Properties

Label 144.2.u.a.11.16
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.717593 + 1.21863i) q^{2} +(1.11494 - 1.32549i) q^{3} +(-0.970121 + 1.74896i) q^{4} +(1.20583 + 0.323102i) q^{5} +(2.41535 + 0.407536i) q^{6} +(0.140266 - 0.242948i) q^{7} +(-2.82749 + 0.0728225i) q^{8} +(-0.513832 - 2.95567i) q^{9} +O(q^{10})\) \(q+(0.717593 + 1.21863i) q^{2} +(1.11494 - 1.32549i) q^{3} +(-0.970121 + 1.74896i) q^{4} +(1.20583 + 0.323102i) q^{5} +(2.41535 + 0.407536i) q^{6} +(0.140266 - 0.242948i) q^{7} +(-2.82749 + 0.0728225i) q^{8} +(-0.513832 - 2.95567i) q^{9} +(0.471556 + 1.70132i) q^{10} +(-3.07444 + 0.823794i) q^{11} +(1.23660 + 3.23586i) q^{12} +(2.76539 + 0.740984i) q^{13} +(0.396717 - 0.00340517i) q^{14} +(1.77270 - 1.23808i) q^{15} +(-2.11773 - 3.39341i) q^{16} +3.72031i q^{17} +(3.23315 - 2.74714i) q^{18} +(-4.10860 - 4.10860i) q^{19} +(-1.73490 + 1.79551i) q^{20} +(-0.165636 - 0.456792i) q^{21} +(-3.21010 - 3.15546i) q^{22} +(-1.57595 + 0.909876i) q^{23} +(-3.05595 + 3.82899i) q^{24} +(-2.98049 - 1.72078i) q^{25} +(1.08144 + 3.90172i) q^{26} +(-4.49059 - 2.61431i) q^{27} +(0.288831 + 0.481009i) q^{28} +(-3.83006 + 1.02626i) q^{29} +(2.78084 + 1.27183i) q^{30} +(8.81101 - 5.08704i) q^{31} +(2.61564 - 5.01582i) q^{32} +(-2.33588 + 4.99361i) q^{33} +(-4.53369 + 2.66967i) q^{34} +(0.247635 - 0.247635i) q^{35} +(5.66783 + 1.96868i) q^{36} +(1.76964 + 1.76964i) q^{37} +(2.05856 - 7.95516i) q^{38} +(4.06540 - 2.83934i) q^{39} +(-3.43301 - 0.825757i) q^{40} +(2.66819 + 4.62144i) q^{41} +(0.437801 - 0.529640i) q^{42} +(-1.84748 - 6.89490i) q^{43} +(1.54180 - 6.17626i) q^{44} +(0.335387 - 3.73007i) q^{45} +(-2.23969 - 1.26758i) q^{46} +(-5.48486 + 9.50006i) q^{47} +(-6.85905 - 0.976412i) q^{48} +(3.46065 + 5.99402i) q^{49} +(-0.0417747 - 4.86693i) q^{50} +(4.93123 + 4.14791i) q^{51} +(-3.97872 + 4.11772i) q^{52} +(8.58403 - 8.58403i) q^{53} +(-0.0365433 - 7.34838i) q^{54} -3.97344 q^{55} +(-0.378909 + 0.697147i) q^{56} +(-10.0267 + 0.865067i) q^{57} +(-3.99906 - 3.93099i) q^{58} +(1.44299 - 5.38532i) q^{59} +(0.445622 + 4.30146i) q^{60} +(1.66977 + 6.23168i) q^{61} +(12.5219 + 7.08695i) q^{62} +(-0.790146 - 0.289745i) q^{63} +(7.98939 - 0.411810i) q^{64} +(3.09519 + 1.78701i) q^{65} +(-7.76158 + 0.736806i) q^{66} +(-1.00652 + 3.75640i) q^{67} +(-6.50668 - 3.60915i) q^{68} +(-0.551057 + 3.10336i) q^{69} +(0.479476 + 0.124074i) q^{70} +10.6808i q^{71} +(1.66809 + 8.31970i) q^{72} +9.30419i q^{73} +(-0.886658 + 3.42643i) q^{74} +(-5.60393 + 2.03203i) q^{75} +(11.1716 - 3.19994i) q^{76} +(-0.231101 + 0.862479i) q^{77} +(6.37741 + 2.91673i) q^{78} +(8.70990 + 5.02866i) q^{79} +(-1.45721 - 4.77613i) q^{80} +(-8.47195 + 3.03744i) q^{81} +(-3.71715 + 6.56784i) q^{82} +(0.588691 + 2.19703i) q^{83} +(0.959599 + 0.153452i) q^{84} +(-1.20204 + 4.48608i) q^{85} +(7.07659 - 7.19913i) q^{86} +(-2.90998 + 6.22091i) q^{87} +(8.63296 - 2.55316i) q^{88} -1.87637 q^{89} +(4.78625 - 2.26796i) q^{90} +(0.567911 - 0.567911i) q^{91} +(-0.0624738 - 3.63897i) q^{92} +(3.08091 - 17.3506i) q^{93} +(-15.5130 + 0.133153i) q^{94} +(-3.62679 - 6.28179i) q^{95} +(-3.73212 - 9.05932i) q^{96} +(9.19070 - 15.9188i) q^{97} +(-4.82116 + 8.51852i) q^{98} +(4.01461 + 8.66374i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.717593 + 1.21863i 0.507415 + 0.861702i
\(3\) 1.11494 1.32549i 0.643709 0.765270i
\(4\) −0.970121 + 1.74896i −0.485061 + 0.874481i
\(5\) 1.20583 + 0.323102i 0.539266 + 0.144496i 0.518164 0.855282i \(-0.326616\pi\)
0.0211020 + 0.999777i \(0.493283\pi\)
\(6\) 2.41535 + 0.407536i 0.986062 + 0.166376i
\(7\) 0.140266 0.242948i 0.0530156 0.0918256i −0.838300 0.545210i \(-0.816450\pi\)
0.891315 + 0.453384i \(0.149783\pi\)
\(8\) −2.82749 + 0.0728225i −0.999669 + 0.0257466i
\(9\) −0.513832 2.95567i −0.171277 0.985223i
\(10\) 0.471556 + 1.70132i 0.149119 + 0.538005i
\(11\) −3.07444 + 0.823794i −0.926979 + 0.248383i −0.690566 0.723269i \(-0.742639\pi\)
−0.236413 + 0.971653i \(0.575972\pi\)
\(12\) 1.23660 + 3.23586i 0.356976 + 0.934113i
\(13\) 2.76539 + 0.740984i 0.766982 + 0.205512i 0.621038 0.783781i \(-0.286711\pi\)
0.145944 + 0.989293i \(0.453378\pi\)
\(14\) 0.396717 0.00340517i 0.106027 0.000910071i
\(15\) 1.77270 1.23808i 0.457708 0.319671i
\(16\) −2.11773 3.39341i −0.529432 0.848352i
\(17\) 3.72031i 0.902309i 0.892446 + 0.451154i \(0.148988\pi\)
−0.892446 + 0.451154i \(0.851012\pi\)
\(18\) 3.23315 2.74714i 0.762060 0.647507i
\(19\) −4.10860 4.10860i −0.942577 0.942577i 0.0558614 0.998439i \(-0.482209\pi\)
−0.998439 + 0.0558614i \(0.982209\pi\)
\(20\) −1.73490 + 1.79551i −0.387935 + 0.401488i
\(21\) −0.165636 0.456792i −0.0361448 0.0996802i
\(22\) −3.21010 3.15546i −0.684395 0.672747i
\(23\) −1.57595 + 0.909876i −0.328609 + 0.189722i −0.655223 0.755435i \(-0.727425\pi\)
0.326615 + 0.945158i \(0.394092\pi\)
\(24\) −3.05595 + 3.82899i −0.623792 + 0.781590i
\(25\) −2.98049 1.72078i −0.596097 0.344157i
\(26\) 1.08144 + 3.90172i 0.212088 + 0.765189i
\(27\) −4.49059 2.61431i −0.864215 0.503123i
\(28\) 0.288831 + 0.481009i 0.0545840 + 0.0909021i
\(29\) −3.83006 + 1.02626i −0.711224 + 0.190572i −0.596253 0.802797i \(-0.703344\pi\)
−0.114972 + 0.993369i \(0.536678\pi\)
\(30\) 2.78084 + 1.27183i 0.507709 + 0.232203i
\(31\) 8.81101 5.08704i 1.58250 0.913659i 0.588012 0.808852i \(-0.299911\pi\)
0.994493 0.104807i \(-0.0334225\pi\)
\(32\) 2.61564 5.01582i 0.462385 0.886679i
\(33\) −2.33588 + 4.99361i −0.406625 + 0.869276i
\(34\) −4.53369 + 2.66967i −0.777521 + 0.457845i
\(35\) 0.247635 0.247635i 0.0418579 0.0418579i
\(36\) 5.66783 + 1.96868i 0.944638 + 0.328114i
\(37\) 1.76964 + 1.76964i 0.290928 + 0.290928i 0.837447 0.546519i \(-0.184047\pi\)
−0.546519 + 0.837447i \(0.684047\pi\)
\(38\) 2.05856 7.95516i 0.333943 1.29050i
\(39\) 4.06540 2.83934i 0.650985 0.454658i
\(40\) −3.43301 0.825757i −0.542807 0.130564i
\(41\) 2.66819 + 4.62144i 0.416701 + 0.721747i 0.995605 0.0936482i \(-0.0298529\pi\)
−0.578904 + 0.815395i \(0.696520\pi\)
\(42\) 0.437801 0.529640i 0.0675542 0.0817253i
\(43\) −1.84748 6.89490i −0.281738 1.05146i −0.951190 0.308606i \(-0.900138\pi\)
0.669452 0.742856i \(-0.266529\pi\)
\(44\) 1.54180 6.17626i 0.232435 0.931106i
