Properties

Label 648.2.bb.b.155.25
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.25
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.25

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.04169 + 0.956491i) q^{2} +(1.63974 + 0.557908i) q^{3} +(0.170251 - 1.99274i) q^{4} +(-1.60979 + 1.05877i) q^{5} +(-2.24174 + 0.987224i) q^{6} +(-1.00602 - 0.949130i) q^{7} +(1.72869 + 2.23867i) q^{8} +(2.37748 + 1.82965i) q^{9} +O(q^{10})\) \(q+(-1.04169 + 0.956491i) q^{2} +(1.63974 + 0.557908i) q^{3} +(0.170251 - 1.99274i) q^{4} +(-1.60979 + 1.05877i) q^{5} +(-2.24174 + 0.987224i) q^{6} +(-1.00602 - 0.949130i) q^{7} +(1.72869 + 2.23867i) q^{8} +(2.37748 + 1.82965i) q^{9} +(0.664198 - 2.64266i) q^{10} +(0.968063 + 1.92757i) q^{11} +(1.39093 - 3.17259i) q^{12} +(5.48198 - 2.36470i) q^{13} +(1.95580 + 0.0264549i) q^{14} +(-3.23033 + 0.837997i) q^{15} +(-3.94203 - 0.678533i) q^{16} +(2.40897 + 2.87090i) q^{17} +(-4.22664 + 0.368105i) q^{18} +(-0.268535 - 0.225327i) q^{19} +(1.83579 + 3.38814i) q^{20} +(-1.12008 - 2.11759i) q^{21} +(-2.85213 - 1.08200i) q^{22} +(-0.552084 - 0.585174i) q^{23} +(1.58562 + 4.63528i) q^{24} +(-0.509987 + 1.18228i) q^{25} +(-3.44874 + 7.70676i) q^{26} +(2.87766 + 4.32655i) q^{27} +(-2.06265 + 1.84314i) q^{28} +(-6.60001 + 0.771431i) q^{29} +(2.56347 - 3.96271i) q^{30} +(2.41758 + 10.2006i) q^{31} +(4.75540 - 3.06369i) q^{32} +(0.511961 + 3.70080i) q^{33} +(-5.25539 - 0.686439i) q^{34} +(2.62439 + 0.462751i) q^{35} +(4.05078 - 4.42620i) q^{36} +(-7.36298 + 1.29829i) q^{37} +(0.495255 - 0.0221289i) q^{38} +(10.3083 - 0.819040i) q^{39} +(-5.15306 - 1.77349i) q^{40} +(5.62821 + 4.19004i) q^{41} +(3.19224 + 1.13453i) q^{42} +(0.0630875 - 1.08317i) q^{43} +(4.00596 - 1.60093i) q^{44} +(-5.76441 - 0.428129i) q^{45} +(1.13482 + 0.0815097i) q^{46} +(3.10073 + 0.734887i) q^{47} +(-6.08533 - 3.31191i) q^{48} +(-0.295787 - 5.07847i) q^{49} +(-0.599592 - 1.71937i) q^{50} +(2.34838 + 6.05150i) q^{51} +(-3.77891 - 11.3268i) q^{52} +(4.63750 + 8.03239i) q^{53} +(-7.13595 - 1.75448i) q^{54} +(-3.59924 - 2.07802i) q^{55} +(0.385695 - 3.89289i) q^{56} +(-0.314615 - 0.519296i) q^{57} +(6.13732 - 7.11644i) q^{58} +(2.43447 - 4.84743i) q^{59} +(1.11994 + 6.57987i) q^{60} +(14.0448 - 4.20475i) q^{61} +(-12.2751 - 8.31349i) q^{62} +(-0.655217 - 4.09719i) q^{63} +(-2.02328 + 7.73992i) q^{64} +(-6.32115 + 9.61084i) q^{65} +(-4.07309 - 3.36542i) q^{66} +(-7.42466 - 0.867818i) q^{67} +(6.13108 - 4.31167i) q^{68} +(-0.578799 - 1.26754i) q^{69} +(-3.17643 + 2.02816i) q^{70} +(-3.22352 - 1.17327i) q^{71} +(0.0139475 + 8.48527i) q^{72} +(7.68273 - 2.79628i) q^{73} +(6.42816 - 8.39504i) q^{74} +(-1.49585 + 1.65411i) q^{75} +(-0.494738 + 0.496758i) q^{76} +(0.855627 - 2.85799i) q^{77} +(-9.95469 + 10.7130i) q^{78} +(-4.95633 + 3.68985i) q^{79} +(7.06424 - 3.08142i) q^{80} +(2.30480 + 8.69988i) q^{81} +(-9.87060 + 1.01858i) q^{82} +(-6.36991 + 4.74222i) q^{83} +(-4.41050 + 1.87151i) q^{84} +(-6.91755 - 2.07098i) q^{85} +(0.970325 + 1.18867i) q^{86} +(-11.2527 - 2.41726i) q^{87} +(-2.64172 + 5.49934i) q^{88} +(-0.850472 - 2.33665i) q^{89} +(6.41425 - 5.06763i) q^{90} +(-7.75939 - 2.82419i) q^{91} +(-1.26009 + 1.00053i) q^{92} +(-1.72679 + 18.0751i) q^{93} +(-3.93293 + 2.20030i) q^{94} +(0.670854 + 0.0784116i) q^{95} +(9.50686 - 2.37057i) q^{96} +(-0.829534 - 0.545593i) q^{97} +(5.16563 + 5.00729i) q^{98} +(-1.22522 + 6.35397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.04169 + 0.956491i −0.736589 + 0.676341i
\(3\) 1.63974 + 0.557908i 0.946703 + 0.322108i
\(4\) 0.170251 1.99274i 0.0851256 0.996370i
\(5\) −1.60979 + 1.05877i −0.719918 + 0.473498i −0.855852 0.517220i \(-0.826967\pi\)
0.135934 + 0.990718i \(0.456596\pi\)
\(6\) −2.24174 + 0.987224i −0.915186 + 0.403033i
\(7\) −1.00602 0.949130i −0.380240 0.358738i 0.472266 0.881456i \(-0.343436\pi\)
−0.852505 + 0.522719i \(0.824918\pi\)
\(8\) 1.72869 + 2.23867i 0.611184 + 0.791489i
\(9\) 2.37748 + 1.82965i 0.792492 + 0.609882i
\(10\) 0.664198 2.64266i 0.210038 0.835683i
\(11\) 0.968063 + 1.92757i 0.291882 + 0.581185i 0.991006 0.133815i \(-0.0427229\pi\)
−0.699124 + 0.715000i \(0.746427\pi\)
\(12\) 1.39093 3.17259i 0.401528 0.915847i
\(13\) 5.48198 2.36470i 1.52043 0.655849i 0.538078 0.842895i \(-0.319151\pi\)
0.982351 + 0.187046i \(0.0598914\pi\)
\(14\) 1.95580 + 0.0264549i 0.522709 + 0.00707036i
\(15\) −3.23033 + 0.837997i −0.834066 + 0.216370i
\(16\) −3.94203 0.678533i −0.985507 0.169633i
