483\) −6.47393 + 5.27054i −0.294574 + 0.239818i
\(484\) −39.7290 36.8631i −1.80586 1.67560i
\(485\) −10.4776 3.23192i −0.475765 0.146754i
\(486\) 32.0864 + 24.1531i 1.45547 + 1.09561i
\(487\) −21.1320 + 19.6077i −0.957584 + 0.888508i −0.993839 0.110835i \(-0.964648\pi\)
0.0362551 + 0.999343i \(0.488457\pi\)
\(488\) 4.02211 + 53.6713i 0.182072 + 2.42959i
\(489\) 8.74806 + 22.9190i 0.395601 + 1.03643i
\(490\) 3.85628 11.0748i 0.174209 0.500310i
\(491\) −11.7900 20.4210i −0.532077 0.921585i −0.999299 0.0374446i \(-0.988078\pi\)
0.467221 0.884140i \(-0.345255\pi\)
\(492\) −39.3886 + 18.5158i −1.77578 + 0.834758i
\(493\) −3.33443 14.6091i −0.150175 0.657961i
\(494\) −19.8504 + 50.5780i −0.893112 + 2.27561i
\(495\) −8.44560 + 3.87389i −0.379602 + 0.174118i
\(496\) −5.45712 + 23.9092i −0.245032 + 1.07356i
\(497\) −9.41601 + 20.5672i −0.422366 + 0.922565i
\(498\) 8.81148 + 4.34558i 0.394852 + 0.194730i
\(499\) −28.7910 + 13.8650i −1.28886 + 0.620684i −0.947653 0.319303i \(-0.896551\pi\)
−0.341210 + 0.939987i \(0.610837\pi\)
\(500\) 21.1710 + 19.6438i 0.946797 + 0.878499i
\(501\) −7.81200 5.43407i −0.349015 0.242777i
\(502\) 13.5712 + 2.04553i 0.605712 + 0.0912964i
\(503\) 25.1960 + 12.1338i 1.12344 + 0.541018i 0.900952 0.433918i \(-0.142869\pi\)
0.222484 + 0.974936i \(0.428584\pi\)
\(504\) 52.5904 + 11.9636i 2.34256 + 0.532902i
\(505\) −5.47249 + 2.63541i −0.243523 + 0.117274i
\(506\) 21.3613 6.58909i 0.949625 0.292921i
\(507\) −3.80103 1.21159i −0.168810 0.0538086i
\(508\) −37.4444 + 64.8556i −1.66133 + 2.87750i
\(509\) 21.4741 0.951822 0.475911 0.879493i \(-0.342118\pi\)
0.475911 + 0.879493i \(0.342118\pi\)
\(510\) 9.89651 + 3.15454i 0.438225 + 0.139685i
\(511\) 1.98103 15.1367i 0.0876357 0.669609i
\(512\) 30.6572 + 38.4429i 1.35487 + 1.69895i
\(513\) 26.5257 + 9.00621i 1.17114 + 0.397634i
\(514\) −16.2671 11.0907i −0.717510 0.489190i
\(515\) −6.15389 + 2.96356i −0.271173 + 0.130590i
\(516\) −49.9560 88.4300i −2.19919 3.89292i
\(517\) 12.3638 31.5024i 0.543758 1.38547i
\(518\) 37.8631 + 29.0075i 1.66361 + 1.27451i
\(519\) −25.2949 + 23.0329i −1.11032 + 1.01103i
\(520\) −8.64257 14.9694i −0.379002 0.656450i
\(521\) 7.69446 + 13.3272i 0.337100 + 0.583875i 0.983886 0.178797i \(-0.0572205\pi\)
−0.646786 + 0.762672i \(0.723887\pi\)
\(522\) 28.8818 + 14.5818i 1.26412 + 0.638229i
\(523\) −28.0248 26.0032i −1.22544 1.13704i −0.986109 0.166102i \(-0.946882\pi\)
−0.239329 0.970938i \(-0.576928\pi\)
\(524\) 5.09681 68.0122i 0.222655 2.97113i
\(525\) −9.29103 18.8052i −0.405494 0.820726i
\(526\) −3.78557 50.5150i −0.165059 2.20256i
\(527\) 6.64963 8.33837i 0.289662 0.363225i
\(528\) −55.7465 38.7776i −2.42605 1.68758i
\(529\) 4.37953 19.1880i 0.190414 0.834259i
\(530\) −1.14224 + 15.2422i −0.0496159 + 0.662078i