\(45\) 0.335387 3.73007i 0.0499965 0.556046i
\(46\) −2.23969 1.26758i −0.330225 0.186895i
\(47\) −5.48486 + 9.50006i −0.800049 + 1.38573i 0.119534 + 0.992830i \(0.461860\pi\)
−0.919583 + 0.392896i \(0.871473\pi\)
\(48\) −6.85905 0.976412i −0.990019 0.140933i
\(49\) 3.46065 + 5.99402i 0.494379 + 0.856289i
\(50\) −0.0417747 4.86693i −0.00590783 0.688288i
\(51\) 4.93123 + 4.14791i 0.690510 + 0.580824i
\(52\) −3.97872 + 4.11772i −0.551749 + 0.571025i
\(53\) 8.58403 8.58403i 1.17911 1.17911i 0.199135 0.979972i \(-0.436187\pi\)
0.979972 0.199135i \(-0.0638133\pi\)
\(54\) −0.0365433 7.34838i −0.00497291 0.999988i
\(55\) −3.97344 −0.535778
\(56\) −0.378909 + 0.697147i −0.0506338 + 0.0931602i
\(57\) −10.0267 + 0.865067i −1.32807 + 0.114581i
\(58\) −3.99906 3.93099i −0.525102 0.516164i
\(59\) 1.44299 5.38532i 0.187862 0.701109i −0.806138 0.591727i \(-0.798446\pi\)
0.994000 0.109382i \(-0.0348871\pi\)
\(60\) 0.445622 + 4.30146i 0.0575295 + 0.555317i
\(61\) 1.66977 + 6.23168i 0.213793 + 0.797885i 0.986588 + 0.163230i \(0.0521911\pi\)
−0.772796 + 0.634655i \(0.781142\pi\)
\(62\) 12.5219 + 7.08695i 1.59029 + 0.900043i
\(63\) −0.790146 0.289745i −0.0995491 0.0365045i
\(64\) 7.98939 0.411810i 0.998674 0.0514762i
\(65\) 3.09519 + 1.78701i 0.383911 + 0.221651i
\(66\) −7.76158 + 0.736806i −0.955384 + 0.0906945i
\(67\) −1.00652 + 3.75640i −0.122967 + 0.458918i −0.999759 0.0219514i \(-0.993012\pi\)
0.876792 + 0.480869i \(0.159679\pi\)
\(68\) −6.50668 3.60915i −0.789051 0.437674i
\(69\) −0.551057 + 3.10336i −0.0663395 + 0.373600i
\(70\) 0.479476 + 0.124074i 0.0573083 + 0.0148297i
\(71\) 10.6808i 1.26758i 0.773506 + 0.633789i \(0.218501\pi\)
−0.773506 + 0.633789i \(0.781499\pi\)
\(72\) 1.66809 + 8.31970i 0.196587 + 0.980486i
\(73\) 9.30419i 1.08897i 0.838770 + 0.544487i \(0.183275\pi\)
−0.838770 + 0.544487i \(0.816725\pi\)
\(74\) −0.886658 + 3.42643i −0.103072 + 0.398314i
\(75\) −5.60393 + 2.03203i −0.647086 + 0.234639i
\(76\) 11.1716 3.19994i 1.28147 0.367058i
\(77\) −0.231101 + 0.862479i −0.0263364 + 0.0982886i
\(78\) 6.37741 + 2.91673i 0.722099 + 0.330255i
\(79\) 8.70990 + 5.02866i 0.979940 + 0.565769i 0.902252 0.431209i \(-0.141913\pi\)
0.0776882 + 0.996978i \(0.475246\pi\)
\(80\) −1.45721 4.77613i −0.162921 0.533988i
\(81\) −8.47195 + 3.03744i −0.941328 + 0.337493i
\(82\) −3.71715 + 6.56784i −0.410491 + 0.725297i
\(83\) 0.588691 + 2.19703i 0.0646173 + 0.241155i 0.990679 0.136217i \(-0.0434945\pi\)
−0.926062 + 0.377372i \(0.876828\pi\)
\(84\) 0.959599 + 0.153452i 0.104701 + 0.0167430i
\(85\) −1.20204 + 4.48608i −0.130380 + 0.486584i
\(86\) 7.07659 7.19913i 0.763089 0.776302i
\(87\) −2.90998 + 6.22091i −0.311982 + 0.666952i
\(88\) 8.63296 2.55316i 0.920277 0.272168i
\(89\) −1.87637 −0.198895 −0.0994475 0.995043i \(-0.531708\pi\)
−0.0994475 + 0.995043i \(0.531708\pi\)
\(90\) 4.78625 2.26796i 0.504515 0.239064i
\(91\) 0.567911 0.567911i 0.0595332 0.0595332i
\(92\) −0.0624738 3.63897i −0.00651335 0.379389i
\(93\) 3.08091 17.3506i 0.319476 1.79917i
\(94\) −15.5130 + 0.133153i −1.60004 + 0.0137337i
\(95\) −3.62679 6.28179i −0.372101 0.644498i
\(96\) −3.73212 9.05932i −0.380908 0.924613i
\(97\) 9.19070 15.9188i 0.933175 1.61631i 0.155317 0.987865i \(-0.450360\pi\)
0.777857 0.628441i \(-0.216307\pi\)
\(98\) −4.82116 + 8.51852i −0.487011 + 0.860501i
\(99\) 4.01461 + 8.66374i 0.403484 + 0.870739i
\(100\) 5.90102 3.54338i 0.590102 0.354338i
\(101\) −4.18566 15.6211i −0.416488 1.55436i −0.781836 0.623485i \(-0.785716\pi\)
0.365347 0.930871i \(-0.380950\pi\)
\(102\) −1.51616 + 8.98586i −0.150122 + 0.889733i
\(103\) 0.0611378 + 0.105894i 0.00602409 + 0.0104340i 0.869022 0.494774i \(-0.164749\pi\)
−0.862998 + 0.505208i \(0.831416\pi\)
\(104\) −7.87308 1.89374i −0.772019 0.185697i
\(105\) −0.0521396 0.604333i −0.00508830 0.0589769i
\(106\) 16.6206 + 4.30092i 1.61434 + 0.417743i
\(107\) 5.97359 + 5.97359i 0.577489 + 0.577489i 0.934211 0.356722i \(-0.116106\pi\)
−0.356722 + 0.934211i \(0.616106\pi\)
\(108\) 8.92874 5.31768i 0.859168 0.511694i
\(109\) −3.40913 + 3.40913i −0.326536 + 0.326536i −0.851268 0.524732i \(-0.824166\pi\)
0.524732 + 0.851268i \(0.324166\pi\)
\(110\) −2.85131 4.84215i −0.271862 0.461681i
\(111\) 4.31868 0.372599i 0.409911 0.0353655i
\(112\) −1.12147 + 0.0385180i −0.105969 + 0.00363961i
\(113\) 1.91330 1.10464i 0.179988 0.103916i −0.407299 0.913295i \(-0.633529\pi\)
0.587287 + 0.809379i \(0.300196\pi\)
\(114\) −8.24930 11.5981i −0.772618 1.08626i
\(115\) −2.19432 + 0.587966i −0.204621 + 0.0548281i
\(116\) 1.92073 7.69422i 0.178335 0.714391i
\(117\) 0.769157 8.55432i 0.0711086 0.790847i
\(118\) 7.59820 2.10599i 0.699471 0.193872i
\(119\) 0.903842 + 0.521833i 0.0828551 + 0.0478364i
\(120\) −4.92212 + 3.62975i −0.449326 + 0.331349i
\(121\) −0.752719 + 0.434583i −0.0684290 + 0.0395075i
\(122\) −6.39590 + 6.50664i −0.579057 + 0.589084i
\(123\) 9.10052 + 1.61596i 0.820566 + 0.145706i
\(124\) 0.349286 + 20.3452i 0.0313668 + 1.82705i
\(125\) −7.45164 7.45164i −0.666495 0.666495i
\(126\) −0.213911 1.17082i −0.0190567 0.104305i
\(127\) 3.63934i 0.322939i 0.986878 + 0.161470i \(0.0516234\pi\)
−0.986878 + 0.161470i \(0.948377\pi\)
\(128\) 6.23498 + 9.44061i 0.551099 + 0.834440i
\(129\) −11.1989 5.23856i −0.986010 0.461229i
\(130\) 0.0433824 + 5.05424i 0.00380489 + 0.443286i
\(131\) −14.9890 4.01630i −1.30960 0.350906i −0.464527 0.885559i \(-0.653776\pi\)
−0.845072 + 0.534653i \(0.820442\pi\)
\(132\) −6.46755 8.92977i −0.562928 0.777237i
\(133\) −1.57447 + 0.421878i −0.136524 + 0.0365815i
\(134\) −5.29994 + 1.46899i −0.457845 + 0.126901i
\(135\) −4.57022 4.60334i −0.393342 0.396192i
\(136\) −0.270922 10.5191i −0.0232314 0.902009i
\(137\) 10.4065 18.0245i 0.889085 1.53994i 0.0481263 0.998841i \(-0.484675\pi\)
0.840959 0.541099i \(-0.181992\pi\)
\(138\) −4.17728 + 1.55541i −0.355594 + 0.132405i
\(139\) 0.802043 + 0.214907i 0.0680284 + 0.0182282i 0.292673 0.956213i \(-0.405455\pi\)
−0.224644 + 0.974441i \(0.572122\pi\)
\(140\) 0.192868 + 0.673339i 0.0163003 + 0.0569075i
\(141\) 6.47693 + 17.8621i 0.545456 + 1.50426i
\(142\) −13.0159 + 7.66446i −1.09227 + 0.643187i
\(143\) −9.11246 −0.762022
\(144\) −8.94163 + 8.00295i −0.745136 + 0.666913i
\(145\) −4.95000 −0.411076
