Properties

Label 546.2.bu.b.197.1
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.1
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.b.449.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.64483 + 0.542708i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(1.01262 + 1.01262i) q^{5} +(-0.0985019 - 1.72925i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.41094 - 1.78532i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.64483 + 0.542708i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(1.01262 + 1.01262i) q^{5} +(-0.0985019 - 1.72925i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.41094 - 1.78532i) q^{9} +(-1.24020 + 0.716030i) q^{10} +(5.93999 + 1.59162i) q^{11} +(1.69582 + 0.352417i) q^{12} +(-2.27066 + 2.80073i) q^{13} -1.00000i q^{14} +(-2.21514 - 1.11603i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-3.35614 + 5.81300i) q^{17} +(1.10050 + 2.79086i) q^{18} +(0.0419710 + 0.156638i) q^{19} +(-0.370644 - 1.38326i) q^{20} +(1.44832 - 0.949929i) q^{21} +(-3.07476 + 5.32565i) q^{22} +(-1.55923 - 2.70067i) q^{23} +(-0.779319 + 1.54682i) q^{24} -2.94920i q^{25} +(-2.11761 - 2.91818i) q^{26} +(-2.99667 + 4.24499i) q^{27} +(0.965926 + 0.258819i) q^{28} +(-6.86770 + 3.96507i) q^{29} +(1.65132 - 1.85081i) q^{30} +(2.28135 - 2.28135i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-10.6341 + 0.605740i) q^{33} +(-4.74629 - 4.74629i) q^{34} +(-1.24020 - 0.716030i) q^{35} +(-2.98059 + 0.340668i) q^{36} +(-1.39698 + 5.21359i) q^{37} -0.162163 q^{38} +(2.21488 - 5.83903i) q^{39} +1.43206 q^{40} +(-0.728231 + 2.71779i) q^{41} +(0.542708 + 1.64483i) q^{42} +(-1.39389 - 0.804764i) q^{43} +(-4.34837 - 4.34837i) q^{44} +(4.24921 + 0.633506i) q^{45} +(3.01221 - 0.807119i) q^{46} +(-1.71389 + 1.71389i) q^{47} +(-1.29241 - 1.15311i) q^{48} +(0.866025 - 0.500000i) q^{49} +(2.84871 + 0.763310i) q^{50} +(2.36552 - 11.3828i) q^{51} +(3.36682 - 1.29017i) q^{52} +8.12791i q^{53} +(-3.32475 - 3.99325i) q^{54} +(4.40325 + 7.62665i) q^{55} +(-0.500000 + 0.866025i) q^{56} +(-0.154044 - 0.234865i) q^{57} +(-2.05247 - 7.65992i) q^{58} +(-1.78883 - 6.67601i) q^{59} +(1.36036 + 2.07408i) q^{60} +(-4.36155 + 7.55443i) q^{61} +(1.61316 + 2.79408i) q^{62} +(-1.86671 + 2.34849i) q^{63} -1.00000i q^{64} +(-5.13539 + 0.536755i) q^{65} +(2.16720 - 10.4285i) q^{66} +(5.05737 + 1.35512i) q^{67} +(5.81300 - 3.35614i) q^{68} +(4.03035 + 3.59594i) q^{69} +(1.01262 - 1.01262i) q^{70} +(-9.93919 + 2.66320i) q^{71} +(0.442374 - 2.96720i) q^{72} +(2.46804 + 2.46804i) q^{73} +(-4.67438 - 2.69875i) q^{74} +(1.60056 + 4.85094i) q^{75} +(0.0419710 - 0.156638i) q^{76} -6.14953 q^{77} +(5.06682 + 3.65066i) q^{78} +5.05115 q^{79} +(-0.370644 + 1.38326i) q^{80} +(2.62523 - 8.60861i) q^{81} +(-2.43671 - 1.40683i) q^{82} +(3.93809 + 3.93809i) q^{83} +(-1.72925 + 0.0985019i) q^{84} +(-9.28484 + 2.48787i) q^{85} +(1.13811 - 1.13811i) q^{86} +(9.14433 - 10.2490i) q^{87} +(5.32565 - 3.07476i) q^{88} +(10.2688 + 2.75151i) q^{89} +(-1.71170 + 3.94046i) q^{90} +(1.46841 - 3.29299i) q^{91} +3.11847i q^{92} +(-2.51433 + 4.99055i) q^{93} +(-1.21190 - 2.09907i) q^{94} +(-0.116114 + 0.201115i) q^{95} +(1.44832 - 0.949929i) q^{96} +(-1.05510 - 3.93768i) q^{97} +(0.258819 + 0.965926i) q^{98} +(17.1625 - 6.76753i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.64483 + 0.542708i −0.949643 + 0.313332i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 1.01262 + 1.01262i 0.452857 + 0.452857i 0.896302 0.443445i \(-0.146244\pi\)
−0.443445 + 0.896302i \(0.646244\pi\)
\(6\) −0.0985019 1.72925i −0.0402132 0.705962i
\(7\) −0.965926 + 0.258819i −0.365086 + 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.41094 1.78532i 0.803646 0.595108i
\(10\) −1.24020 + 0.716030i −0.392186 + 0.226429i
\(11\) 5.93999 + 1.59162i 1.79097 + 0.479890i 0.992511 0.122154i \(-0.0389801\pi\)
0.798463 + 0.602044i \(0.205647\pi\)
\(12\) 1.69582 + 0.352417i 0.489541 + 0.101734i
\(13\) −2.27066 + 2.80073i −0.629769 + 0.776783i
\(14\) 1.00000i 0.267261i
\(15\) −2.21514 1.11603i −0.571948 0.288158i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −3.35614 + 5.81300i −0.813983 + 1.40986i 0.0960735 + 0.995374i \(0.469372\pi\)
−0.910056 + 0.414485i \(0.863962\pi\)
\(18\) 1.10050 + 2.79086i 0.259389 + 0.657812i
\(19\) 0.0419710 + 0.156638i 0.00962880 + 0.0359352i 0.970573 0.240807i \(-0.0774120\pi\)
−0.960944 + 0.276742i \(0.910745\pi\)
\(20\) −0.370644 1.38326i −0.0828786 0.309307i
\(21\) 1.44832 0.949929i 0.316050 0.207291i
\(22\) −3.07476 + 5.32565i −0.655542 + 1.13543i
\(23\) −1.55923 2.70067i −0.325123 0.563129i 0.656414 0.754401i \(-0.272072\pi\)
−0.981537 + 0.191271i \(0.938739\pi\)
\(24\) −0.779319 + 1.54682i −0.159078 + 0.315744i
\(25\) 2.94920i 0.589841i
\(26\) −2.11761 2.91818i −0.415297 0.572301i
\(27\) −2.99667 + 4.24499i −0.576710 + 0.816949i
\(28\) 0.965926 + 0.258819i 0.182543 + 0.0489122i
\(29\) −6.86770 + 3.96507i −1.27530 + 0.736295i −0.975980 0.217858i \(-0.930093\pi\)
−0.299319 + 0.954153i \(0.596760\pi\)
\(30\) 1.65132 1.85081i 0.301489 0.337911i
\(31\) 2.28135 2.28135i 0.409743 0.409743i −0.471906 0.881649i \(-0.656434\pi\)
0.881649 + 0.471906i \(0.156434\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −10.6341 + 0.605740i −1.85115 + 0.105446i
\(34\) −4.74629 4.74629i −0.813983 0.813983i
\(35\) −1.24020 0.716030i −0.209632 0.121031i
\(36\) −2.98059 + 0.340668i −0.496766 + 0.0567781i
\(37\) −1.39698 + 5.21359i −0.229662 + 0.857109i 0.750821 + 0.660506i \(0.229658\pi\)
−0.980483 + 0.196604i \(0.937009\pi\)
\(38\) −0.162163 −0.0263064
\(39\) 2.21488 5.83903i 0.354665 0.934994i
\(40\) 1.43206 0.226429
\(41\) −0.728231 + 2.71779i −0.113731 + 0.424448i −0.999189 0.0402708i \(-0.987178\pi\)
0.885458 + 0.464719i \(0.153845\pi\)
\(42\) 0.542708 + 1.64483i 0.0837416 + 0.253803i
\(43\) −1.39389 0.804764i −0.212566 0.122725i 0.389937 0.920841i \(-0.372497\pi\)
−0.602504 + 0.798116i \(0.705830\pi\)
\(44\) −4.34837 4.34837i −0.655542 0.655542i
\(45\) 4.24921 + 0.633506i 0.633436 + 0.0944376i
\(46\) 3.01221 0.807119i 0.444126 0.119003i
