Properties

Label 441.2.bd.a.110.52
Level $441$
Weight $2$
Character 441.110
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 110.52
Character \(\chi\) \(=\) 441.110
Dual form 441.2.bd.a.437.52

$q$-expansion

\(f(q)\) \(=\) \(q+(2.60229 - 0.195015i) q^{2} +(-1.58818 + 0.691152i) q^{3} +(4.75622 - 0.716885i) q^{4} +(-0.564942 - 2.47517i) q^{5} +(-3.99812 + 2.10829i) q^{6} +(1.46081 - 2.20591i) q^{7} +(7.14895 - 1.63170i) q^{8} +(2.04462 - 2.19534i) q^{9} +O(q^{10})\) \(q+(2.60229 - 0.195015i) q^{2} +(-1.58818 + 0.691152i) q^{3} +(4.75622 - 0.716885i) q^{4} +(-0.564942 - 2.47517i) q^{5} +(-3.99812 + 2.10829i) q^{6} +(1.46081 - 2.20591i) q^{7} +(7.14895 - 1.63170i) q^{8} +(2.04462 - 2.19534i) q^{9} +(-1.95284 - 6.33094i) q^{10} +(-0.836003 + 1.73598i) q^{11} +(-7.05825 + 4.42581i) q^{12} +(-6.25756 + 0.468939i) q^{13} +(3.37126 - 6.02530i) q^{14} +(2.60795 + 3.54055i) q^{15} +(9.09293 - 2.80480i) q^{16} +(4.89533 + 0.737852i) q^{17} +(4.89257 - 6.11165i) q^{18} +(6.22673 + 3.59501i) q^{19} +(-4.46140 - 11.3675i) q^{20} +(-0.795401 + 4.51302i) q^{21} +(-1.83698 + 4.68055i) q^{22} +(-2.42163 + 1.93118i) q^{23} +(-10.2260 + 7.53244i) q^{24} +(-1.30247 + 0.627234i) q^{25} +(-16.1925 + 2.44063i) q^{26} +(-1.72990 + 4.89974i) q^{27} +(5.36653 - 11.5390i) q^{28} +(-4.50492 + 1.76805i) q^{29} +(7.47709 + 8.70495i) q^{30} +(1.58116 + 0.912886i) q^{31} +(9.46364 - 3.71421i) q^{32} +(0.127898 - 3.33485i) q^{33} +(12.8830 + 0.965444i) q^{34} +(-6.28528 - 2.36953i) q^{35} +(8.15085 - 11.9073i) q^{36} +(0.637384 + 1.62403i) q^{37} +(16.9048 + 8.14094i) q^{38} +(9.61400 - 5.06968i) q^{39} +(-8.07747 - 16.7730i) q^{40} +(-5.19833 + 4.82334i) q^{41} +(-1.18976 + 11.8993i) q^{42} +(2.51167 + 2.33049i) q^{43} +(-2.73172 + 8.85602i) q^{44} +(-6.58894 - 3.82054i) q^{45} +(-5.92517 + 5.49776i) q^{46} +(-0.676524 - 9.02758i) q^{47} +(-12.5026 + 10.7391i) q^{48} +(-2.73209 - 6.44482i) q^{49} +(-3.26707 + 1.88625i) q^{50} +(-8.28462 + 2.21157i) q^{51} +(-29.4261 + 6.71633i) q^{52} +(-2.80647 - 1.10146i) q^{53} +(-3.54619 + 13.0879i) q^{54} +(4.76914 + 1.08852i) q^{55} +(6.84384 - 18.1535i) q^{56} +(-12.3739 - 1.40589i) q^{57} +(-11.3783 + 5.47950i) q^{58} +(-1.03526 - 0.960578i) q^{59} +(14.9421 + 14.9701i) q^{60} +(-1.94485 + 12.9032i) q^{61} +(4.29268 + 2.06724i) q^{62} +(-1.85594 - 7.71722i) q^{63} +(6.75615 - 3.25359i) q^{64} +(4.69586 + 15.2236i) q^{65} +(-0.317517 - 8.70318i) q^{66} +(1.52929 - 2.64880i) q^{67} +23.8122 q^{68} +(2.51124 - 4.74078i) q^{69} +(-16.8182 - 4.94049i) q^{70} +(-9.12620 + 7.27790i) q^{71} +(11.0347 - 19.0306i) q^{72} +(3.85339 - 5.65188i) q^{73} +(1.97537 + 4.10189i) q^{74} +(1.63503 - 1.89636i) q^{75} +(32.1929 + 12.6348i) q^{76} +(2.60818 + 4.38008i) q^{77} +(24.0298 - 15.0676i) q^{78} +(-2.00311 - 3.46949i) q^{79} +(-12.0793 - 20.9220i) q^{80} +(-0.639065 - 8.97728i) q^{81} +(-12.5869 + 13.5655i) q^{82} +(0.241757 - 3.22602i) q^{83} +(-0.547787 + 22.0351i) q^{84} +(-0.939264 - 12.5336i) q^{85} +(6.99058 + 5.57480i) q^{86} +(5.93262 - 5.92156i) q^{87} +(-3.14395 + 13.7745i) q^{88} +(-0.423211 + 5.64736i) q^{89} +(-17.8914 - 8.65722i) q^{90} +(-8.10664 + 14.4886i) q^{91} +(-10.1334 + 10.9212i) q^{92} +(-3.14211 - 0.357001i) q^{93} +(-3.52102 - 23.3605i) q^{94} +(5.38051 - 17.4432i) q^{95} +(-12.4629 + 12.4396i) q^{96} +(2.32075 + 1.33988i) q^{97} +(-8.36653 - 16.2385i) q^{98} +(2.10176 + 5.38473i) 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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{11}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.60229 0.195015i 1.84010 0.137896i 0.891226 0.453560i \(-0.149846\pi\)
0.948871 + 0.315664i \(0.102227\pi\)
\(3\) −1.58818 + 0.691152i −0.916935 + 0.399037i
\(4\) 4.75622 0.716885i 2.37811 0.358443i
\(5\) −0.564942 2.47517i −0.252650 1.10693i −0.928921 0.370278i \(-0.879263\pi\)
0.676272 0.736652i \(-0.263595\pi\)
\(6\) −3.99812 + 2.10829i −1.63222 + 0.860708i
\(7\) 1.46081 2.20591i 0.552133 0.833756i
\(8\) 7.14895 1.63170i 2.52753 0.576893i
\(9\) 2.04462 2.19534i 0.681540 0.731781i
\(10\) −1.95284 6.33094i −0.617541 2.00202i
\(11\) −0.836003 + 1.73598i −0.252064 + 0.523417i −0.988154 0.153467i \(-0.950956\pi\)
0.736089 + 0.676884i \(0.236670\pi\)
\(12\) −7.05825 + 4.42581i −2.03754 + 1.27762i
\(13\) −6.25756 + 0.468939i −1.73553 + 0.130060i −0.904586 0.426291i \(-0.859820\pi\)
−0.830947 + 0.556351i \(0.812201\pi\)
\(14\) 3.37126 6.02530i 0.901006 1.61033i
\(15\) 2.60795 + 3.54055i 0.673369 + 0.914166i
\(16\) 9.09293 2.80480i 2.27323 0.701199i
\(17\) 4.89533 + 0.737852i 1.18729 + 0.178955i 0.712840 0.701327i \(-0.247409\pi\)
0.474451 + 0.880282i \(0.342647\pi\)
\(18\) 4.89257 6.11165i 1.15319 1.44053i
\(19\) 6.22673 + 3.59501i 1.42851 + 0.824751i 0.997003 0.0773588i \(-0.0246487\pi\)
0.431507 + 0.902110i \(0.357982\pi\)
\(20\) −4.46140 11.3675i −0.997599 2.54184i
\(21\) −0.795401 + 4.51302i −0.173571 + 0.984821i
\(22\) −1.83698 + 4.68055i −0.391646 + 0.997897i
\(23\) −2.42163 + 1.93118i −0.504944 + 0.402680i −0.842558 0.538605i \(-0.818952\pi\)
0.337614 + 0.941285i \(0.390380\pi\)
\(24\) −10.2260 + 7.53244i −2.08738 + 1.53755i
\(25\) −1.30247 + 0.627234i −0.260493 + 0.125447i
\(26\) −16.1925 + 2.44063i −3.17562 + 0.478647i
\(27\) −1.72990 + 4.89974i −0.332920 + 0.942955i
\(28\) 5.36653 11.5390i 1.01418 2.18067i
\(29\) −4.50492 + 1.76805i −0.836542 + 0.328319i −0.744654 0.667451i \(-0.767386\pi\)
−0.0918883 + 0.995769i \(0.529290\pi\)
\(30\) 7.47709 + 8.70495i 1.36512 + 1.58930i
\(31\) 1.58116 + 0.912886i 0.283986 + 0.163959i 0.635226 0.772326i \(-0.280907\pi\)
−0.351241 + 0.936285i \(0.614240\pi\)
\(32\) 9.46364 3.71421i 1.67295 0.656585i
\(33\) 0.127898 3.33485i 0.0222641 0.580523i
\(34\) 12.8830 + 0.965444i 2.20941 + 0.165572i
\(35\) −6.28528 2.36953i −1.06241 0.400524i
\(36\) 8.15085 11.9073i 1.35848 1.98455i
\(37\) 0.637384 + 1.62403i 0.104785 + 0.266988i 0.973645 0.228071i \(-0.0732417\pi\)
−0.868859 + 0.495059i \(0.835146\pi\)
\(38\) 16.9048 + 8.14094i 2.74233 + 1.32064i
\(39\) 9.61400 5.06968i 1.53947 0.811798i
\(40\) −8.07747 16.7730i −1.27716 2.65205i
\(41\) −5.19833 + 4.82334i −0.811842 + 0.753279i −0.972293 0.233764i \(-0.924896\pi\)
