Properties

Label 441.2.bd.a.47.53
Level $441$
Weight $2$
Character 441.47
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 47.53
Character \(\chi\) \(=\) 441.47
Dual form 441.2.bd.a.122.53

$q$-expansion

\(f(q)\) \(=\) \(q+(1.76148 + 1.89842i) q^{2} +(-1.24560 - 1.20353i) q^{3} +(-0.351739 + 4.69364i) q^{4} +(2.19211 + 2.74882i) q^{5} +(0.0907032 - 4.48466i) q^{6} +(-0.860337 - 2.50196i) q^{7} +(-5.48058 + 4.37061i) q^{8} +(0.103044 + 2.99823i) q^{9} +O(q^{10})\) \(q+(1.76148 + 1.89842i) q^{2} +(-1.24560 - 1.20353i) q^{3} +(-0.351739 + 4.69364i) q^{4} +(2.19211 + 2.74882i) q^{5} +(0.0907032 - 4.48466i) q^{6} +(-0.860337 - 2.50196i) q^{7} +(-5.48058 + 4.37061i) q^{8} +(0.103044 + 2.99823i) q^{9} +(-1.35707 + 9.00354i) q^{10} +(-2.88472 + 0.658418i) q^{11} +(6.08704 - 5.42307i) q^{12} +(3.62264 + 3.90427i) q^{13} +(3.23431 - 6.04043i) q^{14} +(0.577785 - 6.06221i) q^{15} +(-8.64272 - 1.30268i) q^{16} +(-0.169920 - 2.26742i) q^{17} +(-5.51039 + 5.47693i) q^{18} +(0.908718 + 0.524648i) q^{19} +(-13.6730 + 9.32212i) q^{20} +(-1.93954 + 4.15189i) q^{21} +(-6.33132 - 4.31662i) q^{22} +(-0.819252 - 1.70119i) q^{23} +(12.0868 + 1.15198i) q^{24} +(-1.63807 + 7.17684i) q^{25} +(-1.03076 + 13.7546i) q^{26} +(3.48010 - 3.85862i) q^{27} +(12.0459 - 3.15807i) q^{28} +(-4.64473 - 6.81257i) q^{29} +(12.5264 - 9.58156i) q^{30} +(4.78493 + 2.76258i) q^{31} +(-4.85325 - 7.11841i) q^{32} +(4.38563 + 2.65171i) q^{33} +(4.00521 - 4.31659i) q^{34} +(4.99150 - 7.84951i) q^{35} +(-14.1088 - 0.570942i) q^{36} +(2.52859 - 1.72396i) q^{37} +(0.604682 + 2.64928i) q^{38} +(0.186539 - 9.22311i) q^{39} +(-24.0281 - 5.48426i) q^{40} +(-0.380478 + 0.969441i) q^{41} +(-11.2985 + 3.63138i) q^{42} +(1.79260 + 4.56748i) q^{43} +(-2.07571 - 13.7714i) q^{44} +(-8.01572 + 6.85571i) q^{45} +(1.78649 - 4.55190i) q^{46} +(6.63338 - 6.15488i) q^{47} +(9.19757 + 12.0244i) q^{48} +(-5.51964 + 4.30506i) q^{49} +(-16.5101 + 9.53209i) q^{50} +(-2.51725 + 3.02881i) q^{51} +(-19.5995 + 15.6300i) q^{52} +(1.60519 - 2.35439i) q^{53} +(13.4554 - 0.190170i) q^{54} +(-8.13351 - 6.48626i) q^{55} +(15.6503 + 9.95200i) q^{56} +(-0.500471 - 1.74717i) q^{57} +(4.75153 - 20.8178i) q^{58} +(-4.43123 - 11.2906i) q^{59} +(28.2506 + 4.84423i) q^{60} +(15.4383 - 1.15694i) q^{61} +(3.18400 + 13.9500i) q^{62} +(7.41281 - 2.83730i) q^{63} +(1.07503 - 4.71000i) q^{64} +(-2.79093 + 18.5166i) q^{65} +(2.69113 + 12.9967i) q^{66} +(5.16945 - 8.95375i) q^{67} +10.7022 q^{68} +(-1.02697 + 3.10500i) q^{69} +(23.6941 - 4.35075i) q^{70} +(1.67722 + 3.48279i) q^{71} +(-13.6688 - 15.9817i) q^{72} +(-0.764071 - 2.47706i) q^{73} +(7.72685 + 1.76360i) q^{74} +(10.6779 - 6.96802i) q^{75} +(-2.78214 + 4.08065i) q^{76} +(4.12917 + 6.65100i) q^{77} +(17.8379 - 15.8922i) q^{78} +(-0.913404 - 1.58206i) q^{79} +(-15.3650 - 26.6129i) q^{80} +(-8.97876 + 0.617902i) q^{81} +(-2.51061 + 0.985342i) q^{82} +(6.33223 + 5.87545i) q^{83} +(-18.8052 - 10.5639i) q^{84} +(5.86026 - 5.43753i) q^{85} +(-5.51337 + 11.4486i) q^{86} +(-2.41363 + 14.0758i) q^{87} +(12.9322 - 16.2165i) q^{88} +(-0.457991 - 0.424953i) q^{89} +(-27.1345 - 3.14103i) q^{90} +(6.65166 - 12.4227i) q^{91} +(8.27295 - 3.24689i) q^{92} +(-2.63527 - 9.19987i) q^{93} +(23.3691 + 1.75127i) q^{94} +(0.549847 + 3.64800i) q^{95} +(-2.52199 + 14.7077i) q^{96} +(2.24757 + 1.29764i) q^{97} +(-17.8955 - 2.89533i) q^{98} +(-2.27134 - 8.58120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} + O(q^{10}) \) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.76148 + 1.89842i 1.24555 + 1.34239i 0.917505 + 0.397724i \(0.130200\pi\)
0.328047 + 0.944662i \(0.393610\pi\)
\(3\) −1.24560 1.20353i −0.719148 0.694857i
\(4\) −0.351739 + 4.69364i −0.175870 + 2.34682i
\(5\) 2.19211 + 2.74882i 0.980343 + 1.22931i 0.973347 + 0.229336i \(0.0736556\pi\)
0.00699622 + 0.999976i \(0.497773\pi\)
\(6\) 0.0907032 4.48466i 0.0370294 1.83085i
\(7\) −0.860337 2.50196i −0.325177 0.945653i
\(8\) −5.48058 + 4.37061i −1.93768 + 1.54525i
\(9\) 0.103044 + 2.99823i 0.0343481 + 0.999410i
\(10\) −1.35707 + 9.00354i −0.429142 + 2.84717i
\(11\) −2.88472 + 0.658418i −0.869775 + 0.198521i −0.634043 0.773298i \(-0.718606\pi\)
−0.235732 + 0.971818i \(0.575749\pi\)
\(12\) 6.08704 5.42307i 1.75718 1.56551i
\(13\) 3.62264 + 3.90427i 1.00474 + 1.08285i 0.996559 + 0.0828838i \(0.0264130\pi\)
0.00817904 + 0.999967i \(0.497397\pi\)
\(14\) 3.23431 6.04043i 0.864407 1.61437i
\(15\) 0.577785 6.06221i 0.149183 1.56526i
\(16\) −8.64272 1.30268i −2.16068 0.325670i
\(17\) −0.169920 2.26742i −0.0412116 0.549931i −0.979151 0.203132i \(-0.934888\pi\)
0.937940 0.346798i \(-0.112731\pi\)
\(18\) −5.51039 + 5.47693i −1.29881 + 1.29093i
\(19\) 0.908718 + 0.524648i 0.208474 + 0.120363i 0.600602 0.799548i \(-0.294928\pi\)
−0.392128 + 0.919911i \(0.628261\pi\)
\(20\) −13.6730 + 9.32212i −3.05738 + 2.08449i
\(21\) −1.93954 + 4.15189i −0.423243 + 0.906016i
\(22\) −6.33132 4.31662i −1.34984 0.920306i
\(23\) −0.819252 1.70119i −0.170826 0.354723i 0.797926 0.602755i \(-0.205931\pi\)
−0.968752 + 0.248032i \(0.920216\pi\)
\(24\) 12.0868 + 1.15198i 2.46720 + 0.235147i
\(25\) −1.63807 + 7.17684i −0.327613 + 1.43537i
\(26\) −1.03076 + 13.7546i −0.202149 + 2.69749i
\(27\) 3.48010 3.85862i 0.669745 0.742591i
\(28\) 12.0459 3.15807i 2.27646 0.596819i
\(29\) −4.64473 6.81257i −0.862505 1.26506i −0.962830 0.270108i \(-0.912941\pi\)
0.100325 0.994955i \(-0.468012\pi\)
\(30\) 12.5264 9.58156i 2.28699 1.74935i
\(31\) 4.78493 + 2.76258i 0.859399 + 0.496174i 0.863811 0.503816i \(-0.168071\pi\)
−0.00441186 + 0.999990i \(0.501404\pi\)
\(32\) −4.85325 7.11841i −0.857941 1.25837i
\(33\) 4.38563 + 2.65171i 0.763441 + 0.461604i
\(34\) 4.00521 4.31659i 0.686888 0.740289i
\(35\) 4.99150 7.84951i 0.843718 1.32681i
\(36\) −14.1088 0.570942i −2.35147 0.0951570i
\(37\) 2.52859 1.72396i 0.415697 0.283418i −0.337356 0.941377i \(-0.609533\pi\)
0.753053 + 0.657960i \(0.228580\pi\)
\(38\) 0.604682 + 2.64928i 0.0980923 + 0.429771i
\(39\) 0.186539 9.22311i 0.0298702 1.47688i
\(40\) −24.0281 5.48426i −3.79918 0.867137i
\(41\) −0.380478 + 0.969441i −0.0594206 + 0.151401i −0.957501 0.288430i \(-0.906867\pi\)
0.898080 + 0.439832i \(0.144962\pi\)
