Properties

Label 804.2.bd.a.23.19
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.19
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28898 + 0.581844i) q^{2} +(0.651270 + 1.60494i) q^{3} +(1.32292 - 1.49996i) q^{4} +(1.42405 - 0.650344i) q^{5} +(-1.77330 - 1.68980i) q^{6} +(2.49089 + 2.61237i) q^{7} +(-0.832461 + 2.70315i) q^{8} +(-2.15170 + 2.09050i) q^{9} +O(q^{10})\) \(q+(-1.28898 + 0.581844i) q^{2} +(0.651270 + 1.60494i) q^{3} +(1.32292 - 1.49996i) q^{4} +(1.42405 - 0.650344i) q^{5} +(-1.77330 - 1.68980i) q^{6} +(2.49089 + 2.61237i) q^{7} +(-0.832461 + 2.70315i) q^{8} +(-2.15170 + 2.09050i) q^{9} +(-1.45717 + 1.66685i) q^{10} +(-3.33341 - 0.318302i) q^{11} +(3.26894 + 1.14632i) q^{12} +(-5.81919 - 1.12156i) q^{13} +(-4.73069 - 1.91797i) q^{14} +(1.97121 + 1.86198i) q^{15} +(-0.499788 - 3.96865i) q^{16} +(-3.01536 + 5.84899i) q^{17} +(1.55714 - 3.94656i) q^{18} +(2.35023 - 2.46485i) q^{19} +(0.908411 - 2.99638i) q^{20} +(-2.57047 + 5.69910i) q^{21} +(4.48189 - 1.52924i) q^{22} +(-0.843917 + 0.337853i) q^{23} +(-4.88056 + 0.424425i) q^{24} +(-1.66932 + 1.92650i) q^{25} +(8.15336 - 1.94020i) q^{26} +(-4.75648 - 2.09187i) q^{27} +(7.21370 - 0.280301i) q^{28} +(-3.86686 - 2.23253i) q^{29} +(-3.62422 - 1.25311i) q^{30} +(1.50080 + 7.78687i) q^{31} +(2.95335 + 4.82470i) q^{32} +(-1.66009 - 5.55724i) q^{33} +(0.483532 - 9.29367i) q^{34} +(5.24610 + 2.10022i) q^{35} +(0.289171 + 5.99303i) q^{36} +(3.98212 + 6.89723i) q^{37} +(-1.59523 + 4.54460i) q^{38} +(-1.98983 - 10.0699i) q^{39} +(0.572506 + 4.39081i) q^{40} +(11.3009 - 0.538328i) q^{41} +(-0.00271441 - 8.84161i) q^{42} +(1.72186 + 2.67927i) q^{43} +(-4.88727 + 4.57891i) q^{44} +(-1.70458 + 4.37633i) q^{45} +(0.891210 - 0.926512i) q^{46} +(4.66470 + 3.66836i) q^{47} +(6.04397 - 3.38680i) q^{48} +(-0.286872 + 6.02219i) q^{49} +(1.03079 - 3.45449i) q^{50} +(-11.3511 - 1.03022i) q^{51} +(-9.38059 + 7.24485i) q^{52} +(-0.847806 + 1.31921i) q^{53} +(7.34812 - 0.0711589i) q^{54} +(-4.95397 + 1.71458i) q^{55} +(-9.13519 + 4.55855i) q^{56} +(5.48658 + 2.16671i) q^{57} +(6.28328 + 0.627772i) q^{58} +(-6.99305 - 8.07041i) q^{59} +(5.40065 - 0.493503i) q^{60} +(-5.18258 + 0.494876i) q^{61} +(-6.46523 - 9.16386i) q^{62} +(-10.8208 - 0.413808i) q^{63} +(-6.61402 - 4.50053i) q^{64} +(-9.01623 + 2.18731i) q^{65} +(5.37327 + 6.19724i) q^{66} +(8.14552 - 0.806540i) q^{67} +(4.78420 + 12.2607i) q^{68} +(-1.09185 - 1.13441i) q^{69} +(-7.98410 + 0.345276i) q^{70} +(11.2948 - 5.82286i) q^{71} +(-3.85974 - 7.55661i) q^{72} +(-5.34884 + 0.510753i) q^{73} +(-9.14596 - 6.57339i) q^{74} +(-4.17910 - 1.42450i) q^{75} +(-0.588032 - 6.78605i) q^{76} +(-7.47164 - 9.50097i) q^{77} +(8.42395 + 11.8221i) q^{78} +(3.47616 - 1.20311i) q^{79} +(-3.29271 - 5.32654i) q^{80} +(0.259583 - 8.99626i) q^{81} +(-14.2533 + 7.26924i) q^{82} +(5.27433 - 7.40676i) q^{83} +(5.14794 + 11.3950i) q^{84} +(-0.490187 + 10.2903i) q^{85} +(-3.77836 - 2.45166i) q^{86} +(1.06472 - 7.66008i) q^{87} +(3.63535 - 8.74573i) q^{88} +(8.17520 - 1.17542i) q^{89} +(-0.349175 - 6.63279i) q^{90} +(-11.5650 - 17.9955i) q^{91} +(-0.609663 + 1.71280i) q^{92} +(-11.5201 + 7.48005i) q^{93} +(-8.14711 - 2.01430i) q^{94} +(1.74385 - 5.03854i) q^{95} +(-5.81995 + 7.88215i) q^{96} +(5.21280 + 9.02883i) q^{97} +(-3.13420 - 7.92937i) q^{98} +(7.83790 - 6.28362i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28898 + 0.581844i −0.911443 + 0.411426i
\(3\) 0.651270 + 1.60494i 0.376011 + 0.926615i
\(4\) 1.32292 1.49996i 0.661458 0.749982i
\(5\) 1.42405 0.650344i 0.636856 0.290843i −0.0707020 0.997497i \(-0.522524\pi\)
0.707558 + 0.706655i \(0.249797\pi\)
\(6\) −1.77330 1.68980i −0.723946 0.689857i
\(7\) 2.49089 + 2.61237i 0.941468 + 0.987383i 0.999941 0.0109056i \(-0.00347143\pi\)
−0.0584723 + 0.998289i \(0.518623\pi\)
\(8\) −0.832461 + 2.70315i −0.294319 + 0.955707i
\(9\) −2.15170 + 2.09050i −0.717232 + 0.696835i
\(10\) −1.45717 + 1.66685i −0.460798 + 0.527106i
\(11\) −3.33341 0.318302i −1.00506 0.0959717i −0.420476 0.907304i \(-0.638137\pi\)
−0.584586 + 0.811332i \(0.698743\pi\)
\(12\) 3.26894 + 1.14632i 0.943660 + 0.330915i
\(13\) −5.81919 1.12156i −1.61395 0.311064i −0.699153 0.714972i \(-0.746439\pi\)
−0.914799 + 0.403909i \(0.867651\pi\)
\(14\) −4.73069 1.91797i −1.26433 0.512600i
\(15\) 1.97121 + 1.86198i 0.508964 + 0.480761i
\(16\) −0.499788 3.96865i −0.124947 0.992163i
\(17\) −3.01536 + 5.84899i −0.731333 + 1.41859i 0.169993 + 0.985445i \(0.445626\pi\)
−0.901326 + 0.433142i \(0.857405\pi\)
\(18\) 1.55714 3.94656i 0.367020 0.930213i
\(19\) 2.35023 2.46485i 0.539180 0.565475i −0.396631 0.917978i \(-0.629821\pi\)
0.935811 + 0.352503i \(0.114669\pi\)
\(20\) 0.908411 2.99638i 0.203127 0.670011i
\(21\) −2.57047 + 5.69910i −0.560922 + 1.24365i
\(22\) 4.48189 1.52924i 0.955542 0.326035i
\(23\) −0.843917 + 0.337853i −0.175969 + 0.0704473i −0.457974 0.888966i \(-0.651425\pi\)
0.282005 + 0.959413i \(0.409000\pi\)
\(24\) −4.88056 + 0.424425i −0.996240 + 0.0866354i
\(25\) −1.66932 + 1.92650i −0.333864 + 0.385300i
\(26\) 8.15336 1.94020i 1.59901 0.380504i
\(27\) −4.75648 2.09187i −0.915385 0.402580i
\(28\) 7.21370 0.280301i 1.36326 0.0529720i
\(29\) −3.86686 2.23253i −0.718058 0.414571i 0.0959793 0.995383i \(-0.469402\pi\)
−0.814038 + 0.580812i \(0.802735\pi\)
\(30\) −3.62422 1.25311i −0.661689 0.228785i
\(31\) 1.50080 + 7.78687i 0.269551 + 1.39856i 0.824115 + 0.566422i \(0.191673\pi\)
−0.554564 + 0.832141i \(0.687115\pi\)
\(32\) 2.95335 + 4.82470i 0.522084 + 0.852894i
\(33\) −1.66009 5.55724i −0.288985 0.967392i
\(34\) 0.483532 9.29367i 0.0829250 1.59385i
\(35\) 5.24610 + 2.10022i 0.886753 + 0.355002i
\(36\) 0.289171 + 5.99303i 0.0481952 + 0.998838i
\(37\) 3.98212 + 6.89723i 0.654656 + 1.13390i 0.981980 + 0.188985i \(0.0605198\pi\)
−0.327324 + 0.944912i \(0.606147\pi\)
\(38\) −1.59523 + 4.54460i −0.258781 + 0.737231i
\(39\) −1.98983 10.0699i −0.318627 1.61248i
\(40\) 0.572506 + 4.39081i 0.0905211 + 0.694249i
\(41\) 11.3009 0.538328i 1.76490 0.0840727i 0.860158 0.510028i \(-0.170365\pi\)
0.904744 + 0.425955i \(0.140062\pi\)