0.160451 + 0.987044i \(0.448705\pi\)
\(42\) −1.18976 + 11.8993i −0.183584 + 1.83610i
\(43\) 2.51167 + 2.33049i 0.383026 + 0.355396i 0.848063 0.529895i \(-0.177769\pi\)
−0.465037 + 0.885291i \(0.653959\pi\)
\(44\) −2.73172 + 8.85602i −0.411822 + 1.33509i
\(45\) −6.58894 3.82054i −0.982221 0.569533i
\(46\) −5.92517 + 5.49776i −0.873619 + 0.810600i
\(47\) −0.676524 9.02758i −0.0986811 1.31681i −0.798286 0.602278i \(-0.794260\pi\)
0.699605 0.714530i \(-0.253359\pi\)
\(48\) −12.5026 + 10.7391i −1.80460 + 1.55006i
\(49\) −2.73209 6.44482i −0.390299 0.920688i
\(50\) −3.26707 + 1.88625i −0.462034 + 0.266755i
\(51\) −8.28462 + 2.21157i −1.16008 + 0.309682i
\(52\) −29.4261 + 6.71633i −4.08067 + 0.931387i
\(53\) −2.80647 1.10146i −0.385498 0.151297i 0.164674 0.986348i \(-0.447343\pi\)
−0.550172 + 0.835051i \(0.685438\pi\)
\(54\) −3.54619 + 13.0879i −0.482576 + 1.78104i
\(55\) 4.76914 + 1.08852i 0.643070 + 0.146777i
\(56\) 6.84384 18.1535i 0.914546 2.42587i
\(57\) −12.3739 1.40589i −1.63896 0.186215i
\(58\) −11.3783 + 5.47950i −1.49405 + 0.719494i
\(59\) −1.03526 0.960578i −0.134779 0.125057i 0.609903 0.792476i \(-0.291208\pi\)
−0.744682 + 0.667419i \(0.767399\pi\)
\(60\) 14.9421 + 14.9701i 1.92902 + 1.93263i
\(61\) −1.94485 + 12.9032i −0.249012 + 1.65209i 0.419036 + 0.907969i \(0.362368\pi\)
−0.668048 + 0.744118i \(0.732870\pi\)
\(62\) 4.29268 + 2.06724i 0.545170 + 0.262540i
\(63\) −1.85594 7.71722i −0.233827 0.972278i
\(64\) 6.75615 3.25359i 0.844519 0.406699i
\(65\) 4.69586 + 15.2236i 0.582449 + 1.88825i
\(66\) −0.317517 8.70318i −0.0390837 1.07129i
\(67\) 1.52929 2.64880i 0.186832 0.323602i −0.757360 0.652997i \(-0.773511\pi\)
0.944192 + 0.329395i \(0.106845\pi\)
\(68\) 23.8122 2.88765
\(69\) 2.51124 4.74078i 0.302317 0.570722i
\(70\) −16.8182 4.94049i −2.01016 0.590502i
\(71\) −9.12620 + 7.27790i −1.08308 + 0.863728i −0.991244 0.132046i \(-0.957845\pi\)
−0.0918367 + 0.995774i \(0.529274\pi\)
\(72\) 11.0347 19.0306i 1.30046 2.24278i
\(73\) 3.85339 5.65188i 0.451005 0.661503i −0.531646 0.846967i \(-0.678426\pi\)
0.982651 + 0.185464i \(0.0593788\pi\)
\(74\) 1.97537 + 4.10189i 0.229632 + 0.476835i
\(75\) 1.63503 1.89636i 0.188797 0.218973i
\(76\) 32.1929 + 12.6348i 3.69278 + 1.44931i
\(77\) 2.60818 + 4.38008i 0.297229 + 0.499156i
\(78\) 24.0298 15.0676i 2.72084 1.70607i
\(79\) −2.00311 3.46949i −0.225367 0.390348i 0.731062 0.682311i \(-0.239025\pi\)
−0.956430 + 0.291963i \(0.905692\pi\)
\(80\) −12.0793 20.9220i −1.35051 2.33915i
\(81\) −0.639065 8.97728i −0.0710072 0.997476i
\(82\) −12.5869 + 13.5655i −1.38999 + 1.49806i
\(83\) 0.241757 3.22602i 0.0265363 0.354102i −0.968092 0.250594i \(-0.919374\pi\)
0.994629 0.103508i \(-0.0330068\pi\)
\(84\) −0.547787 + 22.0351i −0.0597685 + 2.40423i
\(85\) −0.939264 12.5336i −0.101878 1.35946i
\(86\) 6.99058 + 5.57480i 0.753813 + 0.601146i
\(87\) 5.93262 5.92156i 0.636044 0.634858i
\(88\) −3.14395 + 13.7745i −0.335146 + 1.46837i
\(89\) −0.423211 + 5.64736i −0.0448603 + 0.598619i 0.928795 + 0.370594i \(0.120846\pi\)
−0.973655 + 0.228025i \(0.926773\pi\)
\(90\) −17.8914 8.65722i −1.88592 0.912551i
\(91\) −8.10664 + 14.4886i −0.849806 + 1.51882i
\(92\) −10.1334 + 10.9212i −1.05648 + 1.13861i
\(93\) −3.14211 0.357001i −0.325822 0.0370193i
\(94\) −3.52102 23.3605i −0.363166 2.40945i
\(95\) 5.38051 17.4432i 0.552029 1.78963i
\(96\) −12.4629 + 12.4396i −1.27199 + 1.26961i
\(97\) 2.32075 + 1.33988i 0.235636 + 0.136045i 0.613169 0.789951i \(-0.289894\pi\)
−0.377533 + 0.925996i \(0.623228\pi\)
\(98\) −8.36653 16.2385i −0.845147 1.64033i
\(99\) 2.10176 + 5.38473i 0.211235 + 0.541186i
\(100\) −5.74516 + 3.91698i −0.574516 + 0.391698i
\(101\) 0.0177944 + 0.0779626i 0.00177061 + 0.00775756i 0.975806 0.218640i \(-0.0701622\pi\)
−0.974035 + 0.226398i \(0.927305\pi\)
\(102\) −21.1277 + 7.37077i −2.09195 + 0.729815i
\(103\) 15.8948 3.62789i 1.56616 0.357467i 0.650531 0.759480i \(-0.274547\pi\)
0.915634 + 0.402013i \(0.131689\pi\)
\(104\) −43.9698 + 13.5629i −4.31159 + 1.32995i
\(105\) 11.6198 0.580839i 1.13398 0.0566841i
\(106\) −7.51804 2.31901i −0.730216 0.225242i
\(107\) 4.16091 + 0.311817i 0.402250 + 0.0301445i 0.274319 0.961639i \(-0.411547\pi\)
0.127931 + 0.991783i \(0.459167\pi\)
\(108\) −4.71526 + 24.5444i −0.453726 + 2.36178i
\(109\) 0.0553975 + 0.739228i 0.00530612 + 0.0708052i 0.999228 0.0392804i \(-0.0125066\pi\)
−0.993922 + 0.110086i \(0.964888\pi\)
\(110\) 12.6230 + 1.90260i 1.20355 + 0.181406i
\(111\) −2.13473 2.13872i −0.202619 0.202998i
\(112\) 7.09587 24.1555i 0.670496 2.28248i
\(113\) 1.57333 2.30765i 0.148006 0.217085i −0.745075 0.666981i \(-0.767586\pi\)
0.893081 + 0.449895i \(0.148539\pi\)
\(114\) −32.4745 1.24546i −3.04152 0.116648i
\(115\) 6.14809 + 4.90294i 0.573312 + 0.457201i
\(116\) −20.1589 + 11.6387i −1.87171 + 1.08063i
\(117\) −11.7648 + 14.6963i −1.08766 + 1.35867i
\(118\) −2.88137 2.29781i −0.265251 0.211531i
\(119\) 8.77876 9.72080i 0.804747 0.891104i
\(120\) 24.4212 + 21.0558i 2.22934 + 1.92213i
\(121\) 4.54367 + 5.69758i 0.413061 + 0.517962i
\(122\) −2.54474 + 33.9572i −0.230390 + 3.07434i
\(123\) 4.92221 11.2532i 0.443820 1.01466i
\(124\) 8.17480 + 3.20837i 0.734119 + 0.288120i
\(125\) −5.62633 7.05519i −0.503234 0.631035i
\(126\) −6.33467 19.7205i −0.564337 1.75684i
\(127\) 12.6039 15.8048i 1.11841 1.40245i 0.213452 0.976953i \(-0.431529\pi\)
0.904962 0.425493i \(-0.139899\pi\)
\(128\) −0.661767 + 0.382072i −0.0584925 + 0.0337707i
\(129\) −5.59970 1.96529i −0.493026 0.173034i
\(130\) 15.1888 + 38.7004i 1.33215 + 3.39425i
\(131\) 1.67115 7.32177i 0.146009 0.639706i −0.847962 0.530057i \(-0.822170\pi\)
0.993970 0.109648i \(-0.0349725\pi\)
\(132\) −1.78239 15.9530i −0.155137 1.38853i
\(133\) 17.0263 8.48402i 1.47637 0.735657i
\(134\) 3.46309 7.19118i 0.299165 0.621223i
\(135\) 13.1050 + 1.51374i 1.12790 + 0.130282i
\(136\) 36.2004 2.71284i 3.10416 0.232624i
\(137\) −12.5079 2.85484i −1.06862 0.243905i −0.348183 0.937427i \(-0.613201\pi\)
−0.720436 + 0.693521i \(0.756058\pi\)
\(138\) 5.61045 12.8266i 0.477593 1.09187i
\(139\) −2.61503 2.81833i −0.221804 0.239048i 0.612340 0.790594i \(-0.290228\pi\)
−0.834144 + 0.551547i \(0.814038\pi\)