\(42\) −11.2985 + 3.63138i −1.74339 + 0.560334i
\(43\) 1.79260 + 4.56748i 0.273369 + 0.696534i 0.999955 + 0.00945833i \(0.00301072\pi\)
−0.726586 + 0.687076i \(0.758894\pi\)
\(44\) −2.07571 13.7714i −0.312924 2.07612i
\(45\) −8.01572 + 6.85571i −1.19491 + 1.02199i
\(46\) 1.78649 4.55190i 0.263403 0.671141i
\(47\) 6.63338 6.15488i 0.967578 0.897781i −0.0272221 0.999629i \(-0.508666\pi\)
0.994800 + 0.101848i \(0.0324756\pi\)
\(48\) 9.19757 + 12.0244i 1.32755 + 1.73557i
\(49\) −5.51964 + 4.30506i −0.788520 + 0.615009i
\(50\) −16.5101 + 9.53209i −2.33488 + 1.34804i
\(51\) −2.51725 + 3.02881i −0.352486 + 0.424118i
\(52\) −19.5995 + 15.6300i −2.71796 + 2.16750i
\(53\) 1.60519 2.35439i 0.220490 0.323400i −0.700016 0.714127i \(-0.746824\pi\)
0.920507 + 0.390727i \(0.127776\pi\)
\(54\) 13.4554 0.190170i 1.83105 0.0258789i
\(55\) −8.13351 6.48626i −1.09672 0.874607i
\(56\) 15.6503 + 9.95200i 2.09135 + 1.32989i
\(57\) −0.500471 1.74717i −0.0662890 0.231418i
\(58\) 4.75153 20.8178i 0.623907 2.73351i
\(59\) −4.43123 11.2906i −0.576897 1.46991i −0.859734 0.510743i \(-0.829371\pi\)
0.282836 0.959168i \(-0.408725\pi\)
\(60\) 28.2506 + 4.84423i 3.64713 + 0.625387i
\(61\) 15.4383 1.15694i 1.97667 0.148131i 0.978390 0.206768i \(-0.0662947\pi\)
0.998279 + 0.0586376i \(0.0186756\pi\)
\(62\) 3.18400 + 13.9500i 0.404369 + 1.77166i
\(63\) 7.41281 2.83730i 0.933926 0.357466i
\(64\) 1.07503 4.71000i 0.134378 0.588750i
\(65\) −2.79093 + 18.5166i −0.346172 + 2.29670i
\(66\) 2.69113 + 12.9967i 0.331255 + 1.59978i
\(67\) 5.16945 8.95375i 0.631549 1.09387i −0.355687 0.934605i \(-0.615753\pi\)
0.987235 0.159269i \(-0.0509137\pi\)
\(68\) 10.7022 1.29783
\(69\) −1.02697 + 3.10500i −0.123633 + 0.373798i
\(70\) 23.6941 4.35075i 2.83198 0.520014i
\(71\) 1.67722 + 3.48279i 0.199050 + 0.413331i 0.976471 0.215649i \(-0.0691868\pi\)
−0.777421 + 0.628980i \(0.783473\pi\)
\(72\) −13.6688 15.9817i −1.61089 1.88346i
\(73\) −0.764071 2.47706i −0.0894278 0.289918i 0.899800 0.436303i \(-0.143712\pi\)
−0.989228 + 0.146385i \(0.953236\pi\)
\(74\) 7.72685 + 1.76360i 0.898228 + 0.205015i
\(75\) 10.6779 6.96802i 1.23298 0.804598i
\(76\) −2.78214 + 4.08065i −0.319133 + 0.468083i
\(77\) 4.12917 + 6.65100i 0.470562 + 0.757951i
\(78\) 17.8379 15.8922i 2.01975 1.79943i
\(79\) −0.913404 1.58206i −0.102766 0.177996i 0.810057 0.586351i \(-0.199436\pi\)
−0.912823 + 0.408355i \(0.866103\pi\)
\(80\) −15.3650 26.6129i −1.71786 2.97542i
\(81\) −8.97876 + 0.617902i −0.997640 + 0.0686558i
\(82\) −2.51061 + 0.985342i −0.277250 + 0.108813i
\(83\) 6.33223 + 5.87545i 0.695053 + 0.644915i 0.946406 0.322981i \(-0.104685\pi\)
−0.251353 + 0.967896i \(0.580875\pi\)
\(84\) −18.8052 10.5639i −2.05182 1.15262i
\(85\) 5.86026 5.43753i 0.635635 0.589783i
\(86\) −5.51337 + 11.4486i −0.594521 + 1.23454i
\(87\) −2.41363 + 14.0758i −0.258768 + 1.50908i
\(88\) 12.9322 16.2165i 1.37858 1.72868i
\(89\) −0.457991 0.424953i −0.0485469 0.0450450i 0.655526 0.755172i \(-0.272447\pi\)
−0.704073 + 0.710127i \(0.748637\pi\)
\(90\) −27.1345 3.14103i −2.86023 0.331094i
\(91\) 6.65166 12.4227i 0.697283 1.30225i
\(92\) 8.27295 3.24689i 0.862514 0.338512i
\(93\) −2.63527 9.19987i −0.273265 0.953982i
\(94\) 23.3691 + 1.75127i 2.41034 + 0.180630i
\(95\) 0.549847 + 3.64800i 0.0564131 + 0.374276i
\(96\) −2.52199 + 14.7077i −0.257399 + 1.50110i
\(97\) 2.24757 + 1.29764i 0.228207 + 0.131755i 0.609744 0.792598i \(-0.291272\pi\)
−0.381538 + 0.924353i \(0.624605\pi\)
\(98\) −17.8955 2.89533i −1.80772 0.292473i
\(99\) −2.27134 8.58120i −0.228279 0.862443i
\(100\) −33.1093 10.2129i −3.31093 1.02129i
\(101\) −9.21383 11.5538i −0.916810 1.14964i −0.988349 0.152206i \(-0.951362\pi\)
0.0715383 0.997438i \(-0.477209\pi\)
\(102\) −10.1840 + 0.556370i −1.00837 + 0.0550888i
\(103\) −7.19961 + 5.74150i −0.709399 + 0.565727i −0.910332 0.413878i \(-0.864174\pi\)
0.200933 + 0.979605i \(0.435603\pi\)
\(104\) −36.9182 5.56452i −3.62013 0.545646i
\(105\) −15.6645 + 3.76995i −1.52870 + 0.367909i
\(106\) 7.29713 1.09987i 0.708760 0.106828i
\(107\) −13.5424 + 14.5953i −1.30920 + 1.41098i −0.455473 + 0.890249i \(0.650530\pi\)
−0.853723 + 0.520728i \(0.825661\pi\)
\(108\) 16.8868 + 17.6915i 1.62494 + 1.70237i
\(109\) 11.6516 10.8111i 1.11602 1.03551i 0.116915 0.993142i \(-0.462699\pi\)
0.999102 0.0423706i \(-0.0134910\pi\)
\(110\) −2.01334 26.8662i −0.191965 2.56159i
\(111\) −5.22445 0.895855i −0.495883 0.0850308i
\(112\) 4.17639 + 22.7445i 0.394632 + 2.14915i
\(113\) 1.93388 + 6.26947i 0.181924 + 0.589782i 0.999895 + 0.0145225i \(0.00462283\pi\)
−0.817971 + 0.575260i \(0.804901\pi\)
\(114\) 2.43529 4.02770i 0.228086 0.377229i
\(115\) 2.88039 5.98119i 0.268598 0.557749i
\(116\) 33.6095 19.4044i 3.12056 1.80166i
\(117\) −11.3326 + 11.2638i −1.04770 + 1.04134i
\(118\) 13.6288 28.3005i 1.25463 2.60527i
\(119\) −5.52682 + 2.37588i −0.506643 + 0.217797i
\(120\) 23.3290 + 35.7497i 2.12963 + 3.26348i
\(121\) −2.02257 + 0.974020i −0.183870 + 0.0885473i
\(122\) 29.3905 + 27.2704i 2.66089 + 2.46895i
\(123\) 1.64067 0.749622i 0.147934 0.0675911i
\(124\) −14.6496 + 21.4870i −1.31557 + 1.92959i
\(125\) −7.48021 + 3.60228i −0.669051 + 0.322198i
\(126\) 18.4439 + 9.07478i 1.64311 + 0.808446i
\(127\) −9.30416 4.48065i −0.825610 0.397593i −0.0271433 0.999632i \(-0.508641\pi\)
−0.798467 + 0.602039i \(0.794355\pi\)
\(128\) −4.08717 + 2.35973i −0.361258 + 0.208573i
\(129\) 3.26422 7.84670i 0.287398 0.690864i
\(130\) −40.0684 + 27.3182i −3.51423 + 2.39596i
\(131\) −1.02271 + 1.28244i −0.0893548 + 0.112047i −0.824499 0.565863i \(-0.808543\pi\)
0.735144 + 0.677911i \(0.237114\pi\)
\(132\) −13.9888 + 19.6518i −1.21757 + 1.71047i
\(133\) 0.530848 2.72495i 0.0460303 0.236283i
\(134\) 26.1038 5.95803i 2.25503 0.514695i
\(135\) 18.2354 + 1.10766i 1.56946 + 0.0953318i
\(136\) 10.8413 + 11.6841i 0.929632 + 1.00191i
\(137\) −2.63122 2.09833i −0.224800 0.179272i 0.504613 0.863346i \(-0.331635\pi\)
−0.729413 + 0.684073i \(0.760207\pi\)
\(138\) −7.70358 + 3.51976i −0.655772 + 0.299622i
\(139\) −10.1970 4.00204i −0.864900 0.339448i −0.108926 0.994050i \(-0.534741\pi\)
−0.755974 + 0.654602i \(0.772836\pi\)
\(140\) 35.0870 + 26.1893i 2.96539 + 2.21340i