\(42\) −0.00271441 8.84161i −0.000418842 1.36429i
\(43\) 1.72186 + 2.67927i 0.262582 + 0.408585i 0.947362 0.320164i \(-0.103738\pi\)
−0.684780 + 0.728750i \(0.740102\pi\)
\(44\) −4.88727 + 4.57891i −0.736783 + 0.690297i
\(45\) −1.70458 + 4.37633i −0.254104 + 0.652385i
\(46\) 0.891210 0.926512i 0.131402 0.136607i
\(47\) 4.66470 + 3.66836i 0.680417 + 0.535086i 0.897471 0.441074i \(-0.145402\pi\)
−0.217054 + 0.976160i \(0.569645\pi\)
\(48\) 6.04397 3.38680i 0.872372 0.488842i
\(49\) −0.286872 + 6.02219i −0.0409818 + 0.860313i
\(50\) 1.03079 3.45449i 0.145776 0.488539i
\(51\) −11.3511 1.03022i −1.58947 0.144260i
\(52\) −9.38059 + 7.24485i −1.30085 + 1.00468i
\(53\) −0.847806 + 1.31921i −0.116455 + 0.181208i −0.894588 0.446892i \(-0.852531\pi\)
0.778133 + 0.628100i \(0.216167\pi\)
\(54\) 7.34812 0.0711589i 0.999953 0.00968350i
\(55\) −4.95397 + 1.71458i −0.667993 + 0.231194i
\(56\) −9.13519 + 4.55855i −1.22074 + 0.609162i
\(57\) 5.48658 + 2.16671i 0.726715 + 0.286987i
\(58\) 6.28328 + 0.627772i 0.825035 + 0.0824305i
\(59\) −6.99305 8.07041i −0.910418 1.05068i −0.998510 0.0545660i \(-0.982622\pi\)
0.0880922 0.996112i \(1.52808\pi\)
\(60\) 5.40065 0.493503i 0.697220 0.0637110i
\(61\) −5.18258 + 0.494876i −0.663561 + 0.0633624i −0.421402 0.906874i \(-0.638462\pi\)
−0.242159 + 0.970236i \(0.577856\pi\)
\(62\) −6.46523 9.16386i −0.821085 1.16381i
\(63\) −10.8208 0.413808i −1.36329 0.0521349i
\(64\) −6.61402 4.50053i −0.826752 0.562566i
\(65\) −9.01623 + 2.18731i −1.11833 + 0.271303i
\(66\) 5.37327 + 6.19724i 0.661403 + 0.762827i
\(67\) 8.14552 0.806540i 0.995134 0.0985346i
\(68\) 4.78420 + 12.2607i 0.580170 + 1.48682i
\(69\) −1.09185 1.13441i −0.131444 0.136566i
\(70\) −7.98410 + 0.345276i −0.954282 + 0.0412684i
\(71\) 11.2948 5.82286i 1.34044 0.691047i 0.369248 0.929331i \(-0.379615\pi\)
0.971196 + 0.238284i \(0.0765849\pi\)
\(72\) −3.85974 7.55661i −0.454875 0.890555i
\(73\) −5.34884 + 0.510753i −0.626035 + 0.0597791i −0.403252 0.915089i \(-0.632120\pi\)
−0.222783 + 0.974868i \(0.571514\pi\)
\(74\) −9.14596 6.57339i −1.06320 0.764141i
\(75\) −4.17910 1.42450i −0.482561 0.164487i
\(76\) −0.588032 6.78605i −0.0674519 0.778413i
\(77\) −7.47164 9.50097i −0.851473 1.08274i
\(78\) 8.42395 + 11.8221i 0.953824 + 1.33859i
\(79\) 3.47616 1.20311i 0.391099 0.135361i −0.124439 0.992227i \(-0.539713\pi\)
0.515538 + 0.856867i \(0.327592\pi\)
\(80\) −3.29271 5.32654i −0.368137 0.595526i
\(81\) 0.259583 8.99626i 0.0288426 0.999584i
\(82\) −14.2533 + 7.26924i −1.57402 + 0.802754i
\(83\) 5.27433 7.40676i 0.578933 0.812997i −0.416432 0.909167i \(-0.636720\pi\)
0.995365 + 0.0961693i \(0.0306590\pi\)
\(84\) 5.14794 + 11.3950i 0.561686 + 1.24330i
\(85\) −0.490187 + 10.2903i −0.0531683 + 1.11614i
\(86\) −3.77836 2.45166i −0.407431 0.264369i
\(87\) 1.06472 7.66008i 0.114150 0.821247i
\(88\) 3.63535 8.74573i 0.387530 0.932298i
\(89\) 8.17520 1.17542i 0.866570 0.124594i 0.305329 0.952247i \(-0.401233\pi\)
0.561240 + 0.827653i \(0.310324\pi\)
\(90\) −0.349175 6.63279i −0.0368063 0.699157i
\(91\) −11.5650 17.9955i −1.21235 1.88645i
\(92\) −0.609663 + 1.71280i −0.0635617 + 0.178571i
\(93\) −11.5201 + 7.48005i −1.19458 + 0.775645i
\(94\) −8.14711 2.01430i −0.840310 0.207759i
\(95\) 1.74385 5.03854i 0.178916 0.516943i
\(96\) −5.81995 + 7.88215i −0.593996 + 0.804468i
\(97\) 5.21280 + 9.02883i 0.529279 + 0.916739i 0.999417 + 0.0341456i \(0.0108710\pi\)
−0.470137 + 0.882593i \(0.655796\pi\)
\(98\) −3.13420 7.92937i −0.316602 0.800987i
\(99\) 7.83790 6.28362i 0.787738 0.631528i
\(100\) 0.681309 + 5.05252i 0.0681309 + 0.505252i
\(101\) −9.19672 2.23110i −0.915108 0.222003i −0.249561 0.968359i \(-0.580286\pi\)
−0.665547 + 0.746356i \(0.731802\pi\)
\(102\) 15.2307 5.27665i 1.50807 0.522466i
\(103\) 1.44351 + 7.48964i 0.142233 + 0.737976i 0.981079 + 0.193607i \(0.0620188\pi\)
−0.838846 + 0.544369i \(0.816769\pi\)
\(104\) 7.87598 14.7965i 0.772303 1.45091i
\(105\) 0.0458874 + 9.78752i 0.00447815 + 0.955164i
\(106\) 0.325226 2.19372i 0.0315887 0.213073i
\(107\) −1.85831 + 4.06913i −0.179650 + 0.393378i −0.977937 0.208899i \(-0.933012\pi\)
0.798288 + 0.602276i \(0.205739\pi\)
\(108\) −9.43015 + 4.36718i −0.907417 + 0.420232i
\(109\) −2.31251 + 2.66878i −0.221498 + 0.255623i −0.855613 0.517617i \(-0.826819\pi\)
0.634114 + 0.773239i \(0.281365\pi\)
\(110\) 5.38792 5.09249i 0.513718 0.485550i
\(111\) −8.47624 + 10.8830i −0.804529 + 1.03297i
\(112\) 9.12268 11.1911i 0.862012 1.05746i
\(113\) −0.0242593 + 0.0172750i −0.00228213 + 0.00162510i −0.581197 0.813763i \(-0.697416\pi\)
0.578915 + 0.815388i \(0.303476\pi\)
\(114\) −8.33275 + 0.399502i −0.780434 + 0.0374168i
\(115\) −0.982062 + 1.02996i −0.0915778 + 0.0960440i
\(116\) −8.46426 + 2.84670i −0.785886 + 0.264310i
\(117\) 14.8657 9.75179i 1.37434 0.901553i
\(118\) 13.7096 + 6.33370i 1.26207 + 0.583064i
\(119\) −22.7907 + 6.69194i −2.08922 + 0.613449i
\(120\) −6.67416 + 3.77845i −0.609265 + 0.344923i
\(121\) 0.209105 + 0.0403017i 0.0190095 + 0.00366379i
\(122\) 6.39228 3.65333i 0.578729 0.330757i
\(123\) 8.22392 + 17.7867i 0.741525 + 1.60377i
\(124\) 13.6655 + 8.05023i 1.22719 + 0.722932i
\(125\) −3.32962 + 11.3396i −0.297810 + 1.01425i
\(126\) 14.1885 5.76263i 1.26401 0.513376i
\(127\) −5.28396 5.54166i −0.468876 0.491743i 0.446252 0.894907i \(-0.352759\pi\)
−0.915127 + 0.403165i \(0.867910\pi\)
\(128\) 11.1439 + 1.95275i 0.984992 + 0.172600i
\(129\) −3.17869 + 4.50843i −0.279868 + 0.396945i
\(130\) 10.3490 8.06543i 0.907670 0.707385i
\(131\) −0.701277 + 4.87749i −0.0612708 + 0.426148i 0.935980 + 0.352052i \(0.114516\pi\)
−0.997251 + 0.0740957i \(0.976393\pi\)
\(132\) −10.5318 4.86168i −0.916678 0.423155i
\(133\) 12.2933 1.06596
\(134\) −10.0301 + 5.77903i −0.866468 + 0.499232i
\(135\) −8.13392 + 0.114411i −0.700056 + 0.00984692i
\(136\) −13.3005 13.0200i −1.14051 1.11646i
\(137\) −10.6673 1.53372i −0.911367 0.131035i −0.329347 0.944209i \(-0.606828\pi\)
−0.582020 + 0.813174i \(0.697738\pi\)
\(138\) 2.06742 + 0.826933i 0.175990 + 0.0703932i
\(139\) 10.1388 4.63021i 0.859958 0.392729i 0.0639043 0.997956i \(-0.479645\pi\)
