Properties

Label 441.2.bd.a.122.53
Level $441$
Weight $2$
Character 441.122
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 122.53
Character \(\chi\) \(=\) 441.122
Dual form 441.2.bd.a.47.53

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} + O(q^{10}) \) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} - 22q^{10} - 21q^{11} + 24q^{12} - 10q^{13} - 24q^{14} - 10q^{15} + 42q^{16} + 9q^{17} + 12q^{18} - 36q^{19} - 15q^{20} - 38q^{21} - 9q^{22} - 84q^{23} - 38q^{24} - 97q^{25} - 6q^{26} - 20q^{27} - 26q^{28} - 123q^{29} - q^{30} - 6q^{31} - 30q^{32} - 8q^{33} - q^{34} + 70q^{36} - 13q^{37} - 75q^{38} - 24q^{39} - 7q^{40} - 15q^{41} - 133q^{42} - 9q^{43} - 51q^{44} - 41q^{45} - 108q^{46} - 36q^{47} + 15q^{48} + 5q^{49} - 45q^{50} + 10q^{51} - 35q^{52} + 12q^{53} - 50q^{54} + 14q^{55} + 33q^{56} - 7q^{57} + 33q^{58} - 3q^{59} + 180q^{60} + 55q^{61} - 66q^{62} - 20q^{63} + 64q^{64} + 3q^{65} + 285q^{66} + 13q^{67} + 6q^{68} + 82q^{69} + 11q^{70} + 63q^{71} - 21q^{72} - 22q^{73} - 21q^{74} - 107q^{75} + 21q^{76} - 69q^{77} + 63q^{78} + q^{79} + 45q^{80} - 211q^{81} - 28q^{82} + 9q^{83} + 239q^{84} - 10q^{85} - 21q^{86} - 109q^{87} - 29q^{88} - 132q^{89} - 275q^{90} - 13q^{91} + 195q^{92} + 19q^{93} - 4q^{94} - 129q^{95} - 5q^{96} - 3q^{97} - 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{37}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.76148 1.89842i 1.24555 1.34239i 0.328047 0.944662i \(-0.393610\pi\)
0.917505 0.397724i \(-0.130200\pi\)
\(3\) −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 0.00699622 0.999976i \(-0.497773\pi\)
0.973347 0.229336i \(-0.0736556\pi\)
\(6\) 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 −0.235732 0.971818i \(-0.575749\pi\)
−0.634043 + 0.773298i \(0.718606\pi\)
\(12\) 6.08704 + 5.42307i 1.75718 + 1.56551i
\(13\) 3.62264 3.90427i 1.00474 1.08285i 0.00817904 0.999967i \(-0.497397\pi\)
0.996559 0.0828838i \(-0.0264130\pi\)
\(14\) 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 0.937940 + 0.346798i \(0.112731\pi\)
−0.979151 + 0.203132i \(0.934888\pi\)
\(18\) −5.51039 5.47693i −1.29881 1.29093i
\(19\) 0.908718 0.524648i 0.208474 0.120363i −0.392128 0.919911i \(-0.628261\pi\)
0.600602 + 0.799548i \(0.294928\pi\)
\(20\) −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 −0.968752 0.248032i \(-0.920216\pi\)
0.797926 + 0.602755i \(0.205931\pi\)
\(24\) 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 0.100325 + 0.994955i \(0.468012\pi\)
−0.962830 + 0.270108i \(0.912941\pi\)
\(30\) 12.5264 + 9.58156i 2.28699 + 1.74935i
\(31\) 4.78493 2.76258i 0.859399 0.496174i −0.00441186 0.999990i \(-0.501404\pi\)
0.863811 + 0.503816i \(0.168071\pi\)
\(32\) −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 0.753053 0.657960i \(-0.228580\pi\)
−0.337356 + 0.941377i \(0.609533\pi\)
\(38\) 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 0.898080 0.439832i \(-0.144962\pi\)
−0.957501 + 0.288430i \(0.906867\pi\)
\(42\) −11.2985 3.63138i −1.74339 0.560334i
\(43\) 1.79260 4.56748i 0.273369 0.696534i −0.726586 0.687076i \(-0.758894\pi\)
0.999955 0.00945833i \(-0.00301072\pi\)
\(44\) −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 0.994800 0.101848i \(-0.0324756\pi\)
−0.0272221 + 0.999629i \(0.508666\pi\)
\(48\) 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 0.920507 0.390727i \(-0.127776\pi\)