\(141\) −15.6701 0.316931i −1.31966 0.0266904i
\(142\) −3.65741 + 9.31892i −0.306923 + 0.782027i
\(143\) −13.0209 8.87752i −1.08886 0.742375i
\(144\) 3.01515 26.0471i 0.251262 2.17059i
\(145\) 8.54478 27.7015i 0.709605 2.30048i
\(146\) 3.35660 5.81381i 0.277794 0.481154i
\(147\) 12.0565 + 1.28065i 0.994406 + 0.105626i
\(148\) 7.20225 + 12.4747i 0.592021 + 1.02541i
\(149\) 2.71455 0.619579i 0.222385 0.0507579i −0.109876 0.993945i \(-0.535046\pi\)
0.332261 + 0.943187i \(0.392188\pi\)
\(150\) 32.0371 + 7.99713i 2.61582 + 0.652963i
\(151\) −15.0627 + 7.25382i −1.22579 + 0.590307i −0.930917 0.365230i \(-0.880990\pi\)
−0.294869 + 0.955538i \(0.595276\pi\)
\(152\) −7.27333 + 1.09628i −0.589945 + 0.0889199i
\(153\) 6.78074 0.743104i 0.548190 0.0600764i
\(154\) −5.35296 + 19.5545i −0.431353 + 1.57574i
\(155\) 2.89527 + 19.2088i 0.232553 + 1.54289i
\(156\) 43.2243 + 4.11968i 3.46071 + 0.329838i
\(157\) −15.3530 + 6.02562i −1.22531 + 0.480897i −0.887714 0.460396i \(-0.847707\pi\)
−0.337591 + 0.941293i \(0.609612\pi\)
\(158\) 1.39448 4.52079i 0.110939 0.359655i
\(159\) −4.83300 + 1.00073i −0.383282 + 0.0793633i
\(160\) 8.92838 28.9451i 0.705850 2.28831i
\(161\) −3.55149 + 3.51334i −0.279897 + 0.276890i
\(162\) −16.9889 15.9570i −1.33478 1.25370i
\(163\) 2.92892 + 7.46277i 0.229411 + 0.584529i 0.998508 0.0546024i \(-0.0173891\pi\)
−0.769097 + 0.639132i \(0.779294\pi\)
\(164\) −4.41638 2.12681i −0.344861 0.166076i
\(165\) 2.32472 + 17.8682i 0.180979 + 1.39104i
\(166\) 22.3707i 1.73630i
\(167\) −0.883283 11.7866i −0.0683505 0.912074i −0.920993 0.389579i \(-0.872620\pi\)
0.852642 0.522495i \(-0.174999\pi\)
\(168\) −7.51648 31.2317i −0.579909 2.40958i
\(169\) −1.14836 + 15.3239i −0.0883357 + 1.17876i
\(170\) 20.6454 + 1.54716i 1.58343 + 0.118662i
\(171\) −1.47938 + 2.77861i −0.113131 + 0.212485i
\(172\) −22.0686 + 6.80726i −1.68272 + 0.519049i
\(173\) 4.83412 + 3.29585i 0.367531 + 0.250578i 0.732976 0.680255i \(-0.238131\pi\)
−0.365445 + 0.930833i \(0.619083\pi\)
\(174\) −30.9733 + 20.2121i −2.34808 + 1.53228i
\(175\) 19.3655 2.07612i 1.46389 0.156940i
\(176\) 25.7895 1.93266i 1.94396 0.145679i
\(177\) −8.06899 + 19.3967i −0.606503 + 1.45794i
\(178\) 1.61800i 0.121275i
\(179\) 0.360157 0.0269901i 0.0269194 0.00201733i −0.0612636 0.998122i \(-0.519513\pi\)
0.0881830 + 0.996104i \(0.471894\pi\)
\(180\) −29.3588 40.0343i −2.18827 2.98398i
\(181\) −18.0102 4.11072i −1.33869 0.305547i −0.507555 0.861619i \(-0.669451\pi\)
−0.831134 + 0.556072i \(0.812308\pi\)
\(182\) 35.3002 9.25463i 2.61663 0.685999i
\(183\) −20.6223 17.1393i −1.52445 1.26697i
\(184\) 11.9252 + 5.74289i 0.879140 + 0.423371i
\(185\) 10.2818 + 3.17152i 0.755935 + 0.233175i
\(186\) 12.8232 21.2082i 0.940246 1.55506i
\(187\) 1.98308 + 6.42899i 0.145017 + 0.470135i
\(188\) 26.5555 + 33.2996i 1.93676 + 2.42862i
\(189\) −12.6482 5.38737i −0.920019 0.391874i
\(190\) −5.95688 + 7.46970i −0.432158 + 0.541909i
\(191\) −24.6223 9.66356i −1.78161 0.699231i −0.996839 0.0794455i \(-0.974685\pi\)
−0.784771 0.619785i \(-0.787220\pi\)
\(192\) −7.00767 + 4.57296i −0.505735 + 0.330025i
\(193\) 0.903194 0.136135i 0.0650133 0.00979919i −0.116455 0.993196i \(-0.537153\pi\)
0.181468 + 0.983397i \(0.441915\pi\)
\(194\) 1.49559 + 6.55260i 0.107377 + 0.470449i
\(195\) 25.7616 19.7053i 1.84483 1.41113i
\(196\) −18.2649 27.4214i −1.30464 1.95867i
\(197\) 2.37825i 0.169443i −0.996405 0.0847217i \(-0.973000\pi\)
0.996405 0.0847217i \(-0.0270001\pi\)
\(198\) 12.2898 19.4275i 0.873398 1.38066i
\(199\) 9.52133 + 3.73685i 0.674949 + 0.264898i 0.677961 0.735097i \(-0.262864\pi\)
−0.00301238 + 0.999995i \(0.500959\pi\)
\(200\) −22.3896 46.4926i −1.58319 3.28752i
\(201\) −17.2151 + 4.93123i −1.21426 + 0.347822i
\(202\) 5.70398 37.8434i 0.401331 2.66265i
\(203\) −13.0488 + 17.4821i −0.915844 + 1.22700i
\(204\) −13.3307 12.8804i −0.933335 0.901809i
\(205\) −3.49888 + 1.07926i −0.244372 + 0.0753788i
\(206\) −23.5817 3.55437i −1.64302 0.247645i
\(207\) 5.01615 2.63160i 0.348647 0.182909i
\(208\) −26.2234 38.4627i −1.81827 2.66691i
\(209\) −2.96683 0.915147i −0.205220 0.0633020i
\(210\) −34.7496 23.0972i −2.39795 1.59386i
\(211\) −5.67995 + 1.75203i −0.391024 + 0.120615i −0.484032 0.875050i \(-0.660828\pi\)
0.0930077 + 0.995665i \(0.470352\pi\)
\(212\) 10.4860 + 8.36233i 0.720183 + 0.574327i
\(213\) 2.10248 6.35675i 0.144060 0.435557i
\(214\) −51.5626 −3.52475
\(215\) −8.62561 + 14.9400i −0.588262 + 1.01890i
\(216\) −2.20843 + 36.3576i −0.150265 + 2.47382i
\(217\) 2.79523 14.3485i 0.189752 0.974038i
\(218\) 41.0479 + 3.07611i 2.78011 + 0.208341i
\(219\) −2.02948 + 4.00501i −0.137139 + 0.270633i
\(220\) 33.3050 35.8942i 2.24542 2.41999i
\(221\) 8.23707 8.87745i 0.554086 0.597162i
\(222\) −7.50203 11.4962i −0.503503 0.771576i
\(223\) 9.36601 + 0.701885i 0.627194 + 0.0470017i 0.384536 0.923110i \(-0.374362\pi\)
0.242659 + 0.970112i \(0.421981\pi\)
\(224\) −13.6346 + 18.2669i −0.910998 + 1.22051i
\(225\) −21.6866 4.17177i −1.44577 0.278118i
\(226\) −8.49561 + 14.7148i −0.565120 + 0.978816i
\(227\) −12.4822 −0.828472 −0.414236 0.910170i \(-0.635951\pi\)
−0.414236 + 0.910170i \(0.635951\pi\)
\(228\) 8.37661 1.73448i 0.554755 0.114869i
\(229\) −6.35792 5.07028i −0.420143 0.335053i 0.390490 0.920607i \(-0.372306\pi\)
−0.810633 + 0.585554i \(0.800877\pi\)
\(230\) 16.4286 5.06754i 1.08327 0.334143i
\(231\) 2.86136 13.2541i 0.188264 0.872053i
\(232\) 55.2309 + 17.0365i 3.62609 + 1.11850i
\(233\) −12.1996 17.8935i −0.799222 1.17224i −0.981961 0.189081i \(-0.939449\pi\)
0.182740 0.983161i \(-0.441503\pi\)
\(234\) −41.3456 1.67313i −2.70284 0.109376i
\(235\) 31.4598 + 4.74180i 2.05221 + 0.309321i
\(236\) 54.5526 16.8272i 3.55107 1.09536i
\(237\) −0.766317 + 3.06992i −0.0497777 + 0.199413i
\(238\) −14.2458 6.30717i −0.923416 0.408833i
\(239\) 0.0495535 0.328766i 0.00320535 0.0212661i −0.987171 0.159667i \(-0.948958\pi\)
0.990376 + 0.138401i \(0.0441961\pi\)
\(240\) −12.8907 + 51.6413i −0.832094 + 3.33343i
\(241\) 11.8755 + 24.6598i 0.764970 + 1.58848i 0.807844 + 0.589397i \(0.200635\pi\)
−0.0428731 + 0.999081i \(0.513651\pi\)
\(242\) −5.41182 2.12398i −0.347885 0.136535i
\(243\) 11.9276 + 10.0365i 0.765157 + 0.643844i
\(244\) 72.8686i 4.66493i