\(17\) 2.40897 + 2.87090i 0.584260 + 0.696295i 0.974492 0.224422i \(-0.0720495\pi\)
−0.390232 + 0.920717i \(0.627605\pi\)
\(18\) −4.22664 + 0.368105i −0.996229 + 0.0867632i
\(19\) −0.268535 0.225327i −0.0616061 0.0516937i 0.611465 0.791272i \(-0.290581\pi\)
−0.673071 + 0.739578i \(0.735025\pi\)
\(20\) 1.83579 + 3.38814i 0.410496 + 0.757612i
\(21\) −1.12008 2.11759i −0.244422 0.462096i
\(22\) −2.85213 1.08200i −0.608076 0.230682i
\(23\) −0.552084 0.585174i −0.115117 0.122017i 0.667252 0.744832i \(-0.267470\pi\)
−0.782369 + 0.622815i \(0.785989\pi\)
\(24\) 1.58562 + 4.63528i 0.323664 + 0.946172i
\(25\) −0.509987 + 1.18228i −0.101997 + 0.236457i
\(26\) −3.44874 + 7.70676i −0.676353 + 1.51142i
\(27\) 2.87766 + 4.32655i 0.553807 + 0.832645i
\(28\) −2.06265 + 1.84314i −0.389804 + 0.348322i
\(29\) −6.60001 + 0.771431i −1.22559 + 0.143251i −0.704159 0.710042i \(-0.748676\pi\)
−0.521432 + 0.853293i \(0.674602\pi\)
\(30\) 2.56347 3.96271i 0.468024 0.723489i
\(31\) 2.41758 + 10.2006i 0.434211 + 1.83208i 0.545263 + 0.838265i \(0.316430\pi\)
−0.111052 + 0.993815i \(0.535422\pi\)
\(32\) 4.75540 3.06369i 0.840643 0.541589i
\(33\) 0.511961 + 3.70080i 0.0891210 + 0.644227i
\(34\) −5.25539 0.686439i −0.901292 0.117723i
\(35\) 2.62439 + 0.462751i 0.443603 + 0.0782192i
\(36\) 4.05078 4.42620i 0.675129 0.737699i
\(37\) −7.36298 + 1.29829i −1.21047 + 0.213438i −0.742217 0.670159i \(-0.766226\pi\)
−0.468248 + 0.883597i \(0.655115\pi\)
\(38\) 0.495255 0.0221289i 0.0803409 0.00358978i
\(39\) 10.3083 0.819040i 1.65065 0.131151i
\(40\) −5.15306 1.77349i −0.814771 0.280413i
\(41\) 5.62821 + 4.19004i 0.878978 + 0.654375i 0.939036 0.343820i \(-0.111721\pi\)
−0.0600575 + 0.998195i \(0.519128\pi\)
\(42\) 3.19224 + 1.13453i 0.492573 + 0.175062i
\(43\) 0.0630875 1.08317i 0.00962075 0.165182i −0.990076 0.140536i \(-0.955117\pi\)
0.999696 0.0246455i \(-0.00784569\pi\)
\(44\) 4.00596 1.60093i 0.603922 0.241349i
\(45\) −5.76441 0.428129i −0.859308 0.0638217i
\(46\) 1.13482 + 0.0815097i 0.167319 + 0.0120179i
\(47\) 3.10073 + 0.734887i 0.452288 + 0.107194i 0.450445 0.892804i \(-0.351265\pi\)
0.00184304 + 0.999998i \(0.499413\pi\)
\(48\) −6.08533 3.31191i −0.878342 0.478032i
\(49\) −0.295787 5.07847i −0.0422553 0.725496i
\(50\) −0.599592 1.71937i −0.0847951 0.243156i
\(51\) 2.34838 + 6.05150i 0.328839 + 0.847379i
\(52\) −3.77891 11.3268i −0.524041 1.57074i
\(53\) 4.63750 + 8.03239i 0.637010 + 1.10333i 0.986086 + 0.166239i \(0.0531622\pi\)
−0.349076 + 0.937094i \(0.613504\pi\)
\(54\) −7.13595 1.75448i −0.971080 0.238755i
\(55\) −3.59924 2.07802i −0.485321 0.280200i
\(56\) 0.385695 3.89289i 0.0515406 0.520210i
\(57\) −0.314615 0.519296i −0.0416717 0.0687824i
\(58\) 6.13732 7.11644i 0.805870 0.934435i
\(59\) 2.43447 4.84743i 0.316941 0.631082i −0.677599 0.735431i \(-0.736980\pi\)
0.994541 + 0.104349i \(0.0332760\pi\)
\(60\) 1.11994 + 6.57987i 0.144584 + 0.849458i
\(61\) 14.0448 4.20475i 1.79826 0.538363i 0.800146 0.599805i \(-0.204755\pi\)
0.998111 + 0.0614421i \(0.0195700\pi\)
\(62\) −12.2751 8.31349i −1.55895 1.05581i
\(63\) −0.655217 4.09719i −0.0825495 0.516198i
\(64\) −2.02328 + 7.73992i −0.252909 + 0.967490i
\(65\) −6.32115 + 9.61084i −0.784042 + 1.19208i
\(66\) −4.07309 3.36542i −0.501363 0.414254i
\(67\) −7.42466 0.867818i −0.907066 0.106021i −0.350250 0.936656i \(-0.613903\pi\)
−0.556817 + 0.830635i \(0.687977\pi\)
\(68\) 6.13108 4.31167i 0.743503 0.522867i
\(69\) −0.578799 1.26754i −0.0696792 0.152594i
\(70\) −3.17643 + 2.02816i −0.379656 + 0.242412i
\(71\) −3.22352 1.17327i −0.382562 0.139241i 0.143578 0.989639i \(-0.454139\pi\)
−0.526140 + 0.850398i \(0.676361\pi\)
\(72\) 0.0139475 + 8.48527i 0.00164373 + 0.999999i
\(73\) 7.68273 2.79628i 0.899195 0.327280i 0.149265 0.988797i \(-0.452309\pi\)
0.749930 + 0.661517i \(0.230087\pi\)
\(74\) 6.42816 8.39504i 0.747259 0.975904i
\(75\) −1.49585 + 1.65411i −0.172726 + 0.191000i
\(76\) −0.494738 + 0.496758i −0.0567503 + 0.0569820i
\(77\) 0.855627 2.85799i 0.0975077 0.325699i
\(78\) −9.95469 + 10.7130i −1.12715 + 1.21301i
\(79\) −4.95633 + 3.68985i −0.557631 + 0.415141i −0.838738 0.544536i \(-0.816706\pi\)
0.281107 + 0.959676i \(0.409298\pi\)
\(80\) 7.06424 3.08142i 0.789806 0.344513i
\(81\) 2.30480 + 8.69988i 0.256089 + 0.966653i
\(82\) −9.87060 + 1.01858i −1.09003 + 0.112484i
\(83\) −6.36991 + 4.74222i −0.699188 + 0.520526i −0.887052 0.461669i \(-0.847251\pi\)
0.187864 + 0.982195i \(0.439843\pi\)
\(84\) −4.41050 + 1.87151i −0.481225 + 0.204198i