\(146\) −11.3384 + 6.67662i −0.938370 + 0.552561i
\(147\) 11.8034 + 2.09591i 0.973529 + 0.172868i
\(148\) −4.81181 + 1.37827i −0.395528 + 0.113293i
\(149\) 5.13681 + 1.37640i 0.420824 + 0.112759i 0.463015 0.886350i \(-0.346767\pi\)
−0.0421919 + 0.999110i \(0.513434\pi\)
\(150\) −6.49763 5.37095i −0.530530 0.438536i
\(151\) −1.53487 + 2.65847i −0.124906 + 0.216343i −0.921696 0.387913i \(-0.873196\pi\)
0.796790 + 0.604256i \(0.206529\pi\)
\(152\) 11.9162 + 11.3178i 0.966533 + 0.917996i
\(153\) 10.9960 1.91162i 0.888975 0.154545i
\(154\) −1.21688 + 0.337283i −0.0980590 + 0.0271790i
\(155\) 12.2683 3.28727i 0.985410 0.264040i
\(156\) 1.02196 + 9.86473i 0.0818225 + 0.789811i
\(157\) −5.63885 1.51093i −0.450029 0.120585i 0.0266838 0.999644i \(-0.491505\pi\)
−0.476713 + 0.879059i \(0.658172\pi\)
\(158\) 0.122079 + 14.2227i 0.00971205 + 1.13150i
\(159\) −1.80737 20.9487i −0.143334 1.66134i
\(160\) 4.77465 5.20312i 0.377470 0.411343i
\(161\) 0.510499i 0.0402329i
\(162\) −9.78092 8.14454i −0.768462 0.639895i
\(163\) −12.5565 12.5565i −0.983500 0.983500i 0.0163656 0.999866i \(-0.494790\pi\)
−0.999866 + 0.0163656i \(0.994790\pi\)
\(164\) −10.6712 + 0.183203i −0.833279 + 0.0143057i
\(165\) −4.43013 + 5.26674i −0.344885 + 0.410015i
\(166\) −2.25492 + 2.29397i −0.175016 + 0.178046i
\(167\) 12.0834 6.97635i 0.935041 0.539846i 0.0466388 0.998912i \(-0.485149\pi\)
0.888402 + 0.459066i \(0.151816\pi\)
\(168\) 0.501600 + 1.27951i 0.0386993 + 0.0987166i
\(169\) −4.16000 2.40178i −0.320000 0.184752i
\(170\) −6.32945 + 1.75433i −0.485447 + 0.134551i
\(171\) −10.0325 + 14.2548i −0.767206 + 1.09009i
\(172\) 13.8512 + 3.45771i 1.05614 + 0.263648i
\(173\) −2.38993 + 0.640380i −0.181703 + 0.0486872i −0.348523 0.937300i \(-0.613317\pi\)
0.166820 + 0.985987i \(0.446650\pi\)
\(174\) −9.66917 + 0.917893i −0.733018 + 0.0695853i
\(175\) −0.836121 + 0.482735i −0.0632048 + 0.0364913i
\(176\) 9.30631 + 8.68827i 0.701489 + 0.654903i
\(177\) −5.52933 7.91696i −0.415610 0.595075i
\(178\) −1.34647 2.28661i −0.100922 0.171388i
\(179\) 9.53870 9.53870i 0.712956 0.712956i −0.254197 0.967153i \(-0.581811\pi\)
0.967153 + 0.254197i \(0.0818111\pi\)
\(180\) 6.19838 + 4.20520i 0.462000 + 0.313437i
\(181\) −6.83874 6.83874i −0.508320 0.508320i 0.405691 0.914010i \(-0.367031\pi\)
−0.914010 + 0.405691i \(0.867031\pi\)
\(182\) 1.09960 + 0.284545i 0.0815079 + 0.0210919i
\(183\) 10.1217 + 4.73466i 0.748218 + 0.349996i
\(184\) 4.38973 2.68743i 0.323615 0.198120i
\(185\) 1.56212 + 2.70567i 0.114849 + 0.198925i
\(186\) 23.3548 8.69618i 1.71246 0.637635i
\(187\) −3.06477 11.4379i −0.224118 0.836421i
\(188\) −11.2943 18.8090i −0.823718 1.37179i
\(189\) −1.26502 + 0.724281i −0.0920164 + 0.0526837i
\(190\) 5.05262 8.92748i 0.366555 0.647668i
\(191\) −7.08629 + 12.2738i −0.512746 + 0.888102i 0.487145 + 0.873321i \(0.338038\pi\)
−0.999891 + 0.0147810i \(0.995295\pi\)
\(192\) 8.36182 11.0490i 0.603462 0.797391i
\(193\) −6.47017 11.2067i −0.465733 0.806673i 0.533501 0.845799i \(-0.320876\pi\)
−0.999234 + 0.0391263i \(0.987543\pi\)
\(194\) 25.9943 0.223119i 1.86628 0.0160190i
\(195\) 5.81960 2.11023i 0.416750 0.151117i
\(196\) −13.8406 + 0.237615i −0.988612 + 0.0169725i
\(197\) −8.02294 + 8.02294i −0.571611 + 0.571611i −0.932578 0.360968i \(-0.882447\pi\)
0.360968 + 0.932578i \(0.382447\pi\)
\(198\) −7.67704 + 11.1094i −0.545584 + 0.789508i
\(199\) 10.9199 0.774093 0.387046 0.922060i \(-0.373495\pi\)
0.387046 + 0.922060i \(0.373495\pi\)
\(200\) 8.55260 + 4.64845i 0.604760 + 0.328695i
\(201\) 3.85685 + 5.52229i 0.272041 + 0.389512i
\(202\) 16.0327 16.3103i 1.12806 1.14759i
\(203\) −0.287899 + 1.07445i −0.0202066 + 0.0754119i
\(204\) −12.0384 + 4.60055i −0.842859 + 0.322103i
\(205\) 1.72420 + 6.43478i 0.120423 + 0.449425i
\(206\) −0.0851733 + 0.150493i −0.00593431 + 0.0104853i
\(207\) 3.49907 + 4.19047i 0.243202 + 0.291258i
\(208\) −3.34189 10.9533i −0.231718 0.759475i
\(209\) 16.0163 + 9.24701i 1.10787 + 0.639629i
\(210\) 0.699044 0.497204i 0.0482386 0.0343103i
\(211\) −4.37047 + 16.3108i −0.300875 + 1.12288i 0.635563 + 0.772049i \(0.280768\pi\)
−0.936438 + 0.350833i \(0.885899\pi\)
\(212\) 6.68559 + 23.3407i 0.459168 + 1.60304i
\(213\) 14.1573 + 11.9084i 0.970039 + 0.815951i
\(214\) −2.99300 + 11.5662i −0.204597 + 0.790650i
\(215\) 8.91103i 0.607727i
\(216\) 12.8875 + 7.06490i 0.876882 + 0.480706i
\(217\) 2.85415i 0.193753i
\(218\) −6.60085 1.70811i −0.447066 0.115688i
\(219\) 12.3326 + 10.3736i 0.833359 + 0.700982i
\(220\) 3.85472 6.94939i 0.259885 0.468528i
\(221\) −2.75669 + 10.2881i −0.185435 + 0.692054i
\(222\) 3.55311 + 4.99550i 0.238469 + 0.335276i
\(223\) −12.3586 7.13522i −0.827591 0.477810i 0.0254364 0.999676i \(-0.491902\pi\)
−0.853027 + 0.521867i \(0.825236\pi\)
\(224\) −0.851696 1.33901i −0.0569063 0.0894666i
\(225\) −3.55460 + 9.69352i −0.236973 + 0.646235i
\(226\) 2.71912 + 1.53892i 0.180873 + 0.102367i
\(227\) −2.27906 8.50557i −0.151267 0.564535i −0.999396 0.0347459i \(-0.988938\pi\)
0.848130 0.529789i \(-0.177729\pi\)
\(228\) 8.21417 18.3756i 0.543996 1.21695i
\(229\) −6.45185 + 24.0786i −0.426350 + 1.59116i 0.334606 + 0.942358i \(0.391397\pi\)
−0.760957 + 0.648803i \(0.775270\pi\)
\(230\) −2.29114 2.25214i −0.151073 0.148502i
\(231\) 0.885543 + 1.26793i 0.0582644 + 0.0834237i
\(232\) 10.7547 3.18066i 0.706082 0.208820i
\(233\) −6.51295 −0.426678 −0.213339 0.976978i \(-0.568434\pi\)
−0.213339 + 0.976978i \(0.568434\pi\)
\(234\) 10.9765 5.20120i 0.717556 0.340013i
\(235\) −9.68332 + 9.68332i −0.631670 + 0.631670i
\(236\) 8.01884 + 7.74815i 0.521982 + 0.504362i
\(237\) 16.3764 5.93822i 1.06376 0.385729i
\(238\) 0.0126683 + 1.47591i 0.000821165 + 0.0956693i
\(239\) −2.36907 4.10336i −0.153243 0.265424i 0.779175 0.626806i \(-0.215638\pi\)
−0.932418 + 0.361382i \(0.882305\pi\)
\(240\) −7.95540 3.39357i −0.513519 0.219054i
\(241\) 7.43805 12.8831i 0.479127 0.829872i −0.520586 0.853809i \(-0.674287\pi\)
0.999713 + 0.0239367i \(0.00762000\pi\)
\(242\) −1.06974 0.605434i −0.0687656 0.0389187i
\(243\) −5.41961 + 14.6160i −0.347668 + 0.937618i
\(244\) −12.5188 3.12512i −0.801437 0.200065i
\(245\) 2.23629 + 8.34594i 0.142871 + 0.533203i
\(246\) 4.56120 + 12.2498i 0.290812 + 0.781017i