\(47\) −1.71389 + 1.71389i −0.249996 + 0.249996i −0.820969 0.570973i \(-0.806566\pi\)
0.570973 + 0.820969i \(0.306566\pi\)
\(48\) −1.29241 1.15311i −0.186544 0.166437i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) 2.84871 + 0.763310i 0.402869 + 0.107948i
\(51\) 2.36552 11.3828i 0.331239 1.59391i
\(52\) 3.36682 1.29017i 0.466894 0.178915i
\(53\) 8.12791i 1.11645i 0.829688 + 0.558227i \(0.188518\pi\)
−0.829688 + 0.558227i \(0.811482\pi\)
\(54\) −3.32475 3.99325i −0.452441 0.543412i
\(55\) 4.40325 + 7.62665i 0.593734 + 1.02838i
\(56\) −0.500000 + 0.866025i −0.0668153 + 0.115728i
\(57\) −0.154044 0.234865i −0.0204036 0.0311086i
\(58\) −2.05247 7.65992i −0.269503 1.00580i
\(59\) −1.78883 6.67601i −0.232886 0.869142i −0.979090 0.203425i \(-0.934793\pi\)
0.746205 0.665717i \(-0.231874\pi\)
\(60\) 1.36036 + 2.07408i 0.175621 + 0.267763i
\(61\) −4.36155 + 7.55443i −0.558440 + 0.967246i 0.439187 + 0.898395i \(0.355266\pi\)
−0.997627 + 0.0688502i \(0.978067\pi\)
\(62\) 1.61316 + 2.79408i 0.204872 + 0.354848i
\(63\) −1.86671 + 2.34849i −0.235183 + 0.295882i
\(64\) 1.00000i 0.125000i
\(65\) −5.13539 + 0.536755i −0.636967 + 0.0665762i
\(66\) 2.16720 10.4285i 0.266763 1.28366i
\(67\) 5.05737 + 1.35512i 0.617857 + 0.165554i 0.554153 0.832415i \(-0.313042\pi\)
0.0637034 + 0.997969i \(0.479709\pi\)
\(68\) 5.81300 3.35614i 0.704930 0.406991i
\(69\) 4.03035 + 3.59594i 0.485197 + 0.432900i
\(70\) 1.01262 1.01262i 0.121031 0.121031i
\(71\) −9.93919 + 2.66320i −1.17956 + 0.316063i −0.794754 0.606932i \(-0.792400\pi\)
−0.384811 + 0.922995i \(0.625733\pi\)
\(72\) 0.442374 2.96720i 0.0521343 0.349688i
\(73\) 2.46804 + 2.46804i 0.288862 + 0.288862i 0.836630 0.547768i \(-0.184522\pi\)
−0.547768 + 0.836630i \(0.684522\pi\)
\(74\) −4.67438 2.69875i −0.543386 0.313724i
\(75\) 1.60056 + 4.85094i 0.184816 + 0.560139i
\(76\) 0.0419710 0.156638i 0.00481440 0.0179676i
\(77\) −6.14953 −0.700804
\(78\) 5.06682 + 3.65066i 0.573704 + 0.413356i
\(79\) 5.05115 0.568298 0.284149 0.958780i \(-0.408289\pi\)
0.284149 + 0.958780i \(0.408289\pi\)
\(80\) −0.370644 + 1.38326i −0.0414393 + 0.154654i
\(81\) 2.62523 8.60861i 0.291692 0.956512i
\(82\) −2.43671 1.40683i −0.269089 0.155359i
\(83\) 3.93809 + 3.93809i 0.432261 + 0.432261i 0.889397 0.457136i \(-0.151125\pi\)
−0.457136 + 0.889397i \(0.651125\pi\)
\(84\) −1.72925 + 0.0985019i −0.188676 + 0.0107474i
\(85\) −9.28484 + 2.48787i −1.00708 + 0.269847i
\(86\) 1.13811 1.13811i 0.122725 0.122725i
\(87\) 9.14433 10.2490i 0.980375 1.09881i
\(88\) 5.32565 3.07476i 0.567716 0.327771i
\(89\) 10.2688 + 2.75151i 1.08849 + 0.291659i 0.758068 0.652175i \(-0.226143\pi\)
0.330419 + 0.943834i \(0.392810\pi\)
\(90\) −1.71170 + 3.94046i −0.180429 + 0.415361i
\(91\) 1.46841 3.29299i 0.153931 0.345199i
\(92\) 3.11847i 0.325123i
\(93\) −2.51433 + 4.99055i −0.260724 + 0.517496i
\(94\) −1.21190 2.09907i −0.124998 0.216503i
\(95\) −0.116114 + 0.201115i −0.0119130 + 0.0206340i
\(96\) 1.44832 0.949929i 0.147819 0.0969517i
\(97\) −1.05510 3.93768i −0.107129 0.399811i 0.891449 0.453121i \(-0.149689\pi\)
−0.998578 + 0.0533101i \(0.983023\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) 17.1625 6.76753i 1.72489 0.680162i
\(100\) −1.47460 + 2.55409i −0.147460 + 0.255409i
\(101\) 5.63686 + 9.76334i 0.560889 + 0.971488i 0.997419 + 0.0717986i \(0.0228739\pi\)
−0.436530 + 0.899690i \(0.643793\pi\)
\(102\) 10.3827 + 5.23100i 1.02804 + 0.517946i
\(103\) 6.36367i 0.627031i −0.949583 0.313516i \(-0.898493\pi\)
0.949583 0.313516i \(-0.101507\pi\)
\(104\) 0.374813 + 3.58602i 0.0367534 + 0.351638i
\(105\) 2.42851 + 0.504682i 0.236999 + 0.0492519i
\(106\) −7.85096 2.10366i −0.762553 0.204325i
\(107\) 13.3862 7.72854i 1.29410 0.747147i 0.314718 0.949185i \(-0.398090\pi\)
0.979378 + 0.202039i \(0.0647566\pi\)
\(108\) 4.71769 2.17793i 0.453960 0.209572i
\(109\) 10.9344 10.9344i 1.04732 1.04732i 0.0485013 0.998823i \(-0.484555\pi\)
0.998823 0.0485013i \(-0.0154445\pi\)
\(110\) −8.50642 + 2.27929i −0.811055 + 0.217322i
\(111\) −0.531665 9.33363i −0.0504634 0.885909i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −10.5422 6.08657i −0.991731 0.572576i −0.0859400 0.996300i \(-0.527389\pi\)
−0.905791 + 0.423724i \(0.860723\pi\)
\(114\) 0.266731 0.0880073i 0.0249817 0.00824264i
\(115\) 1.15584 4.31366i 0.107783 0.402251i
\(116\) 7.93014 0.736295
\(117\) −0.474215 + 10.8063i −0.0438412 + 0.999039i
\(118\) 6.91151 0.636256
\(119\) 1.73726 6.48356i 0.159255 0.594347i
\(120\) −2.35550 + 0.777190i −0.215026 + 0.0709474i
\(121\) 23.2240 + 13.4084i 2.11127 + 1.21894i
\(122\) −6.16817 6.16817i −0.558440 0.558440i
\(123\) −0.277152 4.86553i −0.0249899 0.438710i
\(124\) −3.11639 + 0.835033i −0.279860 + 0.0749882i
\(125\) 8.04952 8.04952i 0.719971 0.719971i
\(126\) −1.78532 2.41094i −0.159049 0.214783i
\(127\) −5.34018 + 3.08315i −0.473864 + 0.273586i −0.717856 0.696192i \(-0.754876\pi\)
0.243992 + 0.969777i \(0.421543\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 2.72947 + 0.567224i 0.240316 + 0.0499413i
\(130\) 0.810672 5.09933i 0.0711006 0.447241i
\(131\) 4.60034i 0.401934i 0.979598 + 0.200967i \(0.0644083\pi\)
−0.979598 + 0.200967i \(0.935592\pi\)
\(132\) 9.51224 + 4.79244i 0.827934 + 0.417129i
\(133\) −0.0810817 0.140438i −0.00703067 0.0121775i
\(134\) −2.61789 + 4.53432i −0.226151 + 0.391705i
\(135\) −7.33305 + 1.26407i −0.631128 + 0.108794i
\(136\) 1.73726 + 6.48356i 0.148969 + 0.555960i
\(137\) 3.12108 + 11.6480i 0.266652 + 0.995158i 0.961232 + 0.275742i \(0.0889236\pi\)
−0.694580 + 0.719416i \(0.744410\pi\)
\(138\) −4.51654 + 2.96232i −0.384474 + 0.252170i
\(139\) −3.90855 + 6.76981i −0.331519 + 0.574208i −0.982810 0.184620i \(-0.940894\pi\)
0.651291 + 0.758828i \(0.274228\pi\)
\(140\) 0.716030 + 1.24020i 0.0605156 + 0.104816i
\(141\) 1.88891 3.74919i 0.159075 0.315739i
\(142\) 10.2898i 0.863501i
\(143\) −17.9454 + 13.0223i −1.50067 + 1.08898i
\(144\) 2.75160 + 1.19527i 0.229300 + 0.0996058i
\(145\) −10.9695 2.93926i −0.910965 0.244092i
\(146\) −3.02272 + 1.74517i −0.250162 + 0.144431i
\(147\) −1.15311 + 1.29241i −0.0951070 + 0.106597i