\(85\) −6.91755 2.07098i −0.750314 0.224629i
\(86\) 0.970325 + 1.18867i 0.104633 + 0.128178i
\(87\) −11.2527 2.41726i −1.20641 0.259157i
\(88\) −2.64172 + 5.49934i −0.281608 + 0.586232i
\(89\) −0.850472 2.33665i −0.0901498 0.247685i 0.886421 0.462879i \(-0.153184\pi\)
−0.976571 + 0.215195i \(0.930961\pi\)
\(90\) 6.41425 5.06763i 0.676121 0.534175i
\(91\) −7.75939 2.82419i −0.813405 0.296055i
\(92\) −1.26009 + 1.00053i −0.131374 + 0.104313i
\(93\) −1.72679 + 18.0751i −0.179059 + 1.87430i
\(94\) −3.93293 + 2.20030i −0.405650 + 0.226943i
\(95\) 0.670854 + 0.0784116i 0.0688282 + 0.00804486i
\(96\) 9.50686 2.37057i 0.970290 0.241946i
\(97\) −0.829534 0.545593i −0.0842264 0.0553966i 0.506697 0.862124i \(-0.330866\pi\)
−0.590924 + 0.806727i \(0.701237\pi\)
\(98\) 5.16563 + 5.00729i 0.521807 + 0.505813i
\(99\) −1.22522 + 6.35397i −0.123140 + 0.638598i
\(100\) 2.26916 + 1.21756i 0.226916 + 0.121756i
\(101\) −1.20620 4.02899i −0.120021 0.400900i 0.876773 0.480904i \(-0.159692\pi\)
−0.996794 + 0.0800048i \(0.974506\pi\)
\(102\) −8.23449 4.05760i −0.815336 0.401763i
\(103\) 8.19035 16.3083i 0.807019 1.60691i 0.0123033 0.999924i \(-0.496084\pi\)
0.794715 0.606982i \(-0.207620\pi\)
\(104\) 14.7704 + 8.18452i 1.44836 + 0.802559i
\(105\) 4.04514 + 2.22296i 0.394765 + 0.216938i
\(106\) −12.5138 3.93156i −1.21544 0.381867i
\(107\) −9.81948 5.66928i −0.949285 0.548070i −0.0564262 0.998407i \(-0.517971\pi\)
−0.892859 + 0.450337i \(0.851304\pi\)
\(108\) 9.11162 4.99784i 0.876766 0.480917i
\(109\) −3.70598 + 2.13965i −0.354969 + 0.204941i −0.666871 0.745173i \(-0.732367\pi\)
0.311903 + 0.950114i \(0.399034\pi\)
\(110\) 5.73691 1.27798i 0.546993 0.121850i
\(111\) −12.7977 1.97901i −1.21470 0.187839i
\(112\) 3.32174 + 4.42412i 0.313875 + 0.418040i
\(113\) 16.5889 0.966194i 1.56055 0.0908919i 0.744007 0.668172i \(-0.232923\pi\)
0.816546 + 0.577280i \(0.195886\pi\)
\(114\) 0.824433 + 0.240021i 0.0772153 + 0.0224800i
\(115\) 1.50830 + 0.357475i 0.140650 + 0.0333347i
\(116\) 0.413601 + 13.2834i 0.0384019 + 1.23334i
\(117\) 17.3599 + 4.40807i 1.60492 + 0.407526i
\(118\) 2.10055 + 7.37809i 0.193371 + 0.679208i
\(119\) 0.301386 5.17460i 0.0276280 0.474355i
\(120\) −7.46022 5.78299i −0.681022 0.527913i
\(121\) 3.79036 5.09133i 0.344578 0.462848i
\(122\) −10.6086 + 17.8138i −0.960459 + 1.61279i
\(123\) 6.89112 + 10.0106i 0.621351 + 0.902625i
\(124\) 20.7387 3.08095i 1.86239 0.276678i
\(125\) −2.10369 11.9306i −0.188160 1.06711i
\(126\) 4.60146 + 3.64131i 0.409931 + 0.324394i
\(127\) 4.71068 + 0.830620i 0.418005 + 0.0737056i 0.378695 0.925521i \(-0.376373\pi\)
0.0393101 + 0.999227i \(0.487484\pi\)
\(128\) −5.29553 9.99787i −0.468063 0.883695i
\(129\) 0.707756 1.74092i 0.0623145 0.153279i
\(130\) −2.60798 16.0577i −0.228735 1.40835i
\(131\) −3.98902 16.8310i −0.348522 1.47053i −0.811601 0.584213i \(-0.801403\pi\)
0.463079 0.886317i \(-0.346745\pi\)
\(132\) 7.46190 0.390140i 0.649475 0.0339573i
\(133\) 0.0562861 + 0.481558i 0.00488062 + 0.0417564i
\(134\) 8.56428 6.19762i 0.739841 0.535392i
\(135\) −9.21326 3.91803i −0.792951 0.337210i
\(136\) −2.26263 + 10.3558i −0.194019 + 0.887999i
\(137\) −13.2464 5.71395i −1.13172 0.488176i −0.253930 0.967223i \(-0.581723\pi\)
−0.877790 + 0.479047i \(0.840983\pi\)
\(138\) 1.81533 + 0.766777i 0.154531 + 0.0652724i
\(139\) −6.91154 7.32580i −0.586229 0.621366i 0.364570 0.931176i \(-0.381216\pi\)
−0.950799 + 0.309810i \(0.899735\pi\)
\(140\) 1.36895 5.15094i 0.115697 0.435334i
\(141\) 4.67439 + 2.93495i 0.393655 + 0.247167i
\(142\) 4.48014 1.86109i 0.375965 0.156179i
\(143\) 9.86503 + 8.27774i 0.824955 + 0.692220i
\(144\) −8.13061 8.82571i −0.677551 0.735476i
\(145\) 9.80784 8.22975i 0.814497 0.683444i
\(146\) −5.32843 + 10.2613i −0.440984 + 0.849234i
\(147\) 2.34831 8.49238i 0.193685 0.700440i
\(148\) 1.33360 + 14.8935i 0.109621 + 1.22424i
\(149\) 2.42702 + 5.62647i 0.198830 + 0.460939i 0.988237 0.152931i \(-0.0488713\pi\)
−0.789407 + 0.613870i \(0.789612\pi\)
\(150\) −0.0239212 3.15384i −0.00195316 0.257510i
\(151\) −0.349304 0.695522i −0.0284260 0.0566008i 0.878971 0.476874i \(-0.158230\pi\)
−0.907397 + 0.420274i \(0.861934\pi\)
\(152\) 0.0402206 0.990681i 0.00326232 0.0803549i
\(153\) 0.474545 + 11.2330i 0.0383647 + 0.908138i
\(154\) 1.84234 + 3.79555i 0.148460 + 0.305854i
\(155\) −14.6919 13.8611i −1.18008 1.11335i
\(156\) 0.122867 20.6812i 0.00983721 1.65582i
\(157\) 4.97397 + 7.56255i 0.396966 + 0.603558i 0.977565 0.210632i \(-0.0675521\pi\)