\(245\) −23.9335 5.73534i −1.52906 0.366417i
\(246\) 4.31310 + 1.79424i 0.274993 + 0.114397i
\(247\) 1.24358 + 5.44849i 0.0791273 + 0.346679i
\(248\) −38.2984 + 5.77255i −2.43195 + 0.366557i
\(249\) −0.816169 14.9395i −0.0517226 0.946752i
\(250\) −20.0149 7.85525i −1.26585 0.496810i
\(251\) 7.55938 9.47917i 0.477144 0.598320i −0.483760 0.875201i \(-0.660729\pi\)
0.960904 + 0.276881i \(0.0893007\pi\)
\(252\) 10.7099 + 35.7910i 0.674659 + 2.25462i
\(253\) 3.48341 + 4.36805i 0.219000 + 0.274617i
\(254\) −7.88290 25.5557i −0.494617 1.60351i
\(255\) −13.8438 0.279993i −0.866930 0.0175338i
\(256\) −20.9122 6.45056i −1.30701 0.403160i
\(257\) 3.53871 + 1.70415i 0.220739 + 0.106302i 0.540985 0.841032i \(-0.318052\pi\)
−0.320247 + 0.947334i \(0.603766\pi\)
\(258\) 20.6462 7.62493i 1.28538 0.474707i
\(259\) −6.48873 4.84325i −0.403190 0.300945i
\(260\) −85.9285 19.6126i −5.32906 1.21632i
\(261\) 19.9470 14.6280i 1.23469 0.905449i
\(262\) −4.23609 + 0.317451i −0.261707 + 0.0196122i
\(263\) 24.9301i 1.53725i 0.639698 + 0.768627i \(0.279060\pi\)
−0.639698 + 0.768627i \(0.720940\pi\)
\(264\) −35.6254 + 4.63500i −2.19259 + 0.285265i
\(265\) 9.99057 0.748690i 0.613716 0.0459916i
\(266\) 6.10818 3.79217i 0.374517 0.232513i
\(267\) 0.0590309 + 1.08053i 0.00361263 + 0.0661271i
\(268\) 40.2073 + 27.4129i 2.45605 + 1.67451i
\(269\) 18.4699 5.69720i 1.12613 0.347364i 0.324914 0.945744i \(-0.394665\pi\)
0.801213 + 0.598379i \(0.204188\pi\)
\(270\) 30.0185 + 36.5696i 1.82687 + 2.22556i
\(271\) 12.1320 + 0.909169i 0.736968 + 0.0552281i 0.437925 0.899012i \(-0.355714\pi\)
0.299043 + 0.954240i \(0.403333\pi\)
\(272\) −1.48516 + 19.8180i −0.0900508 + 1.20164i
\(273\) −23.2364 + 7.46826i −1.40633 + 0.452000i
\(274\) −0.651325 8.69132i −0.0393480 0.525062i
\(275\) 21.7817i 1.31349i
\(276\) −14.2125 5.91238i −0.855493 0.355884i
\(277\) 2.57261 + 1.23890i 0.154573 + 0.0744386i 0.509571 0.860429i \(-0.329804\pi\)
−0.354998 + 0.934867i \(0.615518\pi\)
\(278\) −10.3643 26.4077i −0.621607 1.58383i
\(279\) −7.78979 + 14.6310i −0.466363 + 0.875935i
\(280\) 6.95085 + 64.8357i 0.415393 + 3.87468i
\(281\) −2.75298 + 8.92494i −0.164229 + 0.532417i −0.999858 0.0168777i \(-0.994627\pi\)
0.835629 + 0.549295i \(0.185104\pi\)
\(282\) −27.0009 30.3067i −1.60788 1.80474i
\(283\) 5.67069 18.3839i 0.337087 1.09281i −0.615396 0.788218i \(-0.711004\pi\)
0.952483 0.304592i \(-0.0985201\pi\)
\(284\) −16.9369 + 6.64724i −1.00502 + 0.394441i
\(285\) 3.70557 5.20570i 0.219499 0.308359i
\(286\) −6.08280 40.3567i −0.359683 2.38634i
\(287\) 2.75285 + 0.117895i 0.162495 + 0.00695913i
\(288\) 20.8425 15.2847i 1.22816 0.900657i
\(289\) 11.6978 1.76316i 0.688106 0.103715i
\(290\) 67.6405 32.5739i 3.97199 1.91281i
\(291\) −1.23784 4.32136i −0.0725634 0.253322i
\(292\) 11.8952 2.71499i 0.696112 0.158883i
\(293\) −1.73509 3.00526i −0.101365 0.175569i 0.810882 0.585209i \(-0.198988\pi\)
−0.912247 + 0.409640i \(0.865654\pi\)
\(294\) 18.8061 + 25.1442i 1.09679 + 1.46644i
\(295\) 21.3221 36.9310i 1.24142 2.15020i
\(296\) −6.32335 + 20.4998i −0.367537 + 1.19153i
\(297\) −7.49852 + 13.4224i −0.435108 + 0.778845i
\(298\) 5.95784 + 4.06199i 0.345129 + 0.235305i
\(299\) 3.67407 9.36139i 0.212477 0.541383i
\(300\) 28.9495 + 52.5691i 1.67140 + 3.03508i
\(301\) 9.88542 8.41460i 0.569786 0.485009i
\(302\) −40.3034 15.8179i −2.31920 0.910219i
\(303\) −2.42853 + 25.4805i −0.139515 + 1.46382i
\(304\) −7.17034 5.71816i −0.411247 0.327959i
\(305\) 37.0227 + 39.9010i 2.11991 + 2.28472i
\(306\) 13.3548 + 11.5637i 0.763445 + 0.661055i
\(307\) 11.7388 2.67931i 0.669970 0.152916i 0.126012 0.992029i \(-0.459782\pi\)
0.543958 + 0.839112i \(0.316925\pi\)
\(308\) −32.6697 + 17.0414i −1.86153 + 0.971023i
\(309\) 15.8779 + 1.51331i 0.903262 + 0.0860893i
\(310\) −31.3665 + 39.3323i −1.78150 + 2.23393i
\(311\) 8.93814 6.09392i 0.506836 0.345555i −0.282752 0.959193i \(-0.591247\pi\)
0.789587 + 0.613639i \(0.210295\pi\)
\(312\) 39.2883 + 51.3632i 2.22426 + 2.90787i
\(313\) 18.6658 10.7767i 1.05505 0.609135i 0.130994 0.991383i \(-0.458183\pi\)
0.924060 + 0.382248i \(0.124850\pi\)
\(314\) −38.4832 18.5325i −2.17173 1.04585i
\(315\) 24.0490 + 14.1568i 1.35501 + 0.797647i
\(316\) 7.74690 3.73071i 0.435797 0.209869i
\(317\) −0.559949 + 0.821295i −0.0314499 + 0.0461285i −0.841642 0.540036i \(-0.818411\pi\)
0.810192 + 0.586165i \(0.199363\pi\)
\(318\) −10.4130 7.41230i −0.583934 0.415661i
\(319\) 17.8843 + 16.5942i 1.00133 + 0.929095i
\(320\) 15.3036 7.36981i 0.855495 0.411985i
\(321\) 34.4343 1.88120i 1.92193 0.104998i
\(322\) −12.9257 0.553562i −0.720319 0.0308488i
\(323\) 1.03519 2.14959i 0.0575995 0.119607i
\(324\) 0.257978 42.3604i 0.0143321 2.35335i
\(325\) −33.9545 + 19.6036i −1.88345 + 1.08741i
\(326\) −9.00824 + 18.7058i −0.498920 + 1.03602i
\(327\) −27.5246 0.556691i −1.52211 0.0307851i
\(328\) −2.15182 6.97602i −0.118814 0.385186i
\(329\) −21.1062 11.3012i −1.16362 0.623056i
\(330\) −29.8264 + 35.8877i −1.64189 + 1.97555i
\(331\) 0.800192 + 10.6778i 0.0439825 + 0.586906i 0.975039 + 0.222032i \(0.0712689\pi\)
−0.931057 + 0.364874i \(0.881112\pi\)
\(332\) −29.8045 + 27.6546i −1.63574 + 1.51774i
\(333\) 5.42939 + 7.40364i 0.297529 + 0.405717i
\(334\) 20.8200 22.4386i 1.13922 1.22779i
\(335\) 35.9443 5.41773i 1.96385 0.296002i
\(336\) 22.1715 33.3570i 1.20956 1.81977i
\(337\) 2.57736 + 0.388474i 0.140398 + 0.0211616i 0.218865 0.975755i \(-0.429765\pi\)
−0.0784674 + 0.996917i \(0.525003\pi\)
\(338\) −31.1139 + 24.8125i −1.69238 + 1.34962i
\(339\) 5.13664 10.1367i 0.278984 0.550552i
\(340\) 23.4605 + 29.4185i 1.27232 + 1.59544i
\(341\) −15.6221 4.81878i −0.845985 0.260952i
\(342\) −7.88085 + 2.08597i −0.426148 + 0.112796i
\(343\) 15.5199 + 10.1061i 0.837994 + 0.545680i
\(344\) −29.7872 17.1976i −1.60602 0.927235i
\(345\) −10.7863 + 3.98355i −0.580717 + 0.214467i
\(346\) 2.25828 + 14.9827i 0.121406 + 0.805477i
\(347\) 11.8842 + 0.890598i 0.637977 + 0.0478098i 0.389792 0.920903i \(-0.372547\pi\)
0.248185 + 0.968713i \(0.420166\pi\)
\(348\) −65.2177 16.2797i −3.49604 0.872684i
\(349\) −1.83946 + 0.721934i −0.0984639 + 0.0386442i −0.414062 0.910249i \(-0.635890\pi\)
0.315598 + 0.948893i \(0.397795\pi\)