\(148\) 3.81662 3.81662i 0.313724 0.313724i
\(149\) −14.6256 + 3.91893i −1.19818 + 0.321051i −0.802114 0.597172i \(-0.796291\pi\)
−0.396065 + 0.918223i \(0.629624\pi\)
\(150\) −5.09991 + 0.290502i −0.416406 + 0.0237194i
\(151\) 14.0334 + 14.0334i 1.14202 + 1.14202i 0.988080 + 0.153940i \(0.0491963\pi\)
0.153940 + 0.988080i \(0.450804\pi\)
\(152\) 0.140438 + 0.0810817i 0.0113910 + 0.00657659i
\(153\) 2.28666 + 20.0066i 0.184865 + 1.61743i
\(154\) 1.59162 5.93999i 0.128256 0.478658i
\(155\) 4.62028 0.371110
\(156\) −4.83766 + 3.94931i −0.387323 + 0.316198i
\(157\) 11.1221 0.887637 0.443819 0.896117i \(-0.353623\pi\)
0.443819 + 0.896117i \(0.353623\pi\)
\(158\) −1.30733 + 4.87903i −0.104006 + 0.388155i
\(159\) −4.41108 13.3690i −0.349822 1.06023i
\(160\) −1.24020 0.716030i −0.0980464 0.0566071i
\(161\) 2.20509 + 2.20509i 0.173785 + 0.173785i
\(162\) 7.63582 + 4.76385i 0.599927 + 0.374283i
\(163\) 12.2065 3.27073i 0.956089 0.256183i 0.253145 0.967428i \(-0.418535\pi\)
0.702944 + 0.711245i \(0.251868\pi\)
\(164\) 1.98956 1.98956i 0.155359 0.155359i
\(165\) −11.3816 10.1549i −0.886059 0.790555i
\(166\) −4.82315 + 2.78465i −0.374349 + 0.216131i
\(167\) −6.09250 1.63248i −0.471452 0.126325i 0.0152676 0.999883i \(-0.495140\pi\)
−0.486720 + 0.873558i \(0.661807\pi\)
\(168\) 0.352417 1.69582i 0.0271895 0.130835i
\(169\) −2.68817 12.7190i −0.206782 0.978387i
\(170\) 9.61238i 0.737236i
\(171\) 0.380839 + 0.302712i 0.0291235 + 0.0231490i
\(172\) 0.804764 + 1.39389i 0.0613627 + 0.106283i
\(173\) −1.05378 + 1.82519i −0.0801171 + 0.138767i −0.903300 0.429009i \(-0.858863\pi\)
0.823183 + 0.567776i \(0.192196\pi\)
\(174\) 7.53307 + 11.4854i 0.571080 + 0.870705i
\(175\) 0.763310 + 2.84871i 0.0577008 + 0.215342i
\(176\) 1.59162 + 5.93999i 0.119973 + 0.447744i
\(177\) 6.56544 + 10.0101i 0.493489 + 0.752404i
\(178\) −5.31551 + 9.20673i −0.398414 + 0.690073i
\(179\) −11.4325 19.8016i −0.854503 1.48004i −0.877105 0.480298i \(-0.840529\pi\)
0.0226027 0.999745i \(-0.492805\pi\)
\(180\) −3.36317 2.67324i −0.250676 0.199252i
\(181\) 17.3739i 1.29139i −0.763594 0.645697i \(-0.776567\pi\)
0.763594 0.645697i \(-0.223433\pi\)
\(182\) 2.80073 + 2.27066i 0.207604 + 0.168313i
\(183\) 3.07417 14.7928i 0.227249 1.09352i
\(184\) −3.01221 0.807119i −0.222063 0.0595016i
\(185\) −6.69399 + 3.86478i −0.492152 + 0.284144i
\(186\) −4.16974 3.72031i −0.305740 0.272786i
\(187\) −29.1875 + 29.1875i −2.13440 + 2.13440i
\(188\) 2.34121 0.627326i 0.170750 0.0457524i
\(189\) 1.79588 4.87594i 0.130631 0.354673i
\(190\) −0.164210 0.164210i −0.0119130 0.0119130i
\(191\) 12.2932 + 7.09748i 0.889505 + 0.513556i 0.873780 0.486321i \(-0.161661\pi\)
0.0157241 + 0.999876i \(0.494995\pi\)
\(192\) 0.542708 + 1.64483i 0.0391666 + 0.118705i
\(193\) 4.95428 18.4896i 0.356617 1.33091i −0.521820 0.853055i \(-0.674747\pi\)
0.878437 0.477858i \(-0.158586\pi\)
\(194\) 4.07659 0.292682
\(195\) 8.15555 3.66989i 0.584031 0.262806i
\(196\) −1.00000 −0.0714286
\(197\) 6.06475 22.6340i 0.432096 1.61260i −0.315827 0.948817i \(-0.602282\pi\)
0.747923 0.663786i \(-0.231051\pi\)
\(198\) 2.09495 + 18.3293i 0.148882 + 1.30260i
\(199\) −6.10110 3.52247i −0.432495 0.249701i 0.267914 0.963443i \(-0.413666\pi\)
−0.700409 + 0.713742i \(0.746999\pi\)
\(200\) −2.08540 2.08540i −0.147460 0.147460i
\(201\) −9.05396 + 0.515734i −0.638617 + 0.0363771i
\(202\) −10.8896 + 2.91786i −0.766189 + 0.205300i
\(203\) 5.60745 5.60745i 0.393566 0.393566i
\(204\) −7.74000 + 8.67504i −0.541908 + 0.607374i
\(205\) −3.48951 + 2.01467i −0.243718 + 0.140711i
\(206\) 6.14683 + 1.64704i 0.428270 + 0.114755i
\(207\) −8.58079 3.72741i −0.596406 0.259073i
\(208\) −3.56083 0.566088i −0.246899 0.0392511i
\(209\) 0.997228i 0.0689797i
\(210\) −1.11603 + 2.21514i −0.0770134 + 0.152859i
\(211\) 7.00393 + 12.1312i 0.482171 + 0.835144i 0.999791 0.0204668i \(-0.00651522\pi\)
−0.517620 + 0.855611i \(0.673182\pi\)
\(212\) 4.06396 7.03898i 0.279114 0.483439i
\(213\) 14.9029 9.77458i 1.02113 0.669743i
\(214\) 4.00059 + 14.9304i 0.273475 + 1.02062i
\(215\) −0.596562 2.22640i −0.0406852 0.151839i
\(216\) 0.882694 + 5.12063i 0.0600597 + 0.348415i
\(217\) −1.61316 + 2.79408i −0.109508 + 0.189674i
\(218\) 7.73178 + 13.3918i 0.523662 + 0.907010i
\(219\) −5.39894 2.72009i −0.364826 0.183806i
\(220\) 8.80649i 0.593734i
\(221\) −8.65998 22.5990i −0.582533 1.52017i
\(222\) 9.15320 + 1.90217i 0.614322 + 0.127665i
\(223\) −28.3377 7.59306i −1.89763 0.508469i −0.997315 0.0732348i \(-0.976668\pi\)
−0.900317 0.435234i \(-0.856666\pi\)
\(224\) 0.866025 0.500000i 0.0578638 0.0334077i
\(225\) −5.26529 7.11035i −0.351019 0.474023i
\(226\) 8.60771 8.60771i 0.572576 0.572576i
\(227\) 10.9930 2.94557i 0.729631 0.195504i 0.125166 0.992136i \(-0.460054\pi\)
0.604465 + 0.796632i \(0.293387\pi\)
\(228\) 0.0159734 + 0.280421i 0.00105786 + 0.0185713i
\(229\) 6.80059 + 6.80059i 0.449395 + 0.449395i 0.895153 0.445758i \(-0.147066\pi\)
−0.445758 + 0.895153i \(0.647066\pi\)
\(230\) 3.86752 + 2.23292i 0.255017 + 0.147234i
\(231\) 10.1149 3.33740i 0.665514 0.219585i
\(232\) −2.05247 + 7.65992i −0.134751 + 0.502899i
\(233\) −3.30963 −0.216821 −0.108411 0.994106i \(-0.534576\pi\)
−0.108411 + 0.994106i \(0.534576\pi\)
\(234\) −10.3153 3.25492i −0.674333 0.212781i
\(235\) −3.47103 −0.226425
\(236\) −1.78883 + 6.67601i −0.116443 + 0.434571i
\(237\) −8.30828 + 2.74130i −0.539681 + 0.178066i
\(238\) 5.81300 + 3.35614i 0.376801 + 0.217546i
\(239\) 11.9734 + 11.9734i 0.774492 + 0.774492i 0.978888 0.204396i \(-0.0655230\pi\)
−0.204396 + 0.978888i \(0.565523\pi\)
\(240\) −0.141061 2.47639i −0.00910542 0.159850i
\(241\) −26.9210 + 7.21346i −1.73413 + 0.464660i −0.981129 0.193354i \(-0.938063\pi\)
−0.753006 + 0.658014i \(0.771397\pi\)
\(242\) −18.9623 + 18.9623i −1.21894 + 1.21894i
\(243\) 0.353900 + 15.5844i 0.0227027 + 0.999742i
\(244\) 7.55443 4.36155i 0.483623 0.279220i
\(245\) 1.38326 + 0.370644i 0.0883735 + 0.0236796i
\(246\) 4.77147 + 0.991583i 0.304218 + 0.0632210i
\(247\) −0.534002 0.238122i −0.0339777 0.0151514i
\(248\) 3.22632i 0.204872i