−0.580599 + 0.814189i \(0.697182\pi\)
\(158\) 1.63367 8.58438i 0.129968 0.682937i
\(159\) 3.12295 + 15.7583i 0.247666 + 1.24971i
\(160\) −4.41142 + 9.96678i −0.348753 + 0.787943i
\(161\) 1.11270i 0.0876927i
\(162\) −10.7222 6.85809i −0.842419 0.538823i
\(163\) −10.1937 −0.798432 −0.399216 0.916857i \(-0.630718\pi\)
−0.399216 + 0.916857i \(0.630718\pi\)
\(164\) 9.30788 10.5022i 0.726823 0.820083i
\(165\) −4.74246 5.41545i −0.369200 0.421592i
\(166\) 2.09960 11.0327i 0.162961 0.856303i
\(167\) 4.81220 3.16504i 0.372379 0.244918i −0.349500 0.936936i \(-0.613649\pi\)
0.721880 + 0.692018i \(0.243278\pi\)
\(168\) 2.80431 6.16814i 0.216358 0.475882i
\(169\) 15.5392 16.4706i 1.19532 1.26697i
\(170\) 9.18684 4.45925i 0.704599 0.342009i
\(171\) −0.226166 1.02703i −0.0172954 0.0785393i
\(172\) −2.14774 0.310128i −0.163763 0.0236470i
\(173\) −8.13950 + 4.08781i −0.618835 + 0.310791i −0.730455 0.682960i \(-0.760692\pi\)
0.111621 + 0.993751i \(0.464396\pi\)
\(174\) 14.0339 8.24504i 1.06391 0.625055i
\(175\) 1.63520 0.705355i 0.123609 0.0533198i
\(176\) −2.50821 8.25541i −0.189064 0.622275i
\(177\) 6.69632 6.59030i 0.503326 0.495358i
\(178\) 3.12092 + 1.62061i 0.233923 + 0.121470i
\(179\) −5.23486 6.23867i −0.391272 0.466300i 0.534066 0.845443i \(-0.320663\pi\)
−0.925338 + 0.379143i \(0.876219\pi\)
\(180\) −1.83455 + 11.4141i −0.136739 + 0.850756i
\(181\) 7.44220 8.86926i 0.553174 0.659247i −0.414913 0.909861i \(-0.636188\pi\)
0.968087 + 0.250614i \(0.0806324\pi\)
\(182\) 10.7842 4.47985i 0.799379 0.332068i
\(183\) 25.3757 + 0.941044i 1.87583 + 0.0695640i
\(184\) 0.355631 2.24752i 0.0262175 0.165689i
\(185\) 10.4782 9.88569i 0.770374 0.726811i
\(186\) −15.4899 20.4803i −1.13577 1.50169i
\(187\) −3.20183 + 7.42267i −0.234141 + 0.542799i
\(188\) 1.99234 6.05384i 0.145307 0.441522i
\(189\) 1.21147 7.08387i 0.0881218 0.515276i
\(190\) −0.773825 + 0.559985i −0.0561392 + 0.0406256i
\(191\) −4.60344 + 0.538065i −0.333093 + 0.0389330i −0.280996 0.959709i \(-0.590665\pi\)
−0.0520975 + 0.998642i \(0.516591\pi\)
\(192\) −7.63580 + 11.5626i −0.551067 + 0.834461i
\(193\) 23.1660 5.49043i 1.66752 0.395210i 0.714866 0.699261i \(-0.246488\pi\)
0.952656 + 0.304051i \(0.0983394\pi\)
\(194\) 1.38597 0.225101i 0.0995072 0.0161613i
\(195\) −15.7270 + 12.2326i −1.12623 + 0.875997i
\(196\) −10.1704 0.275188i −0.726459 0.0196563i
\(197\) 2.70871 15.3618i 0.192987 1.09449i −0.722268 0.691613i \(-0.756900\pi\)
0.915256 0.402873i \(-0.131989\pi\)
\(198\) −4.80120 7.79081i −0.341207 0.553669i
\(199\) 7.85644 1.38530i 0.556928 0.0982014i 0.111902 0.993719i \(-0.464306\pi\)
0.445026 + 0.895518i \(0.353195\pi\)
\(200\) −3.52835 + 0.902106i −0.249492 + 0.0637885i
\(201\) −11.6903 5.56527i −0.824572 0.392544i
\(202\) 5.11018 + 3.04325i 0.359551 + 0.214123i
\(203\) 7.37193 + 5.48820i 0.517408 + 0.385196i
\(204\) 12.4589 3.64943i 0.872296 0.255512i
\(205\) −13.4965 0.786083i −0.942638 0.0549024i
\(206\) 7.06692 + 24.8223i 0.492376 + 1.72945i
\(207\) −0.241905 2.40136i −0.0168135 0.166906i
\(208\) −23.2147 + 5.60200i −1.60965 + 0.388429i
\(209\) 0.174376 0.735751i 0.0120619 0.0508930i
\(210\) −6.34003 + 1.55350i −0.437504 + 0.107201i
\(211\) −1.02220 17.5504i −0.0703709 1.20822i −0.829962 0.557820i \(-0.811638\pi\)
0.759591 0.650401i \(-0.225399\pi\)
\(212\) 16.7960 7.87381i 1.15355 0.540776i
\(213\) −4.63116 3.72228i −0.317322 0.255046i
\(214\) 15.6515 3.48659i 1.06991 0.238338i
\(215\) 1.04527 + 1.81047i 0.0712871 + 0.123473i
\(216\) −4.71113 + 13.9214i −0.320552 + 0.947231i
\(217\) 7.24955 12.5566i 0.492132 0.852397i
\(218\) 1.81394 5.77359i 0.122856 0.391037i
\(219\) 14.1577 0.298917i 0.956690 0.0201989i
\(220\) −4.75373 + 6.81856i −0.320496 + 0.459707i
\(221\) 19.9947 + 10.0417i 1.34499 + 0.675480i
\(222\) 15.2242 10.1793i 1.02178 0.683192i
\(223\) −22.5023 + 6.73676i −1.50687 + 0.451127i −0.930570 0.366113i \(-0.880688\pi\)
−0.576298 + 0.817240i \(0.695503\pi\)
\(224\) −7.69186 1.43136i −0.513934 0.0956367i
\(225\) −3.37564 + 1.87776i −0.225043 + 0.125184i
\(226\) −16.3564 + 16.8736i −1.08801 + 1.12242i
\(227\) −13.0048 + 19.7728i −0.863156 + 1.31237i 0.0855913 + 0.996330i \(0.472722\pi\)
−0.948748 + 0.316035i \(0.897648\pi\)
\(228\) −1.08838 + 0.538535i −0.0720800 + 0.0356653i
\(229\) −0.459401 + 3.93043i −0.0303581 + 0.259730i 0.969533 + 0.244961i \(0.0787753\pi\)
−0.999891 + 0.0147687i \(0.995299\pi\)
\(230\) −1.91311 + 1.07030i −0.126147 + 0.0705735i
\(231\) 2.99750 4.20900i 0.197221 0.276932i