0.796053 + 0.605227i \(0.206917\pi\)
\(140\) 10.0904 5.09055i 0.852795 0.430230i
\(141\) −2.84954 + 9.87569i −0.239975 + 0.831683i
\(142\) −11.1707 + 14.0773i −0.937424 + 1.18134i
\(143\) 19.0408 + 5.59087i 1.59227 + 0.467532i
\(144\) 9.37188 + 7.49452i 0.780990 + 0.624544i
\(145\) −6.95854 0.664460i −0.577875 0.0551804i
\(146\) 6.59735 3.77054i 0.546001 0.312052i
\(147\) −9.85211 + 3.46166i −0.812589 + 0.285513i
\(148\) 15.6136 + 3.15142i 1.28343 + 0.259045i
\(149\) −0.100032 0.340679i −0.00819498 0.0279095i 0.955294 0.295658i \(-0.0955387\pi\)
−0.963489 + 0.267748i \(0.913721\pi\)
\(150\) 6.21559 0.595443i 0.507501 0.0486177i
\(151\) −2.36040 + 4.57854i −0.192087 + 0.372597i −0.965136 0.261750i \(-0.915700\pi\)
0.773049 + 0.634347i \(0.218731\pi\)
\(152\) 4.70638 + 8.40491i 0.381738 + 0.681728i
\(153\) −5.73919 18.8889i −0.463986 1.52707i
\(154\) 15.1588 + 7.89918i 1.22153 + 0.636534i
\(155\) 7.20136 + 10.1129i 0.578427 + 0.812287i
\(156\) −17.7369 10.3370i −1.42009 0.827620i
\(157\) 22.4597 8.99149i 1.79248 0.717599i 0.799306 0.600924i \(-0.205201\pi\)
0.993170 0.116675i \(-0.0372236\pi\)
\(158\) −3.78066 + 3.57336i −0.300773 + 0.284281i
\(159\) −2.66941 0.501519i −0.211698 0.0397730i
\(160\) 7.34344 + 4.94994i 0.580550 + 0.391327i
\(161\) −2.98470 1.36307i −0.235227 0.107425i
\(162\) 4.89982 + 11.7470i 0.384966 + 0.922931i
\(163\) 19.1573 + 11.0605i 1.50052 + 0.866323i 1.00000 0.000596406i \(0.000189842\pi\)
0.500516 + 0.865727i \(0.333143\pi\)
\(164\) 14.1427 17.6631i 1.10436 1.37926i
\(165\) −5.97818 6.83418i −0.465401 0.532040i
\(166\) −2.48891 + 12.6160i −0.193177 + 0.979189i
\(167\) −0.833904 + 3.43740i −0.0645294 + 0.265994i −0.994933 0.100544i \(-0.967942\pi\)
0.930403 + 0.366538i \(0.119457\pi\)
\(168\) −13.2657 11.6926i −1.02347 0.902106i
\(169\) 20.5363 + 8.22148i 1.57971 + 0.632421i
\(170\) −5.35550 13.5492i −0.410748 1.03917i
\(171\) 0.0958019 + 10.2168i 0.00732615 + 0.781296i
\(172\) 6.29670 + 0.961717i 0.480119 + 0.0733302i
\(173\) 6.87738 + 2.38028i 0.522877 + 0.180970i 0.575741 0.817632i \(-0.304714\pi\)
−0.0528637 + 0.998602i \(0.516835\pi\)
\(174\) 3.08457 + 10.4932i 0.233841 + 0.795485i
\(175\) −9.19082 + 0.437813i −0.694761 + 0.0330955i
\(176\) 0.402768 + 13.3882i 0.0303597 + 1.00918i
\(177\) 8.39820 16.4795i 0.631248 1.23867i
\(178\) −9.85373 + 6.27177i −0.738568 + 0.470089i
\(179\) 2.77945 + 19.3315i 0.207746 + 1.44490i 0.780489 + 0.625169i \(0.214970\pi\)
−0.572744 + 0.819735i \(0.694121\pi\)
\(180\) 4.30932 + 8.34634i 0.321198 + 0.622099i
\(181\) −19.2456 15.1349i −1.43051 1.12497i −0.971640 0.236463i \(-0.924012\pi\)
−0.458871 0.888503i \(-0.651746\pi\)
\(182\) 25.3776 + 16.4668i 1.88112 + 1.22060i
\(183\) −4.16951 7.99545i −0.308219 0.591041i
\(184\) −0.210740 2.56248i −0.0155359 0.188909i
\(185\) 10.1563 + 7.23228i 0.746708 + 0.531728i
\(186\) 10.4969 16.3445i 0.769668 1.19844i
\(187\) 11.9132 18.5373i 0.871179 1.35558i
\(188\) 11.6734 2.14396i 0.851372 0.156364i
\(189\) −6.38313 17.6363i −0.464304 1.28285i
\(190\) 0.683855 + 7.50920i 0.0496121 + 0.544775i
\(191\) 17.2247 13.5456i 1.24633 0.980128i 0.246395 0.969170i \(-0.420754\pi\)
0.999940 0.0109587i \(-0.00348833\pi\)
\(192\) 2.91559 13.5462i 0.210415 0.977612i
\(193\) −11.2353 12.9663i −0.808736 0.933332i 0.190090 0.981767i \(-0.439122\pi\)
−0.998826 + 0.0484351i \(0.984577\pi\)
\(194\) −11.9725 8.60491i −0.859578 0.617796i
\(195\) −9.38252 13.0460i −0.671896 0.934245i
\(196\) 8.65356 + 8.39715i 0.618112 + 0.599796i
\(197\) −0.567037 1.09990i −0.0403997 0.0783646i 0.867772 0.496963i \(-0.165552\pi\)
−0.908171 + 0.418599i \(0.862521\pi\)
\(198\) −6.44677 + 12.6599i −0.458152 + 0.899698i
\(199\) −0.313083 + 0.0759531i −0.0221939 + 0.00538417i −0.246840 0.969056i \(-0.579392\pi\)
0.224647 + 0.974440i \(0.427877\pi\)
\(200\) −3.81797 6.11615i −0.269971 0.432477i
\(201\) 6.59938 + 12.5478i 0.465485 + 0.885056i
\(202\) 13.1525 2.47522i 0.925407 0.174156i
\(203\) −3.79972 15.6627i −0.266688 1.09930i
\(204\) −16.5619 + 15.6634i −1.15956 + 1.09666i
\(205\) 15.7430 8.11607i 1.09954 0.566851i
\(206\) −6.21845 8.81407i −0.433260 0.614105i
\(207\) 1.10957 2.49117i 0.0771203 0.173148i
\(208\) −1.54271 + 23.6549i −0.106968 + 1.64017i
\(209\) −8.61885 + 7.46828i −0.596178 + 0.516591i
\(210\) −5.75395 12.5892i −0.397060 0.868735i
\(211\) 1.13398 + 1.44197i 0.0780663 + 0.0992694i 0.823518 0.567291i \(-0.192008\pi\)
−0.745451 + 0.666560i \(0.767766\pi\)
\(212\) 0.857195 + 3.01688i 0.0588724 + 0.207200i
\(213\) 16.7013 + 14.3352i 1.14436 + 0.982235i
\(214\) 0.0277175 6.32626i 0.00189473 0.432454i
\(215\) 4.19448 + 2.69563i 0.286061 + 0.183840i
\(216\) 9.61421 11.1161i 0.654164 0.756352i
\(217\) −16.6039 + 23.3169i −1.12714 + 1.58285i
\(218\) 1.42796 4.78551i 0.0967134 0.324116i
\(219\) −4.30327 8.25196i −0.290788 0.557616i
\(220\) −3.98186 + 9.69902i −0.268457 + 0.653908i
\(221\) 24.1069 30.6544i 1.62161 2.06204i
\(222\) 4.59344 18.9598i 0.308291 1.27250i
\(223\) −23.6473 + 3.39997i −1.58354 + 0.227679i −0.877176 0.480169i \(-0.840575\pi\)
−0.706365 + 0.707848i \(0.749666\pi\)
\(224\) −5.24743 + 19.7330i −0.350609 + 1.31847i
\(225\) −0.435485 7.63496i −0.0290323 0.508997i
\(226\) 0.0212184 0.0363822i 0.00141142 0.00242011i
\(227\) 0.223956 + 4.70142i 0.0148645 + 0.312044i 0.994039 + 0.109024i \(0.0347726\pi\)
−0.979175 + 0.203020i \(0.934924\pi\)
\(228\) 10.5083 5.36331i 0.695927 0.355194i
\(229\) 4.45433 12.8699i 0.294350 0.850469i −0.696745 0.717318i \(-0.745369\pi\)
0.991096 0.133151i \(-0.0425095\pi\)
\(230\) 0.666580 1.89900i 0.0439530 0.125216i
\(231\) 10.3825 18.1793i 0.683116 1.19611i
\(232\) 9.25388 8.59420i 0.607547 0.564237i
\(233\) 0.892677 2.22980i 0.0584812 0.146079i −0.896250 0.443550i \(-0.853719\pi\)
0.954731 + 0.297471i \(0.0961431\pi\)
\(234\) −13.4875 + 21.2193i −0.881709 + 1.38715i
\(235\) 9.02849 + 2.19029i 0.588954 + 0.142879i
\(236\) −21.3566 0.187145i −1.39019 0.0121821i
\(237\) 4.19485 + 4.79550i 0.272484 + 0.311501i
\(238\) 25.4829 21.8864i 1.65181 1.41868i