\(247\) −8.31748 14.4063i −0.529228 0.916650i
\(248\) −24.5426 + 15.0252i −1.55846 + 0.954101i
\(249\) 3.56848 + 1.66924i 0.226143 + 0.105784i
\(250\) 3.73355 14.4280i 0.236131 0.912510i
\(251\) 6.89508 + 6.89508i 0.435213 + 0.435213i 0.890397 0.455184i \(-0.150427\pi\)
−0.455184 + 0.890397i \(0.650427\pi\)
\(252\) 1.27329 1.10085i 0.0802098 0.0693469i
\(253\) 4.09562 4.09562i 0.257489 0.257489i
\(254\) −4.43501 + 2.61156i −0.278277 + 0.163864i
\(255\) 4.60604 + 6.59499i 0.288442 + 0.412994i
\(256\) −7.03044 + 14.3726i −0.439403 + 0.898290i
\(257\) 2.17437 1.25537i 0.135633 0.0783080i −0.430648 0.902520i \(-0.641715\pi\)
0.566281 + 0.824212i \(0.308382\pi\)
\(258\) −1.65240 17.4065i −0.102874 1.08368i
\(259\) 0.678152 0.181710i 0.0421383 0.0112909i
\(260\) −6.12812 + 3.67975i −0.380050 + 0.228209i
\(261\) 5.00130 + 10.7931i 0.309572 + 0.668074i
\(262\) −5.86164 21.1482i −0.362133 1.30654i
\(263\) −3.14718 1.81703i −0.194064 0.112043i 0.399820 0.916594i \(-0.369073\pi\)
−0.593884 + 0.804551i \(0.702406\pi\)
\(264\) 6.24103 14.2895i 0.384109 0.879457i
\(265\) 13.1244 7.57740i 0.806228 0.465476i
\(266\) −1.64394 1.61596i −0.100797 0.0990810i
\(267\) −2.09204 + 2.48711i −0.128031 + 0.152209i
\(268\) −5.59335 5.40454i −0.341668 0.330135i
\(269\) −12.3633 12.3633i −0.753802 0.753802i 0.221384 0.975187i \(-0.428942\pi\)
−0.975187 + 0.221384i \(0.928942\pi\)
\(270\) 2.33021 8.87273i 0.141812 0.539977i
\(271\) 27.2658i 1.65628i 0.560523 + 0.828139i \(0.310600\pi\)
−0.560523 + 0.828139i \(0.689400\pi\)
\(272\) 12.6245 7.87862i 0.765475 0.477711i
\(273\) −0.119574 1.38594i −0.00723694 0.0838811i
\(274\) 29.4329 0.252633i 1.77810 0.0152621i
\(275\) 10.5809 + 2.83514i 0.638053 + 0.170966i
\(276\) −4.89306 3.97441i −0.294528 0.239231i
\(277\) −16.7042 + 4.47587i −1.00366 + 0.268929i −0.722977 0.690872i \(-0.757227\pi\)
−0.280680 + 0.959801i \(0.590560\pi\)
\(278\) 0.313648 + 1.13161i 0.0188114 + 0.0678694i
\(279\) −19.5630 23.4285i −1.17121 1.40263i
\(280\) −0.682151 + 0.718217i −0.0407663 + 0.0429217i
\(281\) −7.04702 + 12.2058i −0.420390 + 0.728137i −0.995978 0.0896034i \(-0.971440\pi\)
0.575588 + 0.817740i \(0.304773\pi\)
\(282\) −17.1195 + 20.7107i −1.01945 + 1.23330i
\(283\) 0.628767 + 0.168478i 0.0373763 + 0.0100149i 0.277459 0.960738i \(-0.410508\pi\)
−0.240082 + 0.970753i \(0.577174\pi\)
\(284\) −18.6803 10.3617i −1.10847 0.614852i
\(285\) −12.3701 2.19653i −0.732740 0.130111i
\(286\) −6.53903 11.1047i −0.386661 0.656636i
\(287\) 1.49702 0.0883665
\(288\) −16.1691 5.15369i −0.952773 0.303684i
\(289\) 3.15927 0.185839
\(290\) −3.55209 6.03223i −0.208586 0.354225i
\(291\) −10.8531 29.9306i −0.636218 1.75456i
\(292\) −16.2727 9.02619i −0.952286 0.528218i
\(293\) −8.09169 2.16816i −0.472722 0.126665i 0.0145900 0.999894i \(-0.495356\pi\)
−0.487312 + 0.873228i \(0.662022\pi\)
\(294\) 5.91590 + 15.8880i 0.345022 + 0.926607i
\(295\) 3.48002 6.02757i 0.202615 0.350939i
\(296\) −5.13252 4.87478i −0.298322 0.283341i
\(297\) 15.9597 + 4.33821i 0.926077 + 0.251728i
\(298\) 2.00881 + 7.24757i 0.116367 + 0.419840i
\(299\) −5.03233 + 1.34841i −0.291027 + 0.0779804i
\(300\) 1.88255 11.7724i 0.108689 0.679678i
\(301\) −1.93424 0.518278i −0.111488 0.0298730i
\(302\) −4.34110 + 0.0372612i −0.249802 + 0.00214414i
\(303\) −25.3723 11.8685i −1.45760 0.681827i
\(304\) −5.24125 + 22.6431i −0.300606 + 1.29867i
\(305\) 8.05388i 0.461164i
\(306\) 10.2202 + 12.0283i 0.584251 + 0.687613i
\(307\) 10.1250 + 10.1250i 0.577865 + 0.577865i 0.934315 0.356449i \(-0.116013\pi\)
−0.356449 + 0.934315i \(0.616013\pi\)
\(308\) −1.28425 1.24090i −0.0731768 0.0707066i
\(309\) 0.208526 + 0.0370275i 0.0118626 + 0.00210642i
\(310\) 12.8096 + 12.5916i 0.727535 + 0.715152i
\(311\) −13.7848 + 7.95868i −0.781667 + 0.451295i −0.837021 0.547171i \(-0.815705\pi\)
0.0553539 + 0.998467i \(0.482371\pi\)
\(312\) −11.2881 + 8.32426i −0.639064 + 0.471268i
\(313\) −9.90266 5.71730i −0.559732 0.323161i 0.193306 0.981138i \(-0.438079\pi\)
−0.753038 + 0.657977i \(0.771412\pi\)
\(314\) −2.20514 7.95591i −0.124443 0.448978i
\(315\) −0.859168 0.604683i −0.0484086 0.0340700i
\(316\) −17.2446 + 10.3549i −0.970084 + 0.582507i
\(317\) 26.3682 7.06533i 1.48098 0.396828i 0.574302 0.818644i \(-0.305274\pi\)
0.906682 + 0.421815i \(0.138607\pi\)
\(318\) 24.2317 17.2351i 1.35885 0.966498i
\(319\) 10.9299 6.31036i 0.611955 0.353313i
\(320\) 9.76694 + 2.08482i 0.545989 + 0.116545i
\(321\) 14.5781 1.25774i 0.813670 0.0702004i
\(322\) −0.622109 + 0.366330i −0.0346688 + 0.0204148i
\(323\) 15.2853 15.2853i 0.850495 0.850495i
\(324\) 2.90646 17.7638i 0.161470 0.986878i
\(325\) −6.96714 6.96714i −0.386467 0.386467i
\(326\) 6.29128 24.3122i 0.348442 1.34653i
\(327\) 0.717795 + 8.31973i 0.0396941 + 0.460082i
\(328\) −7.88082 12.8728i −0.435145 0.710779i
\(329\) 1.53868 + 2.66507i 0.0848301 + 0.146930i
\(330\) −9.59724 1.61932i −0.528311 0.0891406i
\(331\) 2.97493 + 11.1026i 0.163517 + 0.610254i 0.998225 + 0.0595605i \(0.0189699\pi\)
−0.834708 + 0.550693i \(0.814363\pi\)
\(332\) −4.41362 1.10178i −0.242229 0.0604682i
\(333\) 4.32118 6.13978i 0.236799 0.336458i
\(334\) 17.1726 + 9.71902i 0.939640 + 0.531801i
\(335\) −2.42740 + 4.20439i −0.132623 + 0.229710i
\(336\) −1.19931 + 1.52943i −0.0654277 + 0.0834375i
\(337\) 4.37194 + 7.57242i 0.238155 + 0.412496i 0.960185 0.279366i \(-0.0901242\pi\)
−0.722030 + 0.691862i \(0.756791\pi\)
\(338\) −0.0583068 6.79300i −0.00317147 0.369490i
\(339\) 0.669016 3.76766i 0.0363360 0.204631i
\(340\) −6.67986 6.45437i −0.362266 0.350037i
\(341\) −22.8983 + 22.8983i −1.24001 + 1.24001i
\(342\) −24.5706 1.99681i −1.32863 0.107975i
\(343\) 3.90537 0.210870
\(344\) 5.72584 + 19.3607i 0.308717 + 1.04386i
\(345\) −1.66719 + 3.56409i −0.0897583 + 0.191884i
\(346\) −2.49538 2.45291i −0.134153 0.131869i
\(347\) 0.832493 3.10690i 0.0446905 0.166787i −0.939974 0.341246i \(-0.889151\pi\)
0.984664 + 0.174459i \(0.0558176\pi\)
\(348\) −8.05710 11.1245i −0.431906 0.596334i
\(349\) 8.57705 + 32.0100i 0.459119 + 1.71346i 0.675687 + 0.737188i \(0.263847\pi\)
−0.216568 + 0.976268i \(0.569486\pi\)
\(350\) −1.18827 0.672516i −0.0635157 0.0359475i
\(351\) −10.4811 10.5570i −0.559439 0.563493i