\(232\) −13.1363 13.4417i −0.862443 0.882489i
\(233\) −0.0695627 + 0.191122i −0.00455721 + 0.0125208i −0.941950 0.335752i \(-0.891010\pi\)
0.937393 + 0.348273i \(0.113232\pi\)
\(234\) −22.2999 + 12.0127i −1.45779 + 0.785293i
\(235\) −5.76960 + 2.09996i −0.376367 + 0.136986i
\(236\) −9.24520 5.67655i −0.601811 0.369512i
\(237\) −10.1857 + 3.28521i −0.661631 + 0.213397i
\(238\) 4.63551 + 5.67862i 0.300475 + 0.368090i
\(239\) −0.272569 + 0.910444i −0.0176310 + 0.0588917i −0.966352 0.257222i \(-0.917193\pi\)
0.948721 + 0.316114i \(0.102378\pi\)
\(240\) 13.3026 1.11153i 0.858682 0.0717488i
\(241\) 15.3126 + 20.5684i 0.986373 + 1.32493i 0.945450 + 0.325766i \(0.105622\pi\)
0.0409222 + 0.999162i \(0.486970\pi\)
\(242\) 0.921422 + 8.92905i 0.0592312 + 0.573981i
\(243\) −1.07447 + 15.5514i −0.0689273 + 0.997622i
\(244\) −5.98782 28.7036i −0.383331 1.83756i
\(245\) 5.85310 + 7.86208i 0.373941 + 0.502290i
\(246\) −16.7535 3.83668i −1.06816 0.244618i
\(247\) −2.00494 0.600238i −0.127571 0.0381922i
\(248\) −18.6565 + 23.0458i −1.18469 + 1.46341i
\(249\) −13.0907 + 4.22217i −0.829589 + 0.267569i
\(250\) 13.6029 + 10.4159i 0.860326 + 0.658760i
\(251\) −9.47908 26.0436i −0.598314 1.64385i −0.754633 0.656148i \(-0.772185\pi\)
0.156319 0.987707i \(-0.450037\pi\)
\(252\) −8.27620 + 0.608124i −0.521351 + 0.0383082i
\(253\) 0.593514 1.63067i 0.0373139 0.102519i
\(254\) −5.70157 + 3.64047i −0.357748 + 0.228423i
\(255\) −10.1876 7.25522i −0.637969 0.454339i
\(256\) 15.0792 + 5.34959i 0.942449 + 0.334350i
\(257\) −2.87882 + 24.6299i −0.179576 + 1.53637i 0.539827 + 0.841776i \(0.318490\pi\)
−0.719402 + 0.694593i \(0.755584\pi\)
\(258\) 0.927907 + 2.49047i 0.0577689 + 0.155050i
\(259\) 8.63954 + 5.68232i 0.536835 + 0.353082i
\(260\) 18.0757 + 14.2327i 1.12101 + 0.882672i
\(261\) −17.1028 10.2416i −1.05864 0.633940i
\(262\) 20.2540 + 13.7173i 1.25130 + 0.847456i
\(263\) 1.33029 + 4.44349i 0.0820294 + 0.273997i 0.989158 0.146857i \(-0.0469156\pi\)
−0.907128 + 0.420854i \(0.861730\pi\)
\(264\) −7.39985 + 7.54364i −0.455429 + 0.464279i
\(265\) −15.9699 8.02036i −0.981021 0.492687i
\(266\) −0.519239 0.447799i −0.0318366 0.0274563i
\(267\) −0.0909136 4.30598i −0.00556382 0.263522i
\(268\) −2.99339 + 14.6477i −0.182851 + 0.894749i
\(269\) 4.52270 7.83355i 0.275754 0.477620i −0.694571 0.719424i \(-0.744406\pi\)
0.970325 + 0.241804i \(0.0777391\pi\)
\(270\) 13.3450 4.73101i 0.812148 0.287920i
\(271\) 13.2107 7.62721i 0.802494 0.463320i −0.0418486 0.999124i \(-0.513325\pi\)
0.844342 + 0.535804i \(0.179991\pi\)
\(272\) −7.54822 12.9517i −0.457678 0.785313i
\(273\) −11.1477 8.95995i −0.674691 0.542281i
\(274\) 19.2641 6.71790i 1.16379 0.405843i
\(275\) −2.77263 + 0.161488i −0.167196 + 0.00973807i
\(276\) −2.62443 + 0.937595i −0.157972 + 0.0564366i
\(277\) −7.44275 + 31.4034i −0.447191 + 1.88685i 0.0146626 + 0.999892i \(0.495333\pi\)
−0.461854 + 0.886956i \(0.652816\pi\)
\(278\) 14.2068 + 1.02042i 0.852065 + 0.0612007i
\(279\) −12.9157 + 28.6750i −0.773243 + 1.71673i
\(280\) 3.50081 + 6.67509i 0.209213 + 0.398913i
\(281\) −13.6313 0.793935i −0.813178 0.0473622i −0.353485 0.935440i \(-0.615003\pi\)
−0.459693 + 0.888078i \(0.652040\pi\)
\(282\) −7.67653 + 1.41369i −0.457131 + 0.0841843i
\(283\) 1.43359 1.92565i 0.0852183 0.114468i −0.757470 0.652871i \(-0.773565\pi\)
0.842688 + 0.538402i \(0.180972\pi\)
\(284\) −2.88682 + 6.22390i −0.171302 + 0.369320i
\(285\) 1.05628 + 0.502850i 0.0625685 + 0.0297862i
\(286\) −18.1939 + 0.812937i −1.07583 + 0.0480700i
\(287\) −1.68519 9.55717i −0.0994734 0.564142i
\(288\) 16.9113 + 1.41683i 0.996509 + 0.0834877i
\(289\) 0.513101 2.90994i 0.0301824 0.171173i
\(290\) −2.34508 + 17.9540i −0.137708 + 1.05429i
\(291\) −1.05583 1.35743i −0.0618937 0.0795741i
\(292\) −4.26428 15.7858i −0.249548 0.923791i
\(293\) −15.1873 + 3.59945i −0.887251 + 0.210282i −0.648879 0.760892i \(-0.724762\pi\)
−0.238372 + 0.971174i \(0.576614\pi\)
\(294\) 5.67667 + 11.0926i 0.331070 + 0.646933i
\(295\) 1.21335 + 10.3809i 0.0706440 + 0.604398i
\(296\) −15.6347 14.2389i −0.908750 0.827621i
\(297\) −5.55398 + 9.73528i −0.322274 + 0.564898i
\(298\) −7.90988 3.53964i −0.458207 0.205046i
\(299\) −4.41027 1.90241i −0.255053 0.110019i
\(300\) 3.04154 + 3.26245i 0.175603 + 0.188358i
\(301\) −1.09154 + 1.02981i −0.0629152 + 0.0593574i
\(302\) 1.02913 + 0.390414i 0.0592197 + 0.0224658i
\(303\) 0.269954 7.27944i 0.0155084 0.418193i
\(304\) 0.905680 + 1.07046i 0.0519443 + 0.0613949i
\(305\) −18.1573 + 21.6390i −1.03968 + 1.23905i