\(239\) 11.6430 20.1663i 0.753125 1.30445i −0.193175 0.981164i \(-0.561879\pi\)
0.946301 0.323287i \(-0.104788\pi\)
\(240\) 6.40436 8.75364i 0.413400 0.565045i
\(241\) 0.899815 1.97032i 0.0579622 0.126919i −0.878435 0.477863i \(-0.841412\pi\)
0.936397 + 0.350943i \(0.114139\pi\)
\(242\) −0.292981 + 0.0697185i −0.0188335 + 0.00448168i
\(243\) 14.6076 5.44237i 0.937075 0.349128i
\(244\) −6.11382 + 8.42836i −0.391397 + 0.539571i
\(245\) 3.50797 + 8.76249i 0.224116 + 0.559815i
\(246\) −20.9495 18.1416i −1.33569 1.15667i
\(247\) −16.4409 + 11.7075i −1.04611 + 0.744931i
\(248\) −22.2984 2.42539i −1.41595 0.154013i
\(249\) 15.3225 + 3.64121i 0.971021 + 0.230752i
\(250\) −2.30610 16.5538i −0.145851 1.04696i
\(251\) 13.6947 + 7.06010i 0.864401 + 0.445630i 0.832607 0.553865i \(-0.186848\pi\)
0.0317943 + 0.999494i \(0.489878\pi\)
\(252\) −14.9357 + 15.6834i −0.940862 + 0.987961i
\(253\) 2.92066 0.857584i 0.183620 0.0539158i
\(254\) 10.0353 + 4.06862i 0.629669 + 0.255288i
\(255\) −16.8346 + 5.91504i −1.05422 + 0.370414i
\(256\) −15.5004 + 3.96697i −0.968777 + 0.247936i
\(257\) 0.371293 3.88836i 0.0231606 0.242549i −0.976477 0.215623i \(-0.930822\pi\)
0.999637 0.0269266i \(-0.00857203\pi\)
\(258\) 1.47405 7.66075i 0.0917703 0.476937i
\(259\) −8.09910 + 27.5830i −0.503254 + 1.71392i
\(260\) −8.64682 + 16.4177i −0.536253 + 1.01818i
\(261\) 12.9874 3.27996i 0.803902 0.203024i
\(262\) −1.93401 6.69500i −0.119483 0.413618i
\(263\) −2.58546 5.66137i −0.159426 0.349095i 0.813015 0.582243i \(-0.197825\pi\)
−0.972441 + 0.233148i \(0.925097\pi\)
\(264\) 16.4040 + 0.138710i 1.00960 + 0.00853699i
\(265\) −0.349380 + 2.42999i −0.0214623 + 0.149273i
\(266\) −15.8457 + 7.15276i −0.971563 + 0.438564i
\(267\) 7.21074 + 12.3552i 0.441290 + 0.756128i
\(268\) 9.56605 13.2850i 0.584340 0.811509i
\(269\) 13.5309i 0.824992i 0.910959 + 0.412496i \(0.135343\pi\)
−0.910959 + 0.412496i \(0.864657\pi\)
\(270\) 10.4179 4.88014i 0.634010 0.296996i
\(271\) 25.7749 + 3.70588i 1.56572 + 0.225116i 0.869945 0.493148i \(-0.164154\pi\)
0.695771 + 0.718264i \(0.255063\pi\)
\(272\) 24.7196 + 9.04368i 1.49885 + 0.548353i
\(273\) 21.3499 30.2812i 1.29215 1.83270i
\(274\) 14.6422 4.22976i 0.884570 0.255529i
\(275\) 6.17774 5.89046i 0.372532 0.355208i
\(276\) −3.14600 + 0.137018i −0.189367 + 0.00824751i
\(277\) −12.8252 3.76581i −0.770590 0.226266i −0.127275 0.991867i \(-0.540623\pi\)
−0.643315 + 0.765602i \(0.722441\pi\)
\(278\) −10.3745 + 11.8674i −0.622224 + 0.711759i
\(279\) −19.5077 13.6175i −1.16790 0.815261i
\(280\) −10.0444 + 12.4326i −0.600267 + 0.742992i
\(281\) −0.720902 + 3.74039i −0.0430054 + 0.223133i −0.997073 0.0764591i \(-0.975639\pi\)
0.954067 + 0.299592i \(0.0968506\pi\)
\(282\) −2.07312 14.3875i −0.123452 0.856764i
\(283\) −2.83989 9.67178i −0.168814 0.574927i −0.999826 0.0186726i \(-0.994056\pi\)
0.831012 0.556255i \(1.81224\pi\)
\(284\) 6.20795 24.6449i 0.368374 1.46241i
\(285\) 9.22229 0.482657i 0.546281 0.0285901i
\(286\) −27.7961 + 3.87225i −1.64362 + 0.228971i
\(287\) 29.5556 + 28.1812i 1.74461 + 1.66348i
\(288\) −16.4408 4.20729i −0.968781 0.247917i
\(289\) −15.2573 21.4258i −0.897486 1.26034i
\(290\) 9.35600 3.19231i 0.549403 0.187459i
\(291\) −11.0958 + 14.2465i −0.650449 + 0.835142i
\(292\) −6.30996 + 8.69876i −0.369262 + 0.509056i
\(293\) 0.366606 + 0.317666i 0.0214174 + 0.0185583i 0.665504 0.746395i \(-0.268217\pi\)
−0.644086 + 0.764953i \(0.722762\pi\)
\(294\) 10.6850 10.1944i 0.623161 0.594548i
\(295\) −15.2070 6.94482i −0.885387 0.404343i
\(296\) −21.9592 + 5.02258i −1.27635 + 0.291931i
\(297\) 15.1895 + 8.48706i 0.881382 + 0.492469i
\(298\) 0.327161 + 0.380924i 0.0189520 + 0.0220663i
\(299\) 5.28983 1.01953i 0.305919 0.0589610i
\(300\) −7.66529 + 4.38402i −0.442556 + 0.253111i
\(301\) −2.71028 + 11.1719i −0.156218 + 0.643939i
\(302\) 0.378505 7.27502i 0.0217805 0.418630i
\(303\) −2.40875 16.2133i −0.138379 0.931429i
\(304\) −10.9567 8.09534i −0.628413 0.464300i
\(305\) −7.05843 + 4.07519i −0.404165 + 0.233345i
\(306\) 18.3880 + 21.0080i 1.05117 + 1.20095i
\(307\) −10.7449 3.71884i −0.613243 0.212246i 0.00275099 0.999996i \(-0.499124\pi\)
−0.615994 + 0.787751i \(0.711246\pi\)
\(308\) −24.1355 1.36178i −1.37525 0.0775945i
\(309\) −11.0803 + 7.19453i −0.630339 + 0.409283i
\(310\) −15.1665 8.84520i −0.861399 0.502374i
\(311\) −17.2343 + 11.0758i −0.977269 + 0.628053i −0.928725 0.370768i \(-0.879094\pi\)
−0.0485440 + 0.998821i \(0.515458\pi\)
\(312\) 28.8769 + 3.00401i 1.63483 + 0.170069i
\(313\) −1.66760 11.5984i −0.0942582 0.655580i −0.981099 0.193505i \(-0.938014\pi\)
0.886841 0.462075i \(-0.152895\pi\)
\(314\) −23.7183 + 24.6578i −1.33850 + 1.39152i
\(315\) −15.6785 + 6.44796i −0.883386 + 0.363301i
\(316\) 2.79404 6.80573i 0.157177 0.382852i
\(317\) −10.4057 0.495686i −0.584444 0.0278405i −0.246722 0.969086i \(-0.579353\pi\)
−0.337722 + 0.941246i \(0.609656\pi\)
\(318\) 3.73261 0.906735i 0.209314 0.0508472i
\(319\) 12.1792 + 8.67279i 0.681906 + 0.485583i
\(320\) −12.3456 2.10761i −0.690141 0.117819i
\(321\) −7.74099 0.332382i −0.432060 0.0185518i
\(322\) 4.64030 + 0.0203308i 0.258594 + 0.00113299i
\(323\) 7.33008 + 21.1789i 0.407856 + 1.17842i
\(324\) −13.1507 12.2907i −0.730592 0.682814i
\(325\) 11.8748 9.33842i 0.658693 0.518002i
\(326\) −31.1288 3.11012i −1.72406 0.172254i
\(327\) −5.78931 1.97335i −0.320150 0.109127i
\(328\) −7.95237 + 30.9961i −0.439096 + 1.71147i
\(329\) 2.03614 + 21.3234i 0.112256 + 1.17560i
\(330\) 11.6822 + 5.33073i 0.643082 + 0.293447i
\(331\) 10.3689 + 20.1129i 0.569927 + 1.10551i 0.981019 + 0.193911i \(0.0621173\pi\)
−0.411092 + 0.911594i \(0.634852\pi\)
\(332\) −4.13238 17.7098i −0.226794 0.971953i
\(333\) −22.9870 6.51610i −1.25968 0.357080i
\(334\) −0.925147 4.91593i −0.0506218 0.268987i
\(335\) 11.0751 6.44595i 0.605099 0.352180i
\(336\) 23.9024 + 7.35296i 1.30399 + 0.401137i
\(337\) 3.01173 + 12.4145i 0.164059 + 0.676261i 0.993120 + 0.117102i \(0.0373606\pi\)
−0.829061 + 0.559159i \(0.811124\pi\)
\(338\) −31.2544 + 1.35161i −1.70001 + 0.0735179i
\(339\) −0.0435248 0.0276842i −0.00236394 0.00150360i