\(140\) −31.5929 6.76420i −2.67008 0.571679i
\(141\) 7.31387 + 13.8698i 0.615939 + 1.16805i
\(142\) −22.3297 + 20.7189i −1.87387 + 1.73870i
\(143\) 4.41727 11.2550i 0.369391 0.941192i
\(144\) 12.4341 25.6968i 1.03617 2.14140i
\(145\) 6.92124 + 10.1516i 0.574778 + 0.843044i
\(146\) 8.92543 15.4593i 0.738674 1.27942i
\(147\) 8.79339 + 8.34723i 0.725267 + 0.688468i
\(148\) 4.19578 + 7.26730i 0.344891 + 0.597369i
\(149\) 4.83377 10.0374i 0.395998 0.822298i −0.603687 0.797221i \(-0.706303\pi\)
0.999686 0.0250774i \(-0.00798321\pi\)
\(150\) 3.88501 5.25374i 0.317210 0.428966i
\(151\) −1.00778 1.26371i −0.0820116 0.102839i 0.739133 0.673560i \(-0.235236\pi\)
−0.821145 + 0.570720i \(0.806664\pi\)
\(152\) 50.3806 + 15.5403i 4.08640 + 1.26049i
\(153\) 11.6289 9.23830i 0.940142 0.746872i
\(154\) 7.64141 + 10.8896i 0.615763 + 0.877509i
\(155\) 1.36628 4.42938i 0.109742 0.355776i
\(156\) 42.0920 31.0046i 3.37005 2.48236i
\(157\) −12.5625 + 13.5392i −1.00260 + 1.08054i −0.00584656 + 0.999983i \(0.501861\pi\)
−0.996750 + 0.0805590i \(0.974329\pi\)
\(158\) −5.88927 8.63798i −0.468525 0.687200i
\(159\) 5.21844 0.190384i 0.413849 0.0150984i
\(160\) −14.5397 21.3258i −1.14946 1.68595i
\(161\) 0.722493 + 8.16298i 0.0569404 + 0.643333i
\(162\) −3.41373 23.2369i −0.268208 1.82566i
\(163\) 12.1358 + 11.2604i 0.950551 + 0.881982i 0.993119 0.117111i \(-0.0373634\pi\)
−0.0425679 + 0.999094i \(0.513554\pi\)
\(164\) −21.2666 + 26.6675i −1.66064 + 2.08238i
\(165\) −8.32657 + 1.56743i −0.648223 + 0.122024i
\(166\) 8.44220i 0.655242i
\(167\) −16.3533 2.46487i −1.26546 0.190737i −0.518193 0.855264i \(-0.673395\pi\)
−0.747265 + 0.664526i \(0.768633\pi\)
\(168\) 1.67762 + 33.5612i 0.129431 + 2.58930i
\(169\) 26.0823 3.93127i 2.00633 0.302406i
\(170\) −4.88848 32.4329i −0.374929 2.48749i
\(171\) 20.6236 6.31940i 1.57712 0.483256i
\(172\) 13.6168 + 9.28375i 1.03827 + 0.707879i
\(173\) −3.66684 + 9.34296i −0.278785 + 0.710332i 0.721063 + 0.692870i \(0.243654\pi\)
−0.999848 + 0.0174622i \(0.994441\pi\)
\(174\) 14.2836 16.5666i 1.08284 1.25591i
\(175\) −0.519026 + 3.78939i −0.0392347 + 0.286451i
\(176\) −2.73265 + 18.1299i −0.205981 + 1.36660i
\(177\) 2.30808 + 0.810050i 0.173486 + 0.0608871i
\(178\) 14.7786i 1.10770i
\(179\) −0.395423 + 2.62346i −0.0295553 + 0.196087i −0.998736 0.0502645i \(-0.983994\pi\)
0.969181 + 0.246351i \(0.0792317\pi\)
\(180\) −34.0773 13.4478i −2.53998 1.00234i
\(181\) −3.17461 6.59214i −0.235967 0.489990i 0.749036 0.662529i \(-0.230517\pi\)
−0.985003 + 0.172540i \(0.944803\pi\)
\(182\) −18.2703 + 39.2846i −1.35429 + 2.91197i
\(183\) −5.82931 21.8368i −0.430915 1.61422i
\(184\) −14.1610 + 17.7573i −1.04396 + 1.30909i
\(185\) 3.65966 2.49511i 0.269064 0.183444i
\(186\) −8.24631 0.316262i −0.604649 0.0231894i
\(187\) −5.37340 + 7.88133i −0.392942 + 0.576340i
\(188\) −9.68944 42.4522i −0.706675 3.09614i
\(189\) 8.28133 + 10.9736i 0.602378 + 0.798211i
\(190\) 10.6000 46.4415i 0.769003 3.36922i
\(191\) −6.43747 6.93795i −0.465799 0.502012i 0.455839 0.890062i \(-0.349339\pi\)
−0.921638 + 0.388050i \(0.873149\pi\)
\(192\) −8.48125 + 9.83680i −0.612081 + 0.709910i
\(193\) −21.5151 6.63652i −1.54869 0.477707i −0.601632 0.798774i \(-0.705482\pi\)
−0.947057 + 0.321067i \(0.895959\pi\)
\(194\) 6.30055 + 3.03419i 0.452353 + 0.217842i
\(195\) −17.9797 20.9322i −1.28755 1.49899i
\(196\) −17.6146 28.6944i −1.25819 2.04960i
\(197\) 8.53046i 0.607770i −0.952709 0.303885i \(-0.901716\pi\)
0.952709 0.303885i \(-0.0982839\pi\)
\(198\) 6.51949 + 13.6028i 0.463320 + 0.966706i
\(199\) 3.95037 + 4.25749i 0.280034 + 0.301805i 0.857369 0.514702i \(-0.172098\pi\)
−0.577334 + 0.816508i \(0.695907\pi\)
\(200\) −8.28780 + 6.60930i −0.586036 + 0.467348i
\(201\) −0.598055 + 5.26373i −0.0421836 + 0.371275i
\(202\) 0.0615102 + 0.199411i 0.00432784 + 0.0140305i
\(203\) −2.68065 + 12.5202i −0.188145 + 0.878748i
\(204\) −37.8180 + 16.4578i −2.64779 + 1.15228i
\(205\) 14.8753 + 10.1418i 1.03894 + 0.708337i
\(206\) 40.6555 12.5406i 2.83260 0.873742i
\(207\) −0.711696 + 9.26484i −0.0494663 + 0.643951i
\(208\) −55.5842 + 21.8152i −3.85407 + 1.51261i
\(209\) −11.4464 + 7.80404i −0.791765 + 0.539817i
\(210\) 30.1249 3.77755i 2.07882 0.260676i
\(211\) 4.89376 + 3.33651i 0.336900 + 0.229695i 0.719939 0.694038i \(-0.244170\pi\)
−0.383038 + 0.923732i \(0.625122\pi\)
\(212\) −14.1378 3.22686i −0.970987 0.221622i
\(213\) 9.46389 17.8662i 0.648455 1.22417i
\(214\) 10.8887 0.744336
\(215\) 4.34941 7.53340i 0.296627 0.513774i
\(216\) −4.37209 + 37.8507i −0.297483 + 2.57541i
\(217\) 4.32352 2.15436i 0.293500 0.146248i
\(218\) 0.288321 + 1.91288i 0.0195275 + 0.129557i
\(219\) −2.21356 + 11.6395i −0.149578 + 0.786522i
\(220\) 23.4634 + 1.75834i 1.58190 + 0.118547i
\(221\) −30.9788 2.32154i −2.08386 0.156164i
\(222\) −5.97226 5.14926i −0.400832 0.345595i
\(223\) 3.60753 + 23.9344i 0.241578 + 1.60277i 0.700074 + 0.714071i \(0.253151\pi\)
−0.458495 + 0.888697i \(0.651611\pi\)
\(224\) 5.63133 26.3017i 0.376259 1.75736i
\(225\) −1.28605 + 4.14182i −0.0857368 + 0.276121i
\(226\) 3.64423 6.31199i 0.242411 0.419867i
\(227\) 20.2341 1.34299 0.671494 0.741010i \(-0.265653\pi\)
0.671494 + 0.741010i \(0.265653\pi\)
\(228\) −59.8607 + 2.18389i −3.96437 + 0.144632i
\(229\) −6.54663 1.49423i −0.432614 0.0987413i 0.000668047 1.00000i \(-0.499787\pi\)
−0.433282 + 0.901259i \(0.642644\pi\)
\(230\) 16.9553 + 11.5599i 1.11800 + 0.762237i
\(231\) −7.16955 5.15370i −0.471721 0.339088i
\(232\) −29.3205 + 19.9904i −1.92498 + 1.31243i
\(233\) −18.8575 + 7.40103i −1.23540 + 0.484857i −0.891016 0.453973i \(-0.850006\pi\)
−0.344381 + 0.938830i \(0.611911\pi\)
\(234\) −27.7495 + 40.5383i −1.81404 + 2.65007i
\(235\) −21.9626 + 6.77457i −1.43268 + 0.441924i
\(236\) −5.61254 3.82656i −0.365345 0.249088i
\(237\) 5.57923 + 4.12571i 0.362410 + 0.267994i
\(238\) 20.9492 27.0083i 1.35793 1.75069i
\(239\) 2.88637 + 9.35737i 0.186704 + 0.605278i 0.999734 + 0.0230572i \(0.00733997\pi\)
−0.813031 + 0.582221i \(0.802184\pi\)
\(240\) 33.6444 + 24.8792i 2.17174 + 1.60595i
\(241\) 5.04070 4.01982i 0.324700 0.258940i −0.447549 0.894259i \(-0.647703\pi\)
0.772249 + 0.635320i \(0.219132\pi\)
\(242\) 12.9351 + 13.9407i 0.831497 + 0.896140i