\(249\) −8.61471 4.34025i −0.545935 0.275052i
\(250\) 5.69187 + 9.85860i 0.359985 + 0.623513i
\(251\) 11.6110 20.1109i 0.732881 1.26939i −0.222765 0.974872i \(-0.571508\pi\)
0.955647 0.294516i \(-0.0951583\pi\)
\(252\) 2.79086 1.10050i 0.175808 0.0693247i
\(253\) −4.96340 18.5237i −0.312046 1.16457i
\(254\) −1.59596 5.95620i −0.100139 0.373725i
\(255\) 13.9218 9.13107i 0.871817 0.571810i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −10.8682 18.8242i −0.677937 1.17422i −0.975601 0.219550i \(-0.929541\pi\)
0.297664 0.954671i \(-0.403792\pi\)
\(258\) −1.25433 + 2.48965i −0.0780915 + 0.154999i
\(259\) 5.39751i 0.335385i
\(260\) 4.71576 + 2.10285i 0.292459 + 0.130413i
\(261\) −9.47865 + 21.8206i −0.586714 + 1.35066i
\(262\) −4.44359 1.19066i −0.274526 0.0735590i
\(263\) 6.30441 3.63985i 0.388747 0.224443i −0.292870 0.956152i \(-0.594610\pi\)
0.681617 + 0.731709i \(0.261277\pi\)
\(264\) −7.09109 + 7.94774i −0.436427 + 0.489149i
\(265\) −8.23048 + 8.23048i −0.505594 + 0.505594i
\(266\) 0.156638 0.0419710i 0.00960408 0.00257340i
\(267\) −18.3837 + 1.04718i −1.12506 + 0.0640861i
\(268\) −3.70225 3.70225i −0.226151 0.226151i
\(269\) 16.1674 + 9.33424i 0.985743 + 0.569119i 0.903999 0.427534i \(-0.140618\pi\)
0.0817439 + 0.996653i \(0.473951\pi\)
\(270\) 0.676934 7.41035i 0.0411969 0.450979i
\(271\) −3.19612 + 11.9281i −0.194151 + 0.724580i 0.798334 + 0.602214i \(0.205715\pi\)
−0.992485 + 0.122366i \(0.960952\pi\)
\(272\) −6.71227 −0.406991
\(273\) −0.628157 + 6.21333i −0.0380178 + 0.376048i
\(274\) −12.0589 −0.728506
\(275\) 4.69400 17.5182i 0.283059 1.05639i
\(276\) −1.69242 5.12935i −0.101872 0.308751i
\(277\) 27.0494 + 15.6170i 1.62524 + 0.938333i 0.985486 + 0.169754i \(0.0542974\pi\)
0.639755 + 0.768579i \(0.279036\pi\)
\(278\) −5.52753 5.52753i −0.331519 0.331519i
\(279\) 1.42724 9.57315i 0.0854467 0.573130i
\(280\) −1.38326 + 0.370644i −0.0826658 + 0.0221502i
\(281\) −9.52174 + 9.52174i −0.568019 + 0.568019i −0.931573 0.363554i \(-0.881563\pi\)
0.363554 + 0.931573i \(0.381563\pi\)
\(282\) 3.13255 + 2.79491i 0.186541 + 0.166435i
\(283\) 13.2517 7.65087i 0.787732 0.454797i −0.0514315 0.998677i \(-0.516378\pi\)
0.839163 + 0.543879i \(0.183045\pi\)
\(284\) 9.93919 + 2.66320i 0.589782 + 0.158032i
\(285\) 0.0818409 0.393816i 0.00484783 0.0233276i
\(286\) −7.93394 20.7043i −0.469144 1.22427i
\(287\) 2.81367i 0.166086i
\(288\) −1.86671 + 2.34849i −0.109997 + 0.138386i
\(289\) −14.0273 24.2960i −0.825135 1.42918i
\(290\) 5.67821 9.83496i 0.333436 0.577529i
\(291\) 3.87247 + 5.90421i 0.227008 + 0.346111i
\(292\) −0.903366 3.37141i −0.0528655 0.197297i
\(293\) −2.15518 8.04324i −0.125907 0.469891i 0.873963 0.485992i \(-0.161541\pi\)
−0.999870 + 0.0161006i \(0.994875\pi\)
\(294\) −0.949929 1.44832i −0.0554010 0.0844678i
\(295\) 4.94885 8.57166i 0.288133 0.499061i
\(296\) 2.69875 + 4.67438i 0.156862 + 0.271693i
\(297\) −24.5566 + 20.4457i −1.42492 + 1.18638i
\(298\) 15.1416i 0.877127i
\(299\) 11.1044 + 1.76533i 0.642181 + 0.102091i
\(300\) 1.03935 5.00132i 0.0600068 0.288751i
\(301\) 1.55468 + 0.416576i 0.0896105 + 0.0240111i
\(302\) −17.1873 + 9.92310i −0.989019 + 0.571010i
\(303\) −14.5703 12.9999i −0.837043 0.746823i
\(304\) −0.114667 + 0.114667i −0.00657659 + 0.00657659i
\(305\) −12.0664 + 3.23317i −0.690917 + 0.185131i
\(306\) −19.9167 2.96934i −1.13856 0.169746i
\(307\) 8.34685 + 8.34685i 0.476380 + 0.476380i 0.903972 0.427592i \(-0.140638\pi\)
−0.427592 + 0.903972i \(0.640638\pi\)
\(308\) 5.32565 + 3.07476i 0.303457 + 0.175201i
\(309\) 3.45361 + 10.4672i 0.196469 + 0.595456i
\(310\) −1.19582 + 4.46285i −0.0679179 + 0.253473i
\(311\) 26.0701 1.47830 0.739149 0.673542i \(-0.235228\pi\)
0.739149 + 0.673542i \(0.235228\pi\)
\(312\) −2.56266 5.69498i −0.145082 0.322415i
\(313\) 3.52605 0.199304 0.0996520 0.995022i \(-0.468227\pi\)
0.0996520 + 0.995022i \(0.468227\pi\)
\(314\) −2.87860 + 10.7431i −0.162449 + 0.606268i
\(315\) −4.26839 + 0.487857i −0.240497 + 0.0274877i
\(316\) −4.37442 2.52557i −0.246080 0.142075i
\(317\) −4.13339 4.13339i −0.232154 0.232154i 0.581437 0.813591i \(-0.302491\pi\)
−0.813591 + 0.581437i \(0.802491\pi\)
\(318\) 14.0552 0.800615i 0.788175 0.0448963i
\(319\) −47.1049 + 12.6217i −2.63737 + 0.706681i
\(320\) 1.01262 1.01262i 0.0566071 0.0566071i
\(321\) −17.8237 + 19.9770i −0.994824 + 1.11501i
\(322\) −2.70067 + 1.55923i −0.150503 + 0.0868927i
\(323\) −1.05140 0.281721i −0.0585012 0.0156753i
\(324\) −6.57782 + 6.14266i −0.365435 + 0.341259i
\(325\) 8.25993 + 6.69665i 0.458178 + 0.371463i
\(326\) 12.6371i 0.699906i
\(327\) −12.0510 + 23.9194i −0.666424 + 1.32275i
\(328\) 1.40683 + 2.43671i 0.0776794 + 0.134545i
\(329\) 1.21190 2.09907i 0.0668142 0.115726i
\(330\) 12.7546 8.36554i 0.702119 0.460508i
\(331\) −1.12226 4.18832i −0.0616848 0.230211i 0.928201 0.372080i \(-0.121355\pi\)
−0.989885 + 0.141869i \(0.954689\pi\)
\(332\) −1.44144 5.37952i −0.0791093 0.295240i
\(333\) 5.93993 + 15.0637i 0.325506 + 0.825486i
\(334\) 3.15371 5.46239i 0.172563 0.298889i
\(335\) 3.74897 + 6.49341i 0.204828 + 0.354773i
\(336\) 1.54682 + 0.779319i 0.0843861 + 0.0425153i
\(337\) 28.1885i 1.53552i 0.640735 + 0.767762i \(0.278630\pi\)
−0.640735 + 0.767762i \(0.721370\pi\)
\(338\) 12.9814 + 0.695353i 0.706095 + 0.0378222i
\(339\) 20.6434 + 4.29002i 1.12120 + 0.233002i
\(340\) 9.28484 + 2.48787i 0.503541 + 0.134923i
\(341\) 17.1822 9.92018i 0.930471 0.537208i
\(342\) −0.390966 + 0.289514i −0.0211410 + 0.0156551i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −1.55468 + 0.416576i −0.0838229 + 0.0224603i
\(345\) 0.439893 + 7.72253i 0.0236830 + 0.415767i
\(346\) −1.49026 1.49026i −0.0801171 0.0801171i
\(347\) 4.48337 + 2.58848i 0.240680 + 0.138957i 0.615489 0.788145i \(-0.288958\pi\)
−0.374809 + 0.927102i \(0.622292\pi\)
\(348\) −13.0437 + 4.30375i −0.699217 + 0.230705i
\(349\) −2.58678 + 9.65399i −0.138467 + 0.516766i 0.861492 + 0.507770i \(0.169530\pi\)
−0.999960 + 0.00899587i \(0.997136\pi\)
\(350\) −2.94920 −0.157642
\(351\) −5.08464 18.0318i −0.271398 0.962467i
\(352\) −6.14953 −0.327771