−0.700016 + 0.714127i \(0.746824\pi\)
\(54\) 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 0.282836 + 0.959168i \(0.408725\pi\)
−0.859734 + 0.510743i \(0.829371\pi\)
\(60\) 28.2506 4.84423i 3.64713 0.625387i
\(61\) 15.4383 + 1.15694i 1.97667 + 0.148131i 0.998279 0.0586376i \(-0.0186756\pi\)
0.978390 + 0.206768i \(0.0662947\pi\)
\(62\) 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 0.987235 + 0.159269i \(0.0509137\pi\)
−0.355687 + 0.934605i \(0.615753\pi\)
\(68\) 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 −0.777421 0.628980i \(-0.783473\pi\)
0.976471 + 0.215649i \(0.0691868\pi\)
\(72\) −13.6688 + 15.9817i −1.61089 + 1.88346i
\(73\) −0.764071 + 2.47706i −0.0894278 + 0.289918i −0.989228 0.146385i \(-0.953236\pi\)
0.899800 + 0.436303i \(0.143712\pi\)
\(74\) 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 −0.912823 0.408355i \(-0.866103\pi\)
0.810057 + 0.586351i \(0.199436\pi\)
\(80\) −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 −0.251353 0.967896i \(-0.580875\pi\)
0.946406 + 0.322981i \(0.104685\pi\)
\(84\) −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 −0.704073 0.710127i \(-0.748637\pi\)
0.655526 + 0.755172i \(0.272447\pi\)
\(90\) −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 −0.381538 0.924353i \(-0.624605\pi\)
0.609744 + 0.792598i \(0.291272\pi\)
\(98\) −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 0.0715383 + 0.997438i \(0.477209\pi\)
−0.988349 + 0.152206i \(0.951362\pi\)
\(102\) −10.1840 0.556370i −1.00837 0.0550888i
\(103\) −7.19961 5.74150i −0.709399 0.565727i 0.200933 0.979605i \(-0.435603\pi\)
−0.910332 + 0.413878i \(0.864174\pi\)
\(104\) −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 −0.853723 0.520728i \(-0.825661\pi\)
−0.455473 0.890249i \(-0.650530\pi\)
\(108\) 16.8868 17.6915i 1.62494 1.70237i
\(109\) 11.6516 + 10.8111i 1.11602 + 1.03551i 0.999102 + 0.0423706i \(0.0134910\pi\)
0.116915 + 0.993142i \(0.462699\pi\)
\(110\) −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 −0.817971 0.575260i \(-0.804901\pi\)
0.999895 0.0145225i \(-0.00462283\pi\)
\(114\) 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 −0.798467 0.602039i \(-0.794355\pi\)
−0.0271433 + 0.999632i \(0.508641\pi\)
\(128\) −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 0.735144 0.677911i \(-0.237114\pi\)
−0.824499 + 0.565863i \(0.808543\pi\)
\(132\) −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 −0.729413 0.684073i \(-0.760207\pi\)
0.504613 + 0.863346i \(0.331635\pi\)
\(138\) −7.70358 3.51976i −0.655772 0.299622i
\(139\) −10.1970 + 4.00204i −0.864900 + 0.339448i −0.755974 0.654602i \(-0.772836\pi\)
−0.108926 + 0.994050i \(0.534741\pi\)
\(140\) 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 0.332261 0.943187i \(-0.392188\pi\)
−0.109876 + 0.993945i \(0.535046\pi\)
\(150\) 32.0371 7.99713i 2.61582 0.652963i
\(151\) −15.0627 7.25382i −1.22579 0.590307i −0.294869 0.955538i \(-0.595276\pi\)
−0.930917 + 0.365230i \(0.880990\pi\)
\(152\) −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 −0.337591 0.941293i \(-0.609612\pi\)
−0.887714 + 0.460396i \(0.847707\pi\)
\(158\) 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 −0.769097 0.639132i \(-0.779294\pi\)
0.998508 + 0.0546024i \(0.0173891\pi\)
\(164\) −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 0.852642 + 0.522495i \(0.174999\pi\)
−0.920993 + 0.389579i \(0.872620\pi\)