\(352\) −3.90965 + 17.5756i −0.208385 + 0.936782i
\(353\) −7.18886 4.15049i −0.382624 0.220908i 0.296335 0.955084i \(-0.404235\pi\)
−0.678959 + 0.734176i \(0.737569\pi\)
\(354\) 5.68004 12.4194i 0.301891 0.660082i
\(355\) −3.45099 + 12.8793i −0.183160 + 0.683561i
\(356\) 1.82031 3.28170i 0.0964762 0.173930i
\(357\) 1.69941 0.616220i 0.0899423 0.0326138i
\(358\) 18.4691 + 4.77925i 0.976120 + 0.252591i
\(359\) 17.1616i 0.905754i −0.891573 0.452877i \(-0.850398\pi\)
0.891573 0.452877i \(-0.149602\pi\)
\(360\) −0.676670 + 10.5711i −0.0356636 + 0.557148i
\(361\) 14.7612i 0.776903i
\(362\) 3.42647 13.2413i 0.180091 0.695949i
\(363\) −0.263201 + 1.48225i −0.0138145 + 0.0777981i
\(364\) 0.442312 + 1.54420i 0.0231834 + 0.0809379i
\(365\) −3.00621 + 11.2193i −0.157352 + 0.587246i
\(366\) 1.49345 + 15.7322i 0.0780640 + 0.822334i
\(367\) −1.27977 0.738875i −0.0668034 0.0385690i 0.466226 0.884666i \(-0.345613\pi\)
−0.533030 + 0.846097i \(0.678947\pi\)
\(368\) 6.42502 + 3.42097i 0.334927 + 0.178331i
\(369\) 12.2884 10.2609i 0.639710 0.534162i
\(370\) −2.17625 + 3.84522i −0.113138 + 0.199903i
\(371\) −0.881424 3.28952i −0.0457612 0.170783i
\(372\) 27.3567 + 22.2206i 1.41838 + 1.15208i
\(373\) 8.48049 31.6496i 0.439103 1.63876i −0.291948 0.956434i \(-0.594304\pi\)
0.731052 0.682322i \(-0.239030\pi\)
\(374\) 11.7393 11.9426i 0.607025 0.617536i
\(375\) −18.1852 + 1.56895i −0.939078 + 0.0810200i
\(376\) 14.8166 27.2607i 0.764106 1.40587i
\(377\) −11.3521 −0.584661
\(378\) −1.79040 1.02185i −0.0920881 0.0525583i
\(379\) 19.2548 19.2548i 0.989053 0.989053i −0.0108880 0.999941i \(-0.503466\pi\)
0.999941 + 0.0108880i \(0.00346583\pi\)
\(380\) 14.5050 0.249022i 0.744092 0.0127746i
\(381\) 4.82390 + 4.05763i 0.247136 + 0.207879i
\(382\) −20.0423 + 0.172031i −1.02545 + 0.00880186i
\(383\) −3.99635 6.92189i −0.204204 0.353692i 0.745675 0.666310i \(-0.232127\pi\)
−0.949879 + 0.312618i \(0.898794\pi\)
\(384\) 19.4650 + 2.26130i 0.993320 + 0.115397i
\(385\) −0.557338 + 0.965338i −0.0284046 + 0.0491982i
\(386\) 9.01383 15.9266i 0.458792 0.810641i
\(387\) −19.4297 + 9.00336i −0.987669 + 0.457667i
\(388\) 18.9252 + 31.5173i 0.960782 + 1.60005i
\(389\) −2.21212 8.25574i −0.112159 0.418583i 0.886900 0.461962i \(-0.152854\pi\)
−0.999059 + 0.0433793i \(0.986188\pi\)
\(390\) 6.74770 + 5.57765i 0.341683 + 0.282435i
\(391\) −3.38502 5.86303i −0.171188 0.296506i
\(392\) −10.2215 16.6960i −0.516261 0.843277i
\(393\) −22.0354 + 15.3899i −1.11154 + 0.776316i
\(394\) −15.5342 4.01980i −0.782602 0.202514i
\(395\) 8.87792 + 8.87792i 0.446697 + 0.446697i
\(396\) −19.0472 1.38348i −0.957158 0.0695225i
\(397\) 21.9949 21.9949i 1.10389 1.10389i 0.109957 0.993936i \(-0.464929\pi\)
0.993936 0.109957i \(-0.0350713\pi\)
\(398\) 7.83606 + 13.3073i 0.392786 + 0.667037i
\(399\) −1.19624 + 2.55731i −0.0598870 + 0.128026i
\(400\) 0.472540 + 13.7582i 0.0236270 + 0.687908i
\(401\) −15.4215 + 8.90359i −0.770111 + 0.444624i −0.832914 0.553402i \(-0.813329\pi\)
0.0628030 + 0.998026i \(0.479996\pi\)
\(402\) −3.96198 + 8.66283i −0.197606 + 0.432063i
\(403\) 28.1353 7.53883i 1.40152 0.375536i
\(404\) 31.3813 + 7.83379i 1.56128 + 0.389746i
\(405\) −11.1972 + 0.925337i −0.556392 + 0.0459803i
\(406\) −1.51596 + 0.420178i −0.0752357 + 0.0208531i
\(407\) −6.89849 3.98284i −0.341945 0.197422i
\(408\) −14.2451 11.3691i −0.705235 0.562853i
\(409\) 21.0100 12.1301i 1.03888 0.599797i 0.119363 0.992851i \(-0.461915\pi\)
0.919515 + 0.393054i \(0.128581\pi\)
\(410\) −6.60436 + 6.71871i −0.326166 + 0.331814i
\(411\) −12.2887 33.8899i −0.606159 1.67166i
\(412\) −0.244515 + 0.00419784i −0.0120464 + 0.000206813i
\(413\) −1.10595 1.10595i −0.0544202 0.0544202i
\(414\) −2.59573 + 7.27112i −0.127573 + 0.357356i
\(415\) 2.83946i 0.139383i
\(416\) 10.9499 11.9325i 0.536864 0.585041i
\(417\) 1.17908 0.823490i 0.0577399 0.0403265i
\(418\) 0.224485 + 26.1535i 0.0109799 + 1.27921i
\(419\) 11.0392 + 2.95796i 0.539302 + 0.144506i 0.518180 0.855271i \(-0.326610\pi\)
0.0211217 + 0.999777i \(0.493276\pi\)
\(420\) 1.10754 + 0.495086i 0.0540423 + 0.0241577i
\(421\) 16.7104 4.47753i 0.814413 0.218221i 0.172511 0.985008i \(-0.444812\pi\)
0.641903 + 0.766786i \(0.278145\pi\)
\(422\) −23.0131 + 6.37853i −1.12026 + 0.310502i
\(423\) 30.8973 + 11.3300i 1.50228 + 0.550883i
\(424\) −23.6461 + 24.8964i −1.14836 + 1.20907i
\(425\) 6.40186 11.0883i 0.310536 0.537864i
\(426\) −4.35281 + 25.7979i −0.210894 + 1.24991i
\(427\) 1.74819 + 0.468425i 0.0846006 + 0.0226687i
\(428\) −16.2427 + 4.65247i −0.785120 + 0.224886i
\(429\) −10.1598 + 12.0784i −0.490520 + 0.583153i
\(430\) 10.8593 6.39449i 0.523680 0.308370i
\(431\) 33.7821 1.62723 0.813613 0.581407i \(-0.197498\pi\)
0.813613 + 0.581407i \(0.197498\pi\)
\(432\) 0.638453 + 20.7748i 0.0307176 + 0.999528i
\(433\) −32.7436 −1.57356 −0.786779 0.617235i \(-0.788253\pi\)
−0.786779 + 0.617235i \(0.788253\pi\)
\(434\) 3.47816 2.04812i 0.166957 0.0983129i
\(435\) −5.51894 + 6.56117i −0.264613 + 0.314584i
\(436\) −2.65517 9.26972i −0.127160 0.443939i
\(437\) 10.2133 + 2.73664i 0.488567 + 0.130911i
\(438\) −3.79179 + 22.4729i −0.181179 + 1.07380i
\(439\) −14.7258 + 25.5058i −0.702824 + 1.21733i 0.264647 + 0.964345i \(0.414745\pi\)
−0.967471 + 0.252982i \(0.918589\pi\)
\(440\) 11.2349 0.289356i 0.535601 0.0137945i
\(441\) 15.9382 13.3085i 0.758960 0.633736i
\(442\) −14.5156 + 4.02329i −0.690437 + 0.191368i
\(443\) −8.80422 + 2.35908i −0.418301 + 0.112083i −0.461830 0.886969i \(-0.652807\pi\)
0.0435282 + 0.999052i \(0.486140\pi\)
\(444\) −3.53798 + 7.91467i −0.167905 + 0.375614i
\(445\) −2.26259 0.606260i −0.107257 0.0287395i
\(446\) −0.173218 20.1807i −0.00820213 0.955584i
\(447\) 7.55162 5.27417i 0.357179 0.249460i
\(448\) 1.02059 1.99877i 0.0482184 0.0944329i
\(449\) 2.79179i 0.131753i −0.997828 0.0658765i \(-0.979016\pi\)
0.997828 0.0658765i \(-0.0209843\pi\)
\(450\) −14.3636 + 2.62426i −0.677105 + 0.123709i
\(451\) −12.0103 12.0103i −0.565543 0.565543i
\(452\) 0.0758469 + 4.41792i 0.00356754 + 0.207802i
\(453\) 1.81248 + 4.99847i 0.0851579 + 0.234848i
\(454\) 8.72971 8.88087i 0.409706 0.416800i
\(455\) 0.868300 0.501313i 0.0407065 0.0235019i
\(456\) 28.2875 3.17614i 1.32468 0.148736i