\(531\) −1.09114 + 11.6304i −0.0473515 + 0.504718i
\(532\) 65.8530 6.22597i 2.85509 0.269930i
\(533\) −15.5385 14.4176i −0.673046 0.624495i
\(534\) 26.7041 + 13.1697i 1.15560 + 0.569911i
\(535\) −1.84367 + 0.277888i −0.0797087 + 0.0120142i
\(536\) 9.31203 + 2.87238i 0.402218 + 0.124068i
\(537\) −26.1989 18.2241i −1.13057 0.786429i
\(538\) −27.0801 + 46.9041i −1.16751 + 2.02218i
\(539\) 29.4538 15.6244i 1.26866 0.672989i
\(540\) −13.1897 + 8.45943i −0.567594 + 0.364036i
\(541\) −5.55963 + 3.79049i −0.239027 + 0.162966i −0.676909 0.736066i \(-0.736681\pi\)
0.437882 + 0.899032i \(0.355729\pi\)
\(542\) −1.17539 5.14974i −0.0504875 0.221200i
\(543\) 29.8265 + 0.279545i 1.27998 + 0.0119964i
\(544\) 6.06697 + 26.5811i 0.260119 + 1.13966i
\(545\) 7.39038 2.27963i 0.316569 0.0976486i
\(546\) 7.34408 + 45.5977i 0.314297 + 1.95140i
\(547\) −21.6335 6.67306i −0.924983 0.285319i −0.204559 0.978854i \(-0.565576\pi\)
−0.720423 + 0.693535i \(0.756052\pi\)
\(548\) −1.44257 + 19.2497i −0.0616233 + 0.822306i
\(549\) 11.4933 + 20.7978i 0.490523 + 0.887627i
\(550\) 4.19738 + 56.0102i 0.178977 + 2.38828i
\(551\) 22.3154 + 3.36351i 0.950668 + 0.143290i
\(552\) 19.4033 9.12113i 0.825861 0.388221i
\(553\) −6.27362 + 9.59786i −0.266781 + 0.408142i
\(554\) 18.1367 + 12.3654i 0.770554 + 0.525354i
\(555\) −7.80384 + 1.10154i −0.331255 + 0.0467579i
\(556\) 51.1497 64.1397i 2.16923 2.72013i
\(557\) −8.63112 14.9495i −0.365712 0.633432i 0.623178 0.782080i \(-0.285841\pi\)
−0.988890 + 0.148648i \(0.952508\pi\)
\(558\) 4.70241 + 22.5422i 0.199069 + 0.954289i
\(559\) 30.8406 38.6729i 1.30442 1.63569i
\(560\) −7.74817 + 11.8537i −0.327420 + 0.500912i
\(561\) 14.5256 + 25.7126i 0.613270 + 1.08559i
\(562\) −4.25296 5.33304i −0.179400 0.224961i
\(563\) −1.04553 + 13.9517i −0.0440639 + 0.587992i 0.930849 + 0.365405i \(0.119069\pi\)
−0.974913 + 0.222588i \(0.928550\pi\)
\(564\) 13.2203 55.5181i 0.556673 2.33773i
\(565\) −2.93951 + 7.48974i −0.123666 + 0.315096i
\(566\) −7.30171 9.15606i −0.306914 0.384858i
\(567\) 23.3065 4.87933i 0.978780 0.204913i
\(568\) 36.2216 45.4205i 1.51983 1.90580i
\(569\) 5.52354 + 9.56704i 0.231559 + 0.401071i 0.958267 0.285875i \(-0.0922841\pi\)
−0.726708 + 0.686946i \(0.758951\pi\)
\(570\) −9.86759 + 12.1384i −0.413308 + 0.508423i
\(571\) 13.2443 + 33.7459i 0.554256 + 1.41222i 0.883703 + 0.468048i \(0.155042\pi\)
−0.329447 + 0.944174i \(0.606862\pi\)
\(572\) 19.2279 84.2429i 0.803958 3.52237i
\(573\) −10.8852 + 3.24623i −0.454735 + 0.135613i
\(574\) −10.1977 + 35.4987i −0.425642 + 1.48169i
\(575\) −7.51247 3.61782i −0.313292 0.150873i
\(576\) −8.46272 4.27265i −0.352613 0.178027i
\(577\) 2.58502 + 34.4947i 0.107616 + 1.43603i 0.745810 + 0.666158i \(0.232063\pi\)
−0.638194 + 0.769875i \(0.720318\pi\)
\(578\) −2.39971 + 10.5138i −0.0998147 + 0.437317i