\(350\) 38.0532 + 33.1068i 2.03403 + 1.76963i
\(351\) 27.6722 0.391102i 1.47703 0.0208755i
\(352\) 18.6871 + 17.3391i 0.996028 + 0.924179i
\(353\) −11.5731 + 14.5122i −0.615975 + 0.772409i −0.987772 0.155906i \(-0.950170\pi\)
0.371797 + 0.928314i \(0.378742\pi\)
\(354\) −51.0364 + 18.8485i −2.71255 + 1.00179i
\(355\) −5.89691 + 12.2451i −0.312976 + 0.649901i
\(356\) 2.15567 2.00017i 0.114250 0.106009i
\(357\) 9.74365 + 3.69228i 0.515688 + 0.195416i
\(358\) 0.685647 + 0.636188i 0.0362376 + 0.0336236i
\(359\) 1.19517 0.469071i 0.0630789 0.0247566i −0.333592 0.942718i \(-0.608261\pi\)
0.396671 + 0.917961i \(0.370165\pi\)
\(360\) 13.9671 72.6069i 0.736131 3.82672i
\(361\) −8.94949 15.5010i −0.471026 0.815840i
\(362\) −23.9207 41.4319i −1.25724 2.17761i
\(363\) 3.69158 + 1.22098i 0.193758 + 0.0640849i
\(364\) 55.9679 + 35.5900i 2.93352 + 1.86542i
\(365\) 5.13407 7.53029i 0.268729 0.394154i
\(366\) −3.78818 69.3404i −0.198011 3.62448i
\(367\) −15.4194 3.51938i −0.804886 0.183710i −0.199765 0.979844i \(-0.564018\pi\)
−0.605121 + 0.796134i \(0.706875\pi\)
\(368\) 4.86445 + 15.7702i 0.253577 + 0.822076i
\(369\) −2.94581 1.04086i −0.153353 0.0541852i
\(370\) 12.0903 + 25.1058i 0.628545 + 1.30519i
\(371\) −7.27160 1.99057i −0.377523 0.103345i
\(372\) 44.1078 9.13306i 2.28688 0.473527i
\(373\) −31.1307 −1.61189 −0.805944 0.591991i \(-0.798342\pi\)
−0.805944 + 0.591991i \(0.798342\pi\)
\(374\) −8.71178 + 15.0892i −0.450475 + 0.780246i
\(375\) 13.6528 + 4.51564i 0.705028 + 0.233186i
\(376\) −9.45416 + 62.7242i −0.487561 + 3.23475i
\(377\) 9.77196 42.8138i 0.503282 2.20502i
\(378\) −12.0520 33.5013i −0.619886 1.72312i
\(379\) −0.117162 0.513321i −0.00601822 0.0263675i 0.971830 0.235684i \(-0.0757331\pi\)
−0.977848 + 0.209317i \(0.932876\pi\)
\(380\) −17.3158 + 1.29764i −0.888280 + 0.0665674i
\(381\) 6.19669 + 16.7789i 0.317466 + 0.859609i
\(382\) −25.0262 63.7657i −1.28045 3.26254i
\(383\) −2.79189 + 12.2321i −0.142659 + 0.625029i 0.852153 + 0.523293i \(0.175297\pi\)
−0.994811 + 0.101736i \(0.967560\pi\)
\(384\) 7.93098 + 1.97974i 0.404726 + 0.101028i
\(385\) −9.23082 + 25.9301i −0.470446 + 1.32152i
\(386\) 1.84940 + 1.47484i 0.0941318 + 0.0750676i
\(387\) −13.5096 + 5.84529i −0.686733 + 0.297133i
\(388\) −6.88120 + 10.0929i −0.349340 + 0.512388i
\(389\) 10.4359 8.32235i 0.529121 0.421960i −0.322148 0.946689i \(-0.604405\pi\)
0.851269 + 0.524729i \(0.175833\pi\)
\(390\) 82.7875 + 14.1959i 4.19211 + 0.718836i
\(391\) −3.71812 + 2.14666i −0.188033 + 0.108561i
\(392\) 11.4350 47.7184i 0.577557 2.41015i
\(393\) 2.81734 0.366547i 0.142116 0.0184899i
\(394\) 4.51492 4.18923i 0.227458 0.211051i
\(395\) 2.34652 5.97885i 0.118066 0.300828i
\(396\) 41.0759 7.64251i 2.06414 0.384050i
\(397\) 1.48712 + 9.86639i 0.0746364 + 0.495180i 0.994651 + 0.103295i \(0.0329387\pi\)
−0.920014 + 0.391885i \(0.871823\pi\)
\(398\) 9.67749 + 24.6578i 0.485089 + 1.23599i
\(399\) −3.94078 + 2.75531i −0.197286 + 0.137938i
\(400\) 23.5065 59.8935i 1.17532 2.99468i
\(401\) 1.70402 + 0.388930i 0.0850945 + 0.0194223i 0.264856 0.964288i \(-0.414676\pi\)
−0.179762 + 0.983710i \(0.557533\pi\)
\(402\) −39.6856 23.9953i −1.97934 1.19678i
\(403\) 6.54819 + 28.6895i 0.326189 + 1.42913i
\(404\) 57.4701 39.1824i 2.85924 1.94940i
\(405\) −21.3810 23.3265i −1.06243 1.15910i
\(406\) −56.1734 + 6.02218i −2.78784 + 0.298876i
\(407\) −6.15918 + 6.63801i −0.305299 + 0.329034i
\(408\) 0.558247 27.6015i 0.0276374 1.36648i
\(409\) 15.3019 + 22.4437i 0.756629 + 1.10977i 0.990501 + 0.137504i \(0.0439079\pi\)
−0.233872 + 0.972267i \(0.575140\pi\)
\(410\) −8.21207 4.74124i −0.405565 0.234153i
\(411\) 0.752056 + 5.78043i 0.0370962 + 0.285128i
\(412\) −24.4161 35.8119i −1.20290 1.76432i
\(413\) −24.4363 + 20.8005i −1.20243 + 1.02353i
\(414\) 13.8317 + 4.88725i 0.679792 + 0.240195i
\(415\) −2.26961 + 30.2859i −0.111411 + 1.48668i
\(416\) 10.2107 44.7358i 0.500618 2.19335i
\(417\) 7.88486 + 17.2573i 0.386123 + 0.845095i
\(418\) −3.48867 7.24430i −0.170637 0.354330i
\(419\) −28.3863 19.3535i −1.38676 0.945478i −0.999726 0.0234135i \(-0.992547\pi\)
−0.387036 0.922065i \(-0.626501\pi\)
\(420\) −12.1849 74.8496i −0.594563 3.65228i
\(421\) 6.25323 4.26338i 0.304764 0.207785i −0.401275 0.915958i \(-0.631433\pi\)
0.706039 + 0.708173i \(0.250480\pi\)
\(422\) −13.3312 7.69677i −0.648952 0.374673i
\(423\) 19.1373 + 19.2542i 0.930486 + 0.936170i
\(424\) 1.49273 + 19.9191i 0.0724934 + 0.967357i
\(425\) 16.5513 + 2.49470i 0.802854 + 0.121011i
\(426\) 15.7712 7.20587i 0.764119 0.349126i
\(427\) −16.1767 37.6307i −0.782847 1.82107i
\(428\) −63.7414 68.6969i −3.08106 3.32059i
\(429\) 5.53455 + 26.7289i 0.267210 + 1.29048i
\(430\) −43.5562 + 9.94141i −2.10047 + 0.479418i
\(431\) −2.77059 + 18.3817i −0.133455 + 0.885414i 0.817466 + 0.575978i \(0.195378\pi\)
−0.950920 + 0.309436i \(0.899860\pi\)
\(432\) −35.1040 + 28.8155i −1.68894 + 1.38638i
\(433\) −8.94830 + 7.13603i −0.430028 + 0.342936i −0.814462 0.580216i \(-0.802968\pi\)
0.384434 + 0.923152i \(0.374397\pi\)
\(434\) 32.1632 19.9680i 1.54388 0.958494i
\(435\) −43.9829 + 24.2211i −2.10882 + 1.16131i
\(436\) 46.6449 + 58.4908i 2.23389 + 2.80120i
\(437\) 0.148060 1.97572i 0.00708267 0.0945117i
\(438\) −11.1781 + 3.20192i −0.534108 + 0.152994i
\(439\) −12.3040 13.2605i −0.587237 0.632891i 0.367613 0.929979i \(-0.380175\pi\)
−0.954850 + 0.297088i \(0.903985\pi\)
\(440\) 72.9252 3.47657
\(441\) −13.4763 16.1055i −0.641730 0.766930i
\(442\) 31.3625 1.49176
\(443\) 11.0835 + 11.9451i 0.526592 + 0.567531i 0.939197 0.343379i \(-0.111572\pi\)
−0.412605 + 0.910910i \(0.635381\pi\)
\(444\) 6.04246 24.2065i 0.286763 1.14879i
\(445\) 0.164154 2.19048i 0.00778164 0.103839i
\(446\) 15.1655 + 19.0170i 0.718109 + 0.900480i
\(447\) −4.12693 2.49529i −0.195197 0.118023i
\(448\) −12.7091 + 1.36251i −0.600451 + 0.0643726i
\(449\) 23.3709 18.6377i 1.10294 0.879565i 0.109507 0.993986i \(-0.465073\pi\)
0.993432 + 0.114421i \(0.0365012\pi\)
\(450\) −30.2807 48.5187i −1.42744 2.28720i
\(451\) 0.459273 3.04708i 0.0216263 0.143481i
\(452\) −30.1068 + 6.87169i −1.41611 + 0.323217i
\(453\) 27.4923 + 9.09302i 1.29170 + 0.427227i
\(454\) −21.9871 23.6964i −1.03190 1.11213i