\(168\) −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 −0.365445 0.930833i \(-0.619083\pi\)
0.732976 + 0.680255i \(0.238131\pi\)
\(174\) −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 0.0881830 0.996104i \(-0.471894\pi\)
−0.0612636 + 0.998122i \(0.519513\pi\)
\(180\) −29.3588 + 40.0343i −2.18827 + 2.98398i
\(181\) −18.0102 + 4.11072i −1.33869 + 0.305547i −0.831134 0.556072i \(-0.812308\pi\)
−0.507555 + 0.861619i \(0.669451\pi\)
\(182\) 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 −0.784771 + 0.619785i \(0.787220\pi\)
−0.996839 + 0.0794455i \(0.974685\pi\)
\(192\) −7.00767 4.57296i −0.505735 0.330025i
\(193\) 0.903194 + 0.136135i 0.0650133 + 0.00979919i 0.181468 0.983397i \(-0.441915\pi\)
−0.116455 + 0.993196i \(0.537153\pi\)
\(194\) 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 \(0.0270001\pi\)
−0.996405 + 0.0847217i \(0.973000\pi\)
\(198\) 12.2898 + 19.4275i 0.873398 + 1.38066i
\(199\) 9.52133 3.73685i 0.674949 0.264898i −0.00301238 0.999995i \(-0.500959\pi\)
0.677961 + 0.735097i \(0.262864\pi\)
\(200\) −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 0.0930077 0.995665i \(-0.470352\pi\)
−0.484032 + 0.875050i \(0.660828\pi\)
\(212\) 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 0.242659 0.970112i \(-0.421981\pi\)
0.384536 + 0.923110i \(0.374362\pi\)
\(224\) −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 −0.810633 0.585554i \(-0.800877\pi\)
0.390490 + 0.920607i \(0.372306\pi\)
\(230\) 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 0.182740 + 0.983161i \(0.441503\pi\)
−0.981961 + 0.189081i \(0.939449\pi\)
\(234\) −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 0.990376 0.138401i \(-0.0441961\pi\)
−0.987171 + 0.159667i \(0.948958\pi\)
\(240\) −12.8907 51.6413i −0.832094 3.33343i
\(241\) 11.8755 24.6598i 0.764970 1.58848i −0.0428731 0.999081i \(-0.513651\pi\)
0.807844 0.589397i \(-0.200635\pi\)
\(242\) −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 0.960904 0.276881i \(-0.0893007\pi\)
−0.483760 + 0.875201i \(0.660729\pi\)
\(252\) 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 −0.320247 0.947334i \(-0.603766\pi\)
0.540985 + 0.841032i \(0.318052\pi\)
\(258\) 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 \(-0.720940\pi\)
0.639698 0.768627i \(-0.279060\pi\)
\(264\) −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 0.801213 0.598379i \(-0.204188\pi\)
0.324914 + 0.945744i \(0.394665\pi\)
\(270\) 30.0185 36.5696i 1.82687 2.22556i
\(271\) 12.1320 0.909169i 0.736968 0.0552281i 0.299043 0.954240i \(-0.403333\pi\)
0.437925 + 0.899012i \(0.355714\pi\)
\(272\) −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 −0.354998 0.934867i \(-0.615518\pi\)
0.509571 + 0.860429i \(0.329804\pi\)
\(278\) −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 0.835629 0.549295i \(-0.185104\pi\)
−0.999858 + 0.0168777i \(0.994627\pi\)
\(282\) −27.0009 + 30.3067i −1.60788 + 1.80474i
\(283\) 5.67069 + 18.3839i 0.337087 + 1.09281i 0.952483 + 0.304592i \(0.0985201\pi\)
−0.615396 + 0.788218i \(0.711004\pi\)
\(284\) −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 −0.912247 0.409640i \(-0.865654\pi\)
0.810882 + 0.585209i \(0.198988\pi\)
\(294\) 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 0.543958 0.839112i \(-0.316925\pi\)
0.126012 + 0.992029i \(0.459782\pi\)