\(579\) 3.55970 + 3.36555i 0.147936 + 0.139867i
\(580\) −9.25362 + 8.58610i −0.384236 + 0.356519i
\(581\) 5.38006 2.23331i 0.223202 0.0926532i
\(582\) −46.3607 59.2655i −1.92171 2.45663i
\(583\) −31.8562 + 29.5582i −1.31935 + 1.22418i
\(584\) −14.3239 + 36.4967i −0.592727 + 1.51025i
\(585\) −6.22364 4.41632i −0.257316 0.182592i
\(586\) −3.11883 + 2.12638i −0.128838 + 0.0878400i
\(587\) 2.27623 3.94254i 0.0939499 0.162726i −0.815220 0.579152i \(-0.803384\pi\)
0.909170 + 0.416425i \(0.136717\pi\)
\(588\) 45.5003 33.0325i 1.87640 1.36224i
\(589\) 8.03100 + 13.9101i 0.330912 + 0.573156i
\(590\) −5.87729 2.83035i −0.241964 0.116524i
\(591\) 35.0612 + 17.2912i 1.44223 + 0.711266i
\(592\) −35.9123 45.0326i −1.47599 1.85083i
\(593\) 12.3480 + 3.80885i 0.507071 + 0.156411i 0.537727 0.843119i \(-0.319283\pi\)
−0.0306555 + 0.999530i \(0.509759\pi\)
\(594\) −62.7588 11.2722i −2.57502 0.462502i
\(595\) 5.27255 3.18251i 0.216154 0.130470i
\(596\) −42.5667 13.1301i −1.74360 0.537829i
\(597\) 0.403891 0.120450i 0.0165302 0.00492971i
\(598\) 13.4588 + 12.4879i 0.550371 + 0.510670i
\(599\) −4.10884 + 2.80136i −0.167883 + 0.114460i −0.644347 0.764733i \(-0.722871\pi\)
0.476464 + 0.879194i \(0.341918\pi\)
\(600\) 11.4945 + 52.6297i 0.469262 + 2.14860i
\(601\) −30.8818 + 21.0548i −1.25969 + 0.858845i −0.994437 0.105333i \(-0.966409\pi\)
−0.265257 + 0.964178i \(0.585457\pi\)
\(602\) −84.3854 17.5399i −3.43929 0.714871i
\(603\) 4.26560 0.561385i 0.173709 0.0228614i
\(604\) 49.0751 + 45.5350i 1.99684 + 1.85279i
\(605\) 4.73813 5.94142i 0.192632 0.241553i
\(606\) −41.1565 6.59841i −1.67187 0.268042i
\(607\) 17.6429 0.716105 0.358053 0.933701i \(-0.383441\pi\)
0.358053 + 0.933701i \(0.383441\pi\)
\(608\) −40.6027 6.11987i −1.64666 0.248194i
\(609\) 17.7853 7.18817i 0.720697 0.291279i
\(610\) −13.1213 + 1.97772i −0.531267 + 0.0800756i
\(611\) 27.4841 4.14257i 1.11189 0.167590i
\(612\) 30.3159 + 39.5121i 1.22545 + 1.59718i
\(613\) −2.33985 1.59528i −0.0945057 0.0644329i 0.515145 0.857103i \(-0.327738\pi\)
−0.609651 + 0.792670i \(0.708690\pi\)
\(614\) 11.5794 29.5038i 0.467307 1.19068i
\(615\) −3.00173 5.31354i −0.121042 0.214263i
\(616\) −83.0965 + 20.6756i −3.34805 + 0.833046i
\(617\) 10.0289 + 1.51161i 0.403748 + 0.0608552i 0.347777 0.937577i \(-0.386937\pi\)
0.0559708 + 0.998432i \(0.482175\pi\)
\(618\) −46.2811 7.42000i −1.86170 0.298476i
\(619\) −28.1497 −1.13143 −0.565716 0.824600i \(-0.691400\pi\)
−0.565716 + 0.824600i \(0.691400\pi\)
\(620\) −8.88415 1.33907i −0.356796 0.0537783i
\(621\) 6.10757 7.23184i 0.245088 0.290204i
\(622\) 29.6603 14.2837i 1.18927 0.572723i
\(623\) 16.3048 6.76827i 0.653239 0.271165i
\(624\) 4.68897 55.5754i 0.187709 2.22480i
\(625\) 11.7442 14.7267i 0.469767 0.589070i
\(626\) 61.8292 42.1544i 2.47119 1.68483i