\(306\) −11.2386 11.2475i −0.642470 0.642976i
\(307\) −11.3291 + 9.50627i −0.646588 + 0.542551i −0.906033 0.423206i \(-0.860905\pi\)
0.259446 + 0.965758i \(0.416460\pi\)
\(308\) −5.54957 2.19162i −0.316216 0.124879i
\(309\) 22.5286 22.1719i 1.28160 1.26132i
\(310\) 28.5625 + 0.386347i 1.62224 + 0.0219430i
\(311\) −3.76197 8.72124i −0.213322 0.494536i 0.777635 0.628716i \(-0.216419\pi\)
−0.990957 + 0.134180i \(0.957160\pi\)
\(312\) 19.6534 + 21.6610i 1.11265 + 1.22631i
\(313\) −1.42327 + 0.714792i −0.0804478 + 0.0404024i −0.488568 0.872526i \(-0.662481\pi\)
0.408120 + 0.912928i \(0.366184\pi\)
\(314\) −12.4149 3.12031i −0.700611 0.176089i
\(315\) 5.39276 + 5.90188i 0.303848 + 0.332533i
\(316\) 6.50910 + 10.5049i 0.366165 + 0.590946i
\(317\) 17.0266 18.0471i 0.956308 1.01363i −0.0435858 0.999050i \(-0.513878\pi\)
0.999894 0.0145775i \(-0.00464034\pi\)
\(318\) −18.3258 13.4282i −1.02766 0.753019i
\(319\) −7.87622 11.9752i −0.440983 0.670483i
\(320\) −4.93778 14.6018i −0.276030 0.816266i
\(321\) −12.9384 14.7745i −0.722153 0.824632i
\(322\) −1.06428 1.15909i −0.0593102 0.0645935i
\(323\) 1.31374i 0.0730986i
\(324\) 17.7290 3.11170i 0.984944 0.172872i
\(325\) 7.68722i 0.426410i
\(326\) 10.6187 9.75018i 0.588116 0.540013i
\(327\) −7.27056 + 1.44087i −0.402063 + 0.0796801i
\(328\) 0.349292 + 19.8430i 0.0192864 + 1.09564i
\(329\) −2.42189 3.68231i −0.133523 0.203012i
\(330\) 10.1200 + 1.10512i 0.557089 + 0.0608350i
\(331\) 1.90588 2.02011i 0.104757 0.111035i −0.672874 0.739758i \(-0.734940\pi\)
0.777630 + 0.628722i \(0.216422\pi\)
\(332\) 8.36553 + 13.5009i 0.459118 + 0.740960i
\(333\) −19.8807 10.3850i −1.08946 0.569093i
\(334\) −1.98551 + 7.89983i −0.108642 + 0.432259i
\(335\) 12.8709 6.46403i 0.703214 0.353168i
\(336\) 2.97853 + 9.10762i 0.162492 + 0.496861i
\(337\) 1.37438 + 3.18616i 0.0748671 + 0.173561i 0.951540 0.307526i \(-0.0995012\pi\)
−0.876673 + 0.481088i \(0.840242\pi\)
\(338\) −0.433121 + 32.0205i −0.0235587 + 1.74168i
\(339\) 27.7405 + 7.67078i 1.50666 + 0.416620i
\(340\) −5.30464 + 13.4323i −0.287685 + 0.728469i
\(341\) −17.3220 + 14.5349i −0.938039 + 0.787108i
\(342\) 1.21794 + 0.853529i 0.0658589 + 0.0461536i
\(343\) −10.7458 + 12.8063i −0.580217 + 0.691476i
\(344\) 2.53392 1.73123i 0.136620 0.0933418i
\(345\) 2.27378 + 1.42766i 0.122416 + 0.0768626i
\(346\) 4.56891 12.0436i 0.245626 0.647468i
\(347\) 4.52060 4.26497i 0.242679 0.228956i −0.555286 0.831659i \(-0.687391\pi\)
0.797965 + 0.602704i \(0.205910\pi\)
\(348\) −6.73274 + 22.0121i −0.360913 + 1.17997i
\(349\) 13.9736 + 6.02760i 0.747987 + 0.322650i 0.735730 0.677275i \(-0.236839\pi\)
0.0122571 + 0.999925i \(0.496098\pi\)
\(350\) −1.02871 + 2.29881i −0.0549868 + 0.122877i
\(351\) 26.0063 + 16.9133i 1.38811 + 0.902764i
\(352\) 10.5090 + 6.20052i 0.560132 + 0.330489i
\(353\) 1.00210 + 8.57348i 0.0533362 + 0.456320i 0.993346 + 0.115172i \(0.0367418\pi\)
−0.940009 + 0.341149i \(0.889184\pi\)
\(354\) −0.671945 + 13.2700i −0.0357135 + 0.705295i
\(355\) 6.43141 1.52427i 0.341344 0.0809000i
\(356\) −4.80114 + 1.29695i −0.254460 + 0.0687383i
\(357\) 3.38115 8.31684i 0.178949 0.440174i
\(358\) 11.4204 + 1.49168i 0.603584 + 0.0788378i
\(359\) −2.69259 + 15.2704i −0.142109 + 0.805943i 0.827533 + 0.561417i \(0.189744\pi\)
−0.969643 + 0.244526i \(0.921368\pi\)
\(360\) −9.00643 13.6447i −0.474681 0.719139i
\(361\) −3.27798 18.5903i −0.172525 0.978438i
\(362\) 0.730880 + 16.3574i 0.0384142 + 0.859728i
\(363\) 9.05568 6.23378i 0.475300 0.327188i
\(364\) −6.94892 + 14.9816i −0.364222 + 0.785251i
\(365\) −9.40692 + 12.6357i −0.492381 + 0.661382i
\(366\) −27.3338 + 23.2913i −1.42876 + 1.21746i
\(367\) 22.2995 + 1.29880i 1.16402 + 0.0677967i 0.629253 0.777200i \(-0.283361\pi\)
0.534771 + 0.844997i \(0.320398\pi\)
\(368\) 1.77927 + 2.68138i 0.0927508 + 0.139777i
\(369\) 5.71464 + 20.2594i 0.297492 + 1.05466i
\(370\) −1.45952 + 20.3202i −0.0758771 + 1.05640i
\(371\) 2.95837 12.4823i 0.153591 0.648050i
\(372\) 35.7249 + 6.51834i 1.85225 + 0.337960i
\(373\) 9.06867 0.528190i 0.469558 0.0273486i 0.178265 0.983983i \(-0.442952\pi\)
0.291293 + 0.956634i \(0.405915\pi\)
\(374\) −3.76439 10.7947i −0.194652 0.558179i
\(375\) 3.20669 20.7368i 0.165593 1.07084i
\(376\) 3.71503 + 8.21191i 0.191588 + 0.423497i
\(377\) −34.3570 + 19.8360i −1.76947 + 1.02161i
\(378\) 5.51367 + 8.53799i 0.283593 + 0.439147i
\(379\) −2.69016 + 4.65950i −0.138184 + 0.239342i −0.926809 0.375532i \(-0.877460\pi\)