\(243\) 7.21961 + 13.8158i 0.463138 + 0.886286i
\(244\) 62.7648i 4.01810i
\(245\) −14.4086 + 10.4033i −0.920528 + 0.664645i
\(246\) 10.6145 30.2439i 0.676755 1.92828i
\(247\) −40.6500 19.5760i −2.58649 1.24559i
\(248\) 12.7932 + 3.94619i 0.812370 + 0.250583i
\(249\) 1.84572 + 5.29059i 0.116968 + 0.335278i
\(250\) −16.0172 17.2624i −1.01302 1.09177i
\(251\) 2.93205 12.8461i 0.185069 0.810842i −0.794099 0.607789i \(-0.792057\pi\)
0.979168 0.203053i \(-0.0650862\pi\)
\(252\) −14.3596 35.3743i −0.904572 2.22837i
\(253\) −1.32801 5.81837i −0.0834910 0.365798i
\(254\) 29.7168 43.5865i 1.86460 2.73486i
\(255\) 10.1543 + 19.2564i 0.635890 + 1.20588i
\(256\) −14.0391 + 9.57172i −0.877446 + 0.598233i
\(257\) 4.96157 6.22161i 0.309494 0.388093i −0.602621 0.798028i \(-0.705877\pi\)
0.912115 + 0.409934i \(0.134448\pi\)
\(258\) −14.9553 4.02223i −0.931077 0.250413i
\(259\) 4.51356 + 0.966377i 0.280459 + 0.0600477i
\(260\) 33.2481 + 69.0404i 2.06196 + 4.28170i
\(261\) −5.32937 + 13.5048i −0.329879 + 0.835928i
\(262\) 2.92095 19.3793i 0.180457 1.19726i
\(263\) 3.83489i 0.236469i −0.992986 0.118235i \(-0.962277\pi\)
0.992986 0.118235i \(-0.0377235\pi\)
\(264\) −4.52714 24.0493i −0.278626 1.48013i
\(265\) −1.14080 + 7.56874i −0.0700790 + 0.464944i
\(266\) 42.6529 25.3983i 2.61522 1.55727i
\(267\) −3.23105 9.26152i −0.197737 0.566796i
\(268\) 5.37474 13.6946i 0.328314 0.836531i
\(269\) −23.6310 16.1113i −1.44081 0.982325i −0.996245 0.0865755i \(-0.972408\pi\)
−0.444560 0.895749i \(-0.646640\pi\)
\(270\) 34.3982 + 1.38354i 2.09341 + 0.0841993i
\(271\) −3.77216 25.0266i −0.229142 1.52026i −0.747018 0.664804i \(-0.768515\pi\)
0.517876 0.855456i \(-0.326723\pi\)
\(272\) 46.5824 7.02116i 2.82447 0.425720i
\(273\) 2.86093 28.6135i 0.173152 1.73177i
\(274\) −33.1058 4.98990i −2.00000 0.301451i
\(275\) 2.78542i 0.167967i
\(276\) 8.54541 24.3485i 0.514373 1.46560i
\(277\) 4.75139 5.95805i 0.285483 0.357985i −0.618325 0.785923i \(-0.712188\pi\)
0.903808 + 0.427938i \(0.140760\pi\)
\(278\) −7.35468 6.82415i −0.441105 0.409285i
\(279\) 5.23698 1.60470i 0.313530 0.0960706i
\(280\) −48.7995 6.68397i −2.91633 0.399444i
\(281\) 1.61755 + 2.37252i 0.0964952 + 0.141532i 0.871450 0.490484i \(-0.163180\pi\)
−0.774955 + 0.632016i \(0.782228\pi\)
\(282\) 21.7376 + 34.6670i 1.29446 + 2.06439i
\(283\) −14.5730 21.3747i −0.866277 1.27060i −0.961407 0.275131i \(-0.911279\pi\)
0.0951294 0.995465i \(-0.469674\pi\)
\(284\) −38.1888 + 41.1577i −2.26609 + 2.44226i
\(285\) 3.51068 + 31.4216i 0.207955 + 1.86126i
\(286\) 9.30012 30.1503i 0.549928 1.78282i
\(287\) 3.04612 + 18.5130i 0.179807 + 1.09279i
\(288\) 11.1956 28.3701i 0.659706 1.67172i
\(289\) 7.17505 + 2.21321i 0.422062 + 0.130189i
\(290\) 19.9908 + 25.0677i 1.17390 + 1.47202i
\(291\) −4.61182 0.523986i −0.270350 0.0307166i
\(292\) 14.2758 29.6440i 0.835429 1.73479i
\(293\) 9.64356 + 16.7031i 0.563383 + 0.975807i 0.997198 + 0.0748057i \(0.0238337\pi\)
−0.433815 + 0.901002i \(0.642833\pi\)
\(294\) 24.5108 + 20.0071i 1.42950 + 1.16684i
\(295\) −1.79273 + 3.10511i −0.104377 + 0.180786i
\(296\) 7.20655 + 10.5701i 0.418872 + 0.614373i
\(297\) −7.05963 7.09927i −0.409642 0.411942i
\(298\) 10.6214 27.0630i 0.615283 1.56772i
\(299\) 14.2479 13.2201i 0.823975 0.764538i
\(300\) 6.41711 10.1916i 0.370492 0.588415i
\(301\) 8.80992 2.13613i 0.507795 0.123124i
\(302\) −2.86897 3.09201i −0.165090 0.177925i
\(303\) −0.0821447 0.111520i −0.00471909 0.00640664i
\(304\) 66.7025 + 15.2244i 3.82565 + 0.873179i
\(305\) 33.0364 2.47573i 1.89166 0.141760i
\(306\) 28.4602 26.3085i 1.62696 1.50396i
\(307\) 7.55153 15.6809i 0.430988 0.894957i −0.566496 0.824065i \(-0.691701\pi\)
0.997484 0.0708920i \(-0.0225846\pi\)
\(308\) 15.5451 + 18.9629i 0.885763 + 1.08051i
\(309\) −22.7364 + 16.7475i −1.29343 + 0.952731i
\(310\) 2.69167 11.7930i 0.152877 0.669796i
\(311\) −1.85046 4.71490i −0.104930 0.267357i 0.868760 0.495233i \(-0.164917\pi\)
−0.973690 + 0.227876i \(0.926822\pi\)
\(312\) 60.4578 51.9300i 3.42275 2.93996i
\(313\) −4.36156 + 2.51815i −0.246530 + 0.142334i −0.618174 0.786041i \(-0.712127\pi\)
0.371644 + 0.928375i \(0.378794\pi\)
\(314\) −30.0509 + 37.6827i −1.69587 + 2.12656i
\(315\) −18.0529 + 8.95355i −1.01717 + 0.504475i
\(316\) −12.0145 15.0656i −0.675866 0.847509i
\(317\) −1.90370 0.747146i −0.106922 0.0419639i 0.311277 0.950319i \(-0.399243\pi\)
−0.418199 + 0.908355i \(0.637339\pi\)
\(318\) 13.5428 1.51311i 0.759441 0.0848508i
\(319\) 0.696829 9.29854i 0.0390149 0.520618i
\(320\) −11.8700 14.8845i −0.663554 0.832071i
\(321\) −6.82377 + 2.38060i −0.380866 + 0.132872i
\(322\) 3.47204 + 21.1016i 0.193489 + 1.17594i
\(323\) 27.8293 + 22.1931i 1.54846 + 1.23486i
\(324\) −9.47521 42.2398i −0.526401 2.34666i
\(325\) 7.85612 4.53573i 0.435779 0.251597i
\(326\) 33.7769 + 26.9362i 1.87073 + 1.49186i
\(327\) −0.598900 1.13574i −0.0331192 0.0628064i
\(328\) −29.2923 + 42.9639i −1.61740 + 2.37229i
\(329\) −20.9023 11.6952i −1.15238 0.644777i
\(330\) −21.3625 + 5.70270i −1.17597 + 0.313923i
\(331\) −15.7580 2.37514i −0.866139 0.130549i −0.299082 0.954228i \(-0.596680\pi\)
−0.567058 + 0.823678i \(0.691918\pi\)
\(332\) −1.16284 15.5170i −0.0638190 0.851606i
\(333\) 4.86851 + 1.92124i 0.266792 + 0.105283i
\(334\) −43.0368 3.22516i −2.35487 0.176473i
\(335\) −7.42019 2.28882i −0.405408 0.125052i
\(336\) 5.42558 + 43.2675i 0.295989 + 2.36043i
\(337\) 16.8520 5.19817i 0.917989 0.283162i 0.200469 0.979700i \(-0.435753\pi\)
0.717520 + 0.696538i \(0.245277\pi\)
\(338\) 67.1071 15.3167i 3.65014 0.833121i
\(339\) −0.903790 + 4.75236i −0.0490871 + 0.258113i
\(340\) −13.4525 58.9393i −0.729565 3.19643i
\(341\) −2.90661 + 1.98169i −0.157402 + 0.107315i
\(342\) 52.4361 20.4668i 2.83542 1.10672i
\(343\) −18.2078 3.38787i −0.983126 0.182928i
\(344\) 21.7585 + 12.5623i 1.17314 + 0.677311i
\(345\) −13.1529 3.53748i −0.708130 0.190451i
\(346\) −7.72017 + 25.0282i −0.415039 + 1.34552i
\(347\) −2.86101 18.9815i −0.153587 1.01898i −0.924263 0.381755i \(-0.875320\pi\)
0.770677 0.637227i \(-0.219918\pi\)
\(348\) 23.9718 32.4173i 1.28502 1.73775i
\(349\) −12.5457 + 13.5210i −0.671555 + 0.723764i −0.973278 0.229632i \(-0.926248\pi\)