\(627\) −44.0391 + 6.21629i −1.75875 + 0.248255i
\(628\) 5.21007 + 3.55216i 0.207904 + 0.141747i
\(629\) 5.57391 + 24.4209i 0.222246 + 0.973724i
\(630\) −1.97239 + 13.1501i −0.0785817 + 0.523912i
\(631\) 6.60324 28.9307i 0.262871 1.15171i −0.655250 0.755412i \(-0.727437\pi\)
0.918121 0.396300i \(-0.129706\pi\)
\(632\) 21.5875 20.0303i 0.858706 0.796763i
\(633\) −16.2834 28.8242i −0.647206 1.14566i
\(634\) −21.4743 6.62394i −0.852852 0.263070i
\(635\) −9.46088 4.55612i −0.375444 0.180804i
\(636\) −46.2276 + 56.8660i −1.83305 + 2.25489i
\(637\) 23.2086 + 14.5335i 0.919558 + 0.575840i
\(638\) −51.3681 −2.03368
\(639\) 6.17508 24.8944i 0.244283 0.984807i
\(640\) −3.38044 + 3.13659i −0.133624 + 0.123985i
\(641\) −9.24449 11.5922i −0.365135 0.457865i 0.564995 0.825094i \(-0.308878\pi\)
−0.930131 + 0.367229i \(0.880307\pi\)
\(642\) −11.4752 5.65927i −0.452891 0.223354i
\(643\) 32.4615 10.0130i 1.28015 0.394875i 0.421219 0.906959i \(-0.361602\pi\)
0.858936 + 0.512084i \(0.171126\pi\)
\(644\) 6.17132 21.4828i 0.243184 0.846539i
\(645\) 11.8414 7.91178i 0.466254 0.311526i
\(646\) 41.0798 + 28.0077i 1.61626 + 1.10195i
\(647\) 5.89441 1.81818i 0.231733 0.0714802i −0.176714 0.984262i \(-0.556547\pi\)
0.408447 + 0.912782i \(0.366071\pi\)
\(648\) −61.1124 2.29208i −2.40072 0.0900414i
\(649\) −6.77581 17.2645i −0.265974 0.677690i
\(650\) −38.1150 + 25.9864i −1.49499 + 1.01927i
\(651\) 11.8923 + 6.70691i 0.466095 + 0.262865i
\(652\) −54.2696 37.0004i −2.12536 1.44905i
\(653\) 2.63518 11.5455i 0.103123 0.451809i −0.896833 0.442369i \(-0.854138\pi\)
0.999955 0.00943994i \(-0.00300487\pi\)
\(654\) 50.5667 + 16.1183i 1.97732 + 0.630275i
\(655\) 9.56330 0.373669
\(656\) 22.3008 38.6261i 0.870699 1.50810i
\(657\) 0.969803 + 17.2826i 0.0378356 + 0.674259i
\(658\) −28.0555 39.4766i −1.09372 1.53896i
\(659\) 48.8371 7.36101i 1.90242 0.286744i 0.910493 0.413524i \(-0.135702\pi\)
0.991931 + 0.126780i \(0.0404641\pi\)
\(660\) 12.6404 21.4275i 0.492027 0.834064i
\(661\) 0.766650 10.2302i 0.0298192 0.397910i −0.962246 0.272183i \(-0.912255\pi\)
0.992065 0.125727i \(-0.0401264\pi\)
\(662\) −1.86219 + 24.8492i −0.0723761 + 0.965792i
\(663\) −12.3237 + 20.8907i −0.478614 + 0.811328i
\(664\) −14.7936 + 2.22978i −0.574104 + 0.0865322i
\(665\) 1.56060 + 9.14274i 0.0605174 + 0.354540i
\(666\) −48.2794 24.3753i −1.87079 0.944523i
\(667\) 3.81288 6.60411i 0.147635 0.255712i
\(668\) 25.4790 0.985811
\(669\) −13.1711 4.19832i −0.509223 0.162316i
\(670\) −0.534624 + 2.34234i −0.0206543 + 0.0904925i
\(671\) −31.1714 21.2523i −1.20336 0.820437i
\(672\) −32.3602 + 13.0788i −1.24832 + 0.504526i
\(673\) 12.3871 8.44535i 0.477486 0.325545i −0.300548 0.953767i \(-0.597170\pi\)
0.778034 + 0.628222i \(0.216217\pi\)
\(674\) −9.08255 23.1420i −0.349847 0.891395i