\(457\) 1.90950 + 1.10245i 0.0893226 + 0.0515704i 0.543996 0.839088i \(-0.316911\pi\)
−0.454673 + 0.890658i \(0.650244\pi\)
\(458\) −33.9728 + 9.41623i −1.58744 + 0.439992i
\(459\) 9.72604 16.7064i 0.453972 0.779788i
\(460\) 1.10043 4.40818i 0.0513076 0.205532i
\(461\) −19.1849 + 5.14058i −0.893531 + 0.239421i −0.676236 0.736685i \(-0.736390\pi\)
−0.217295 + 0.976106i \(0.569723\pi\)
\(462\) −0.909680 + 1.98901i −0.0423222 + 0.0925370i
\(463\) −1.39347 + 0.804523i −0.0647602 + 0.0373893i −0.532031 0.846725i \(-0.678571\pi\)
0.467270 + 0.884115i \(0.345238\pi\)
\(464\) 11.5936 + 10.8236i 0.538217 + 0.502474i
\(465\) 9.32109 19.9265i 0.432255 0.924070i
\(466\) −4.67365 7.93688i −0.216503 0.367669i
\(467\) −9.94383 + 9.94383i −0.460145 + 0.460145i −0.898703 0.438558i \(-0.855489\pi\)
0.438558 + 0.898703i \(0.355489\pi\)
\(468\) 14.2150 + 9.64395i 0.657089 + 0.445792i
\(469\) 0.771428 + 0.771428i 0.0356213 + 0.0356213i
\(470\) −18.7491 4.85171i −0.864831 0.223793i
\(471\) −8.28968 + 5.78964i −0.381968 + 0.266772i
\(472\) −3.68787 + 15.3320i −0.169748 + 0.705713i
\(473\) 11.3600 + 19.6760i 0.522331 + 0.904704i
\(474\) 18.9881 + 15.6956i 0.872152 + 0.720922i
\(475\) 5.17561 + 19.3156i 0.237473 + 0.886262i
\(476\) −1.78950 + 1.07454i −0.0820217 + 0.0492516i
\(477\) −29.7823 20.9608i −1.36364 0.959729i
\(478\) 3.30045 5.83157i 0.150959 0.266730i
\(479\) 14.3867 24.9185i 0.657346 1.13856i −0.323955 0.946073i \(-0.605013\pi\)
0.981300 0.192483i \(-0.0616542\pi\)
\(480\) −1.57323 12.1299i −0.0718080 0.553651i
\(481\) 3.58248 + 6.20504i 0.163347 + 0.282925i
\(482\) 21.0372 0.180570i 0.958219 0.00822475i
\(483\) 0.676659 + 0.569174i 0.0307891 + 0.0258983i
\(484\) −0.0298393 1.73808i −0.00135633 0.0790034i
\(485\) 16.2259 16.2259i 0.736778 0.736778i
\(486\) −21.7006 + 3.88384i −0.984359 + 0.176175i
\(487\) 43.0194 1.94939 0.974697 0.223530i \(-0.0717581\pi\)
0.974697 + 0.223530i \(0.0717581\pi\)
\(488\) −5.17507 17.4984i −0.234265 0.792116i
\(489\) −30.6432 + 2.64377i −1.38573 + 0.119556i
\(490\) −8.56588 + 8.71420i −0.386967 + 0.393667i
\(491\) 1.40962 5.26076i 0.0636152 0.237415i −0.926796 0.375565i \(-0.877449\pi\)
0.990411 + 0.138150i \(0.0441155\pi\)
\(492\) −11.6549 + 14.3488i −0.525441 + 0.646892i
\(493\) −3.81801 14.2490i −0.171955 0.641744i
\(494\) 11.5874 20.4738i 0.521341 0.921159i
\(495\) 2.04168 + 11.7442i 0.0917667 + 0.527861i
\(496\) −35.9217 19.1264i −1.61293 0.858800i
\(497\) 2.59488 + 1.49815i 0.116396 + 0.0672013i
\(498\) 0.526528 + 5.54650i 0.0235943 + 0.248545i
\(499\) −4.61454 + 17.2217i −0.206575 + 0.770950i 0.782388 + 0.622791i \(0.214001\pi\)
−0.988964 + 0.148159i \(0.952665\pi\)
\(500\) 20.2616 5.80364i 0.906128 0.259547i
\(501\) 4.22516 23.7946i 0.188766 1.06306i
\(502\) −3.45469 + 13.3504i −0.154191 + 0.595858i
\(503\) 0.254767i 0.0113595i 0.999984 + 0.00567974i \(0.00180793\pi\)
−0.999984 + 0.00567974i \(0.998192\pi\)
\(504\) 2.25523 + 0.761711i 0.100456 + 0.0339293i
\(505\) 20.1888i 0.898391i
\(506\) 7.93004 + 2.05206i 0.352533 + 0.0912252i
\(507\) −7.82166 + 2.83620i −0.347372 + 0.125960i
\(508\) −6.36506 3.53060i −0.282404 0.156645i
\(509\) 2.84712 10.6256i 0.126196 0.470971i −0.873683 0.486495i \(-0.838275\pi\)
0.999879 + 0.0155245i \(0.00494181\pi\)
\(510\) −4.73159 + 10.3456i −0.209518 + 0.458110i
\(511\) 2.26043 + 1.30506i 0.0999956 + 0.0577325i
\(512\) −22.5599 + 1.74619i −0.997018 + 0.0771716i
\(513\) 7.70890 + 29.1912i 0.340356 + 1.28882i
\(514\) 3.09015 + 1.74891i 0.136301 + 0.0771410i
\(515\) 0.0395075 + 0.147444i 0.00174091 + 0.00649716i
\(516\) 20.0263 14.5044i 0.881611 0.638522i
\(517\) 9.03680 33.7258i 0.397438 1.48326i
\(518\) 0.708074 + 0.696023i 0.0311110 + 0.0305815i
\(519\) −1.81581 + 3.88180i −0.0797050 + 0.170392i
\(520\) −8.88175 4.82735i −0.389491 0.211693i
\(521\) −8.17552 −0.358176 −0.179088 0.983833i \(-0.557315\pi\)
−0.179088 + 0.983833i \(0.557315\pi\)
\(522\) −9.56386 + 13.8398i −0.418599 + 0.605750i
\(523\) −11.4305 + 11.4305i −0.499820 + 0.499820i −0.911382 0.411562i \(-0.864983\pi\)
0.411562 + 0.911382i \(0.364983\pi\)
\(524\) 21.5655 22.3189i 0.942095 0.975008i
\(525\) −0.292364 + 1.64649i −0.0127598 + 0.0718586i
\(526\) −0.0441112 5.13914i −0.00192334 0.224077i
\(527\) 18.9254 + 32.7797i 0.824403 + 1.42791i
\(528\) 21.8921 2.64853i 0.952733 0.115262i
\(529\) −9.84425 + 17.0507i −0.428011 + 0.741337i
\(530\) 18.6521 + 10.5564i 0.810193 + 0.458539i
\(531\) −16.6587 1.49786i −0.722925 0.0650014i
\(532\) 0.789579 3.16296i 0.0342326 0.137132i
\(533\) 3.95417 + 14.7572i 0.171274 + 0.639204i
\(534\) −4.53210 0.764689i −0.196123 0.0330913i
\(535\) 5.27308 + 9.13325i 0.227975 + 0.394865i
\(536\) 2.57239 10.6945i 0.111110 0.461931i
\(537\) −2.00838 23.2785i −0.0866679 1.00454i
\(538\) 6.19447 23.9381i 0.267063 1.03204i
\(539\) −15.5774 15.5774i −0.670967 0.670967i
\(540\) 12.4847 3.52734i 0.537257 0.151793i
\(541\) 9.93863 9.93863i 0.427295 0.427295i −0.460411 0.887706i \(-0.652298\pi\)
0.887706 + 0.460411i \(0.152298\pi\)
\(542\) −33.2269 + 19.5657i −1.42722 + 0.840420i
\(543\) −16.6894 + 1.43990i −0.716212 + 0.0617920i
\(544\) 18.6604 + 9.73101i 0.800058 + 0.417214i
\(545\) −5.21235 + 3.00935i −0.223273 + 0.128906i
\(546\) 1.60315 1.14026i 0.0686084 0.0487986i
\(547\) 2.81747 0.754938i 0.120466 0.0322788i −0.198082 0.980185i \(-0.563471\pi\)
0.318548 + 0.947907i \(0.396805\pi\)
\(548\) 21.4287 + 35.6865i 0.915388 + 1.52445i
\(549\) 17.5608 8.13733i 0.749476 0.347293i
\(550\) 4.13779 + 14.9287i 0.176436 + 0.636562i
\(551\) 19.9527 + 11.5197i 0.850012 + 0.490755i
\(552\) 1.33211 8.81484i 0.0566985 0.375184i
\(553\) 2.44341 1.41070i 0.103904 0.0599891i
\(554\) −17.4412 17.1444i −0.741007 0.728395i
\(555\) 5.32800 + 0.946083i 0.226161 + 0.0401590i
\(556\) −1.15394 + 1.19426i −0.0489380 + 0.0506477i
\(557\) 11.5964 + 11.5964i 0.491356 + 0.491356i 0.908733 0.417377i \(-0.137051\pi\)
−0.417377 + 0.908733i \(0.637051\pi\)
\(558\) 14.5125 40.6522i 0.614362 1.72095i
\(559\) 20.4360i 0.864352i
\(560\) −1.36475 0.315902i −0.0576711 0.0133493i
\(561\) −18.5778 8.69021i −0.784356 0.366901i
\(562\) −19.9312 + 0.171077i −0.840749 + 0.00721646i
\(563\) −7.42718 1.99011i −0.313018 0.0838730i 0.0988898 0.995098i \(-0.468471\pi\)