\(308\) −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 0.789587 0.613639i \(-0.210295\pi\)
−0.282752 + 0.959193i \(0.591247\pi\)
\(312\) 39.2883 51.3632i 2.22426 2.90787i
\(313\) 18.6658 + 10.7767i 1.05505 + 0.609135i 0.924060 0.382248i \(-0.124850\pi\)
0.130994 + 0.991383i \(0.458183\pi\)
\(314\) −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 0.810192 0.586165i \(-0.199363\pi\)
−0.841642 + 0.540036i \(0.818411\pi\)
\(318\) −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 −0.931057 0.364874i \(-0.881112\pi\)
0.975039 0.222032i \(-0.0712689\pi\)
\(332\) −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 −0.0784674 0.996917i \(-0.525003\pi\)
0.218865 + 0.975755i \(0.429765\pi\)
\(338\) −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 0.248185 0.968713i \(-0.420166\pi\)
0.389792 + 0.920903i \(0.372547\pi\)
\(348\) −65.2177 + 16.2797i −3.49604 + 0.872684i
\(349\) −1.83946 0.721934i −0.0984639 0.0386442i 0.315598 0.948893i \(-0.397795\pi\)
−0.414062 + 0.910249i \(0.635890\pi\)
\(350\) 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 0.371797 0.928314i \(-0.378742\pi\)
−0.987772 + 0.155906i \(0.950170\pi\)
\(354\) −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 0.396671 0.917961i \(-0.370165\pi\)
−0.333592 + 0.942718i \(0.608261\pi\)
\(360\) 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 −0.605121 0.796134i \(-0.706875\pi\)
−0.199765 + 0.979844i \(0.564018\pi\)
\(368\) 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 −0.977848 0.209317i \(-0.932876\pi\)
0.971830 + 0.235684i \(0.0757331\pi\)
\(380\) −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 −0.994811 0.101736i \(-0.967560\pi\)
0.852153 0.523293i \(-0.175297\pi\)
\(384\) 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 0.851269 0.524729i \(-0.175833\pi\)
−0.322148 + 0.946689i \(0.604405\pi\)
\(390\) 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 −0.920014 0.391885i \(-0.871823\pi\)
0.994651 0.103295i \(-0.0329387\pi\)
\(398\) 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 −0.179762 0.983710i \(-0.557533\pi\)
0.264856 + 0.964288i \(0.414676\pi\)
\(402\) −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 −0.233872 0.972267i \(-0.575140\pi\)
0.990501 0.137504i \(-0.0439079\pi\)
\(410\) −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 −0.387036 + 0.922065i \(0.626501\pi\)
−0.999726 + 0.0234135i \(0.992547\pi\)
\(420\) −12.1849 + 74.8496i −0.594563 + 3.65228i
\(421\) 6.25323 + 4.26338i 0.304764 + 0.207785i 0.706039 0.708173i \(-0.250480\pi\)
−0.401275 + 0.915958i \(0.631433\pi\)
\(422\) −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 −0.950920 0.309436i \(-0.899860\pi\)
0.817466 0.575978i \(-0.195378\pi\)
\(432\) −35.1040 28.8155i −1.68894 1.38638i
\(433\) −8.94830 7.13603i −0.430028 0.342936i 0.384434 0.923152i \(-0.374397\pi\)
−0.814462 + 0.580216i \(0.802968\pi\)
\(434\) 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 −0.954850 0.297088i \(-0.903985\pi\)
0.367613 + 0.929979i \(0.380175\pi\)
\(440\) 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 −0.412605 0.910910i \(-0.635381\pi\)
0.939197 + 0.343379i \(0.111572\pi\)
\(444\) 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 0.993432 0.114421i \(-0.0365012\pi\)
0.109507 + 0.993986i \(0.465073\pi\)
\(450\) −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 −0.127774 0.991803i \(-0.540783\pi\)