\(353\) −7.77840 + 29.0294i −0.414003 + 1.54508i 0.372822 + 0.927903i \(0.378390\pi\)
−0.786825 + 0.617176i \(0.788277\pi\)
\(354\) −11.3683 + 3.75093i −0.604217 + 0.199360i
\(355\) −12.7614 7.36781i −0.677306 0.391043i
\(356\) −7.51726 7.51726i −0.398414 0.398414i
\(357\) 0.661172 + 11.6072i 0.0349929 + 0.614317i
\(358\) 22.0858 5.91788i 1.16727 0.312770i
\(359\) −4.39884 + 4.39884i −0.232162 + 0.232162i −0.813594 0.581433i \(-0.802492\pi\)
0.581433 + 0.813594i \(0.302492\pi\)
\(360\) 3.45261 2.55669i 0.181968 0.134749i
\(361\) 16.4317 9.48685i 0.864827 0.499308i
\(362\) 16.7819 + 4.49670i 0.882039 + 0.236342i
\(363\) −45.4763 9.45066i −2.38689 0.496031i
\(364\) −2.91818 + 2.11761i −0.152954 + 0.110993i
\(365\) 4.99837i 0.261627i
\(366\) 13.4931 + 6.79808i 0.705296 + 0.355341i
\(367\) 2.35165 + 4.07318i 0.122755 + 0.212618i 0.920853 0.389909i \(-0.127494\pi\)
−0.798098 + 0.602528i \(0.794160\pi\)
\(368\) 1.55923 2.70067i 0.0812807 0.140782i
\(369\) 3.09643 + 7.85256i 0.161194 + 0.408788i
\(370\) −2.00056 7.46618i −0.104004 0.388148i
\(371\) −2.10366 7.85096i −0.109217 0.407602i
\(372\) 4.67275 3.06478i 0.242271 0.158901i
\(373\) 5.29582 9.17262i 0.274207 0.474940i −0.695728 0.718306i \(-0.744918\pi\)
0.969935 + 0.243365i \(0.0782514\pi\)
\(374\) −20.6387 35.7472i −1.06720 1.84844i
\(375\) −8.87156 + 17.6086i −0.458125 + 0.909306i
\(376\) 2.42380i 0.124998i
\(377\) 4.48915 28.2379i 0.231203 1.45433i
\(378\) 4.24499 + 2.99667i 0.218339 + 0.154132i
\(379\) −21.5507 5.77450i −1.10699 0.296616i −0.341380 0.939925i \(-0.610894\pi\)
−0.765607 + 0.643309i \(0.777561\pi\)
\(380\) 0.201115 0.116114i 0.0103170 0.00595651i
\(381\) 7.11044 7.96942i 0.364279 0.408286i
\(382\) −10.0374 + 10.0374i −0.513556 + 0.513556i
\(383\) −14.4047 + 3.85972i −0.736044 + 0.197222i −0.607319 0.794458i \(-0.707755\pi\)
−0.128725 + 0.991680i \(0.541088\pi\)
\(384\) −1.72925 + 0.0985019i −0.0882453 + 0.00502665i
\(385\) −6.22713 6.22713i −0.317364 0.317364i
\(386\) 16.5774 + 9.57094i 0.843765 + 0.487148i
\(387\) −4.79735 + 0.548315i −0.243863 + 0.0278724i
\(388\) −1.05510 + 3.93768i −0.0535645 + 0.199906i
\(389\) −14.6386 −0.742205 −0.371103 0.928592i \(-0.621020\pi\)
−0.371103 + 0.928592i \(0.621020\pi\)
\(390\) 1.43403 + 8.82749i 0.0726148 + 0.446997i
\(391\) 20.9320 1.05858
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) −2.49664 7.56678i −0.125939 0.381694i
\(394\) 20.2930 + 11.7162i 1.02235 + 0.590253i
\(395\) 5.11489 + 5.11489i 0.257358 + 0.257358i
\(396\) −18.2469 2.72039i −0.916942 0.136705i
\(397\) 22.0441 5.90671i 1.10636 0.296449i 0.341010 0.940060i \(-0.389231\pi\)
0.765353 + 0.643611i \(0.222564\pi\)
\(398\) 4.98153 4.98153i 0.249701 0.249701i
\(399\) 0.209582 + 0.186992i 0.0104922 + 0.00936133i
\(400\) 2.55409 1.47460i 0.127704 0.0737301i
\(401\) 19.3124 + 5.17474i 0.964414 + 0.258414i 0.706468 0.707745i \(-0.250288\pi\)
0.257946 + 0.966159i \(0.416954\pi\)
\(402\) 1.84518 8.87893i 0.0920290 0.442841i
\(403\) 1.20927 + 11.5696i 0.0602379 + 0.576325i
\(404\) 11.2737i 0.560889i
\(405\) 11.3756 6.05888i 0.565258 0.301068i
\(406\) 3.96507 + 6.86770i 0.196783 + 0.340838i
\(407\) −16.5961 + 28.7452i −0.822637 + 1.42485i
\(408\) −6.37618 9.72153i −0.315668 0.481287i
\(409\) −4.36347 16.2847i −0.215760 0.805226i −0.985898 0.167349i \(-0.946479\pi\)
0.770138 0.637877i \(-0.220187\pi\)
\(410\) −1.04287 3.89204i −0.0515037 0.192214i
\(411\) −11.4551 17.4652i −0.565039 0.861495i
\(412\) −3.18184 + 5.51110i −0.156758 + 0.271512i
\(413\) 3.45576 + 5.98554i 0.170047 + 0.294529i
\(414\) 5.82128 7.32368i 0.286100 0.359939i
\(415\) 7.97556i 0.391505i
\(416\) 1.46841 3.29299i 0.0719948 0.161452i
\(417\) 2.75488 13.2564i 0.134907 0.649168i
\(418\) −0.963248 0.258102i −0.0471140 0.0126242i
\(419\) 27.4158 15.8285i 1.33935 0.773275i 0.352640 0.935759i \(-0.385284\pi\)
0.986711 + 0.162484i \(0.0519506\pi\)
\(420\) −1.85081 1.65132i −0.0903105 0.0805764i
\(421\) −10.9210 + 10.9210i −0.532256 + 0.532256i −0.921243 0.388987i \(-0.872825\pi\)
0.388987 + 0.921243i \(0.372825\pi\)
\(422\) −13.5306 + 3.62550i −0.658657 + 0.176487i
\(423\) −1.07223 + 7.19191i −0.0521334 + 0.349683i
\(424\) 5.74730 + 5.74730i 0.279114 + 0.279114i
\(425\) 17.1437 + 9.89793i 0.831593 + 0.480120i
\(426\) 5.58436 + 16.9250i 0.270563 + 0.820018i
\(427\) 2.25771 8.42587i 0.109258 0.407756i
\(428\) −15.4571 −0.747147
\(429\) 22.4499 31.1586i 1.08389 1.50435i
\(430\) 2.30494 0.111154
\(431\) 4.82835 18.0196i 0.232573 0.867976i −0.746654 0.665212i \(-0.768341\pi\)
0.979228 0.202763i \(-0.0649922\pi\)
\(432\) −5.17461 0.472699i −0.248963 0.0227428i
\(433\) 18.0627 + 10.4285i 0.868037 + 0.501161i 0.866695 0.498838i \(-0.166240\pi\)
0.00134144 + 0.999999i \(0.499573\pi\)
\(434\) −2.28135 2.28135i −0.109508 0.109508i
\(435\) 19.6381 1.11863i 0.941574 0.0536342i
\(436\) −14.9367 + 4.00226i −0.715336 + 0.191674i
\(437\) 0.357585 0.357585i 0.0171056 0.0171056i
\(438\) 4.02475 4.51096i 0.192310 0.215542i
\(439\) 34.7872 20.0844i 1.66030 0.958577i 0.687736 0.725961i \(-0.258605\pi\)
0.972568 0.232617i \(-0.0747288\pi\)
\(440\) 8.50642 + 2.27929i 0.405528 + 0.108661i
\(441\) 1.19527 2.75160i 0.0569176 0.131029i
\(442\) 24.0703 2.51585i 1.14491 0.119667i
\(443\) 22.0050i 1.04549i 0.852490 + 0.522744i \(0.175092\pi\)
−0.852490 + 0.522744i \(0.824908\pi\)
\(444\) −4.20638 + 8.34899i −0.199626 + 0.396226i
\(445\) 7.61212 + 13.1846i 0.360849 + 0.625009i
\(446\) 14.6687 25.4069i 0.694582 1.20305i
\(447\) 21.9299 14.3834i 1.03725 0.680312i
\(448\) 0.258819 + 0.965926i 0.0122281 + 0.0456357i
\(449\) 8.30965 + 31.0120i 0.392157 + 1.46355i 0.826569 + 0.562835i \(0.190289\pi\)
−0.434413 + 0.900714i \(0.643044\pi\)
\(450\) 8.23082 3.24559i 0.388005 0.152998i
\(451\) −8.65137 + 14.9846i −0.407377 + 0.705598i
\(452\) 6.08657 + 10.5422i 0.286288 + 0.495866i
\(453\) −30.6986 15.4665i −1.44234 0.726680i
\(454\) 11.3808i 0.534127i
\(455\) 4.82148 1.84760i 0.226035 0.0866169i
\(456\) −0.275000 0.0571491i −0.0128780 0.00267625i
\(457\) 18.3393 + 4.91399i 0.857875 + 0.229867i 0.660837 0.750529i \(-0.270201\pi\)