\(340\) 14.7866 + 14.3485i 0.801916 + 0.778154i
\(341\) −2.52419 26.4346i −0.136693 1.43151i
\(342\) −6.06805 13.1134i −0.328123 0.709093i
\(343\) 2.64877 2.29517i 0.143020 0.123928i
\(344\) −8.67586 + 2.42406i −0.467771 + 0.130697i
\(345\) −2.29261 0.905375i −0.123430 0.0487438i
\(346\) −10.2497 + 0.933432i −0.551028 + 0.0501816i
\(347\) 8.66391 + 25.0327i 0.465103 + 1.34383i 0.897050 + 0.441929i \(0.145706\pi\)
−0.431947 + 0.901899i \(0.642173\pi\)
\(348\) −10.0813 11.7307i −0.540415 0.628831i
\(349\) −17.7698 11.4200i −0.951197 0.611297i −0.0296486 0.999560i \(-0.509439\pi\)
−0.921549 + 0.388263i \(0.873075\pi\)
\(350\) 11.5920 5.91195i 0.619619 0.316007i
\(351\) 25.3327 + 17.5076i 1.35216 + 0.934488i
\(352\) −8.30902 17.0228i −0.442872 0.907317i
\(353\) 26.4759 + 1.26120i 1.40917 + 0.0671269i 0.738311 0.674460i \(-0.235624\pi\)
0.670856 + 0.741587i \(0.265927\pi\)
\(354\) −1.23659 + 26.1281i −0.0657243 + 1.38869i
\(355\) 12.2975 15.6376i 0.652684 0.829956i
\(356\) 9.05202 13.8175i 0.479756 0.732326i
\(357\) −25.5831 32.2195i −1.35400 1.70524i
\(358\) −14.8305 23.3006i −0.783819 1.23148i
\(359\) −4.19579 + 2.69647i −0.221445 + 0.142314i −0.646660 0.762778i \(-0.723835\pi\)
0.425215 + 0.905092i \(0.360198\pi\)
\(360\) −10.4109 8.25087i −0.548701 0.434859i
\(361\) 0.352151 + 7.39256i 0.0185343 + 0.389082i
\(362\) 33.6132 + 8.31057i 1.76667 + 0.436794i
\(363\) 0.0715018 + 0.361849i 0.00375287 + 0.0189922i
\(364\) −42.2923 6.45945i −2.21672 0.338567i
\(365\) −7.28488 + 4.20593i −0.381308 + 0.220148i
\(366\) 10.0265 + 7.87994i 0.524093 + 0.411891i
\(367\) 1.46487 3.65908i 0.0764658 0.191002i −0.885210 0.465192i \(-0.845985\pi\)
0.961676 + 0.274190i \(0.0884096\pi\)
\(368\) 1.76260 + 3.18036i 0.0918820 + 0.165788i
\(369\) −23.1907 + 24.7829i −1.20726 + 1.29014i
\(370\) −17.2993 3.41284i −0.899348 0.177425i
\(371\) −5.55806 + 1.07123i −0.288560 + 0.0556154i
\(372\) −4.02028 + 27.1752i −0.208442 + 1.40897i
\(373\) 11.6849 20.2388i 0.605019 1.04792i −0.387029 0.922068i \(-0.626499\pi\)
0.992048 0.125857i \(-0.0401680\pi\)
\(374\) −4.57001 + 30.8257i −0.236309 + 1.59396i
\(375\) −20.3680 + 2.04131i −1.05180 + 0.105413i
\(376\) −13.7993 + 9.55562i −0.711645 + 0.492793i
\(377\) 19.9981 + 17.3284i 1.02995 + 0.892460i
\(378\) 18.4893 + 19.0188i 0.950985 + 0.978220i
\(379\) 11.6840 + 29.1853i 0.600169 + 1.49915i 0.847811 + 0.530298i \(0.177920\pi\)
−0.247642 + 0.968852i \(0.579656\pi\)
\(380\) −5.25065 9.28128i −0.269353 0.476120i
\(381\) 5.45277 12.0896i 0.279354 0.619368i
\(382\) −14.3208 + 27.4821i −0.732713 + 1.40611i
\(383\) −11.4822 10.9483i −0.586713 0.559430i 0.337491 0.941329i \(-0.390422\pi\)
−0.924204 + 0.381899i \(0.875270\pi\)
\(384\) 4.12364 + 19.1571i 0.210434 + 0.977608i
\(385\) −16.8189 8.67075i −0.857171 0.441903i
\(386\) 22.0264 + 10.1760i 1.12111 + 0.517944i
\(387\) −9.30596 2.16541i −0.473048 0.110074i
\(388\) 20.4390 + 4.12537i 1.03763 + 0.209434i
\(389\) −3.48155 + 18.0640i −0.176522 + 0.915882i 0.780344 + 0.625351i \(0.215044\pi\)
−0.956866 + 0.290531i \(0.906168\pi\)
\(390\) 19.6846 + 11.3568i 0.996768 + 0.575076i
\(391\) 0.568615 5.95481i 0.0287561 0.301148i
\(392\) −16.0401 5.78870i −0.810145 0.292373i
\(393\) −8.28482 + 2.05105i −0.417914 + 0.103462i
\(394\) 1.37087 + 1.08782i 0.0690633 + 0.0548034i
\(395\) 4.16781 3.97399i 0.209705 0.199953i
\(396\) 0.943667 20.0693i 0.0474211 1.00852i
\(397\) 0.573614 + 1.25604i 0.0287889 + 0.0630388i 0.923480 0.383646i \(-0.125332\pi\)
−0.894691 + 0.446685i \(0.852604\pi\)
\(398\) 0.359363 0.280067i 0.0180133 0.0140385i
\(399\) 8.00623 + 19.7300i 0.400813 + 0.987736i
\(400\) 8.47991 + 5.66211i 0.423996 + 0.283106i
\(401\) 26.3972i 1.31821i 0.752050 + 0.659106i \(0.229065\pi\)
−0.752050 + 0.659106i \(0.770935\pi\)
\(402\) −15.8073 12.3340i −0.788398 0.615166i
\(403\) 46.9965i 2.34106i
\(404\) −15.5131 + 10.8432i −0.771804 + 0.539469i
\(405\) −5.48100 12.9800i −0.272353 0.644980i
\(406\) 14.0110 + 17.9780i 0.695353 + 0.892231i
\(407\) −11.0786 24.2588i −0.549147 1.20247i
\(408\) 12.2342 29.8261i 0.605683 1.47661i
\(409\) −19.6452 + 18.7316i −0.971391 + 0.926219i −0.997299 0.0734452i \(-0.976601\pi\)
0.0259086 + 0.999664i \(0.491752\pi\)
\(410\) −15.5700 + 19.6214i −0.768949 + 0.969030i
\(411\) −4.48573 18.1193i −0.221265 0.893757i
\(412\) 13.1438 + 7.74295i 0.647551 + 0.381468i
\(413\) 3.66398 38.3710i 0.180293 1.88811i
\(414\) 0.0192654 + 3.85665i 0.000946842 + 0.189544i
\(415\) 2.69399 13.9778i 0.132243 0.686141i
\(416\) −11.7749 31.3882i −0.577313 1.53893i
\(417\) 14.0343 + 13.2566i 0.687262 + 0.649179i
\(418\) 6.76412 14.6412i 0.330844 0.716127i
\(419\) 20.6097 + 10.6250i 1.00685 + 0.519067i 0.881067 0.472991i \(-0.156826\pi\)
0.125782 + 0.992058i \(0.459856\pi\)
\(420\) 14.7416 + 12.8792i 0.719318 + 0.628442i
\(421\) −5.85416 5.58193i −0.285314 0.272046i 0.533883 0.845558i \(-0.320732\pi\)
−0.819197 + 0.573512i \(0.805581\pi\)
\(422\) −2.30067 1.19887i −0.111995 0.0583600i
\(423\) −17.7058 + 1.85838i −0.860883 + 0.0903577i
\(424\) −2.86026 3.38994i −0.138906 0.164630i
\(425\) −6.23446 15.5729i −0.302416 0.755398i
\(426\) −29.8685 8.76021i −1.44713 0.424434i
\(427\) −14.2020 12.3061i −0.687285 0.595536i
\(428\) 3.64517 + 8.17052i 0.176196 + 0.394937i
\(429\) 3.42763 + 34.2005i 0.165488 + 1.65122i
\(430\) −6.97501 1.03407i −0.336365 0.0498671i
\(431\) 5.43651 9.41631i 0.261867 0.453568i −0.704871 0.709336i \(-0.748995\pi\)
0.966738 + 0.255768i \(0.0823284\pi\)
\(432\) −5.92467 + 19.9223i −0.285051 + 0.958512i
\(433\) 33.0411 6.36815i 1.58785 0.306034i 0.682563 0.730827i \(-0.260865\pi\)
0.905290 + 0.424793i \(0.139653\pi\)
\(434\) 7.83521 39.7157i 0.376102 1.90642i
\(435\) −3.46546 11.6008i −0.166156 0.556216i
\(436\) 0.943818 + 6.99925i 0.0452007 + 0.335203i
\(437\) −1.15064 + 2.87416i −0.0550426 + 0.137490i
\(438\) 10.3482 + 8.13275i 0.494454 + 0.388598i
\(439\) −0.643365 + 0.371447i −0.0307062 + 0.0177282i −0.515274 0.857025i \(-0.672310\pi\)
0.484568 + 0.874753i \(0.338977\pi\)
\(440\) −0.510792 14.8186i −0.0243510 0.706450i
\(441\) −11.9722 13.5576i −0.570103 0.645601i