\(455\) 48.7290 8.94771i 2.28445 0.419475i
\(456\) 10.3791 + 7.38813i 0.486045 + 0.345981i
\(457\) 0.907868 + 0.136839i 0.0424683 + 0.00640106i 0.170242 0.985402i \(-0.445545\pi\)
−0.127774 + 0.991803i \(0.540783\pi\)
\(458\) −1.57382 21.0012i −0.0735398 0.981321i
\(459\) −9.34045 7.23520i −0.435975 0.337710i
\(460\) 27.0604 + 15.6233i 1.26170 + 0.728441i
\(461\) 21.2883 14.5141i 0.991495 0.675990i 0.0450934 0.998983i \(-0.485641\pi\)
0.946401 + 0.322993i \(0.104689\pi\)
\(462\) 30.2020 17.9146i 1.40512 0.833464i
\(463\) 5.15855 + 3.51704i 0.239738 + 0.163451i 0.677229 0.735772i \(-0.263181\pi\)
−0.437491 + 0.899223i \(0.644133\pi\)
\(464\) 31.2685 + 64.9297i 1.45160 + 3.01429i
\(465\) 19.5120 27.4111i 0.904848 1.27116i
\(466\) 12.4801 54.6789i 0.578130 2.53295i
\(467\) −0.440676 + 5.88041i −0.0203920 + 0.272113i 0.977683 + 0.210088i \(0.0673749\pi\)
−0.998075 + 0.0620251i \(0.980244\pi\)
\(468\) −48.8821 57.1531i −2.25957 2.64190i
\(469\) −26.8494 5.23053i −1.23979 0.241523i
\(470\) 46.4138 + 68.0765i 2.14091 + 3.14013i
\(471\) 26.3758 + 10.9723i 1.21533 + 0.505576i
\(472\) 73.6326 + 42.5118i 3.38921 + 1.95676i
\(473\) −8.17847 11.9956i −0.376046 0.551559i
\(474\) −7.17785 + 3.95281i −0.329690 + 0.181558i
\(475\) −5.25386 + 5.66231i −0.241063 + 0.259805i
\(476\) −9.20751 26.7766i −0.422026 1.22730i
\(477\) 7.22440 + 4.57014i 0.330783 + 0.209252i
\(478\) 0.711423 0.485040i 0.0325397 0.0221852i
\(479\) −3.05411 13.3809i −0.139546 0.611391i −0.995535 0.0943964i \(-0.969908\pi\)
0.855989 0.516995i \(-0.172949\pi\)
\(480\) −45.9574 + 25.3085i −2.09766 + 1.15517i
\(481\) 15.8910 + 3.62701i 0.724566 + 0.165377i
\(482\) −25.8962 + 65.9824i −1.17954 + 3.00542i
\(483\) 8.65214 0.101900i 0.393686 0.00463661i
\(484\) −3.86028 9.83583i −0.175467 0.447083i
\(485\) 1.35996 + 9.02276i 0.0617527 + 0.409702i
\(486\) 1.95668 + 40.3227i 0.0887566 + 1.82908i
\(487\) 12.9465 32.9870i 0.586660 1.49478i −0.261585 0.965180i \(-0.584245\pi\)
0.848245 0.529604i \(-0.177659\pi\)
\(488\) −79.5541 + 73.8155i −3.60125 + 3.34147i
\(489\) 5.33338 12.8207i 0.241184 0.579771i
\(490\) −31.2703 55.5386i −1.41265 2.50898i
\(491\) −31.1755 + 17.9992i −1.40693 + 0.812291i −0.995091 0.0989653i \(-0.968447\pi\)
−0.411839 + 0.911257i \(0.635113\pi\)
\(492\) 2.94136 + 7.96439i 0.132607 + 0.359062i
\(493\) −14.6577 + 11.6892i −0.660151 + 0.526453i
\(494\) −8.15298 + 11.9582i −0.366820 + 0.538026i
\(495\) 18.6092 25.0545i 0.836420 1.12612i
\(496\) −37.7561 30.1094i −1.69530 1.35195i
\(497\) 7.27083 7.19272i 0.326141 0.322638i
\(498\) 26.9238 27.8650i 1.20648 1.24866i
\(499\) 3.93259 17.2298i 0.176047 0.771312i −0.807384 0.590027i \(-0.799117\pi\)
0.983431 0.181285i \(-0.0580257\pi\)
\(500\) −14.2767 36.3765i −0.638474 1.62680i
\(501\) −13.0853 + 15.7445i −0.584607 + 0.703410i
\(502\) 31.3111 2.34644i 1.39748 0.104727i
\(503\) 4.93662 + 21.6288i 0.220113 + 0.964379i 0.957392 + 0.288790i \(0.0932531\pi\)
−0.737279 + 0.675588i \(0.763890\pi\)
\(504\) −28.2257 + 47.9486i −1.25727 + 2.13580i
\(505\) 11.5615 50.6544i 0.514482 2.25409i
\(506\) −2.15646 + 14.3072i −0.0958664 + 0.636032i
\(507\) 19.8731 17.7053i 0.882595 0.786321i
\(508\) 24.3032 42.0943i 1.07828 1.86763i
\(509\) −3.18826 −0.141317 −0.0706586 0.997501i \(-0.522510\pi\)
−0.0706586 + 0.997501i \(0.522510\pi\)
\(510\) −23.8539 26.7745i −1.05627 1.18559i
\(511\) −5.54015 + 4.04278i −0.245082 + 0.178842i
\(512\) −20.4951 42.5585i −0.905763 1.88084i
\(513\) 5.18684 1.68056i 0.229005 0.0741987i
\(514\) 2.99815 + 9.71978i 0.132243 + 0.428721i
\(515\) −31.5648 7.20445i −1.39091 0.317466i
\(516\) 35.6814 + 18.0810i 1.57079 + 0.795973i
\(517\) −15.0829 + 22.1226i −0.663347 + 0.972952i
\(518\) −2.23522 20.8496i −0.0982101 0.916078i
\(519\) −2.05474 9.92330i −0.0901932 0.435585i
\(520\) −65.6330 113.680i −2.87820 4.98519i
\(521\) 4.07398 + 7.05634i 0.178484 + 0.309144i 0.941362 0.337399i \(-0.109547\pi\)
−0.762877 + 0.646543i \(0.776214\pi\)
\(522\) 62.9063 + 12.1010i 2.75333 + 0.529648i
\(523\) −31.5484 + 12.3818i −1.37952 + 0.541420i −0.935095 0.354398i \(-0.884686\pi\)
−0.444421 + 0.895818i \(0.646591\pi\)
\(524\) −5.65958 5.25132i −0.247240 0.229405i
\(525\) −26.6203 20.7209i −1.16181 0.904333i
\(526\) −47.3277 + 43.9137i −2.06359 + 1.91473i
\(527\) 5.45088 11.3189i 0.237444 0.493058i
\(528\) −34.4494 28.6311i −1.49922 1.24601i
\(529\) 12.1174 15.1947i 0.526843 0.660640i
\(530\) 19.0195 + 17.6475i 0.826153 + 0.766558i
\(531\) 33.3952 14.4493i 1.44923 0.627046i
\(532\) 12.6032 + 3.45008i 0.546419 + 0.149580i
\(533\) −5.16330 + 2.02644i −0.223647 + 0.0877750i
\(534\) −1.94731 + 2.01539i −0.0842684 + 0.0872143i
\(535\) −69.8064 5.23127i −3.01799 0.226167i
\(536\) 10.8018 + 71.6654i 0.466567 + 3.09547i
\(537\) −0.481096 0.399840i −0.0207608 0.0172544i
\(538\) 43.3499 + 25.0281i 1.86895 + 1.07904i
\(539\) 13.0881 16.0531i 0.563743 0.691457i
\(540\) −11.6130 + 85.2009i −0.499746 + 3.66646i
\(541\) 6.04370 + 1.86423i 0.259839 + 0.0801497i 0.421938 0.906625i \(-0.361350\pi\)
−0.162099 + 0.986775i \(0.551826\pi\)
\(542\) 19.6443 + 24.6331i 0.843794 + 1.05808i
\(543\) 17.4862 + 26.7961i 0.750404 + 1.14993i
\(544\) −15.3158 + 12.2139i −0.656658 + 0.523667i
\(545\) 55.2593 + 8.32900i 2.36705 + 0.356775i
\(546\) −55.1082 30.9572i −2.35841 1.32485i
\(547\) 16.9408 2.55342i 0.724337 0.109176i 0.223483 0.974708i \(-0.428257\pi\)
0.500854 + 0.865532i \(0.333019\pi\)
\(548\) 10.7743 11.6119i 0.460255 0.496037i
\(549\) 5.05960 + 46.1683i 0.215938 + 1.97041i
\(550\) 41.3508 38.3679i 1.76320 1.63601i
\(551\) −0.646546 8.62755i −0.0275438 0.367546i
\(552\) −7.94236 21.5057i −0.338049 0.915343i
\(553\) −3.17243 + 3.64641i −0.134905 + 0.155061i
\(554\) 2.17963 + 7.06620i 0.0926038 + 0.300214i
\(555\) −8.99004 16.3249i −0.381606 0.692954i
\(556\) 22.3708 46.4534i 0.948733 1.97006i
\(557\) 6.07092 3.50505i 0.257233 0.148514i −0.365839 0.930678i \(-0.619218\pi\)
0.623072 + 0.782165i \(0.285884\pi\)
\(558\) −41.4973 + 10.9838i −1.75672 + 0.464983i
\(559\) −11.3387 + 23.5451i −0.479577 + 0.995853i
\(560\) −53.3655 + 61.3387i −2.25511 + 2.59203i
\(561\) 5.26734 10.3947i 0.222387 0.438863i
\(562\) −21.7926 + 10.4948i −0.919265 + 0.442695i