−0.411908 + 0.911225i \(0.635138\pi\)
\(564\) −37.5235 6.00048i −1.58002 0.252666i
\(565\) 2.66403 0.713826i 0.112077 0.0300309i
\(566\) 0.245887 + 0.887133i 0.0103354 + 0.0372890i
\(567\) −0.450388 + 2.48429i −0.0189145 + 0.104330i
\(568\) −0.777802 30.1998i −0.0326359 1.26716i
\(569\) −11.7897 + 20.4204i −0.494250 + 0.856066i −0.999978 0.00662697i \(-0.997891\pi\)
0.505728 + 0.862693i \(0.331224\pi\)
\(570\) −6.19992 16.6508i −0.259686 0.697424i
\(571\) −7.46185 1.99940i −0.312269 0.0836722i 0.0992811 0.995059i \(-0.468346\pi\)
−0.411550 + 0.911387i \(0.635012\pi\)
\(572\) 8.84019 15.9373i 0.369627 0.666373i
\(573\) 8.36802 + 23.0773i 0.349579 + 0.964069i
\(574\) 1.07425 + 1.82432i 0.0448385 + 0.0761456i
\(575\) 6.26280 0.261177
\(576\) −5.32238 23.4024i −0.221766 0.975100i
\(577\) 16.4238 0.683733 0.341866 0.939749i \(-0.388941\pi\)
0.341866 + 0.939749i \(0.388941\pi\)
\(578\) 2.26707 + 3.84998i 0.0942976 + 0.160138i
\(579\) −22.0681 3.91859i −0.917119 0.162851i
\(580\) 4.80210 8.65737i 0.199397 0.359478i
\(581\) 0.616336 + 0.165147i 0.0255699 + 0.00685144i
\(582\) 28.6862 34.7038i 1.18908 1.43852i
\(583\) −19.3196 + 33.4626i −0.800137 + 1.38588i
\(584\) −0.677554 26.3075i −0.0280374 1.08861i
\(585\) 3.69140 10.0666i 0.152621 0.416202i
\(586\) −3.16435 11.4166i −0.130718 0.471617i
\(587\) −44.0249 + 11.7964i −1.81710 + 0.486891i −0.996424 0.0844969i \(-0.973072\pi\)
−0.820680 + 0.571388i \(0.806405\pi\)
\(588\) −15.1164 + 18.6104i −0.623390 + 0.767481i
\(589\) −57.1015 15.3003i −2.35283 0.630438i
\(590\) 9.84262 0.0844828i 0.405214 0.00347810i
\(591\) 1.68923 + 19.5794i 0.0694858 + 0.805388i
\(592\) 2.25750 9.75275i 0.0927825 0.400836i
\(593\) 9.66931i 0.397071i −0.980094 0.198535i \(-0.936382\pi\)
0.980094 0.198535i \(-0.0636185\pi\)
\(594\) 6.16590 + 22.5621i 0.252990 + 0.925733i
\(595\) 0.921278 + 0.921278i 0.0377687 + 0.0377687i
\(596\) −7.39060 + 7.64880i −0.302731 + 0.313307i
\(597\) 12.1750 14.4742i 0.498290 0.592390i
\(598\) −5.25437 5.16494i −0.214867 0.211210i
\(599\) −8.99479 + 5.19314i −0.367517 + 0.212186i −0.672373 0.740212i \(-0.734725\pi\)
0.304856 + 0.952398i \(0.401392\pi\)
\(600\) 15.6971 6.15364i 0.640830 0.251221i
\(601\) −16.6353 9.60440i −0.678569 0.391772i 0.120747 0.992683i \(-0.461471\pi\)
−0.799316 + 0.600912i \(0.794804\pi\)
\(602\) −0.756407 2.72903i −0.0308288 0.111227i
\(603\) 11.6199 + 1.04479i 0.473197 + 0.0425473i
\(604\) −3.16055 5.26345i −0.128601 0.214167i
\(605\) −1.04807 + 0.280829i −0.0426101 + 0.0114173i
\(606\) −3.74367 39.4362i −0.152076 1.60199i
\(607\) −12.1261 + 7.00100i −0.492183 + 0.284162i −0.725480 0.688244i \(-0.758382\pi\)
0.233297 + 0.972406i \(0.425049\pi\)
\(608\) −31.3546 + 9.86134i −1.27160 + 0.399930i
\(609\) 1.10319 + 1.57955i 0.0447033 + 0.0640068i
\(610\) −9.81470 + 5.77941i −0.397386 + 0.234001i
\(611\) −22.2072 + 22.2072i −0.898406 + 0.898406i
\(612\) −7.32412 + 21.0861i −0.296060 + 0.852355i
\(613\) 17.8303 + 17.8303i 0.720159 + 0.720159i 0.968637 0.248478i \(-0.0799304\pi\)
−0.248478 + 0.968637i \(0.579930\pi\)
\(614\) −5.07302 + 19.6043i −0.204730 + 0.791165i
\(615\) 10.4516 + 4.88898i 0.421449 + 0.197143i
\(616\) 0.590627 2.45548i 0.0237970 0.0989341i
\(617\) −24.3668 42.2045i −0.980970 1.69909i −0.658630 0.752467i \(-0.728864\pi\)
−0.322340 0.946624i \(-0.604469\pi\)
\(618\) 0.104514 + 0.280686i 0.00420415 + 0.0112909i
\(619\) −2.99775 11.1877i −0.120490 0.449673i 0.879149 0.476547i \(-0.158112\pi\)
−0.999639 + 0.0268731i \(0.991445\pi\)
\(620\) −6.15239 + 24.6457i −0.247086 + 0.989797i
\(621\) 9.45565 + 0.0341372i 0.379442 + 0.00136988i
\(622\) −19.5906 11.0875i −0.785511 0.444570i
\(623\) −0.263191 + 0.455861i −0.0105445 + 0.0182637i
\(624\) −18.2445 7.78261i −0.730363 0.311554i
\(625\) 2.02612 + 3.50934i 0.0810447 + 0.140374i
\(626\) −0.138796 16.1704i −0.00554742 0.646299i
\(627\) 30.1139 10.9196i 1.20264 0.436085i
\(628\) 8.11292 8.39635i 0.323741 0.335051i
\(629\) −6.58363 + 6.58363i −0.262506 + 0.262506i
\(630\) 0.120352 1.48092i 0.00479495 0.0590015i
\(631\) 1.63509 0.0650918 0.0325459 0.999470i \(-0.489638\pi\)
0.0325459 + 0.999470i \(0.489638\pi\)
\(632\) −24.9934 13.5842i −0.994182 0.540351i
\(633\) 16.7470 + 23.9785i 0.665632 + 0.953060i
\(634\) 27.5316 + 27.0630i 1.09342 + 1.07481i
\(635\) −1.17588 + 4.38844i −0.0466633 + 0.174150i
\(636\) 38.3918 + 17.1617i 1.52233 + 0.680507i
\(637\) 5.12858 + 19.1401i 0.203202 + 0.758359i
\(638\) 15.5332 + 8.79120i 0.614965 + 0.348047i
\(639\) 31.5689 5.48814i 1.24885 0.217107i
\(640\) 4.46806 + 13.3983i 0.176616 + 0.529616i
\(641\) −33.5608 19.3763i −1.32557 0.765319i −0.340960 0.940078i \(-0.610752\pi\)
−0.984611 + 0.174759i \(0.944085\pi\)
\(642\) 11.9939 + 16.8628i 0.473360 + 0.665521i
\(643\) 5.22528 19.5010i 0.206065 0.769044i −0.783058 0.621949i \(-0.786341\pi\)
0.989122 0.147095i \(-0.0469924\pi\)
\(644\) −0.892842 0.495245i −0.0351829 0.0195154i
\(645\) −11.8115 9.93523i −0.465076 0.391199i
\(646\) 29.5957 + 7.65850i 1.16443 + 0.301320i
\(647\) 28.2882i 1.11212i 0.831141 + 0.556062i \(0.187688\pi\)
−0.831141 + 0.556062i \(0.812312\pi\)
\(648\) 23.7332 9.20527i 0.932327 0.361617i
\(649\) 17.7456i 0.696575i
\(650\) 3.49080 13.4899i 0.136920 0.529119i
\(651\) −3.78315 3.18220i −0.148273 0.124720i
\(652\) 34.1421 9.77950i 1.33711 0.382995i
\(653\) 0.228971 0.854532i 0.00896033 0.0334404i −0.961301 0.275500i \(-0.911156\pi\)
0.970261 + 0.242060i \(0.0778231\pi\)
\(654\) −9.62360 + 6.84491i −0.376312 + 0.267657i
\(655\) −16.7766 9.68599i −0.655517 0.378463i
\(656\) 10.0319 18.8412i 0.391681 0.735625i
\(657\) 27.5001 4.78079i 1.07288 0.186517i
\(658\) −2.14359 + 3.78752i −0.0835659 + 0.147653i
\(659\) 13.0375 + 48.6567i 0.507869 + 1.89539i 0.440704 + 0.897653i \(0.354729\pi\)
0.0671656 + 0.997742i \(0.478604\pi\)
\(660\) −4.91356 12.8575i −0.191260 0.500478i
\(661\) −7.17239 + 26.7677i −0.278974 + 1.04114i 0.674158 + 0.738587i \(0.264507\pi\)
−0.953131 + 0.302557i \(0.902160\pi\)
\(662\) −11.3952 + 11.5925i −0.442886 + 0.450555i
\(663\) 10.5632 + 15.1246i 0.410242 + 0.587390i
\(664\) −1.82451 6.16920i −0.0708048 0.239411i
\(665\) −2.03486 −0.0789086
\(666\) 10.5830 + 0.860060i 0.410082 + 0.0333267i