\(442\) −13.2371 + 53.5393i −0.629626 + 2.54660i
\(443\) −1.25476 26.3407i −0.0596155 1.25148i −0.808385 0.588654i \(-0.799658\pi\)
0.748770 0.662830i \(1.76936\pi\)
\(444\) 5.11082 + 27.1114i 0.242549 + 1.28665i
\(445\) 10.8775 6.99055i 0.515643 0.331384i
\(446\) 28.5025 18.1415i 1.34963 0.859026i
\(447\) 0.481623 0.382421i 0.0227800 0.0180879i
\(448\) −4.71774 28.4886i −0.222892 1.34596i
\(449\) −4.58218 + 5.82671i −0.216246 + 0.274980i −0.882059 0.471140i \(-0.843843\pi\)
0.665812 + 0.746119i \(0.268085\pi\)
\(450\) 5.00368 + 9.58789i 0.235876 + 0.451977i
\(451\) −37.8419 1.80263i −1.78190 0.0848826i
\(452\) −0.00618118 + 0.0592415i −0.000290738 + 0.00278649i
\(453\) −8.88557 0.806449i −0.417481 0.0378903i
\(454\) −3.02417 5.92971i −0.141931 0.278295i
\(455\) −28.1725 18.1054i −1.32075 0.848794i
\(456\) −10.4243 + 13.0273i −0.488162 + 0.610061i
\(457\) 9.94629 + 28.7379i 0.465268 + 1.34430i 0.896892 + 0.442250i \(0.145820\pi\)
−0.431624 + 0.902054i \(0.642059\pi\)
\(458\) 1.74677 + 19.1808i 0.0816213 + 0.896258i
\(459\) 26.5778 21.5128i 1.24055 1.00413i
\(460\) 0.245714 + 2.83561i 0.0114565 + 0.132211i
\(461\) 15.4789 13.4125i 0.720924 0.624684i −0.215111 0.976590i \(-0.569011\pi\)
0.936036 + 0.351905i \(0.114466\pi\)
\(462\) −2.80526 + 29.4736i −0.130512 + 1.37124i
\(463\) −0.890586 9.32663i −0.0413890 0.433445i −0.992289 0.123947i \(-0.960445\pi\)
0.950900 0.309499i \(1.89984\pi\)
\(464\) −6.92754 + 16.4620i −0.321603 + 0.764231i
\(465\) −11.5406 + 18.1440i −0.535183 + 0.841408i
\(466\) 0.146756 + 3.39356i 0.00679834 + 0.157203i
\(467\) −0.164814 0.679372i −0.00762668 0.0314376i 0.967871 0.251447i \(-0.0809064\pi\)
−0.975498 + 0.220009i \(0.929391\pi\)
\(468\) 5.03878 35.1989i 0.232917 1.62707i
\(469\) 22.3966 + 19.2701i 1.03418 + 0.889811i
\(470\) −12.9119 + 2.42994i −0.595582 + 0.112085i
\(471\) 29.0581 + 30.1906i 1.33893 + 1.39111i
\(472\) 27.6370 12.1850i 1.27209 0.560858i
\(473\) −4.88686 9.47919i −0.224698 0.435854i
\(474\) −8.19728 3.74053i −0.376514 0.171808i
\(475\) 0.825243 + 8.64234i 0.0378647 + 0.396538i
\(476\) −20.1124 + 43.0381i −0.921853 + 1.97265i
\(477\) −0.933598 4.61088i −0.0427465 0.211118i
\(478\) −3.27394 + 32.7683i −0.149746 + 1.49879i
\(479\) −12.1898 + 9.58617i −0.556967 + 0.438003i −0.856548 0.516067i \(-0.827395\pi\)
0.299581 + 0.954071i \(0.403153\pi\)
\(480\) −3.16182 + 15.0096i −0.144316 + 0.685090i
\(481\) −15.4371 44.6024i −0.703869 2.03370i
\(482\) −0.0134212 + 3.06325i −0.000611317 + 0.139527i
\(483\) 0.243802 5.67801i 0.0110934 0.258358i
\(484\) 0.337079 0.260334i 0.0153218 0.0118334i
\(485\) 13.2951 + 9.46743i 0.603702 + 0.429894i
\(486\) −15.6622 + 15.5144i −0.710450 + 0.703747i
\(487\) −10.7130 0.510323i −0.485452 0.0231249i −0.196570 0.980490i \(-0.562980\pi\)
−0.288882 + 0.957365i \(0.593283\pi\)
\(488\) 2.97657 14.4212i 0.134743 0.652819i
\(489\) −5.27488 + 37.9498i −0.238538 + 1.71615i
\(490\) −9.62009 9.25354i −0.434591 0.418033i
\(491\) 0.0927208 + 0.644887i 0.00418443 + 0.0291033i 0.991807 0.127748i \(-0.0407748\pi\)
−0.987622 + 0.156851i \(0.949866\pi\)
\(492\) 37.5590 + 11.1947i 1.69329 + 0.504697i
\(493\) 24.7181 15.8853i 1.11325 0.715439i
\(494\) 14.3800 24.6567i 0.646985 1.10936i
\(495\) 7.07508 14.0455i 0.318001 0.631300i
\(496\) 30.1533 9.84792i 1.35392 0.442185i
\(497\) 43.3455 + 15.0020i 1.94431 + 0.672933i
\(498\) −21.8689 + 4.22184i −0.979968 + 0.189185i
\(499\) 17.0120 9.82188i 0.761561 0.439688i −0.0682948 0.997665i \(-0.521756\pi\)
0.829856 + 0.557978i \(0.188423\pi\)
\(500\) 12.6042 + 19.9957i 0.563679 + 0.894234i
\(501\) −6.05993 + 0.900305i −0.270738 + 0.0402227i
\(502\) −21.7600 1.13213i −0.971196 0.0505295i
\(503\) −6.70547 + 27.6403i −0.298982 + 1.23242i 0.601976 + 0.798514i \(0.294380\pi\)
−0.900958 + 0.433907i \(0.857135\pi\)
\(504\) 10.1265 28.9058i 0.451070 1.28757i
\(505\) −14.5476 + 2.80382i −0.647360 + 0.124768i
\(506\) −3.26568 + 2.80477i −0.145177 + 0.124687i
\(507\) 0.179630 + 38.3140i 0.00797763 + 1.70158i
\(508\) −15.3025 + 0.594607i −0.678940 + 0.0263814i
\(509\) −5.49887 2.51125i −0.243733 0.111309i 0.289803 0.957086i \(-0.406410\pi\)
−0.533537 + 0.845777i \(0.679137\pi\)
\(510\) 18.2578 17.4194i 0.808467 0.771346i
\(511\) −14.6577 12.7009i −0.648417 0.561856i
\(512\) 17.6715 14.1322i 0.780978 0.624559i
\(513\) −16.3350 + 6.80763i −0.721206 + 0.300564i
\(514\) 1.78383 + 5.22803i 0.0786813 + 0.230599i
\(515\) 6.92648 + 9.72688i 0.305217 + 0.428618i
\(516\) 2.55735 + 10.7322i 0.112581 + 0.472458i
\(517\) −14.3817 13.7130i −0.632508 0.603095i
\(518\) −5.60946 40.2662i −0.246465 1.76920i
\(519\) 0.658805 + 12.5880i 0.0289183 + 0.552553i
\(520\) 1.59303 26.1931i 0.0698589 1.14864i
\(521\) 3.95655 + 13.4748i 0.173339 + 0.590340i 0.999633 + 0.0270999i \(0.00862721\pi\)
−0.826293 + 0.563240i \(0.809555\pi\)
\(522\) −14.8321 + 11.7844i −0.649181 + 0.515791i
\(523\) −5.11229 + 26.5251i −0.223545 + 1.15986i 0.680607 + 0.732649i \(0.261716\pi\)
−0.904152 + 0.427212i \(0.859496\pi\)
\(524\) 6.38833 + 7.50440i 0.279075 + 0.327831i
\(525\) −6.68837 14.4656i −0.291904 0.631332i
\(526\) 6.62663 + 5.79303i 0.288935 + 0.252588i
\(527\) −50.0707 14.7021i −2.18112 0.640433i
\(528\) −21.2251 + 9.36578i −0.923703 + 0.407593i
\(529\) −16.0478 + 15.3016i −0.697732 + 0.665286i
\(530\) −0.963534 3.33549i −0.0418532 0.144884i
\(531\) 31.9182 + 2.74606i 1.38513 + 0.119169i
\(532\) 16.2630 18.4395i 0.705088 0.799452i
\(533\) −66.3657 9.54195i −2.87462 0.413308i
\(534\) −16.4833 11.7301i −0.713302 0.507610i
\(535\) 7.00320i 0.302775i
\(536\) −4.60063 + 22.6900i −0.198717 + 0.980057i
\(537\) −29.2158 + 17.0509i −1.26075 + 0.735800i
\(538\) −7.87285 17.4410i −0.339423 0.751933i
\(539\) 2.87314 19.9831i 0.123755 0.860734i
\(540\) −10.5889 + 12.3519i −0.455673 + 0.531543i
\(541\) −14.1509 30.9861i −0.608393 1.33219i −0.923668 0.383194i \(-0.874824\pi\)
0.315275 0.949000i \(-0.397903\pi\)
\(542\) −35.3795 + 10.2202i −1.51968 + 0.438995i
\(543\) 11.7566 40.7449i 0.504523 1.74853i
\(544\) −37.1250 + 2.72589i −1.59172 + 0.116872i