0.197037 + 0.980396i \(0.436868\pi\)
\(458\) −8.32898 + 4.80874i −0.389188 + 0.224698i
\(459\) −14.6189 31.6664i −0.682351 1.47806i
\(460\) −3.15782 + 3.15782i −0.147234 + 0.147234i
\(461\) 5.62076 1.50608i 0.261785 0.0701450i −0.125539 0.992089i \(-0.540066\pi\)
0.387324 + 0.921944i \(0.373399\pi\)
\(462\) 0.605740 + 10.6341i 0.0281816 + 0.494741i
\(463\) 14.7365 + 14.7365i 0.684863 + 0.684863i 0.961092 0.276229i \(-0.0890849\pi\)
−0.276229 + 0.961092i \(0.589085\pi\)
\(464\) −6.86770 3.96507i −0.318825 0.184074i
\(465\) −7.59958 + 2.50746i −0.352422 + 0.116281i
\(466\) 0.856596 3.19686i 0.0396811 0.148092i
\(467\) −7.39814 −0.342345 −0.171173 0.985241i \(-0.554756\pi\)
−0.171173 + 0.985241i \(0.554756\pi\)
\(468\) 5.81381 9.12138i 0.268743 0.421636i
\(469\) −5.23578 −0.241766
\(470\) 0.898368 3.35275i 0.0414386 0.154651i
\(471\) −18.2939 + 6.03603i −0.842939 + 0.278126i
\(472\) −5.98554 3.45576i −0.275507 0.159064i
\(473\) −6.99883 6.99883i −0.321806 0.321806i
\(474\) −0.497548 8.73468i −0.0228531 0.401197i
\(475\) 0.461957 0.123781i 0.0211960 0.00567946i
\(476\) −4.74629 + 4.74629i −0.217546 + 0.217546i
\(477\) 14.5110 + 19.5959i 0.664412 + 0.897234i
\(478\) −14.6643 + 8.46645i −0.670730 + 0.387246i
\(479\) −37.4614 10.0378i −1.71166 0.458637i −0.735826 0.677171i \(-0.763206\pi\)
−0.975829 + 0.218534i \(0.929873\pi\)
\(480\) 2.42851 + 0.504682i 0.110846 + 0.0230355i
\(481\) −11.4298 15.7509i −0.521154 0.718178i
\(482\) 27.8707i 1.26947i
\(483\) −4.82372 2.43028i −0.219487 0.110582i
\(484\) −13.4084 23.2240i −0.609471 1.05563i
\(485\) 2.91896 5.05579i 0.132543 0.229571i
\(486\) −15.1450 3.69171i −0.686992 0.167459i
\(487\) 0.671688 + 2.50677i 0.0304371 + 0.113593i 0.979473 0.201575i \(-0.0646059\pi\)
−0.949036 + 0.315168i \(0.897939\pi\)
\(488\) 2.25771 + 8.42587i 0.102202 + 0.381421i
\(489\) −18.3026 + 12.0044i −0.827674 + 0.542857i
\(490\) −0.716030 + 1.24020i −0.0323469 + 0.0560265i
\(491\) −6.49780 11.2545i −0.293241 0.507909i 0.681333 0.731974i \(-0.261401\pi\)
−0.974574 + 0.224065i \(0.928067\pi\)
\(492\) −2.19274 + 4.35225i −0.0988565 + 0.196214i
\(493\) 53.2292i 2.39732i
\(494\) 0.368218 0.454176i 0.0165669 0.0204343i
\(495\) 24.2320 + 10.5261i 1.08915 + 0.473115i
\(496\) 3.11639 + 0.835033i 0.139930 + 0.0374941i
\(497\) 8.91123 5.14490i 0.399723 0.230780i
\(498\) 6.42202 7.19783i 0.287777 0.322543i
\(499\) 3.36337 3.36337i 0.150565 0.150565i −0.627805 0.778370i \(-0.716047\pi\)
0.778370 + 0.627805i \(0.216047\pi\)
\(500\) −10.9958 + 2.94633i −0.491749 + 0.131764i
\(501\) 10.9071 0.621293i 0.487293 0.0277573i
\(502\) 16.4205 + 16.4205i 0.732881 + 0.732881i
\(503\) −20.9751 12.1100i −0.935233 0.539957i −0.0467700 0.998906i \(-0.514893\pi\)
−0.888463 + 0.458949i \(0.848226\pi\)
\(504\) 0.340668 + 2.98059i 0.0151746 + 0.132766i
\(505\) −4.17854 + 15.5945i −0.185943 + 0.693948i
\(506\) 19.1771 0.852527
\(507\) 11.3243 + 19.4618i 0.502930 + 0.864327i
\(508\) 6.16631 0.273586
\(509\) 0.997603 3.72310i 0.0442180 0.165024i −0.940286 0.340385i \(-0.889443\pi\)
0.984504 + 0.175361i \(0.0561093\pi\)
\(510\) 5.21671 + 15.8107i 0.231000 + 0.700111i
\(511\) −3.02272 1.74517i −0.133717 0.0772017i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −0.790699 0.291226i −0.0349102 0.0128579i
\(514\) 20.9957 5.62577i 0.926079 0.248142i
\(515\) 6.44397 6.44397i 0.283955 0.283955i
\(516\) −2.08018 1.85596i −0.0915746 0.0817043i
\(517\) −12.9083 + 7.45261i −0.567707 + 0.327766i
\(518\) 5.21359 + 1.39698i 0.229072 + 0.0613797i
\(519\) 0.742736 3.57403i 0.0326025 0.156882i
\(520\) −3.25173 + 4.01081i −0.142598 + 0.175886i
\(521\) 39.7240i 1.74034i 0.492750 + 0.870171i \(0.335992\pi\)
−0.492750 + 0.870171i \(0.664008\pi\)
\(522\) −18.6238 14.8033i −0.815143 0.647921i
\(523\) 10.6683 + 18.4781i 0.466493 + 0.807989i 0.999268 0.0382680i \(-0.0121841\pi\)
−0.532775 + 0.846257i \(0.678851\pi\)
\(524\) 2.30017 3.98401i 0.100483 0.174042i
\(525\) −2.80154 4.27140i −0.122269 0.186419i
\(526\) 1.88413 + 7.03166i 0.0821518 + 0.306595i
\(527\) 5.60497 + 20.9180i 0.244156 + 0.911204i
\(528\) −5.84162 8.90650i −0.254224 0.387605i
\(529\) 6.63758 11.4966i 0.288590 0.499853i
\(530\) −5.81983 10.0802i −0.252797 0.437858i
\(531\) −16.2316 12.9018i −0.704391 0.559890i
\(532\) 0.162163i 0.00703067i
\(533\) −5.95824 8.21077i −0.258080 0.355648i
\(534\) 3.74655 18.0283i 0.162129 0.780160i
\(535\) 21.3812 + 5.72908i 0.924391 + 0.247690i
\(536\) 4.53432 2.61789i 0.195853 0.113076i
\(537\) 29.5510 + 26.3658i 1.27522 + 1.13777i
\(538\) −13.2006 + 13.2006i −0.569119 + 0.569119i
\(539\) 5.93999 1.59162i 0.255853 0.0685557i
\(540\) 6.98264 + 2.57181i 0.300485 + 0.110673i
\(541\) 12.5794 + 12.5794i 0.540830 + 0.540830i 0.923772 0.382942i \(-0.125089\pi\)
−0.382942 + 0.923772i \(0.625089\pi\)
\(542\) −10.6944 6.17444i −0.459365 0.265215i
\(543\) 9.42897 + 28.5772i 0.404636 + 1.22636i
\(544\) 1.73726 6.48356i 0.0744846 0.277980i
\(545\) 22.1447 0.948576
\(546\) −5.83903 2.21488i −0.249888 0.0947881i
\(547\) 34.7955 1.48775 0.743874 0.668320i \(-0.232986\pi\)
0.743874 + 0.668320i \(0.232986\pi\)
\(548\) 3.12108 11.6480i 0.133326 0.497579i
\(549\) 2.97169 + 26.0000i 0.126828 + 1.10965i
\(550\) 15.7064 + 9.06811i 0.669724 + 0.386666i
\(551\) −0.909323 0.909323i −0.0387385 0.0387385i
\(552\) 5.39260 0.307175i 0.229524 0.0130742i
\(553\) −4.87903 + 1.30733i −0.207478 + 0.0555934i
\(554\) −22.0857 + 22.0857i −0.938333 + 0.938333i
\(555\) 8.91304 9.98979i 0.378337 0.424043i
\(556\) 6.76981 3.90855i 0.287104 0.165760i
\(557\) 4.18738 + 1.12200i 0.177425 + 0.0475408i 0.346438 0.938073i \(-0.387391\pi\)
−0.169013 + 0.985614i \(0.554058\pi\)
\(558\) 8.87756 + 3.85632i 0.375817 + 0.163251i
\(559\) 5.41898 2.07657i 0.229199 0.0878294i
\(560\) 1.43206i 0.0605156i
\(561\) 32.1682 63.8487i 1.35814 2.69570i
\(562\) −6.73289 11.6617i −0.284010 0.491919i
\(563\) 3.27325 5.66944i 0.137951 0.238939i −0.788770 0.614689i \(-0.789282\pi\)
0.926721 + 0.375750i \(0.122615\pi\)
\(564\) −3.51044 + 2.30244i −0.147816 + 0.0969501i
\(565\) −4.51191 16.8387i −0.189817 0.708408i