\(667\) 5.10222 5.10222i 0.197559 0.197559i
\(668\) 0.479010 + 27.9013i 0.0185334 + 1.07953i
\(669\) −23.2367 + 8.42580i −0.898381 + 0.325760i
\(670\) −6.86548 + 0.0589290i −0.265237 + 0.00227663i
\(671\) −10.2672 17.7834i −0.396363 0.686520i
\(672\) −2.72443 0.364003i −0.105097 0.0140417i
\(673\) −16.5237 + 28.6198i −0.636941 + 1.10321i 0.349160 + 0.937063i \(0.386467\pi\)
−0.986100 + 0.166150i \(0.946866\pi\)
\(674\) −6.09071 + 10.7617i −0.234605 + 0.414525i
\(675\) 8.88549 + 15.5192i 0.342003 + 0.597336i
\(676\) 8.23631 4.94566i 0.316781 0.190218i
\(677\) 2.69118 + 10.0436i 0.103430 + 0.386007i 0.998162 0.0605961i \(-0.0193002\pi\)
−0.894732 + 0.446603i \(0.852633\pi\)
\(678\) 5.07147 1.88836i 0.194768 0.0725221i
\(679\) −2.57829 4.46572i −0.0989455 0.171379i
\(680\) 3.07207 12.7719i 0.117809 0.489779i
\(681\) −13.8150 6.46231i −0.529393 0.247636i
\(682\) −44.3362 11.4729i −1.69772 0.439320i
\(683\) −9.18142 9.18142i −0.351317 0.351317i 0.509282 0.860600i \(-0.329911\pi\)
−0.860600 + 0.509282i \(0.829911\pi\)
\(684\) −15.1983 31.3754i −0.581122 1.19967i
\(685\) 18.3723 18.3723i 0.701968 0.701968i
\(686\) 2.80247 + 4.75920i 0.106999 + 0.181707i
\(687\) 24.7225 + 35.3980i 0.943223 + 1.35052i
\(688\) −19.4847 + 20.8708i −0.742848 + 0.795691i
\(689\) 30.0988 17.3776i 1.14667 0.662033i
\(690\) −5.53967 + 0.525880i −0.210891 + 0.0200199i
\(691\) 24.3744 6.53111i 0.927247 0.248455i 0.236567 0.971615i \(-0.423978\pi\)
0.690680 + 0.723160i \(0.257311\pi\)
\(692\) 1.19852 4.80114i 0.0455610 0.182512i
\(693\) 2.66795 + 0.239887i 0.101347 + 0.00911256i
\(694\) 4.38356 1.21499i 0.166398 0.0461204i
\(695\) 0.897694 + 0.518284i 0.0340515 + 0.0196596i
\(696\) 7.77491 17.8015i 0.294707 0.674763i
\(697\) −17.1932 + 9.92649i −0.651239 + 0.375993i
\(698\) −32.8535 + 33.4224i −1.24352 + 1.26506i
\(699\) −7.26153 + 8.63283i −0.274656 + 0.326524i
\(700\) −0.0331455 1.93066i −0.00125278 0.0729719i
\(701\) 32.8695 + 32.8695i 1.24146 + 1.24146i 0.959394 + 0.282069i \(0.0910207\pi\)
0.282069 + 0.959394i \(0.408979\pi\)
\(702\) 5.34398 20.3482i 0.201695 0.767994i
\(703\) 14.5415i 0.548443i
\(704\) −24.2237 + 7.84770i −0.912965 + 0.295771i
\(705\) 2.03883 + 23.6314i 0.0767867 + 0.890011i
\(706\) −0.100760 11.7389i −0.00379213 0.441800i
\(707\) −4.38221 1.17421i −0.164810 0.0441607i
\(708\) 19.2106 1.99017i 0.721977 0.0747951i
\(709\) 41.1714 11.0318i 1.54622 0.414310i 0.617953 0.786215i \(-0.287962\pi\)
0.928271 + 0.371905i \(0.121295\pi\)
\(710\) −18.1715 + 5.03659i −0.681964 + 0.189020i
\(711\) 10.3876 28.3275i 0.389567 1.06236i
\(712\) 5.30542 0.136642i 0.198829 0.00512088i
\(713\) −9.25715 + 16.0339i −0.346683 + 0.600473i
\(714\) 1.97043 + 1.62876i 0.0737414 + 0.0609548i
\(715\) −10.9881 2.94426i −0.410932 0.110109i
\(716\) 7.42912 + 25.9365i 0.277639 + 0.969293i
\(717\) −8.08031 1.43481i −0.301765 0.0535838i
\(718\) 20.9136 12.3150i 0.780490 0.459593i
\(719\) −8.84226 −0.329761 −0.164880 0.986314i \(-0.552724\pi\)
−0.164880 + 0.986314i \(0.552724\pi\)
\(720\) −13.3679 + 6.76117i −0.498192 + 0.251974i
\(721\) 0.0343022 0.00127748
\(722\) −17.9884 + 10.5925i −0.669459 + 0.394212i
\(723\) −8.78340 24.2229i −0.326658 0.900858i
\(724\) 18.5951 5.32629i 0.691082 0.197950i
\(725\) 13.1814 + 3.53195i 0.489545 + 0.131173i
\(726\) −1.99519 + 0.742909i −0.0740484 + 0.0275719i
\(727\) 11.4146 19.7707i 0.423344 0.733254i −0.572920 0.819611i \(-0.694189\pi\)
0.996264 + 0.0863576i \(0.0275228\pi\)
\(728\) −1.56441 + 1.64712i −0.0579807 + 0.0610463i
\(729\) 13.3308 + 23.4796i 0.493734 + 0.869613i
\(730\) −15.8294 + 4.38744i −0.585873 + 0.162387i
\(731\) 25.6512 6.87321i 0.948743 0.254215i
\(732\) −18.1000 + 13.1093i −0.668996 + 0.484532i
\(733\) −28.8645 7.73423i −1.06614 0.285670i −0.317232 0.948348i \(-0.602753\pi\)
−0.748905 + 0.662678i \(0.769420\pi\)
\(734\) −0.0179373 2.08978i −0.000662079 0.0771351i
\(735\) 13.5558 + 6.34103i 0.500012 + 0.233892i
\(736\) 0.441643 + 10.2846i 0.0162792 + 0.379095i
\(737\) 12.3780i 0.455950i
\(738\) 21.3224 + 7.61190i 0.784887 + 0.280198i
\(739\) 6.92568 + 6.92568i 0.254765 + 0.254765i 0.822921 0.568156i \(-0.192343\pi\)
−0.568156 + 0.822921i \(0.692343\pi\)
\(740\) −6.24756 + 0.107258i −0.229665 + 0.00394289i
\(741\) −28.3688 5.03740i −1.04215 0.185053i
\(742\) 3.37620 3.43467i 0.123944 0.126091i
\(743\) 27.7583 16.0262i 1.01835 0.587946i 0.104726 0.994501i \(-0.466603\pi\)
0.913626 + 0.406555i \(0.133270\pi\)
\(744\) −7.44774 + 49.2830i −0.273047 + 1.80680i
\(745\) 5.74942 + 3.31943i 0.210642 + 0.121614i
\(746\) 44.6548 12.3770i 1.63493 0.453153i
\(747\) 6.19119 2.86888i 0.226524 0.104967i
\(748\) 22.9776 + 5.73597i 0.840145 + 0.209728i
\(749\) 2.28916 0.613380i 0.0836442 0.0224124i
\(750\) −14.9615 21.0351i −0.546317 0.768095i
\(751\) −7.35037 + 4.24374i −0.268219 + 0.154856i −0.628078 0.778151i \(-0.716158\pi\)
0.359859 + 0.933007i \(0.382825\pi\)
\(752\) 43.8530 1.50618i 1.59916 0.0549248i
\(753\) 16.8269 1.45176i 0.613207 0.0529051i
\(754\) −8.14615 13.8340i −0.296665 0.503803i
\(755\) −2.70975 + 2.70975i −0.0986179 + 0.0986179i
\(756\) −0.0395199 2.91511i −0.00143732 0.106021i
\(757\) −15.2511 15.2511i −0.554309 0.554309i 0.373372 0.927682i \(-0.378201\pi\)
−0.927682 + 0.373372i \(0.878201\pi\)
\(758\) 37.2816 + 9.64738i 1.35413 + 0.350409i
\(759\) −0.862335 9.99505i −0.0313008 0.362797i
\(760\) 10.7122 + 17.4976i 0.388571 + 0.634704i
\(761\) 1.63439 + 2.83084i 0.0592465 + 0.102618i 0.894127 0.447813i \(-0.147797\pi\)
−0.834881 + 0.550431i \(0.814464\pi\)
\(762\) −1.48316 + 8.79028i −0.0537293 + 0.318438i
\(763\) 0.350056 + 1.30643i 0.0126729 + 0.0472959i
\(764\) −14.5919 24.3007i −0.527915 0.879170i
\(765\) 13.8770 + 1.24774i 0.501725 + 0.0451123i
\(766\) 5.56747 9.83718i 0.201161 0.355432i
\(767\) 7.98088 13.8233i 0.288173 0.499130i
\(768\) 11.2123 + 25.3433i 0.404588 + 0.914499i
\(769\) 19.1814 + 33.2232i 0.691701 + 1.19806i 0.971280 + 0.237938i \(0.0764716\pi\)
−0.279580 + 0.960123i \(0.590195\pi\)
\(770\) −1.57633 + 0.0135302i −0.0568071 + 0.000487596i
\(771\) 0.760304 4.28176i 0.0273817 0.154204i
\(772\) 25.8769 0.444254i 0.931328 0.0159891i
\(773\) 20.0548 20.0548i 0.721320 0.721320i −0.247554