0.301723 + 0.953396i \(0.402438\pi\)
\(350\) −0.611669 + 9.96232i −0.0326951 + 0.532508i
\(351\) 8.52730 31.4716i 0.455153 1.67983i
\(352\) −1.46385 + 19.5338i −0.0780236 + 1.04115i
\(353\) 3.96929 17.3906i 0.211264 0.925608i −0.752445 0.658655i \(-0.771126\pi\)
0.963709 0.266954i \(-0.0860170\pi\)
\(354\) 6.16426 + 1.65788i 0.327627 + 0.0881151i
\(355\) 23.1698 + 18.4773i 1.22973 + 0.980674i
\(356\) 2.03562 + 27.1635i 0.107888 + 1.43966i
\(357\) −7.22368 + 21.5058i −0.382318 + 1.13821i
\(358\) −0.517392 + 6.90412i −0.0273450 + 0.364894i
\(359\) −16.0461 + 17.2936i −0.846881 + 0.912720i −0.997113 0.0759303i \(-0.975807\pi\)
0.150232 + 0.988651i \(0.451998\pi\)
\(360\) −53.3380 16.5617i −2.81116 0.872877i
\(361\) 16.3481 + 28.3158i 0.860428 + 1.49030i
\(362\) −9.54681 16.5356i −0.501769 0.869089i
\(363\) −11.1540 5.90841i −0.585435 0.310111i
\(364\) −28.1703 + 74.7227i −1.47652 + 3.91654i
\(365\) −16.1663 6.34481i −0.846183 0.332102i
\(366\) −19.4281 55.6888i −1.01552 2.91090i
\(367\) 4.37602 + 9.08691i 0.228427 + 0.474333i 0.983407 0.181415i \(-0.0580677\pi\)
−0.754980 + 0.655748i \(0.772353\pi\)
\(368\) −16.6031 + 24.3523i −0.865497 + 1.26945i
\(369\) −0.0397063 + 21.2740i −0.00206703 + 1.10748i
\(370\) 9.03692 7.20670i 0.469807 0.374658i
\(371\) −6.52942 + 4.58180i −0.338990 + 0.237875i
\(372\) −15.2005 + 0.554559i −0.788110 + 0.0287525i
\(373\) −6.72804 −0.348364 −0.174182 0.984713i \(-0.555728\pi\)
−0.174182 + 0.984713i \(0.555728\pi\)
\(374\) −12.4462 + 21.5574i −0.643577 + 1.11471i
\(375\) 13.8118 + 7.31625i 0.713239 + 0.377810i
\(376\) −19.5667 63.4338i −1.00908 3.27135i
\(377\) 27.3607 13.1762i 1.40915 0.678609i
\(378\) 23.6904 + 26.9415i 1.21850 + 1.38572i
\(379\) 11.6685 + 5.61925i 0.599370 + 0.288641i 0.708863 0.705346i \(-0.249208\pi\)
−0.109493 + 0.993988i \(0.534923\pi\)
\(380\) 13.0861 86.8209i 0.671305 4.45382i
\(381\) −9.09372 + 33.8120i −0.465885 + 1.73224i
\(382\) −18.1052 16.7991i −0.926341 0.859519i
\(383\) 7.55460 3.63810i 0.386022 0.185898i −0.230800 0.973001i \(-0.574134\pi\)
0.616822 + 0.787103i \(0.288420\pi\)
\(384\) 0.786935 1.06418i 0.0401581 0.0543062i
\(385\) 9.36797 8.93017i 0.477436 0.455124i
\(386\) −57.2827 13.0744i −2.91561 0.665469i
\(387\) 10.2516 0.749015i 0.521120 0.0380746i
\(388\) 11.9985 + 4.70907i 0.609133 + 0.239067i
\(389\) −29.9679 + 6.83997i −1.51943 + 0.346800i −0.899172 0.437596i \(-0.855830\pi\)
−0.620260 + 0.784396i \(0.712973\pi\)
\(390\) −50.8704 50.9654i −2.57592 2.58074i
\(391\) −13.2796 + 7.66697i −0.671578 + 0.387736i
\(392\) −30.0476 41.6157i −1.51763 2.10191i
\(393\) 2.40637 + 12.7833i 0.121386 + 0.644832i
\(394\) −1.66356 22.1987i −0.0838092 1.11836i
\(395\) −7.45593 + 6.91809i −0.375149 + 0.348087i
\(396\) 13.8567 + 24.1042i 0.696324 + 1.21128i
\(397\) 5.41575 17.5574i 0.271809 0.881182i −0.712034 0.702145i \(-0.752226\pi\)
0.983842 0.179037i \(-0.0572982\pi\)
\(398\) 11.1103 + 10.3088i 0.556908 + 0.516735i
\(399\) −21.1771 + 25.2419i −1.06018 + 1.26367i
\(400\) −10.0840 + 9.35655i −0.504198 + 0.467827i
\(401\) −3.34482 6.94559i −0.167032 0.346846i 0.800605 0.599193i \(-0.204512\pi\)
−0.967637 + 0.252347i \(0.918798\pi\)
\(402\) −0.529808 + 13.8144i −0.0264244 + 0.688999i
\(403\) −10.3223 4.97096i −0.514191 0.247621i
\(404\) 0.140525 + 0.358051i 0.00699136 + 0.0178137i
\(405\) −21.8593 + 6.65343i −1.08620 + 0.330612i
\(406\) −4.53420 + 33.1040i −0.225028 + 1.64293i
\(407\) −3.35213 0.251208i −0.166159 0.0124519i
\(408\) −55.6177 + 29.3284i −2.75348 + 1.45197i
\(409\) −5.48470 + 2.15259i −0.271201 + 0.106439i −0.497045 0.867725i \(-0.665581\pi\)
0.225844 + 0.974164i \(0.427486\pi\)
\(410\) 40.6878 + 23.4911i 2.00943 + 1.16014i
\(411\) 21.8379 4.11084i 1.07718 0.202773i
\(412\) 72.9986 28.6498i 3.59638 1.41148i
\(413\) −3.63126 + 0.880467i −0.178683 + 0.0433250i
\(414\) −0.0452582 + 24.2486i −0.00222432 + 1.19175i
\(415\) −8.12154 + 1.22413i −0.398671 + 0.0600899i
\(416\) −57.4775 + 27.6797i −2.81807 + 1.35711i
\(417\) 6.10103 + 2.66863i 0.298769 + 0.130683i
\(418\) −28.2650 + 22.5406i −1.38249 + 1.10250i
\(419\) −2.42991 + 6.19131i −0.118709 + 0.302465i −0.977861 0.209255i \(-0.932896\pi\)
0.859152 + 0.511720i \(0.170991\pi\)
\(420\) 54.8502 11.0927i 2.67641 0.541268i
\(421\) 3.08741 + 7.86658i 0.150471 + 0.383394i 0.986157 0.165813i \(-0.0530250\pi\)
−0.835686 + 0.549207i \(0.814930\pi\)
\(422\) 13.3857 + 7.72821i 0.651603 + 0.376203i
\(423\) −21.2019 16.9728i −1.03087 0.825244i
\(424\) −21.8605 3.29494i −1.06164 0.160017i
\(425\) −6.83880 + 2.10949i −0.331731 + 0.102325i
\(426\) 21.1436 48.3386i 1.02441 2.34201i
\(427\) 25.6223 + 23.1392i 1.23995 + 1.11979i
\(428\) 20.0137 1.49982i 0.967400 0.0724966i
\(429\) 0.763513 + 20.9280i 0.0368627 + 1.01041i
\(430\) 9.84931 20.4523i 0.474976 0.986298i
\(431\) 2.92172 + 9.47197i 0.140734 + 0.456249i 0.998310 0.0581082i \(-0.0185068\pi\)
−0.857576 + 0.514357i \(0.828031\pi\)
\(432\) −1.98713 + 49.4050i −0.0956058 + 2.37700i
\(433\) 8.54110 1.94945i 0.410459 0.0936846i −0.0123052 0.999924i \(-0.503917\pi\)
0.422764 + 0.906240i \(0.361060\pi\)
\(434\) 10.8309 6.44942i 0.519901 0.309582i
\(435\) −18.0085 11.3389i −0.863439 0.543659i
\(436\) 0.793424 + 3.47622i 0.0379981 + 0.166481i
\(437\) −22.0215 + 3.31920i −1.05343 + 0.158779i
\(438\) −3.49046 + 30.7210i −0.166780 + 1.46790i
\(439\) −17.0074 + 1.27453i −0.811719 + 0.0608299i −0.474120 0.880460i \(-0.657234\pi\)
−0.337599 + 0.941290i \(0.609615\pi\)
\(440\) 35.8704 1.71006
\(441\) −19.7347 7.17932i −0.939746 0.341872i
\(442\) −81.0685 −3.85604
\(443\) 25.7693 1.93114i 1.22434 0.0917513i 0.553176 0.833064i \(-0.313416\pi\)
0.671159 + 0.741313i \(0.265797\pi\)
\(444\) −11.6865 8.64185i −0.554615 0.410124i
\(445\) 14.2173 2.14291i 0.673964 0.101584i
\(446\) 14.0554 + 61.5808i 0.665543 + 2.91594i
\(447\) −0.739505 + 19.2821i −0.0349774 + 0.912012i
\(448\) 2.69229 19.6563i 0.127199 0.928674i
\(449\) 24.0033 5.47861i 1.13279 0.258551i 0.385277 0.922801i \(-0.374106\pi\)
0.747511 + 0.664250i \(0.231249\pi\)
\(450\) −2.53896 + 11.0290i −0.119688 + 0.519912i
\(451\) −4.02740 13.0565i −0.189643 0.614807i
\(452\) 5.82878 12.1036i 0.274163 0.569304i