\(566\) 3.96038 + 14.7804i 0.166467 + 0.621265i
\(567\) −0.307705 + 8.99474i −0.0129224 + 0.377744i
\(568\) −5.14490 + 8.91123i −0.215875 + 0.373907i
\(569\) −6.25227 10.8293i −0.262109 0.453986i 0.704693 0.709512i \(-0.251085\pi\)
−0.966802 + 0.255526i \(0.917751\pi\)
\(570\) 0.359215 + 0.180979i 0.0150459 + 0.00758039i
\(571\) 26.7641i 1.12004i −0.828478 0.560022i \(-0.810793\pi\)
0.828478 0.560022i \(-0.189207\pi\)
\(572\) 22.0523 2.30492i 0.922054 0.0963737i
\(573\) −24.0721 5.00254i −1.00563 0.208984i
\(574\) 2.71779 + 0.728231i 0.113439 + 0.0303958i
\(575\) −7.96484 + 4.59850i −0.332157 + 0.191771i
\(576\) −1.78532 2.41094i −0.0743885 0.100456i
\(577\) 4.03263 4.03263i 0.167881 0.167881i −0.618166 0.786047i \(-0.712124\pi\)
0.786047 + 0.618166i \(0.212124\pi\)
\(578\) 27.0987 7.26107i 1.12716 0.302021i
\(579\) 1.88551 + 33.1010i 0.0783592 + 1.37563i
\(580\) 8.03021 + 8.03021i 0.333436 + 0.333436i
\(581\) −4.82315 2.78465i −0.200098 0.115527i
\(582\) −6.70530 + 2.21240i −0.277944 + 0.0917068i
\(583\) −12.9365 + 48.2797i −0.535776 + 1.99954i
\(584\) 3.49034 0.144431
\(585\) −11.4228 + 10.4624i −0.472275 + 0.432568i
\(586\) 8.32698 0.343984
\(587\) −2.24740 + 8.38743i −0.0927603 + 0.346186i −0.996670 0.0815364i \(-0.974017\pi\)
0.903910 + 0.427723i \(0.140684\pi\)
\(588\) 1.64483 0.542708i 0.0678317 0.0223809i
\(589\) 0.453097 + 0.261595i 0.0186695 + 0.0107789i
\(590\) 6.99873 + 6.99873i 0.288133 + 0.288133i
\(591\) 2.30814 + 40.5204i 0.0949440 + 1.66679i
\(592\) −5.21359 + 1.39698i −0.214277 + 0.0574154i
\(593\) 24.5123 24.5123i 1.00660 1.00660i 0.00662184 0.999978i \(-0.497892\pi\)
0.999978 0.00662184i \(-0.00210781\pi\)
\(594\) −13.3933 29.0116i −0.549532 1.19036i
\(595\) 8.32456 4.80619i 0.341274 0.197034i
\(596\) 14.6256 + 3.91893i 0.599089 + 0.160525i
\(597\) 11.9469 + 2.48275i 0.488956 + 0.101612i
\(598\) −4.57919 + 10.2691i −0.187257 + 0.419934i
\(599\) 18.6052i 0.760188i −0.924948 0.380094i \(-0.875892\pi\)
0.924948 0.380094i \(-0.124108\pi\)
\(600\) 4.56190 + 2.29837i 0.186239 + 0.0938306i
\(601\) −17.0251 29.4883i −0.694467 1.20285i −0.970360 0.241664i \(-0.922307\pi\)
0.275893 0.961188i \(-0.411026\pi\)
\(602\) −0.804764 + 1.39389i −0.0327997 + 0.0568108i
\(603\) 14.6123 5.76195i 0.595060 0.234645i
\(604\) −5.13657 19.1700i −0.209004 0.780014i
\(605\) 9.93946 + 37.0946i 0.404097 + 1.50811i
\(606\) 16.3280 10.7092i 0.663279 0.435033i
\(607\) 17.2735 29.9185i 0.701108 1.21435i −0.266970 0.963705i \(-0.586022\pi\)
0.968078 0.250650i \(-0.0806442\pi\)
\(608\) −0.0810817 0.140438i −0.00328830 0.00569550i
\(609\) −6.18010 + 12.2665i −0.250430 + 0.497064i
\(610\) 12.4920i 0.505787i
\(611\) −0.908472 8.69179i −0.0367528 0.351632i
\(612\) 8.02298 18.4695i 0.324310 0.746586i
\(613\) −25.0018 6.69922i −1.00981 0.270579i −0.284263 0.958746i \(-0.591749\pi\)
−0.725552 + 0.688167i \(0.758415\pi\)
\(614\) −10.2228 + 5.90212i −0.412557 + 0.238190i
\(615\) 4.64628 5.20758i 0.187356 0.209990i
\(616\) −4.34837 + 4.34837i −0.175201 + 0.175201i
\(617\) 4.60799 1.23471i 0.185511 0.0497074i −0.164868 0.986316i \(-0.552720\pi\)
0.350378 + 0.936608i \(0.386053\pi\)
\(618\) −11.0044 + 0.626834i −0.442660 + 0.0252149i
\(619\) −26.5606 26.5606i −1.06756 1.06756i −0.997546 0.0700151i \(-0.977695\pi\)
−0.0700151 0.997546i \(-0.522305\pi\)
\(620\) −4.00128 2.31014i −0.160695 0.0927775i
\(621\) 16.1368 + 1.47410i 0.647549 + 0.0591535i
\(622\) −6.74743 + 25.1817i −0.270547 + 1.00970i
\(623\) −10.6310 −0.425923
\(624\) 6.16419 1.00137i 0.246765 0.0400870i
\(625\) 1.55617 0.0622466
\(626\) −0.912608 + 3.40590i −0.0364751 + 0.136127i
\(627\) −0.541203 1.64027i −0.0216136 0.0655061i
\(628\) −9.63199 5.56103i −0.384358 0.221909i
\(629\) −25.6182 25.6182i −1.02146 1.02146i
\(630\) 0.633506 4.24921i 0.0252395 0.169293i
\(631\) 13.2623 3.55363i 0.527964 0.141468i 0.0150163 0.999887i \(-0.495220\pi\)
0.512948 + 0.858420i \(0.328553\pi\)
\(632\) 3.57170 3.57170i 0.142075 0.142075i
\(633\) −18.1040 16.1526i −0.719568 0.642009i
\(634\) 5.06235 2.92275i 0.201052 0.116077i
\(635\) −8.52963 2.28551i −0.338488 0.0906976i
\(636\) −2.86441 + 13.7835i −0.113581 + 0.546550i
\(637\) −0.566088 + 3.56083i −0.0224292 + 0.141085i
\(638\) 48.7666i 1.93069i
\(639\) −19.2081 + 24.1655i −0.759860 + 0.955972i
\(640\) 0.716030 + 1.24020i 0.0283036 + 0.0490232i
\(641\) −18.4787 + 32.0060i −0.729863 + 1.26416i 0.227077 + 0.973877i \(0.427083\pi\)
−0.956941 + 0.290284i \(0.906250\pi\)
\(642\) −14.6831 22.3868i −0.579497 0.883538i
\(643\) −6.19110 23.1055i −0.244153 0.911192i −0.973807 0.227376i \(-0.926986\pi\)
0.729654 0.683817i \(-0.239681\pi\)
\(644\) −0.807119 3.01221i −0.0318049 0.118698i
\(645\) 2.18953 + 3.33829i 0.0862126 + 0.131445i
\(646\) 0.544242 0.942655i 0.0214129 0.0370883i
\(647\) −23.0389 39.9046i −0.905753 1.56881i −0.819903 0.572502i \(-0.805973\pi\)
−0.0858500 0.996308i \(-0.527361\pi\)
\(648\) −4.23089 7.94352i −0.166205 0.312051i
\(649\) 42.5025i 1.66837i
\(650\) −8.60630 + 6.24525i −0.337567 + 0.244959i
\(651\) 1.13701 5.47126i 0.0445629 0.214435i
\(652\) −12.2065 3.27073i −0.478045 0.128092i
\(653\) 10.9970 6.34912i 0.430346 0.248460i −0.269148 0.963099i \(-0.586742\pi\)
0.699494 + 0.714638i \(0.253409\pi\)
\(654\) −19.9853 17.8312i −0.781488 0.697255i
\(655\) −4.65839 + 4.65839i −0.182018 + 0.182018i
\(656\) −2.71779 + 0.728231i −0.106112 + 0.0284326i
\(657\) 10.3565 + 1.54404i 0.404047 + 0.0602386i
\(658\) 1.71389 + 1.71389i 0.0668142 + 0.0668142i
\(659\) 0.264972 + 0.152982i 0.0103219 + 0.00595932i 0.505152 0.863030i \(-0.331436\pi\)
−0.494830 + 0.868990i \(0.664770\pi\)
\(660\) 4.77935 + 14.4852i 0.186036 + 0.563835i
\(661\) −1.17446 + 4.38314i −0.0456812 + 0.170484i −0.984998 0.172567i \(-0.944794\pi\)
0.939317 + 0.343051i \(0.111461\pi\)
\(662\) 4.33607 0.168526
\(663\) 26.5089 + 32.4717i 1.02952 + 1.26110i
\(664\) 5.56929 0.216131
\(665\) 0.0601049 0.224315i 0.00233077 0.00869855i
\(666\) −16.0878 + 1.83876i −0.623389 + 0.0712505i
\(667\) 21.4167 + 12.3649i 0.829258 + 0.478772i
\(668\) 4.46002 + 4.46002i 0.172563 + 0.172563i