0.170242 + 0.985402i \(0.445545\pi\)
\(458\) −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 0.946401 0.322993i \(-0.104689\pi\)
0.0450934 + 0.998983i \(0.485641\pi\)
\(462\) 30.2020 + 17.9146i 1.40512 + 0.833464i
\(463\) 5.15855 3.51704i 0.239738 0.163451i −0.437491 0.899223i \(-0.644133\pi\)
0.677229 + 0.735772i \(0.263181\pi\)
\(464\) 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 −0.998075 0.0620251i \(-0.980244\pi\)
0.977683 0.210088i \(-0.0673749\pi\)
\(468\) −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 0.855989 + 0.516995i \(0.172949\pi\)
−0.995535 + 0.0943964i \(0.969908\pi\)
\(480\) −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 0.848245 + 0.529604i \(0.177659\pi\)
−0.261585 + 0.965180i \(0.584245\pi\)
\(488\) −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 −0.411839 0.911257i \(-0.635113\pi\)
−0.995091 + 0.0989653i \(0.968447\pi\)
\(492\) 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 0.983431 + 0.181285i \(0.0580257\pi\)
−0.807384 + 0.590027i \(0.799117\pi\)
\(500\) −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 −0.737279 0.675588i \(-0.763890\pi\)
0.957392 0.288790i \(-0.0932531\pi\)
\(504\) −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 −0.762877 0.646543i \(-0.776214\pi\)
0.941362 + 0.337399i \(0.109547\pi\)
\(522\) 62.9063 12.1010i 2.75333 0.529648i
\(523\) −31.5484 12.3818i −1.37952 0.541420i −0.444421 0.895818i \(-0.646591\pi\)
−0.935095 + 0.354398i \(0.884686\pi\)
\(524\) −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 −0.162099 0.986775i \(-0.551826\pi\)
0.421938 + 0.906625i \(0.361350\pi\)
\(542\) 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 0.500854 0.865532i \(-0.333019\pi\)
0.223483 + 0.974708i \(0.428257\pi\)
\(548\) 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 0.623072 0.782165i \(-0.285884\pi\)
−0.365839 + 0.930678i \(0.619218\pi\)
\(558\) −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 −0.888236 0.459388i \(-0.848069\pi\)
0.391726 + 0.920082i \(0.371878\pi\)
\(564\) 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 0.241841 0.970316i \(-0.422249\pi\)
−0.719397 + 0.694599i \(0.755582\pi\)
\(570\) 16.4099 + 2.13499i 0.687334 + 0.0894249i
\(571\) 14.4543 + 9.85478i 0.604894 + 0.412410i 0.826669 0.562688i \(-0.190233\pi\)
−0.221775 + 0.975098i \(0.571185\pi\)
\(572\) 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 −0.451822 0.892108i \(-0.649226\pi\)
0.923378 + 0.383891i \(0.125416\pi\)
\(578\) 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 0.702715 0.711472i \(-0.251971\pi\)
−0.967510 + 0.252833i \(0.918638\pi\)
\(588\) −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 −0.577160 0.816631i \(-0.695839\pi\)
−0.792225 + 0.610229i \(0.791077\pi\)
\(594\) −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 −0.999019 0.0442851i \(-0.985899\pi\)
0.800481 0.599357i \(-0.204577\pi\)
\(600\) −28.0665 84.8577i −1.14581 3.46430i
\(601\) −4.60339 14.9238i −0.187776 0.608755i −0.999688 0.0249754i \(-0.992049\pi\)
0.811912 0.583780i \(-0.198427\pi\)
\(602\) 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 \(-0.915739\pi\)
0.965168 0.261632i \(-0.0842606\pi\)
\(608\) −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 −0.217496 0.976061i \(-0.569789\pi\)
−0.729538 + 0.683940i \(0.760265\pi\)
\(614\) 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 −0.818335 0.574741i \(-0.805103\pi\)