\(453\) 2.47394 + 1.31047i 0.116236 + 0.0615713i
\(454\) 52.6551 3.94596i 2.47123 0.185193i
\(455\) 40.4416 + 11.8801i 1.89593 + 0.556946i
\(456\) −90.7540 + 10.1398i −4.24995 + 0.474838i
\(457\) 19.4901 6.01189i 0.911708 0.281225i 0.196800 0.980444i \(-0.436945\pi\)
0.714908 + 0.699219i \(0.246469\pi\)
\(458\) −17.3276 2.61172i −0.809667 0.122038i
\(459\) −12.0837 + 22.7094i −0.564020 + 1.05998i
\(460\) 32.7565 + 18.9120i 1.52728 + 0.881776i
\(461\) 2.55187 + 6.50207i 0.118853 + 0.302832i 0.977903 0.209060i \(-0.0670403\pi\)
−0.859050 + 0.511891i \(0.828945\pi\)
\(462\) −19.6623 12.0132i −0.914772 0.558907i
\(463\) 3.59416 9.15777i 0.167035 0.425598i −0.822707 0.568466i \(-0.807537\pi\)
0.989742 + 0.142868i \(0.0456324\pi\)
\(464\) −36.0039 + 28.7121i −1.67144 + 1.33293i
\(465\) 0.891472 + 7.97895i 0.0413410 + 0.370015i
\(466\) −47.6294 + 22.9371i −2.20639 + 1.06254i
\(467\) −18.0951 + 2.72739i −0.837340 + 0.126209i −0.553694 0.832720i \(-0.686782\pi\)
−0.283646 + 0.958929i \(0.591544\pi\)
\(468\) −45.4206 + 78.3328i −2.09957 + 3.62094i
\(469\) −3.60903 7.24285i −0.166649 0.334444i
\(470\) −55.8319 + 21.9124i −2.57534 + 1.01074i
\(471\) 10.5939 30.1852i 0.488140 1.39086i
\(472\) −8.96837 5.17789i −0.412803 0.238332i
\(473\) −6.14545 + 2.41191i −0.282568 + 0.110900i
\(474\) 15.3234 + 9.64826i 0.703825 + 0.443159i
\(475\) −10.3650 0.776751i −0.475580 0.0356398i
\(476\) 34.7850 52.5276i 1.59437 2.40760i
\(477\) −8.15623 + 3.90910i −0.373448 + 0.178985i
\(478\) 9.33599 + 23.7877i 0.427018 + 1.08802i
\(479\) 2.58514 + 1.24494i 0.118118 + 0.0568826i 0.492010 0.870590i \(-0.336263\pi\)
−0.373892 + 0.927472i \(0.621977\pi\)
\(480\) 37.8310 + 23.8201i 1.72674 + 1.08723i
\(481\) −4.75003 9.86355i −0.216583 0.449739i
\(482\) 12.3334 11.4438i 0.561773 0.521249i
\(483\) −6.78931 12.4649i −0.308924 0.567174i
\(484\) 25.6952 + 23.8417i 1.16796 + 1.08371i
\(485\) 2.00535 6.50120i 0.0910584 0.295204i
\(486\) 21.4818 + 34.5449i 0.974435 + 1.56699i
\(487\) −2.19510 + 2.03676i −0.0994695 + 0.0922942i −0.728340 0.685216i \(-0.759708\pi\)
0.628871 + 0.777510i \(0.283517\pi\)
\(488\) 7.15058 + 95.4178i 0.323691 + 4.31936i
\(489\) −27.0565 9.49582i −1.22354 0.429416i
\(490\) −35.4664 + 29.8824i −1.60221 + 1.34995i
\(491\) 16.2166 9.36267i 0.731846 0.422531i −0.0872514 0.996186i \(-0.527808\pi\)
0.819097 + 0.573655i \(0.194475\pi\)
\(492\) 15.3439 57.0512i 0.691756 2.57206i
\(493\) −23.3576 + 5.33122i −1.05197 + 0.240106i
\(494\) −109.601 43.0151i −4.93116 1.93534i
\(495\) 12.1408 8.24427i 0.545686 0.370553i
\(496\) 16.9379 + 3.86596i 0.760533 + 0.173587i
\(497\) 2.72280 + 30.7632i 0.122134 + 1.37992i
\(498\) 5.83484 + 13.4077i 0.261465 + 0.600814i
\(499\) −16.5739 + 7.98155i −0.741948 + 0.357303i −0.766371 0.642399i \(-0.777939\pi\)
0.0244230 + 0.999702i \(0.492225\pi\)
\(500\) −31.8178 29.5226i −1.42294 1.32029i
\(501\) 27.6756 7.38798i 1.23645 0.330070i
\(502\) 5.12486 34.0012i 0.228734 1.51755i
\(503\) −8.58591 4.13476i −0.382827 0.184360i 0.232565 0.972581i \(-0.425288\pi\)
−0.615392 + 0.788221i \(0.711002\pi\)
\(504\) −25.8602 52.1417i −1.15191 2.32257i
\(505\) 0.182918 0.0880886i 0.00813974 0.00391989i
\(506\) −4.59052 14.8821i −0.204074 0.661591i
\(507\) −38.7062 + 24.2704i −1.71900 + 1.07789i
\(508\) 48.6167 84.2065i 2.15702 3.73606i
\(509\) 2.31623 0.102665 0.0513326 0.998682i \(-0.483653\pi\)
0.0513326 + 0.998682i \(0.483653\pi\)
\(510\) 30.1798 + 48.1306i 1.33639 + 2.13126i
\(511\) −6.83850 16.7565i −0.302517 0.741265i
\(512\) −33.4724 + 26.6934i −1.47929 + 1.17969i
\(513\) −28.3862 + 24.2903i −1.25328 + 1.07244i
\(514\) 11.6981 17.1580i 0.515983 0.756808i
\(515\) −17.9593 37.2929i −0.791381 1.64332i
\(516\) −28.0423 5.33300i −1.23449 0.234772i
\(517\) 16.2373 + 6.37266i 0.714114 + 0.280269i
\(518\) 11.9340 + 1.63458i 0.524352 + 0.0718195i
\(519\) −0.633803 17.3726i −0.0278209 0.762573i
\(520\) 58.4108 + 101.170i 2.56148 + 4.43662i
\(521\) 20.7646 + 35.9653i 0.909712 + 1.57567i 0.814464 + 0.580214i \(0.197031\pi\)
0.0952479 + 0.995454i \(0.469636\pi\)
\(522\) −11.2349 + 36.1828i −0.491739 + 1.58368i
\(523\) 4.19846 4.52486i 0.183586 0.197858i −0.634553 0.772879i \(-0.718816\pi\)
0.818139 + 0.575021i \(0.195006\pi\)
\(524\) 2.69947 36.0220i 0.117927 1.57363i
\(525\) −1.79474 6.37696i −0.0783288 0.278313i
\(526\) −0.747859 9.97949i −0.0326082 0.435126i
\(527\) 7.06674 + 5.63554i 0.307832 + 0.245488i
\(528\) −8.19060 30.6823i −0.356450 1.33527i
\(529\) −2.98317 + 13.0701i −0.129703 + 0.568266i
\(530\) −1.49269 + 19.9185i −0.0648382 + 0.865206i
\(531\) −4.22550 + 0.308728i −0.183371 + 0.0133977i
\(532\) 74.8988 52.5578i 3.24728 2.27867i
\(533\) 30.2670 32.6200i 1.31101 1.41293i
\(534\) −10.2143 23.4711i −0.442014 1.01569i
\(535\) −1.57887 10.4751i −0.0682604 0.452878i
\(536\) 6.61073 21.4315i 0.285540 0.925698i
\(537\) −1.18521 4.43982i −0.0511454 0.191592i
\(538\) −64.6366 37.3179i −2.78668 1.60889i
\(539\) 13.4721 + 0.645035i 0.580285 + 0.0277836i
\(540\) 63.4154 2.19507i 2.72896 0.0944606i
\(541\) 11.9961 8.17879i 0.515752 0.351634i −0.277304 0.960782i \(-0.589441\pi\)
0.793056 + 0.609148i \(0.208489\pi\)
\(542\) −14.6968 64.3909i −0.631282 2.76583i
\(543\) 9.59800 + 8.27535i 0.411890 + 0.355129i
\(544\) 49.0681 11.1995i 2.10378 0.480174i
\(545\) 1.79842 0.554739i 0.0770358 0.0237624i
\(546\) 1.86494 75.0184i 0.0798119 3.21049i
\(547\) 12.8735 + 3.97096i 0.550432 + 0.169786i 0.557482 0.830189i \(-0.311768\pi\)
−0.00704945 + 0.999975i \(0.502244\pi\)
\(548\) −61.5368 4.61155i −2.62872 0.196995i
\(549\) 24.3505 + 30.6518i 1.03925 + 1.30819i
\(550\) −0.543198 7.24848i −0.0231621 0.309076i
\(551\) −34.4071 5.18603i −1.46579 0.220932i
\(552\) 10.2172 37.9892i 0.434872 1.61693i
\(553\) −10.5795 0.649565i −0.449888 0.0276223i
\(554\) 11.2026 16.4312i 0.475952 0.698093i
\(555\) −4.08769 + 6.49207i −0.173513 + 0.275573i
\(556\) −14.4581 11.5299i −0.613159 0.488978i
\(557\) 38.8710 22.4422i 1.64702 0.950905i 0.668767 0.743472i \(-0.266822\pi\)
0.978249 0.207434i \(-0.0665111\pi\)
\(558\) 13.3152 5.19717i 0.563677 0.220014i
\(559\) −16.8098 13.4053i −0.710978 0.566986i
\(560\) −63.7976 3.91706i −2.69594 0.165526i
\(561\) 3.08672 16.2308i 0.130322 0.685265i