\(675\) 14.3002 + 19.0043i 0.550416 + 0.731476i
\(676\) 10.2070 3.14845i 0.392578 0.121094i
\(677\) 18.2335 + 12.4314i 0.700771 + 0.477778i 0.860544 0.509376i \(-0.170124\pi\)
−0.159773 + 0.987154i \(0.551076\pi\)
\(678\) −45.9096 + 30.6744i −1.76315 + 1.17804i
\(679\) −44.5446 2.46746i −1.70947 0.0946923i
\(680\) −15.1143 + 4.66215i −0.579607 + 0.178785i
\(681\) 34.5667 + 17.0474i 1.32460 + 0.653256i
\(682\) −22.7950 28.5840i −0.872866 1.09454i
\(683\) −12.8637 + 11.9357i −0.492214 + 0.456708i −0.886801 0.462151i \(-0.847078\pi\)
0.394588 + 0.918858i \(0.370887\pi\)
\(684\) −72.0729 + 20.7604i −2.75578 + 0.793793i
\(685\) −2.70673 −0.103419
\(686\) 4.34596 47.5160i 0.165930 1.81417i
\(687\) −2.56835 + 3.15941i −0.0979888 + 0.120539i
\(688\) 93.7735 + 45.1590i 3.57508 + 1.72167i
\(689\) −34.1060 10.5203i −1.29933 0.400791i
\(690\) 2.59998 + 4.60238i 0.0989795 + 0.175210i
\(691\) 12.7572 11.8369i 0.485306 0.450299i −0.399174 0.916875i \(-0.630703\pi\)
0.884481 + 0.466576i \(0.154513\pi\)
\(692\) 20.3822 89.3001i 0.774814 3.39468i
\(693\) −29.5406 + 23.5926i −1.12215 + 0.896209i
\(694\) 17.3860 + 76.1731i 0.659964 + 2.89149i
\(695\) 9.50439 + 6.47998i 0.360522 + 0.245800i
\(696\) −48.7838 + 6.88602i −1.84914 + 0.261014i
\(697\) −16.0262 + 10.9265i −0.607036 + 0.413870i
\(698\) −11.6876 + 14.6558i −0.442382 + 0.554729i
\(699\) −0.669594 + 7.93628i −0.0253264 + 0.300178i
\(700\) 49.1734 + 27.1282i 1.85858 + 1.02535i
\(701\) 33.9658 16.3571i 1.28287 0.617798i 0.336744 0.941596i \(-0.390674\pi\)
0.946126 + 0.323798i \(0.104960\pi\)
\(702\) −17.7546 49.2678i −0.670105 1.85949i
\(703\) −37.3029 5.62251i −1.40691 0.212057i
\(704\) 15.0515 0.567273
\(705\) 7.90141 + 1.26679i 0.297584 + 0.0477101i
\(706\) −17.9208 2.70112i −0.674458 0.101658i
\(707\) −19.0183 + 15.7818i −0.715258 + 0.593536i
\(708\) −15.3838 27.2318i −0.578159 1.02343i
\(709\) −10.3153 + 26.2829i −0.387398 + 0.987074i 0.595571 + 0.803303i \(0.296926\pi\)
−0.982969 + 0.183771i \(0.941169\pi\)
\(710\) 11.8343 + 8.06847i 0.444132 + 0.302804i
\(711\) 4.97603 12.0117i 0.186616 0.450474i
\(712\) −44.8336 + 6.75758i −1.68021 + 0.253251i
\(713\) 5.36688 0.808928i 0.200991 0.0302946i
\(714\) 42.1741 + 2.73284i 1.57833 + 0.102274i
\(715\) 11.9808 + 1.80582i 0.448058 + 0.0675339i
\(716\) 85.4483 3.19335
\(717\) 33.2663 + 5.33340i 1.24235 + 0.199180i
\(718\) −7.69612 + 9.65063i −0.287217 + 0.360158i
\(719\) −7.41770 6.88262i −0.276634 0.256679i 0.529638 0.848224i \(-0.322328\pi\)
−0.806272 + 0.591545i \(0.798518\pi\)
\(720\) 6.14560 14.8349i 0.229033 0.552865i
\(721\) −21.3864 + 17.7469i −0.796471 + 0.660928i
\(722\) −21.4225 + 14.6056i −0.797262 + 0.543564i
\(723\) 10.6203 + 48.6270i 0.394974 + 1.80846i
\(724\) −65.9855 + 44.9882i −2.45233 + 1.67197i