\(545\) −1.55752 + 5.30441i −0.0667166 + 0.227216i
\(546\) −9.90057 + 51.4540i −0.423705 + 2.20203i
\(547\) 2.27326 23.8067i 0.0971977 1.01790i −0.806932 0.590644i \(-0.798874\pi\)
0.904130 0.427257i \(-0.140520\pi\)
\(548\) −16.4124 + 13.9715i −0.701104 + 0.596835i
\(549\) 10.1168 11.8990i 0.431774 0.507838i
\(550\) −4.53563 + 11.1871i −0.193400 + 0.477021i
\(551\) −14.5909 + 4.28427i −0.621592 + 0.182516i
\(552\) 3.97539 2.00709i 0.169204 0.0854275i
\(553\) 11.8017 + 6.08420i 0.501860 + 0.258727i
\(554\) 18.7225 2.60821i 0.795441 0.110812i
\(555\) −4.99291 + 21.0105i −0.211937 + 0.891846i
\(556\) 6.46756 21.3331i 0.274286 0.904727i
\(557\) −24.6429 + 17.5481i −1.04415 + 0.743538i −0.967334 0.253507i \(-0.918416\pi\)
−0.0768198 + 0.997045i \(0.524477\pi\)
\(558\) 33.0683 + 6.20223i 1.39989 + 0.262561i
\(559\) −7.01489 17.5224i −0.296698 0.741117i
\(560\) 5.71312 21.8696i 0.241423 0.924161i
\(561\) 37.5100 + 7.04724i 1.58367 + 0.297535i
\(562\) −1.24710 5.24073i −0.0526057 0.221067i
\(563\) −9.43418 + 20.6580i −0.397603 + 0.870629i 0.599905 + 0.800072i \(0.295205\pi\)
−0.997508 + 0.0705579i \(0.977522\pi\)
\(564\) 11.0435 + 17.3389i 0.465014 + 0.730100i
\(565\) −0.0233119 + 0.0403775i −0.000980741 + 0.00169869i
\(566\) 9.28801 + 10.8143i 0.390404 + 0.454559i
\(567\) 24.1482 21.7306i 1.01413 0.912598i
\(568\) 6.33760 + 35.3788i 0.265920 + 1.48446i
\(569\) 32.7767 + 7.95154i 1.37407 + 0.333346i 0.853776 0.520641i \(-0.174307\pi\)
0.520294 + 0.853987i \(0.325822\pi\)
\(570\) −11.6065 + 5.98807i −0.486142 + 0.250812i
\(571\) 1.23893 3.09470i 0.0518476 0.129509i −0.900183 0.435512i \(-0.856567\pi\)
0.952031 + 0.306003i \(0.0989917\pi\)
\(572\) 33.5754 21.1642i 1.40386 0.884920i
\(573\) 32.9579 + 18.8228i 1.37684 + 0.786334i
\(574\) −54.4935 19.1281i −2.27451 0.798393i
\(575\) 0.757893 2.18979i 0.0316063 0.0913205i
\(576\) 23.6397 4.14286i 0.984989 0.172619i
\(577\) −1.25544 26.3550i −0.0522648 1.09717i −0.860871 0.508823i \(-0.830081\pi\)
0.808606 0.588350i \(-0.200222\pi\)
\(578\) 32.1327 + 18.7400i 1.33655 + 0.779482i
\(579\) 13.4929 26.4766i 0.560746 1.10033i
\(580\) −10.2022 + 9.55853i −0.423624 + 0.396897i
\(581\) 32.4870 4.67092i 1.34779 0.193783i
\(582\) 6.01305 24.8194i 0.249249 1.02880i
\(583\) 3.24599 4.12762i 0.134435 0.170948i
\(584\) 3.07206 14.8839i 0.127123 0.615900i
\(585\) 14.8276 23.5549i 0.613046 0.973876i
\(586\) −0.657379 0.196156i −0.0271561 0.00810314i
\(587\) 11.9899 16.8375i 0.494877 0.694957i −0.489306 0.872112i \(-0.662750\pi\)
0.984183 + 0.177155i \(0.0566894\pi\)
\(588\) −7.84115 + 19.3573i −0.323364 + 0.798282i
\(589\) 22.7207 + 14.6017i 0.936189 + 0.601652i
\(590\) 23.6423 + 0.103585i 0.973338 + 0.00426453i
\(591\) 1.39598 1.62639i 0.0574231 0.0669009i
\(592\) 25.3825 19.2508i 1.04321 0.791203i
\(593\) −19.1681 24.3742i −0.787138 1.00093i −0.999717 0.0237837i \(-0.992429\pi\)
0.212579 0.977144i \(-0.431814\pi\)
\(594\) −24.5170 2.10172i −1.00594 0.0862347i
\(595\) −28.1031 + 24.3515i −1.15211 + 0.998312i
\(596\) −0.643341 0.300645i −0.0263523 0.0123149i
\(597\) −0.325802 0.453015i −0.0133342 0.0185407i
\(598\) −6.22525 + 4.39200i −0.254570 + 0.179602i
\(599\) −6.02819 + 3.10775i −0.246305 + 0.126979i −0.576959 0.816773i \(-0.695761\pi\)
0.330654 + 0.943752i \(0.392731\pi\)
\(600\) 7.32956 10.1109i 0.299228 0.412775i
\(601\) −2.25740 9.30512i −0.0920812 0.379564i 0.907060 0.421002i \(-0.138321\pi\)
−0.999141 + 0.0414378i \(0.986806\pi\)
\(602\) −3.00683 15.9773i −0.122549 0.651186i
\(603\) −15.8406 + 18.7637i −0.645079 + 0.764116i
\(604\) 3.74504 + 9.59755i 0.152383 + 0.390519i
\(605\) 0.323987 0.0785983i 0.0131719 0.00319548i
\(606\) 12.5384 + 19.4970i 0.509339 + 0.792011i
\(607\) −2.15699 4.18398i −0.0875495 0.169822i 0.840996 0.541042i \(-0.181970\pi\)
−0.928545 + 0.371220i \(0.878940\pi\)
\(608\) 18.8332 + 4.05958i 0.763787 + 0.164638i
\(609\) 22.6631 16.2990i 0.918355 0.660468i
\(610\) 6.72702 9.35972i 0.272369 0.378964i
\(611\) −23.0305 26.5786i −0.931715 1.07526i
\(612\) −35.9251 16.3798i −1.45219 0.662114i
\(613\) 14.2598 11.2140i 0.575948 0.452931i −0.287207 0.957868i \(-0.592727\pi\)
0.863156 + 0.504938i \(0.168484\pi\)
\(614\) 16.0137 1.45835i 0.646260 0.0588542i
\(615\) 23.2788 + 19.9809i 0.938691 + 0.805706i
\(616\) 31.9024 12.2878i 1.28538 0.495088i
\(617\) −6.08384 + 9.46665i −0.244926 + 0.381113i −0.941851 0.336032i \(-0.890915\pi\)
0.696924 + 0.717145i \(0.254551\pi\)
\(618\) 10.0962 15.7206i 0.406129 0.632376i
\(619\) −9.39492 6.69009i −0.377614 0.268898i 0.375453 0.926841i \(-0.377487\pi\)
−0.753067 + 0.657944i \(0.771426\pi\)
\(620\) 24.6958 + 2.57672i 0.991806 + 0.103484i
\(621\) 4.72082 + 0.158372i 0.189440 + 0.00635523i
\(622\) 15.7702 24.3042i 0.632329 0.974508i
\(623\) 23.4342 + 18.4288i 0.938870 + 0.738335i
\(624\) −38.9695 + 12.9297i −1.56003 + 0.517604i
\(625\) 0.819216 + 5.69777i 0.0327686 + 0.227911i
\(626\) 8.89795 + 13.9798i 0.355633 + 0.558744i
\(627\) −17.5994 8.96891i −0.702851 0.358184i
\(628\) 16.2253 45.5837i 0.647461 1.81899i
\(629\) −52.3493 + 2.49371i −2.08730 + 0.0994306i
\(630\) 16.4575 17.4337i 0.655684 0.694576i
\(631\) 11.1193 + 3.84843i 0.442652 + 0.153203i 0.539297 0.842115i \(-0.318690\pi\)
−0.0966449 + 0.995319i \(0.530811\pi\)
\(632\) 0.358419 + 10.3981i 0.0142571 + 0.413615i
\(633\) −1.57576 + 2.75909i −0.0626308 + 0.109664i
\(634\) 13.7011 5.41558i 0.544142 0.215080i
\(635\) −11.1286 4.45523i −0.441626 0.176800i
\(636\) −4.28367 + 3.34056i −0.169858 + 0.132462i
\(637\) 8.42359 34.7225i 0.333755 1.37576i
\(638\) −20.7449 4.09260i −0.821300 0.162028i
\(639\) −12.1302 + 36.1408i −0.479863 + 1.42971i
\(640\) 17.1395 4.46655i 0.677498 0.176556i
\(641\) 3.67945 + 2.12433i 0.145330 + 0.0839060i 0.570902 0.821018i \(-0.306594\pi\)
−0.425572 + 0.904925i \(0.639927\pi\)
\(642\) 10.1713 4.07562i 0.401431 0.160852i
\(643\) 11.9899 + 5.47560i 0.472835 + 0.215937i 0.637557 0.770404i \(-0.279945\pi\)
−0.164721 + 0.986340i \(0.552673\pi\)
\(644\) −5.99306 + 2.67372i −0.236160 + 0.105359i
\(645\) −1.59459 + 8.48748i −0.0627871 + 0.334194i