\(563\) −11.7810 10.9312i −0.496510 0.460694i 0.391726 0.920082i \(-0.371878\pi\)
−0.888236 + 0.459388i \(0.848069\pi\)
\(564\) 6.99935 73.4383i 0.294726 3.09231i
\(565\) −12.9944 + 19.0593i −0.546679 + 0.801830i
\(566\) 44.8892 21.6175i 1.88683 0.908651i
\(567\) 9.27073 + 21.9329i 0.389334 + 0.921097i
\(568\) −24.4141 11.7572i −1.02439 0.493321i
\(569\) −11.3915 + 6.57688i −0.477556 + 0.275717i −0.719397 0.694599i \(-0.755582\pi\)
0.241841 + 0.970316i \(0.422249\pi\)
\(570\) 16.4099 2.13499i 0.687334 0.0894249i
\(571\) 14.4543 9.85478i 0.604894 0.412410i −0.221775 0.975098i \(-0.571185\pi\)
0.826669 + 0.562688i \(0.190233\pi\)
\(572\) 46.2478 57.9929i 1.93372 2.42480i
\(573\) 19.0393 + 41.6706i 0.795377 + 1.74081i
\(574\) 4.62526 + 5.43373i 0.193055 + 0.226799i
\(575\) 13.5512 3.09297i 0.565123 0.128986i
\(576\) 14.2324 + 2.73784i 0.593019 + 0.114077i
\(577\) 11.3272 + 12.2078i 0.471557 + 0.508217i 0.923378 0.383891i \(-0.125416\pi\)
−0.451822 + 0.892108i \(0.649226\pi\)
\(578\) 23.9526 + 19.1016i 0.996297 + 0.794520i
\(579\) −1.28886 0.917449i −0.0535633 0.0381279i
\(580\) 127.015 + 49.8498i 5.27402 + 2.06990i
\(581\) 9.25232 20.8979i 0.383851 0.866990i
\(582\) 6.02332 9.96190i 0.249675 0.412934i
\(583\) −3.08036 + 7.84863i −0.127576 + 0.325057i
\(584\) 15.0138 + 10.2362i 0.621276 + 0.423579i
\(585\) −55.8046 6.45981i −2.30724 0.267080i
\(586\) 2.64893 8.58762i 0.109426 0.354751i
\(587\) −6.41548 + 11.1119i −0.264795 + 0.458639i −0.967510 0.252833i \(-0.918638\pi\)
0.702715 + 0.711472i \(0.251971\pi\)
\(588\) −10.2516 + 56.1385i −0.422771 + 2.31511i
\(589\) 2.89877 + 5.02081i 0.119442 + 0.206879i
\(590\) 107.669 24.5747i 4.43266 1.01173i
\(591\) −2.86229 + 2.96235i −0.117739 + 0.121855i
\(592\) −24.0996 + 11.6058i −0.990489 + 0.476994i
\(593\) −33.3467 + 5.02621i −1.36939 + 0.206402i −0.792225 0.610229i \(-0.791077\pi\)
−0.577160 + 0.816631i \(0.695839\pi\)
\(594\) −38.6898 + 9.40785i −1.58746 + 0.386009i
\(595\) −18.6463 9.98405i −0.764424 0.409306i
\(596\) 1.95326 + 12.9591i 0.0800088 + 0.530824i
\(597\) −7.36238 16.1138i −0.301322 0.659494i
\(598\) 24.2436 9.51493i 0.991396 0.389094i
\(599\) −4.85910 + 15.7528i −0.198537 + 0.643643i 0.800481 + 0.599357i \(0.204577\pi\)
−0.999019 + 0.0442851i \(0.985899\pi\)
\(600\) −28.0665 + 84.8577i −1.14581 + 3.46430i
\(601\) −4.60339 + 14.9238i −0.187776 + 0.608755i 0.811912 + 0.583780i \(0.198427\pi\)
−0.999688 + 0.0249754i \(0.992049\pi\)
\(602\) 33.3874 + 3.94457i 1.36077 + 0.160769i
\(603\) 27.3781 + 14.5766i 1.11492 + 0.593603i
\(604\) −28.7486 73.2503i −1.16977 2.98051i
\(605\) −7.11113 3.42454i −0.289108 0.139227i
\(606\) −52.6505 + 40.2729i −2.13878 + 1.63598i
\(607\) 12.8918i 0.523263i 0.965168 + 0.261632i \(0.0842606\pi\)
−0.965168 + 0.261632i \(0.915739\pi\)
\(608\) −0.675571 9.01487i −0.0273980 0.365601i
\(609\) 37.2937 6.07112i 1.51122 0.246014i
\(610\) −10.5342 + 140.569i −0.426518 + 5.69148i
\(611\) 48.0606 + 3.60165i 1.94433 + 0.145707i
\(612\) 1.10280 + 32.0877i 0.0445782 + 1.29707i
\(613\) −23.4475 + 7.23258i −0.947034 + 0.292121i −0.729538 0.683940i \(-0.760265\pi\)
−0.217496 + 0.976061i \(0.569789\pi\)
\(614\) 25.7641 + 17.5657i 1.03976 + 0.708893i
\(615\) 5.65712 + 2.86666i 0.228117 + 0.115595i
\(616\) −51.6992 18.4043i −2.08302 0.741531i
\(617\) −42.5548 + 3.18904i −1.71319 + 0.128386i −0.894856 0.446355i \(-0.852722\pi\)
−0.818335 + 0.574741i \(0.805103\pi\)
\(618\) 25.0956 + 32.8086i 1.00949 + 1.31975i
\(619\) 45.1334i 1.81407i −0.421059 0.907033i \(-0.638342\pi\)
0.421059 0.907033i \(-0.361658\pi\)
\(620\) −91.1776 + 6.83282i −3.66178 + 0.274413i
\(621\) −9.41533 2.75915i −0.377824 0.110721i
\(622\) 27.3131 + 6.23405i 1.09516 + 0.249963i
\(623\) −0.669191 + 1.51148i −0.0268106 + 0.0605561i
\(624\) −13.6270 + 79.4697i −0.545515 + 3.18133i
\(625\) 6.86245 + 3.30478i 0.274498 + 0.132191i
\(626\) 53.3381 + 16.4526i 2.13182 + 0.657579i
\(627\) 2.59409 + 4.71057i 0.103598 + 0.188122i
\(628\) −22.8818 74.1810i −0.913083 2.96014i
\(629\) −4.33861 5.44044i −0.172992 0.216925i
\(630\) 15.4861 + 70.5919i 0.616981 + 2.81245i
\(631\) 18.2264 22.8551i 0.725580 0.909849i −0.273059 0.961997i \(-0.588035\pi\)
0.998639 + 0.0521484i \(0.0166069\pi\)
\(632\) 11.9206 + 4.67847i 0.474174 + 0.186100i
\(633\) 9.18357 + 4.65364i 0.365014 + 0.184966i
\(634\) −2.54550 + 0.383672i −0.101095 + 0.0152376i
\(635\) −8.07927 35.3976i −0.320616 1.40471i
\(636\) −2.99712 23.0363i −0.118843 0.913451i
\(637\) −36.8038 5.95451i −1.45822 0.235926i
\(638\) 63.1821i 2.50140i
\(639\) −10.2694 + 5.38758i −0.406250 + 0.213129i
\(640\) −15.4460 6.06212i −0.610558 0.239626i
\(641\) −11.8250 24.5550i −0.467061 0.969863i −0.992864 0.119256i \(-0.961949\pi\)
0.525802 0.850607i \(-0.323765\pi\)
\(642\) 64.2264 + 62.0570i 2.53482 + 2.44919i
\(643\) −0.222523 + 1.47634i −0.00877544 + 0.0582213i −0.992790 0.119867i \(-0.961753\pi\)
0.984015 + 0.178088i \(0.0569913\pi\)
\(644\) −15.2411 17.9052i −0.600584 0.705563i
\(645\) 28.7248 8.22812i 1.13104 0.323982i
\(646\) 5.90430 1.82123i 0.232301 0.0716555i
\(647\) 26.2141 + 3.95113i 1.03058 + 0.155335i 0.642496 0.766289i \(-0.277899\pi\)
0.388084 + 0.921624i \(0.373137\pi\)
\(648\) 46.5082 42.6292i 1.82701 1.67463i
\(649\) 20.2168 + 29.6526i 0.793579 + 1.16397i
\(650\) −97.0258 29.9285i −3.80567 1.17389i
\(651\) −20.7505 + 14.5083i −0.813277 + 0.568627i
\(652\) −36.0577 + 11.1223i −1.41213 + 0.435584i
\(653\) −26.4485 21.0920i −1.03501 0.825392i −0.0501489 0.998742i \(-0.515970\pi\)
−0.984860 + 0.173349i \(0.944541\pi\)
\(654\) −47.4271 53.2339i −1.85455 2.08161i
\(655\) −5.76711 −0.225340
\(656\) 4.55123 7.88297i 0.177696 0.307778i
\(657\) 7.34806 2.54611i 0.286675 0.0993331i
\(658\) −15.7237 59.9753i −0.612972 2.33808i
\(659\) −16.5373 1.23930i −0.644201 0.0482762i −0.251376 0.967890i \(-0.580883\pi\)
−0.392825 + 0.919613i \(0.628502\pi\)
\(660\) −84.6844 + 4.62645i −3.29634 + 0.180084i
\(661\) −6.84195 + 7.37387i −0.266121 + 0.286810i −0.851949 0.523626i \(-0.824579\pi\)
0.585828 + 0.810436i \(0.300770\pi\)
\(662\) −18.8615 + 20.3278i −0.733071 + 0.790063i
\(663\) −20.9444 + 1.14422i −0.813412 + 0.0444380i
\(664\) −60.3836 4.52513i −2.34334 0.175609i