\(562\) 4.67202 + 5.85853i 0.197077 + 0.247127i
\(563\) 0.629185 8.39589i 0.0265170 0.353845i −0.968125 0.250467i \(-0.919416\pi\)
0.994642 0.103378i \(-0.0329651\pi\)
\(564\) 44.7294 + 60.7248i 1.88345 + 2.55697i
\(565\) −6.60066 2.59057i −0.277692 0.108986i
\(566\) −42.0917 52.7813i −1.76924 2.21856i
\(567\) −20.7366 11.7043i −0.870857 0.491536i
\(568\) −53.3673 + 66.9205i −2.23924 + 2.80792i
\(569\) 9.51803 5.49524i 0.399017 0.230372i −0.287043 0.957918i \(-0.592672\pi\)
0.686060 + 0.727545i \(0.259339\pi\)
\(570\) 15.2635 + 81.0836i 0.639317 + 3.39622i
\(571\) 14.9276 + 38.0349i 0.624700 + 1.59171i 0.795197 + 0.606351i \(0.207368\pi\)
−0.170497 + 0.985358i \(0.554537\pi\)
\(572\) 12.9410 56.6980i 0.541089 2.37066i
\(573\) 15.0190 + 6.56942i 0.627429 + 0.274442i
\(574\) 11.5372 + 47.5822i 0.481553 + 1.98604i
\(575\) 1.94278 4.03423i 0.0810197 0.168239i
\(576\) 6.67101 21.4844i 0.277959 0.895184i
\(577\) −11.0216 + 0.825957i −0.458836 + 0.0343850i −0.302144 0.953262i \(-0.597702\pi\)
−0.156693 + 0.987647i \(0.550083\pi\)
\(578\) 19.1032 + 4.36018i 0.794587 + 0.181359i
\(579\) 38.7566 4.33020i 1.61067 0.179957i
\(580\) 40.1965 + 43.3215i 1.66907 + 1.79883i
\(581\) −6.76316 5.24589i −0.280583 0.217636i
\(582\) −12.1035 0.464192i −0.501705 0.0192414i
\(583\) 4.25832 3.95114i 0.176362 0.163640i
\(584\) 18.3255 46.6926i 0.758314 1.93215i
\(585\) 43.0223 + 20.8174i 1.77875 + 0.860695i
\(586\) 28.3527 + 41.5858i 1.17124 + 1.71789i
\(587\) −13.0540 + 22.6102i −0.538796 + 0.933222i 0.460173 + 0.887829i \(0.347787\pi\)
−0.998969 + 0.0453928i \(0.985546\pi\)
\(588\) 47.8073 + 33.3974i 1.97154 + 1.37729i
\(589\) 6.56366 + 11.3686i 0.270451 + 0.468435i
\(590\) −4.05967 + 8.43000i −0.167134 + 0.347058i
\(591\) 5.89584 + 13.5479i 0.242522 + 0.557286i
\(592\) 10.3508 + 12.9794i 0.425413 + 0.533451i
\(593\) 12.0679 + 3.72247i 0.495571 + 0.152863i 0.532459 0.846456i \(-0.321268\pi\)
−0.0368876 + 0.999319i \(0.511744\pi\)
\(594\) −19.7557 17.0976i −0.810585 0.701525i
\(595\) −29.0201 16.2372i −1.18971 0.665662i
\(596\) 15.7948 51.2055i 0.646981 2.09746i
\(597\) −9.21646 4.03134i −0.377205 0.164992i
\(598\) 34.4990 37.1811i 1.41077 1.52045i
\(599\) 14.0041 + 20.5403i 0.572193 + 0.839253i 0.997844 0.0656346i \(-0.0209072\pi\)
−0.425651 + 0.904888i \(0.639955\pi\)
\(600\) 8.59448 16.2249i 0.350868 0.662378i
\(601\) −20.7212 30.3924i −0.845233 1.23973i −0.968912 0.247407i \(-0.920421\pi\)
0.123678 0.992322i \(-0.460531\pi\)
\(602\) 22.5094 7.27689i 0.917414 0.296584i
\(603\) −2.68822 8.77309i −0.109473 0.357268i
\(604\) −5.69914 5.28803i −0.231895 0.215167i
\(605\) 11.5356 14.4652i 0.468988 0.588092i
\(606\) −0.235512 0.274187i −0.00956703 0.0111381i
\(607\) 24.9894i 1.01429i 0.861861 + 0.507145i \(0.169299\pi\)
−0.861861 + 0.507145i \(0.830701\pi\)
\(608\) 72.2801 + 10.8945i 2.93135 + 0.441829i
\(609\) −4.39603 21.7371i −0.178136 0.880831i
\(610\) 85.4874 12.8852i 3.46129 0.521705i
\(611\) 8.46677 + 56.1733i 0.342529 + 2.27253i
\(612\) 48.6869 52.2760i 1.96805 2.11313i
\(613\) −28.3602 19.3357i −1.14546 0.780960i −0.166705 0.986007i \(-0.553313\pi\)
−0.978752 + 0.205047i \(0.934265\pi\)
\(614\) 16.5933 42.2789i 0.669649 1.70624i
\(615\) −30.6342 5.82593i −1.23529 0.234924i
\(616\) 25.7927 + 27.0572i 1.03922 + 1.09016i
\(617\) −1.06172 + 7.04408i −0.0427434 + 0.283584i −0.999984 0.00571008i \(-0.998182\pi\)
0.957240 + 0.289294i \(0.0934205\pi\)
\(618\) −55.9007 + 48.0157i −2.24866 + 1.93148i
\(619\) 43.0913i 1.73198i −0.500057 0.865992i \(-0.666688\pi\)
0.500057 0.865992i \(-0.333312\pi\)
\(620\) 3.32299 22.0466i 0.133454 0.885412i
\(621\) −5.27311 15.2061i −0.211603 0.610200i
\(622\) −5.73491 11.9087i −0.229949 0.477494i
\(623\) 11.8394 + 9.18327i 0.474334 + 0.367920i
\(624\) 73.2000 73.0635i 2.93035 2.92488i
\(625\) −18.7909 + 23.5631i −0.751637 + 0.942523i
\(626\) −10.8590 + 7.40352i −0.434012 + 0.295904i
\(627\) 12.7852 20.3054i 0.510591 0.810920i
\(628\) −50.0440 + 73.4011i −1.99697 + 2.92902i
\(629\) 1.92191 + 8.42044i 0.0766316 + 0.335745i
\(630\) −45.2329 + 26.8203i −1.80212 + 1.06855i
\(631\) −5.59865 + 24.5293i −0.222879 + 0.976495i 0.732420 + 0.680853i \(0.238391\pi\)
−0.955299 + 0.295642i \(0.904466\pi\)
\(632\) −19.9813 21.5347i −0.794813 0.856605i
\(633\) −10.0782 1.91664i −0.400572 0.0761797i
\(634\) −5.09968 1.57304i −0.202534 0.0624735i
\(635\) −46.2400 22.2680i −1.83498 0.883678i
\(636\) 24.6836 4.64653i 0.978767 0.184247i
\(637\) 20.1184 + 39.0476i 0.797122 + 1.54712i
\(638\) 24.3334i 0.963368i
\(639\) −2.68211 + 34.9157i −0.106103 + 1.38124i
\(640\) 1.31955 + 1.42214i 0.0521599 + 0.0562150i
\(641\) −27.2679 + 21.7454i −1.07702 + 0.858893i −0.990521 0.137360i \(-0.956138\pi\)
−0.0864960 + 0.996252i \(0.527567\pi\)
\(642\) −17.2932 + 7.52574i −0.682508 + 0.297017i
\(643\) −8.66628 28.0954i −0.341765 1.10797i −0.949482 0.313821i \(-0.898391\pi\)
0.607717 0.794153i \(-0.292085\pi\)
\(644\) 9.28826 + 38.3070i 0.366009 + 1.50951i
\(645\) −1.70092 + 14.9705i −0.0669736 + 0.589462i
\(646\) 76.7479 + 52.3258i 3.01961 + 2.05873i
\(647\) 7.69887 2.37479i 0.302674 0.0933625i −0.139698 0.990194i \(-0.544613\pi\)
0.442372 + 0.896832i \(0.354137\pi\)
\(648\) −19.2169 63.1354i −0.754910 2.48019i
\(649\) 2.53302 0.994137i 0.0994298 0.0390233i
\(650\) 19.5594 13.3353i 0.767181 0.523055i
\(651\) −5.37753 + 6.40972i −0.210762 + 0.251217i
\(652\) 65.7931 + 44.8570i 2.57666 + 1.75673i
\(653\) 19.5665 + 4.46594i 0.765698 + 0.174766i 0.587495 0.809228i \(-0.300114\pi\)
0.178204 + 0.983994i \(0.442971\pi\)
\(654\) −1.78000 2.83872i −0.0696033 0.111003i
\(655\) −19.0667 −0.744999
\(656\) −33.7395 + 58.4385i −1.31731 + 2.28164i
\(657\) −4.52911 20.0155i −0.176697 0.780877i
\(658\) −56.6746 26.3580i −2.20941 1.02754i
\(659\) 6.02711 + 39.9873i 0.234783 + 1.55768i 0.726647 + 0.687011i \(0.241078\pi\)
−0.491864 + 0.870672i \(0.663684\pi\)
\(660\) −38.4794 + 13.4242i −1.49781 + 0.522537i
\(661\) 32.3873 + 2.42709i 1.25972 + 0.0944030i 0.687797 0.725903i \(-0.258578\pi\)
0.571924 + 0.820306i \(0.306197\pi\)
\(662\) −41.4701 3.10776i −1.61178 0.120786i
\(663\) 50.8044 17.7240i 1.97308 0.688344i