\(669\) 50.7315 2.88978i 1.96139 0.111725i
\(670\) −7.24246 + 1.94061i −0.279801 + 0.0749724i
\(671\) −37.9313 + 37.9313i −1.46432 + 1.46432i
\(672\) −1.15311 + 1.29241i −0.0444822 + 0.0498560i
\(673\) −12.7661 + 7.37053i −0.492098 + 0.284113i −0.725444 0.688281i \(-0.758366\pi\)
0.233346 + 0.972394i \(0.425032\pi\)
\(674\) −27.2280 7.29571i −1.04878 0.281020i
\(675\) 12.5193 + 8.83780i 0.481870 + 0.340167i
\(676\) −4.03149 + 12.3591i −0.155057 + 0.475350i
\(677\) 11.4682i 0.440758i −0.975414 0.220379i \(-0.929271\pi\)
0.975414 0.220379i \(-0.0707295\pi\)
\(678\) −9.48676 + 18.8297i −0.364337 + 0.723150i
\(679\) 2.03829 + 3.53043i 0.0782226 + 0.135485i
\(680\) −4.80619 + 8.32456i −0.184309 + 0.319232i
\(681\) −16.4830 + 10.8109i −0.631632 + 0.414276i
\(682\) 5.13506 + 19.1643i 0.196632 + 0.733839i
\(683\) 6.90186 + 25.7581i 0.264093 + 0.985607i 0.962803 + 0.270203i \(0.0870907\pi\)
−0.698711 + 0.715404i \(0.746243\pi\)
\(684\) −0.178460 0.452575i −0.00682359 0.0173047i
\(685\) −8.63455 + 14.9555i −0.329909 + 0.571419i
\(686\) −0.500000 0.866025i −0.0190901 0.0330650i
\(687\) −14.8765 7.49508i −0.567576 0.285955i
\(688\) 1.60953i 0.0613627i
\(689\) −22.7641 18.4558i −0.867243 0.703109i
\(690\) −7.57324 1.57383i −0.288308 0.0599148i
\(691\) −5.77582 1.54763i −0.219723 0.0588745i 0.147278 0.989095i \(-0.452949\pi\)
−0.367001 + 0.930221i \(0.619615\pi\)
\(692\) 1.82519 1.05378i 0.0693834 0.0400585i
\(693\) −14.8261 + 10.9789i −0.563198 + 0.417054i
\(694\) −3.66066 + 3.66066i −0.138957 + 0.138957i
\(695\) −10.8131 + 2.89737i −0.410165 + 0.109903i
\(696\) −0.781134 13.7132i −0.0296088 0.519796i
\(697\) −13.3545 13.3545i −0.505837 0.505837i
\(698\) −8.65553 4.99727i −0.327617 0.189150i
\(699\) 5.44379 1.79616i 0.205903 0.0679372i
\(700\) 0.763310 2.84871i 0.0288504 0.107671i
\(701\) −23.1781 −0.875426 −0.437713 0.899115i \(-0.644211\pi\)
−0.437713 + 0.899115i \(0.644211\pi\)
\(702\) 18.7334 0.244402i 0.707047 0.00922437i
\(703\) −0.875278 −0.0330117
\(704\) 1.59162 5.93999i 0.0599863 0.223872i
\(705\) 5.70925 1.88375i 0.215023 0.0709462i
\(706\) −26.0270 15.0267i −0.979541 0.565538i
\(707\) −7.97173 7.97173i −0.299808 0.299808i
\(708\) −0.680797 11.9517i −0.0255859 0.449173i
\(709\) −1.41382 + 0.378832i −0.0530972 + 0.0142273i −0.285270 0.958447i \(-0.592083\pi\)
0.232173 + 0.972675i \(0.425417\pi\)
\(710\) 10.4197 10.4197i 0.391043 0.391043i
\(711\) 12.1780 9.01794i 0.456710 0.338199i
\(712\) 9.20673 5.31551i 0.345037 0.199207i
\(713\) −9.71835 2.60402i −0.363955 0.0975215i
\(714\) −11.3828 2.36552i −0.425991 0.0885272i
\(715\) −31.3585 4.98525i −1.17274 0.186438i
\(716\) 22.8649i 0.854503i
\(717\) −26.1922 13.1961i −0.978165 0.492818i
\(718\) −3.11045 5.38745i −0.116081 0.201058i
\(719\) −6.54962 + 11.3443i −0.244260 + 0.423070i −0.961923 0.273320i \(-0.911878\pi\)
0.717664 + 0.696390i \(0.245212\pi\)
\(720\) 1.57597 + 3.99668i 0.0587331 + 0.148948i
\(721\) 1.64704 + 6.14683i 0.0613389 + 0.228920i
\(722\) 4.91076 + 18.3272i 0.182759 + 0.682067i
\(723\) 40.3657 26.4752i 1.50122 0.984622i
\(724\) −8.68697 + 15.0463i −0.322849 + 0.559190i
\(725\) 11.6938 + 20.2543i 0.434297 + 0.752224i
\(726\) 20.8988 41.4807i 0.775626 1.53949i
\(727\) 38.1313i 1.41421i 0.707108 + 0.707105i \(0.249999\pi\)
−0.707108 + 0.707105i \(0.750001\pi\)
\(728\) −1.29017 3.36682i −0.0478169 0.124783i
\(729\) −9.03990 25.4417i −0.334811 0.942285i
\(730\) −4.82806 1.29367i −0.178694 0.0478810i
\(731\) 9.35618 5.40179i 0.346051 0.199793i
\(732\) −10.0587 + 11.2739i −0.371781 + 0.416694i
\(733\) 9.76791 9.76791i 0.360786 0.360786i −0.503316 0.864102i \(-0.667887\pi\)
0.864102 + 0.503316i \(0.167887\pi\)
\(734\) −4.54304 + 1.21730i −0.167687 + 0.0449315i
\(735\) −2.47639 + 0.141061i −0.0913429 + 0.00520310i
\(736\) 2.20509 + 2.20509i 0.0812807 + 0.0812807i
\(737\) 27.8839 + 16.0988i 1.02712 + 0.593006i
\(738\) −8.38640 + 0.958528i −0.308708 + 0.0352839i
\(739\) −1.19404 + 4.45623i −0.0439236 + 0.163925i −0.984404 0.175923i \(-0.943709\pi\)
0.940480 + 0.339848i \(0.110376\pi\)
\(740\) 7.72956 0.284144
\(741\) 1.00757 + 0.101864i 0.0370141 + 0.00374207i
\(742\) 8.12791 0.298385
\(743\) 1.49496 5.57927i 0.0548448 0.204683i −0.933066 0.359704i \(-0.882878\pi\)
0.987911 + 0.155021i \(0.0495444\pi\)
\(744\) 1.75095 + 5.30675i 0.0641929 + 0.194555i
\(745\) −18.7786 10.8418i −0.687994 0.397213i
\(746\) 7.48941 + 7.48941i 0.274207 + 0.274207i
\(747\) 16.5252 + 2.46371i 0.604627 + 0.0901425i
\(748\) 39.8708 10.6834i 1.45782 0.390622i
\(749\) −10.9298 + 10.9298i −0.399367 + 0.399367i
\(750\) −14.7125 13.1267i −0.537225 0.479320i
\(751\) −38.9228 + 22.4721i −1.42031 + 0.820018i −0.996325 0.0856499i \(-0.972703\pi\)
−0.423988 + 0.905668i \(0.639370\pi\)
\(752\) −2.34121 0.627326i −0.0853752 0.0228762i
\(753\) −8.18384 + 39.3804i −0.298236 + 1.43510i
\(754\) 26.1138 + 11.6447i 0.951010 + 0.424075i
\(755\) 28.4209i 1.03434i
\(756\) −3.99325 + 3.32475i −0.145233 + 0.120920i
\(757\) 21.2721 + 36.8443i 0.773147 + 1.33913i 0.935830 + 0.352451i \(0.114652\pi\)
−0.162683 + 0.986678i \(0.552015\pi\)
\(758\) 11.1555 19.3219i 0.405185 0.701802i
\(759\) 18.2169 + 27.7746i 0.661231 + 1.00815i
\(760\) 0.0601049 + 0.224315i 0.00218023 + 0.00813675i
\(761\) −10.7212 40.0122i −0.388644 1.45044i −0.832341 0.554264i \(-0.813000\pi\)
0.443697 0.896177i \(-0.353667\pi\)
\(762\) 5.85755 + 8.93080i 0.212197 + 0.323529i
\(763\) −7.73178 + 13.3918i −0.279909 + 0.484817i
\(764\) −7.09748 12.2932i −0.256778 0.444752i
\(765\) −17.9435 + 22.5745i −0.648749 + 0.816184i
\(766\) 14.9128i 0.538822i
\(767\) 22.7595 + 10.1489i 0.821799 + 0.366457i
\(768\) 0.352417 1.69582i 0.0127167 0.0611926i
\(769\) 47.3522 + 12.6880i 1.70756 + 0.457540i 0.974825 0.222971i \(-0.0715755\pi\)
0.732738 + 0.680511i \(0.238242\pi\)
\(770\) 7.62665 4.40325i 0.274845 0.158682i
\(771\) 28.0923 + 25.0644i 1.01172 + 0.902672i
\(772\) −13.5354 + 13.5354i −0.487148 + 0.487148i
\(773\) 11.6101 3.11093i 0.417588 0.111892i −0.0439062 0.999036i \(-0.513980\pi\)
0.461494 + 0.887143i \(0.347314\pi\)