\(665\) 8.65410 4.51420i 0.335591 0.175053i
\(666\) −4.49148 + 23.3486i −0.174041 + 0.904740i
\(667\) −7.78430 + 13.4828i −0.301409 + 0.522056i
\(668\) 55.6327 2.15249
\(669\) −10.8216 12.1465i −0.418386 0.469611i
\(670\) 73.6002 + 58.6942i 2.84342 + 2.26755i
\(671\) −43.7733 + 13.5023i −1.68985 + 0.521250i
\(672\) 38.9679 6.34367i 1.50322 0.244712i
\(673\) −6.87680 2.12121i −0.265081 0.0817667i 0.159365 0.987220i \(-0.449055\pi\)
−0.424447 + 0.905453i \(0.639531\pi\)
\(674\) 3.80247 + 5.57720i 0.146466 + 0.214826i
\(675\) 21.9920 + 31.2968i 0.846473 + 1.20461i
\(676\) −71.5207 10.7800i −2.75080 0.414616i
\(677\) −6.04311 + 1.86405i −0.232256 + 0.0716414i −0.408698 0.912670i \(-0.634017\pi\)
0.176443 + 0.984311i \(0.443541\pi\)
\(678\) 28.2918 8.10411i 1.08654 0.311237i
\(679\) 1.31297 6.73976i 0.0503872 0.258648i
\(680\) −8.35228 + 55.4137i −0.320295 + 2.12502i
\(681\) 15.5478 + 15.0227i 0.595794 + 0.575669i
\(682\) −18.3699 38.1455i −0.703420 1.46067i
\(683\) 4.24212 + 1.66491i 0.162320 + 0.0637060i 0.445110 0.895476i \(-0.353165\pi\)
−0.282790 + 0.959182i \(0.591260\pi\)
\(684\) −12.5214 7.92101i −0.478768 0.302867i
\(685\) 11.8325i 0.452098i
\(686\) 8.15217 + 47.2649i 0.311251 + 1.80458i
\(687\) 1.81722 + 13.9675i 0.0693314 + 0.532892i
\(688\) −9.54300 41.8106i −0.363823 1.59401i
\(689\) 15.0072 2.26197i 0.571729 0.0861743i
\(690\) −26.5623 13.4601i −1.01121 0.512416i
\(691\) −11.4712 4.50213i −0.436386 0.171269i 0.136970 0.990575i \(-0.456264\pi\)
−0.573356 + 0.819306i \(0.694359\pi\)
\(692\) −17.1698 + 21.5303i −0.652700 + 0.818459i
\(693\) −19.5157 + 13.0655i −0.741341 + 0.496319i
\(694\) 19.2430 + 24.1300i 0.730455 + 0.915961i
\(695\) −11.3521 36.8028i −0.430611 1.39601i
\(696\) −48.2918 87.6926i −1.83050 3.32398i
\(697\) 2.26278 + 0.697976i 0.0857090 + 0.0264377i
\(698\) −4.61069 2.22039i −0.174517 0.0840431i
\(699\) −6.33950 + 36.9707i −0.239782 + 1.39836i
\(700\) 2.93293 + 91.6247i 0.110854 + 3.46309i
\(701\) −34.8869 7.96270i −1.31766 0.300747i −0.494807 0.869003i \(-0.664761\pi\)
−0.822852 + 0.568256i \(0.807618\pi\)
\(702\) 49.4864 + 51.8446i 1.86774 + 1.95675i
\(703\) 3.20225 0.239975i 0.120775 0.00905084i
\(704\) 14.2948i 0.538757i
\(705\) −33.4795 43.7691i −1.26091 1.64844i
\(706\) −47.9361 + 3.59231i −1.80410 + 0.135199i
\(707\) −20.9801 + 32.9928i −0.789039 + 1.24082i
\(708\) −88.2028 44.6955i −3.31486 1.67976i
\(709\) −0.195468 0.133268i −0.00734097 0.00500499i 0.559644 0.828733i \(-0.310938\pi\)
−0.566985 + 0.823728i \(0.691890\pi\)
\(710\) −33.6335 + 10.3746i −1.26224 + 0.389351i
\(711\) 4.64926 2.90162i 0.174361 0.108819i
\(712\) 4.36736 + 0.327288i 0.163674 + 0.0122657i
\(713\) 0.779623 10.4033i 0.0291971 0.389608i
\(714\) 10.1537 + 25.0014i 0.379993 + 0.935653i
\(715\) −4.14062 55.2528i −0.154851 2.06634i
\(716\) 1.69994i 0.0635298i
\(717\) −0.457402 + 0.349872i −0.0170820 + 0.0130662i
\(718\) 2.99577 + 1.44268i 0.111801 + 0.0538405i
\(719\) 8.28522 + 21.1104i 0.308986 + 0.787285i 0.998040 + 0.0625744i \(0.0199311\pi\)
−0.689054 + 0.724710i \(0.741974\pi\)
\(720\) 78.2084 48.8101i 2.91466 1.81904i
\(721\) 20.5591 + 13.0735i 0.765662 + 0.486884i
\(722\) 13.6630 44.2945i 0.508486 1.64847i
\(723\) 14.8866 45.0088i 0.553637 1.67390i
\(724\) 25.6291 83.0875i 0.952498 3.08792i
\(725\) 56.5011 22.1750i 2.09840 0.823560i
\(726\) 4.18469 + 9.15890i 0.155309 + 0.339919i
\(727\) −0.346833 2.30109i −0.0128633 0.0853426i 0.981478 0.191575i \(-0.0613594\pi\)
−0.994341 + 0.106232i \(0.966121\pi\)
\(728\) 17.8399 + 97.1553i 0.661189 + 3.60082i
\(729\) −2.77782 26.8567i −0.102882 0.994694i
\(730\) 23.3392 3.51782i 0.863822 0.130200i
\(731\) 10.0518 4.84069i 0.371779 0.179040i
\(732\) 87.6993 90.7652i 3.24146 3.35478i
\(733\) −25.5652 + 5.83509i −0.944273 + 0.215524i −0.666823 0.745216i \(-0.732346\pi\)
−0.277450 + 0.960740i \(0.589489\pi\)
\(734\) −20.4796 35.4718i −0.755917 1.30929i
\(735\) 22.9090 + 35.9486i 0.845012 + 1.32598i
\(736\) −8.13376 + 14.0881i −0.299814 + 0.519294i
\(737\) −9.01709 + 29.2327i −0.332149 + 1.07680i
\(738\) −3.21298 7.42585i −0.118272 0.273349i
\(739\) 12.0489 + 8.21480i 0.443226 + 0.302186i 0.764292 0.644871i \(-0.223089\pi\)
−0.321066 + 0.947057i \(0.604041\pi\)
\(740\) −18.5025 + 47.1436i −0.680165 + 1.73303i
\(741\) 5.00840 8.28333i 0.183988 0.304296i
\(742\) −9.02981 17.3109i −0.331495 0.635503i
\(743\) 36.2660 + 14.2334i 1.33047 + 0.522172i 0.920791 0.390057i \(-0.127545\pi\)
0.409681 + 0.912229i \(0.365640\pi\)
\(744\) 54.6519 + 38.9028i 2.00364 + 1.42625i
\(745\) 7.65373 + 6.10364i 0.280411 + 0.223620i
\(746\) −54.8361 59.0992i −2.00769 2.16378i
\(747\) −16.9635 + 19.5909i −0.620661 + 0.716795i
\(748\) −30.8729 + 7.04653i −1.12882 + 0.257647i
\(749\) 48.1679 + 21.3258i 1.76002 + 0.779228i
\(750\) 15.4765 + 33.8729i 0.565123 + 1.23687i
\(751\) 21.8491 27.3978i 0.797283 0.999762i −0.202507 0.979281i \(-0.564909\pi\)
0.999790 0.0204808i \(-0.00651970\pi\)
\(752\) −65.3483 + 44.5537i −2.38301 + 1.62471i
\(753\) −20.8244 + 2.70934i −0.758884 + 0.0987338i
\(754\) 98.4915 56.8641i 3.58685 2.07087i
\(755\) −52.9587 25.5036i −1.92736 0.928169i
\(756\) 29.7352 57.4710i 1.08146 2.09020i
\(757\) 24.0393 11.5767i 0.873722 0.420762i 0.0573942 0.998352i \(-0.481721\pi\)
0.816327 + 0.577589i \(0.196007\pi\)
\(758\) 0.768121 1.12663i 0.0278994 0.0409209i
\(759\) 0.918136 9.63323i 0.0333262 0.349664i
\(760\) −18.9575 17.5900i −0.687659 0.638055i
\(761\) 47.0368 22.6517i 1.70508 0.821125i 0.712209 0.701968i \(-0.247695\pi\)
0.992875 0.119158i \(-0.0380194\pi\)
\(762\) −20.9381 + 41.3196i −0.758507 + 1.49685i
\(763\) −37.0732 19.8506i −1.34214 0.718641i
\(764\) 54.0179 112.169i 1.95430 4.05814i
\(765\) 16.9068 + 17.0101i 0.611268 + 0.615002i
\(766\) −28.1394 + 16.2463i −1.01672 + 0.587003i
\(767\) 28.0288 58.2025i 1.01206 2.10157i
\(768\) 18.2848 + 33.2032i 0.659797 + 1.19812i
\(769\) −2.93963 9.53004i −0.106006 0.343662i 0.886994 0.461782i \(-0.152790\pi\)
−0.992999 + 0.118119i \(0.962313\pi\)
\(770\) −65.4861 + 28.1513i −2.35995 + 1.01450i
\(771\) −2.35683 6.38162i −0.0848790 0.229829i
\(772\) 0.321277 + 4.28715i 0.0115630 + 0.154298i
\(773\) −19.8077 + 18.3789i