\(664\) −3.53560 23.4572i −0.137208 0.910314i
\(665\) −30.6183 37.3501i −1.18732 1.44837i
\(666\) 13.0439 + 4.05020i 0.505442 + 0.156942i
\(667\) 7.49481 12.9814i 0.290200 0.502641i
\(668\) −79.5470 −3.07777
\(669\) −22.2717 35.5188i −0.861074 1.37324i
\(670\) −19.7558 4.50914i −0.763235 0.174203i
\(671\) −20.7738 14.1633i −0.801964 0.546770i
\(672\) 9.23489 + 45.6639i 0.356244 + 1.76152i
\(673\) −14.3555 + 9.78743i −0.553365 + 0.377278i −0.807479 0.589897i \(-0.799168\pi\)
0.254114 + 0.967174i \(0.418216\pi\)
\(674\) 42.8402 16.8135i 1.65014 0.647633i
\(675\) −0.820143 7.46680i −0.0315673 0.287397i
\(676\) 121.235 37.3960i 4.66288 1.43831i
\(677\) −34.1635 23.2923i −1.31301 0.895196i −0.314474 0.949266i \(-0.601828\pi\)
−0.998537 + 0.0540699i \(0.982781\pi\)
\(678\) −1.42514 + 12.5433i −0.0547323 + 0.481722i
\(679\) 6.34582 3.16205i 0.243530 0.121348i
\(680\) −27.1658 88.0695i −1.04176 3.37731i
\(681\) −32.1354 + 13.9849i −1.23143 + 0.535901i
\(682\) −7.17738 + 5.72377i −0.274836 + 0.219174i
\(683\) 30.4604 + 32.8285i 1.16553 + 1.25615i 0.960773 + 0.277335i \(0.0894513\pi\)
0.204761 + 0.978812i \(0.434358\pi\)
\(684\) 93.5600 44.8412i 3.57736 1.71455i
\(685\) 32.5719i 1.24451i
\(686\) −48.0425 5.26545i −1.83427 0.201036i
\(687\) 11.4300 2.15162i 0.436080 0.0820893i
\(688\) 29.3750 + 14.1462i 1.11991 + 0.539321i
\(689\) 18.0781 + 5.57636i 0.688722 + 0.212443i
\(690\) −34.9176 6.64053i −1.32929 0.252801i
\(691\) 30.5853 + 32.9631i 1.16352 + 1.25398i 0.961564 + 0.274582i \(0.0885395\pi\)
0.201957 + 0.979394i \(0.435270\pi\)
\(692\) −10.7425 + 47.0659i −0.408368 + 1.78918i
\(693\) 14.9485 + 3.22975i 0.567847 + 0.122688i
\(694\) −11.1468 48.8375i −0.423128 1.85385i
\(695\) −5.49851 + 8.06484i −0.208571 + 0.305917i
\(696\) 32.7498 52.0132i 1.24138 1.97155i
\(697\) −29.0064 + 19.7762i −1.09870 + 0.749078i
\(698\) −30.0107 + 37.6322i −1.13592 + 1.42440i
\(699\) 24.8339 24.7875i 0.939303 0.937551i
\(700\) 0.247956 + 18.3953i 0.00937187 + 0.695276i
\(701\) −21.7087 45.0786i −0.819927 1.70260i −0.704983 0.709224i \(-0.749045\pi\)
−0.114944 0.993372i \(-0.536669\pi\)
\(702\) 16.0531 83.5612i 0.605884 3.15381i
\(703\) −1.86957 + 12.4038i −0.0705121 + 0.467818i
\(704\) 14.4485i 0.544550i
\(705\) 30.1983 25.9387i 1.13733 0.976908i
\(706\) 6.93782 46.0295i 0.261108 1.73234i
\(707\) 0.197973 + 0.0746352i 0.00744553 + 0.00280695i
\(708\) 11.5584 + 2.19815i 0.434393 + 0.0826115i
\(709\) 4.72525 12.0397i 0.177460 0.452162i −0.814272 0.580483i \(-0.802864\pi\)
0.991733 + 0.128322i \(0.0409590\pi\)
\(710\) 63.8979 + 43.5649i 2.39805 + 1.63496i
\(711\) −11.7123 2.69627i −0.439246 0.101118i
\(712\) 6.18929 + 41.0633i 0.231954 + 1.53891i
\(713\) −5.59194 + 0.842850i −0.209420 + 0.0315650i
\(714\) −14.6042 + 57.3731i −0.546548 + 2.14713i
\(715\) −30.3536 4.57507i −1.13516 0.171098i
\(716\) 12.7612i 0.476910i
\(717\) −11.0514 12.8663i −0.412723 0.480499i
\(718\) −38.3841 + 48.1321i −1.43248 + 1.79628i
\(719\) 28.5095 + 26.4529i 1.06322 + 0.986528i 0.999934 0.0114670i \(-0.00365014\pi\)
0.0632902 + 0.997995i \(0.479841\pi\)
\(720\) −70.6286 16.2593i −2.63217 0.605947i
\(721\) 15.2165 40.3622i 0.566691 1.50317i
\(722\) 48.0646 + 70.4978i 1.78878 + 2.62366i
\(723\) −5.22722 + 9.86809i −0.194403 + 0.366998i
\(724\) −19.8249 29.0778i −0.736788 1.08067i
\(725\) 4.75852 5.12846i 0.176727 0.190466i
\(726\) −30.1783 13.2002i −1.12002 0.489905i
\(727\) −0.957609 + 3.10449i −0.0355157 + 0.115139i −0.971595 0.236650i \(-0.923950\pi\)
0.936079 + 0.351789i \(0.114427\pi\)
\(728\) −34.3128 + 116.806i −1.27172 + 4.32912i
\(729\) −21.0149 16.9522i −0.778328 0.627858i
\(730\) −43.3068 13.3584i −1.60285 0.494415i
\(731\) 10.5759 + 13.2617i 0.391163 + 0.490503i
\(732\) −43.3800 99.6816i −1.60337 3.68434i
\(733\) −2.08497 + 4.32949i −0.0770102 + 0.159913i −0.935919 0.352215i \(-0.885429\pi\)
0.858909 + 0.512128i \(0.171143\pi\)
\(734\) 13.1598 + 22.7934i 0.485736 + 0.841319i
\(735\) 15.6931 26.4808i 0.578847 0.976761i
\(736\) −15.7446 + 27.2705i −0.580354 + 1.00520i
\(737\) 3.31977 + 4.86921i 0.122285 + 0.179360i
\(738\) 4.04542 + 55.3689i 0.148914 + 2.03816i
\(739\) 8.19839 20.8892i 0.301583 0.768420i −0.697093 0.716980i \(-0.745524\pi\)
0.998676 0.0514400i \(-0.0163811\pi\)
\(740\) 15.6174 14.4909i 0.574109 0.532695i
\(741\) 78.0893 + 2.99488i 2.86868 + 0.110020i
\(742\) −16.0979 + 13.1965i −0.590973 + 0.484459i
\(743\) 32.8656 + 35.4207i 1.20572 + 1.29946i 0.942296 + 0.334782i \(0.108663\pi\)
0.263428 + 0.964679i \(0.415147\pi\)
\(744\) −23.0453 + 2.57481i −0.844883 + 0.0943970i
\(745\) −27.5752 6.29385i −1.01028 0.230589i
\(746\) −17.5083 + 1.31207i −0.641024 + 0.0480381i
\(747\) −6.58793 7.12673i −0.241040 0.260753i
\(748\) −19.9071 + 41.3375i −0.727875 + 1.51145i
\(749\) 6.76612 8.72309i 0.247229 0.318735i
\(750\) 37.3691 + 16.3455i 1.36453 + 0.596854i
\(751\) 11.3573 49.7595i 0.414433 1.81575i −0.148095 0.988973i \(-0.547314\pi\)
0.562528 0.826778i \(-0.309829\pi\)
\(752\) −31.4721 80.1896i −1.14767 2.92421i
\(753\) 4.22202 + 22.4285i 0.153859 + 0.817339i
\(754\) 68.6308 39.6240i 2.49939 1.44302i
\(755\) −2.55857 + 3.20834i −0.0931157 + 0.116763i
\(756\) 47.2547 + 46.2560i 1.71864 + 1.68232i
\(757\) 0.135287 + 0.169644i 0.00491709 + 0.00616583i 0.784284 0.620402i \(-0.213031\pi\)
−0.779367 + 0.626568i \(0.784459\pi\)
\(758\) 31.4606 + 12.3474i 1.14270 + 0.448477i
\(759\) 6.13049 + 8.32276i 0.222523 + 0.302097i
\(760\) 10.0029 133.480i 0.362844 4.84182i
\(761\) 26.9801 + 33.8320i 0.978027 + 1.22641i 0.974031 + 0.226416i \(0.0727007\pi\)
0.00399655 + 0.999992i \(0.498728\pi\)
\(762\) −17.0707 + 89.7620i −0.618405 + 3.25173i
\(763\) 1.71160 + 0.957667i 0.0619639 + 0.0346699i
\(764\) −35.5918 28.3835i −1.28766 1.02688i
\(765\) −29.4360 23.5645i −1.06426 0.851975i
\(766\) 18.9498 10.9407i 0.684683 0.395302i
\(767\) 6.92863 + 5.52540i 0.250178 + 0.199511i
\(768\) 15.6811 24.9048i 0.565844 0.898673i
\(769\) 6.23106 9.13929i 0.224698 0.329571i −0.697291 0.716789i \(-0.745611\pi\)
0.921988 + 0.387217i \(0.126564\pi\)
\(770\) 22.6367 25.0658i 0.815769 0.903308i
\(771\) −3.57978 + 13.3102i −0.128923 + 0.479356i
\(772\) −107.088 16.1409i −3.85418 0.580925i
\(773\) −3.95425