0.788625 + 0.614874i \(0.210793\pi\)
\(380\) 0.270468 1.32349i 0.0138747 0.0678936i
\(381\) 7.26087 + 3.99012i 0.371986 + 0.204420i
\(382\) 4.28072 4.96365i 0.219021 0.253962i
\(383\) −19.5899 9.83840i −1.00100 0.502719i −0.128692 0.991685i \(-0.541078\pi\)
−0.872303 + 0.488966i \(0.837374\pi\)
\(384\) −3.10539 19.3483i −0.158471 0.987364i
\(385\) 1.64859 + 5.50667i 0.0840199 + 0.280646i
\(386\) −18.8803 + 27.8774i −0.960981 + 1.41892i
\(387\) 2.13181 2.45979i 0.108366 0.125038i
\(388\) −1.22845 + 1.56016i −0.0623653 + 0.0792050i
\(389\) −25.9299 17.0543i −1.31470 0.864689i −0.318175 0.948032i \(-0.603070\pi\)
−0.996521 + 0.0833427i \(0.973440\pi\)
\(390\) 4.68230 27.7854i 0.237098 1.40697i
\(391\) 0.350023 2.99464i 0.0177014 0.151446i
\(392\) 10.8577 9.44126i 0.548396 0.476856i
\(393\) 2.84920 29.8239i 0.143723 1.50442i
\(394\) 11.8718 + 18.5932i 0.598094 + 0.936712i
\(395\) 4.07192 11.1875i 0.204880 0.562904i
\(396\) 12.4532 + 3.52333i 0.625798 + 0.177054i
\(397\) −3.78029 10.3863i −0.189727 0.521272i 0.807960 0.589237i \(-0.200572\pi\)
−0.997688 + 0.0679650i \(0.978349\pi\)
\(398\) −6.85897 + 8.95767i −0.343809 + 0.449007i
\(399\) −0.176371 + 0.821032i −0.00882959 + 0.0411030i
\(400\) 2.81260 4.31455i 0.140630 0.215727i
\(401\) 8.91234 + 2.66818i 0.445061 + 0.133243i 0.501489 0.865164i \(-0.332786\pi\)
−0.0564278 + 0.998407i \(0.517971\pi\)
\(402\) 17.5009 5.38438i 0.872864 0.268549i
\(403\) 37.3745 + 50.2026i 1.86175 + 2.50077i
\(404\) −8.23409 + 1.71770i −0.409661 + 0.0854590i
\(405\) −12.9214 11.5647i −0.642071 0.574654i
\(406\) −12.9287 + 1.33416i −0.641641 + 0.0662133i
\(407\) −9.63038 12.9358i −0.477360 0.641206i
\(408\) −9.48768 + 15.7184i −0.469710 + 0.778176i
\(409\) −3.55160 + 11.8632i −0.175615 + 0.586596i 0.824179 + 0.566329i \(0.191637\pi\)
−0.999795 + 0.0202668i \(0.993548\pi\)
\(410\) 14.8111 12.0904i 0.731469 0.597104i
\(411\) −18.5328 16.7597i −0.914156 0.826694i
\(412\) −31.1038 19.0977i −1.53238 0.940878i
\(413\) −7.04997 + 2.56598i −0.346906 + 0.126264i
\(414\) 2.54887 + 2.27010i 0.125270 + 0.111569i
\(415\) 5.23325 14.3782i 0.256890 0.705800i
\(416\) 18.8243 28.0402i 0.922938 1.37478i
\(417\) −7.24598 15.8684i −0.354837 0.777079i
\(418\) 0.522093 + 0.933217i 0.0255364 + 0.0456451i
\(419\) −0.683004 + 5.84347i −0.0333669 + 0.285472i 0.966245 + 0.257624i \(0.0829396\pi\)
−0.999612 + 0.0278483i \(0.991134\pi\)
\(420\) 5.11847 7.68245i 0.249756 0.374865i
\(421\) 13.1203 19.9484i 0.639442 0.972225i −0.359789 0.933034i \(-0.617151\pi\)
0.999232 0.0391915i \(-0.0124782\pi\)
\(422\) 17.8516 + 17.3044i 0.869004 + 0.842367i
\(423\) 6.02734 + 7.42042i 0.293059 + 0.360793i
\(424\) −9.96506 + 24.2673i −0.483946 + 1.17852i
\(425\) −4.62275 + 1.38396i −0.224236 + 0.0671320i
\(426\) 8.38457 0.552185i 0.406234 0.0267534i
\(427\) −18.1202 9.10032i −0.876899 0.440395i
\(428\) −12.9692 + 18.6025i −0.626889 + 0.899185i
\(429\) 11.5578 + 19.0771i 0.558018 + 0.921051i
\(430\) −2.82055 0.886158i −0.136019 0.0427343i
\(431\) 12.5985 21.8213i 0.606850 1.05109i −0.384907 0.922956i \(-0.625766\pi\)
0.991756 0.128139i \(-0.0409003\pi\)
\(432\) −8.40813 19.0080i −0.404536 0.914522i
\(433\) −11.6207 20.1277i −0.558456 0.967273i −0.997626 0.0688694i \(-0.978061\pi\)
0.439170 0.898404i \(-0.355273\pi\)
\(434\) 4.45845 + 20.0142i 0.214012 + 0.960715i
\(435\) 20.6737 8.02276i 0.991229 0.384662i
\(436\) 3.63282 + 7.74934i 0.173980 + 0.371126i
\(437\) 0.0163978 + 0.281539i 0.000784413 + 0.0134679i
\(438\) −14.4621 + 13.8531i −0.691026 + 0.661927i
\(439\) 7.95379 33.5597i 0.379614 1.60172i −0.362862 0.931843i \(-0.618200\pi\)
0.742476 0.669873i \(-0.233651\pi\)
\(440\) −1.56996 11.6497i −0.0748448 0.555380i
\(441\) 8.58857 12.6151i 0.408980 0.600721i
\(442\) −30.4332 + 8.66436i −1.44756 + 0.412122i
\(443\) 1.54979 + 0.0902649i 0.0736327 + 0.00428862i 0.0949216 0.995485i \(-0.469740\pi\)
−0.0212889 + 0.999773i \(0.506777\pi\)
\(444\) −6.12247 + 25.1655i −0.290559 + 1.19430i
\(445\) 3.84306 + 2.86105i 0.182179 + 0.135627i
\(446\) 16.9969 28.5409i 0.804826 1.35145i
\(447\) 0.840627 + 10.5800i 0.0397603 + 0.500417i
\(448\) 9.38165 5.86616i 0.443241 0.277150i
\(449\) −8.61675 + 1.51937i −0.406650 + 0.0717033i −0.373232 0.927738i \(-0.621750\pi\)
−0.0334180 + 0.999441i \(0.510639\pi\)
\(450\) 1.72033 5.18481i 0.0810970 0.244414i
\(451\) −2.62815 + 14.9050i −0.123755 + 0.701849i
\(452\) 0.898908 33.2219i 0.0422811 1.56263i
\(453\) −0.184730 1.33535i −0.00867937 0.0627403i