−0.894856 + 0.446355i \(0.852722\pi\)
\(618\) 25.0956 32.8086i 1.00949 1.31975i
\(619\) 45.1334i 1.81407i 0.421059 + 0.907033i \(0.361658\pi\)
−0.421059 + 0.907033i \(0.638342\pi\)
\(620\) −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 0.998639 0.0521484i \(-0.0166069\pi\)
−0.273059 + 0.961997i \(0.588035\pi\)
\(632\) 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 0.525802 + 0.850607i \(0.323765\pi\)
−0.992864 + 0.119256i \(0.961949\pi\)
\(642\) 64.2264 62.0570i 2.53482 2.44919i
\(643\) −0.222523 1.47634i −0.00877544 0.0582213i 0.984015 0.178088i \(-0.0569913\pi\)
−0.992790 + 0.119867i \(0.961753\pi\)
\(644\) −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 0.388084 0.921624i \(-0.373137\pi\)
0.642496 + 0.766289i \(0.277899\pi\)
\(648\) 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 −0.984860 0.173349i \(-0.944541\pi\)
−0.0501489 + 0.998742i \(0.515970\pi\)
\(654\) −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 −0.392825 0.919613i \(-0.628502\pi\)
−0.251376 + 0.967890i \(0.580883\pi\)
\(660\) −84.6844 4.62645i −3.29634 0.180084i
\(661\) −6.84195 7.37387i −0.266121 0.286810i 0.585828 0.810436i \(-0.300770\pi\)
−0.851949 + 0.523626i \(0.824579\pi\)
\(662\) −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 −0.424447 0.905453i \(-0.639531\pi\)
0.159365 + 0.987220i \(0.449055\pi\)
\(674\) 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 0.176443 0.984311i \(-0.443541\pi\)
−0.408698 + 0.912670i \(0.634017\pi\)
\(678\) 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 −0.282790 0.959182i \(-0.591260\pi\)
0.445110 + 0.895476i \(0.353165\pi\)
\(684\) −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 −0.573356 0.819306i \(-0.694359\pi\)
0.136970 + 0.990575i \(0.456264\pi\)
\(692\) −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 −0.822852 0.568256i \(-0.807618\pi\)
−0.494807 + 0.869003i \(0.664761\pi\)
\(702\) 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 −0.566985 0.823728i \(-0.691890\pi\)
0.559644 + 0.828733i \(0.310938\pi\)
\(710\) −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 −0.689054 0.724710i \(-0.741974\pi\)
0.998040 0.0625744i \(-0.0199311\pi\)
\(720\) 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 −0.994341 0.106232i \(-0.966121\pi\)
0.981478 + 0.191575i \(0.0613594\pi\)
\(728\) 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 −0.277450 0.960740i \(-0.589489\pi\)
−0.666823 + 0.745216i \(0.732346\pi\)
\(734\) −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 −0.321066 0.947057i \(-0.604041\pi\)
0.764292 + 0.644871i \(0.223089\pi\)
\(740\) −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 0.409681 0.912229i \(-0.365640\pi\)
0.920791 + 0.390057i \(0.127545\pi\)
\(744\) 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 0.999790 + 0.0204808i \(0.00651970\pi\)
−0.202507 + 0.979281i \(0.564909\pi\)
\(752\) −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 0.816327 0.577589i \(-0.196007\pi\)
0.0573942 + 0.998352i \(0.481721\pi\)
\(758\) 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 0.992875 + 0.119158i \(0.0380194\pi\)
0.712209 + 0.701968i \(0.247695\pi\)
\(762\) −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 −0.992999 0.118119i \(-0.962313\pi\)
0.886994 + 0.461782i \(0.152790\pi\)
\(770\) −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