\(725\) 14.0455 + 13.0323i 0.521637 + 0.484008i
\(726\) 49.9748 14.9037i 1.85474 0.553128i
\(727\) 38.8474 + 11.9828i 1.44077 + 0.444419i 0.914044 0.405615i \(-0.132943\pi\)
0.526728 + 0.850034i \(0.323419\pi\)
\(728\) −48.8301 50.6140i −1.80977 1.87588i
\(729\) −24.9461 + 10.3291i −0.923930 + 0.382561i
\(730\) −9.23685 2.84919i −0.341871 0.105453i
\(731\) −28.2212 35.3882i −1.04380 1.30888i
\(732\) −57.0605 28.1407i −2.10902 1.04011i
\(733\) 4.40547 + 2.12156i 0.162720 + 0.0783617i 0.513471 0.858107i \(-0.328359\pi\)
−0.350751 + 0.936469i \(0.614074\pi\)
\(734\) 35.2475 + 61.0504i 1.30101 + 2.25341i
\(735\) 5.09559 + 6.01601i 0.187954 + 0.221904i
\(736\) −6.93751 + 12.0161i −0.255720 + 0.442920i
\(737\) −5.64389 + 3.84794i −0.207895 + 0.141741i
\(738\) 3.91189 41.6966i 0.143999 1.53487i
\(739\) 5.62893 14.3423i 0.207063 0.527589i −0.789182 0.614159i \(-0.789495\pi\)
0.996246 + 0.0865698i \(0.0275906\pi\)
\(740\) 15.4685 14.3527i 0.568635 0.527616i
\(741\) −22.5064 28.7712i −0.826792 1.05694i
\(742\) 10.4641 + 61.3039i 0.384150 + 2.25054i
\(743\) 15.4585 14.3434i 0.567117 0.526207i −0.343667 0.939092i \(-0.611669\pi\)
0.910784 + 0.412884i \(0.135479\pi\)
\(744\) −25.4800 24.0902i −0.934141 0.883191i
\(745\) 1.38989 6.08952i 0.0509218 0.223103i
\(746\) −0.477996 6.37841i −0.0175007 0.233530i
\(747\) −5.52619 + 3.61786i −0.202193 + 0.132371i
\(748\) −71.2397 34.3072i −2.60478 1.25440i
\(749\) −7.00648 + 2.90845i −0.256011 + 0.106272i
\(750\) −26.6309 + 7.94198i −0.972422 + 0.290000i
\(751\) −4.65618 + 20.4000i −0.169906 + 0.744408i 0.816129 + 0.577870i \(0.196116\pi\)
−0.986035 + 0.166538i \(0.946741\pi\)
\(752\) 21.3666 + 54.4412i 0.779160 + 1.98527i
\(753\) −5.82022 + 7.15963i −0.212101 + 0.260911i
\(754\) −21.0946 36.5369i −0.768220 1.33060i
\(755\) −5.85275 + 7.33912i −0.213004 + 0.267098i
\(756\) −43.7671 + 46.3587i −1.59179 + 1.68605i
\(757\) −4.29547 5.38635i −0.156122 0.195770i 0.697619 0.716469i \(-0.254243\pi\)
−0.853740 + 0.520699i \(0.825671\pi\)
\(758\) −25.4448 + 64.8323i −0.924198 + 2.35482i
\(759\) −3.48138 + 14.6200i −0.126366 + 0.530671i
\(760\) 1.78013 23.7542i 0.0645721 0.861655i
\(761\) 22.7892 + 28.5767i 0.826106 + 1.03590i 0.998703 + 0.0509120i \(0.0162128\pi\)
−0.172597 + 0.984993i \(0.555216\pi\)
\(762\) −35.4438 62.7411i −1.28399 2.27287i
\(763\) 26.9404 16.2612i 0.975308 0.588696i
\(764\) 18.9622 23.7778i 0.686028 0.860252i
\(765\) −5.20716 + 4.65299i −0.188265 + 0.168229i
\(766\) 37.8481 + 65.5549i 1.36751 + 2.36859i
\(767\) 9.49729 11.9092i 0.342927 0.430017i
\(768\) −42.1742 + 5.95306i −1.52183 + 0.214813i
\(769\) −29.9872 20.4449i −1.08136 0.737262i −0.114724 0.993397i \(-0.536598\pi\)
−0.966641 + 0.256135i \(0.917551\pi\)
\(770\) −6.61424 20.0489i −0.238361 0.722511i
\(771\) 11.9787 5.63094i