\(646\) −21.7711 23.0341i −0.856572 0.906264i
\(647\) 2.29195 0.917559i 0.0901059 0.0360730i −0.326172 0.945311i \(-0.605759\pi\)
0.416278 + 0.909238i \(0.363334\pi\)
\(648\) 24.1021 + 8.19072i 0.946821 + 0.321762i
\(649\) 20.7419 + 29.1279i 0.814191 + 1.14337i
\(650\) −9.87278 + 18.9462i −0.387242 + 0.743133i
\(651\) −48.2359 11.4627i −1.89051 0.449259i
\(652\) 41.9338 14.1032i 1.64226 0.552324i
\(653\) 17.0150 33.0045i 0.665848 1.29156i −0.277808 0.960637i \(-0.589608\pi\)
0.943656 0.330928i \(-0.107362\pi\)
\(654\) 8.61046 0.824867i 0.336696 0.0322549i
\(655\) 2.17339 + 7.40188i 0.0849213 + 0.289215i
\(656\) −7.78448 44.5803i −0.303933 1.74057i
\(657\) 10.4414 12.2808i 0.407356 0.479118i
\(658\) −15.0314 26.3007i −0.585987 1.02531i
\(659\) −25.8181 2.46533i −1.00573 0.0960356i −0.420829 0.907140i \(-0.638261\pi\)
−0.584902 + 0.811104i \(0.698867\pi\)
\(660\) −18.1597 0.0739887i −0.706864 0.00288000i
\(661\) 16.4577 + 4.83241i 0.640130 + 0.187959i 0.585661 0.810556i \(-0.300835\pi\)
0.0544692 + 0.998515i \(0.482653\pi\)
\(662\) −25.0679 19.8919i −0.974290 0.773122i
\(663\) 64.8988 + 18.7260i 2.52046 + 0.727256i
\(664\) 15.6309 + 20.4231i 0.606596 + 0.792571i
\(665\) 17.5063 7.99485i 0.678864 0.310027i
\(666\) 33.4210 4.97574i 1.29504 0.192806i
\(667\) 4.01758 + 0.577641i 0.155561 + 0.0223663i
\(668\) 4.05279 + 5.79822i 0.156807 + 0.224340i
\(669\) −20.8575 35.7383i −0.806399 1.38172i
\(670\) −10.5250 + 14.7527i −0.406618 + 0.569945i
\(671\) 17.4332 0.673001
\(672\) −35.0879 + 4.42970i −1.35355 + 0.170880i
\(673\) 1.13460 7.89131i 0.0437356 0.304188i −0.956199 0.292719i \(-0.905440\pi\)
0.999934 0.0114691i \(-0.00365080\pi\)
\(674\) −11.1053 14.2496i −0.427762 0.548876i
\(675\) 11.9701 5.67135i 0.460728 0.218290i
\(676\) 39.4997 19.9273i 1.51922 0.766436i
\(677\) −23.0122 24.1345i −0.884431 0.927565i 0.113389 0.993551i \(-0.463829\pi\)
−0.997821 + 0.0659857i \(0.978981\pi\)
\(678\) 0.0722103 + 0.0103596i 0.00277322 + 0.000397860i
\(679\) −10.6021 + 36.1076i −0.406873 + 1.38568i
\(680\) −27.4081 9.89132i −1.05105 0.379315i
\(681\) −7.39967 + 3.42133i −0.283556 + 0.131106i
\(682\) 18.6344 + 32.6048i 0.713548 + 1.24850i
\(683\) −2.07280 0.399499i −0.0793134 0.0152864i 0.149440 0.988771i \(-0.452253\pi\)
−0.228754 + 0.973484i \(0.573465\pi\)
\(684\) 15.4515 + 13.3722i 0.590804 + 0.511300i
\(685\) −16.1882 + 4.75329i −0.618520 + 0.181614i
\(686\) −2.07877 + 4.49959i −0.0793678 + 0.171795i
\(687\) 23.5565 1.23285i 0.898737 0.0470362i
\(688\) 9.77254 8.17255i 0.372575 0.311576i
\(689\) 6.41311 6.72588i 0.244320 0.256235i
\(690\) 3.48191 0.166935i 0.132554 0.00635511i
\(691\) 9.36437 6.66834i 0.356237 0.253676i −0.387901 0.921701i \(-0.626800\pi\)
0.744138 + 0.668026i \(0.232860\pi\)
\(692\) 12.6685 7.16691i 0.481585 0.272445i
\(693\) 35.9385 + 4.82368i 1.36519 + 0.183236i
\(694\) −25.7327 27.2255i −0.976800 1.03347i
\(695\) 11.4269 13.1873i 0.433447 0.500225i
\(696\) 19.8200 + 9.25482i 0.751275 + 0.350803i
\(697\) −30.9276 + 67.7220i −1.17147 + 2.56515i
\(698\) 29.5495 + 4.38081i 1.11847 + 0.165816i
\(699\) 4.16008 0.0195039i 0.157349 0.000737707i
\(700\) −11.5020 + 14.3651i −0.434734 + 0.542950i
\(701\) 8.61508 + 44.6993i 0.325387 + 1.68827i 0.664313 + 0.747455i \(0.268724\pi\)
−0.338926 + 0.940813i \(0.610064\pi\)
\(702\) −42.8399 7.82725i −1.61689 0.295420i
\(703\) 26.3595 + 6.39475i 0.994168 + 0.241183i
\(704\) 20.6147 + 17.1074i 0.776946 + 0.644759i
\(705\) 2.36469 + 15.9167i 0.0890595 + 0.599457i
\(706\) −34.8606 + 13.7792i −1.31199 + 0.518585i
\(707\) −17.0796 29.5827i −0.642343 1.11257i
\(708\) −13.6085 34.3980i −0.511440 1.29275i
\(709\) −0.542014 + 1.56605i −0.0203558 + 0.0588141i −0.954721 0.297503i \(-0.903846\pi\)
0.934365 + 0.356317i \(0.115968\pi\)
\(710\) −6.75258 + 27.3117i −0.253420 + 1.02499i
\(711\) −4.96453 + 9.85566i −0.186184 + 0.369616i
\(712\) −3.62821 + 23.0773i −0.135973 + 0.864857i
\(713\) −3.89737 6.06442i −0.145958 0.227114i
\(714\) 51.7227 + 26.6448i 1.93567 + 0.997156i
\(715\) 30.7511 4.42133i 1.15002 0.165349i
\(716\) 32.6735 + 21.4049i 1.22107 + 0.799937i
\(717\) 39.9486 + 5.55271i 1.49191 + 0.207370i
\(718\) 3.83934 5.91697i 0.143283 0.220820i
\(719\) −0.402216 + 8.44356i −0.0150001 + 0.314891i 0.978881 + 0.204433i \(0.0655350\pi\)
−0.993881 + 0.110459i \(0.964768\pi\)
\(720\) 18.2201 + 4.57767i 0.679022 + 0.170600i
\(721\) −15.9701 + 22.4269i −0.594758 + 0.835220i
\(722\) −4.75523 9.32393i −0.176971 0.347001i
\(723\) 3.74828 + 0.160943i 0.139400 + 0.00598554i
\(724\) −48.1620 + 8.84549i −1.78993 + 0.328740i
\(725\) 10.7560 3.72269i 0.399468 0.138257i
\(726\) −0.302704 0.424812i −0.0112344 0.0157662i
\(727\) 3.54562 + 4.50862i 0.131500 + 0.167216i 0.847344 0.531045i \(-0.178200\pi\)
−0.715844 + 0.698260i \(0.753958\pi\)
\(728\) 58.2721 16.2814i 2.15971 0.603429i
\(729\) 18.2482 + 19.8999i 0.675858 + 0.737032i
\(730\) 6.94284 9.66000i 0.256966 0.357533i
\(731\) −20.8631 + 1.99218i −0.771649 + 0.0736835i
\(732\) −17.5088 4.32320i −0.647144 0.159790i
\(733\) −25.4055 + 13.0974i −0.938374 + 0.483765i −0.858371 0.513029i \(-0.828523\pi\)
−0.0800026 + 0.996795i \(0.525493\pi\)
\(734\) 0.240825 + 5.56879i 0.00888902 + 0.205548i
\(735\) −11.7787 + 11.3368i −0.434463 + 0.418166i
\(736\) −4.12242 3.07384i −0.151954 0.113303i
\(737\) −27.4091 + 0.0957936i −1.00963 + 0.00352860i
\(738\) 15.4725 45.4379i 0.569550 1.67259i
\(739\) −2.00386 + 0.486132i −0.0737132 + 0.0178826i −0.272446 0.962171i \(-0.587833\pi\)
0.198733 + 0.980054i \(0.436317\pi\)
\(740\) 24.2841 5.66642i 0.892702 0.208302i
\(741\) −29.4974 18.7620i −1.08361 0.689238i
\(742\) 6.54092 4.61471i 0.240125 0.169411i
\(743\) −3.37328 + 0.322109i −0.123754 + 0.0118170i −0.156749 0.987638i \(-0.550101\pi\)
0.0329954 + 0.999456i \(0.489495\pi\)
\(744\) −10.6297 37.3673i −0.389703 1.36995i
\(745\) −0.364010 0.420090i −0.0133363 0.0153909i
\(746\) −3.28570 + 32.8861i −0.120298 + 1.20404i
\(747\) 4.13511 + 26.9631i 0.151296 + 0.986528i
\(748\) −12.0451 42.3926i −0.440413 1.55003i
\(749\) −15.2589 + 5.28117i −0.557549 + 0.192970i