\(454\) −5.36550 33.0361i −0.251815 1.55046i
\(455\) 15.4811 3.66910i 0.725767 0.172010i
\(456\) 0.618660 1.60202i 0.0289714 0.0750214i
\(457\) 0.228430 0.0266997i 0.0106855 0.00124896i −0.110748 0.993848i \(-0.535325\pi\)
0.121434 + 0.992600i \(0.461251\pi\)
\(458\) −3.28086 4.53372i −0.153305 0.211847i
\(459\) −5.48888 + 18.6840i −0.256199 + 0.872094i
\(460\) 0.969145 2.94480i 0.0451866 0.137302i
\(461\) 6.99423 16.2145i 0.325754 0.755183i −0.674109 0.738632i \(-0.735472\pi\)
0.999863 0.0165508i \(-0.00526852\pi\)
\(462\) 0.903389 + 7.25157i 0.0420295 + 0.337373i
\(463\) −11.4696 + 10.8210i −0.533038 + 0.502895i −0.905034 0.425339i \(-0.860155\pi\)
0.371996 + 0.928234i \(0.378673\pi\)
\(464\) 26.5409 + 1.43732i 1.23213 + 0.0667260i
\(465\) −16.3576 30.9253i −0.758568 1.43413i
\(466\) −0.110343 0.265627i −0.00511156 0.0123049i
\(467\) 9.73486 11.6016i 0.450476 0.536856i −0.492237 0.870461i \(-0.663821\pi\)
0.942713 + 0.333605i \(0.108265\pi\)
\(468\) 11.7397 33.8432i 0.542667 1.56440i
\(469\) 6.64568 + 7.92001i 0.306869 + 0.365712i
\(470\) 4.00156 7.70608i 0.184578 0.355455i
\(471\) 3.93680 + 15.1756i 0.181398 + 0.699256i
\(472\) 15.0602 2.92972i 0.693204 0.134851i
\(473\) 2.14896 0.926972i 0.0988094 0.0426222i
\(474\) 7.46808 13.1647i 0.343020 0.604674i
\(475\) 0.403350 0.202570i 0.0185070 0.00929455i
\(476\) −10.2603 1.48157i −0.470281 0.0679075i
\(477\) −3.67086 + 27.5818i −0.168077 + 1.26288i
\(478\) −0.586898 1.20911i −0.0268441 0.0553036i
\(479\) −16.4496 + 17.4356i −0.751603 + 0.796653i −0.984413 0.175870i \(-0.943726\pi\)
0.232811 + 0.972522i \(0.425208\pi\)
\(480\) −12.7941 + 13.8817i −0.583969 + 0.633611i
\(481\) −37.2937 + 24.5284i −1.70044 + 1.11840i
\(482\) −35.6246 6.77961i −1.62265 0.308803i
\(483\) −0.620782 + 1.82453i −0.0282466 + 0.0830190i
\(484\) −9.50039 8.42000i −0.431836 0.382727i
\(485\) 1.91303 0.0868663
\(486\) −13.7555 17.2275i −0.623961 0.781455i
\(487\) 40.0079i 1.81293i 0.422280 + 0.906465i \(0.361230\pi\)
−0.422280 + 0.906465i \(0.638770\pi\)
\(488\) 33.6922 + 24.1730i 1.52517 + 1.09426i
\(489\) −16.7150 5.68715i −0.755878 0.257182i
\(490\) −13.6171 2.59144i −0.615160 0.117069i
\(491\) −21.6772 32.9585i −0.978276 1.48740i −0.869865 0.493291i \(-0.835794\pi\)
−0.108412 0.994106i \(-0.534576\pi\)
\(492\) 21.1217 12.0279i 0.952241 0.542260i
\(493\) −18.1139 17.0896i −0.815810 0.769677i
\(494\) 2.66265 1.29244i 0.119798 0.0581495i
\(495\) −4.75506 11.5258i −0.213724 0.518045i
\(496\) −2.60875 41.8514i −0.117136 1.87918i
\(497\) 2.12934 + 4.23987i 0.0955141 + 0.190184i
\(498\) 9.59802 16.9193i 0.430098 0.758174i
\(499\) −6.39767 14.8315i −0.286399 0.663947i 0.712905 0.701261i \(-0.247379\pi\)
−0.999304 + 0.0373137i \(0.988120\pi\)
\(500\) −24.1328 + 2.16091i −1.07925 + 0.0966388i
\(501\) 9.65655 2.50506i 0.431423 0.111918i
\(502\) 34.7847 + 18.0628i 1.55252 + 0.806180i
\(503\) −24.0216 + 20.1565i −1.07107 + 0.898736i −0.995149 0.0983777i \(-0.968635\pi\)
−0.0759227 + 0.997114i \(0.524190\pi\)
\(504\) 8.03960 8.54958i 0.358112 0.380829i
\(505\) 6.20751 + 5.20872i 0.276231 + 0.231785i
\(506\) 0.941458 + 2.26635i 0.0418529 + 0.100751i
\(507\) 34.6693 18.3380i 1.53972 0.814420i
\(508\) 2.45721 9.24575i 0.109021 0.410214i
\(509\) 3.66748 + 3.88731i 0.162558 + 0.172302i 0.803533 0.595260i \(-0.202951\pi\)
−0.640975 + 0.767562i \(0.721470\pi\)
\(510\) 17.5519 2.18658i 0.777209 0.0968235i
\(511\) −10.3830 4.47879i −0.459317 0.198130i
\(512\) −20.8247 + 8.85046i −0.920332 + 0.391139i
\(513\) 0.202138 1.81025i 0.00892459 0.0799243i
\(514\) −20.5594 28.4104i −0.906836 1.25313i
\(515\) 4.08210 + 34.9246i 0.179879 + 1.53896i
\(516\) −3.34870 1.70677i −0.147418 0.0751363i
\(517\) 1.58516 + 6.68830i 0.0697151 + 0.294151i
\(518\) −14.4348 + 2.34441i −0.634231 + 0.103007i
\(519\) −15.6273 + 2.16184i −0.685961 + 0.0948944i
\(520\) −32.4428 + 2.46319i −1.42271 + 0.108018i
\(521\) −8.17501 1.44147i −0.358154 0.0631522i −0.00832369 0.999965i \(-0.502650\pi\)
−0.349830 + 0.936813i \(0.613761\pi\)
\(522\) 27.6119 5.69006i 1.20854 0.249047i
\(523\) −6.13853 34.8133i −0.268419 1.52228i −0.759119 0.650952i \(-0.774370\pi\)
0.490700 0.871329i \(-0.336741\pi\)
\(524\) −34.2189 + 5.08358i −1.49486 + 0.222077i
\(525\) 3.07482 0.244308i 0.134196 0.0106625i
\(526\) −5.63591 3.35634i −0.245738 0.146343i
\(527\) −23.4609 + 31.5135i −1.02197 + 1.37275i
\(528\) 0.492949 14.9361i 0.0214529 0.650008i
\(529\) 1.29970 22.3150i 0.0565086 0.970216i
\(530\) 24.3071 6.92026i 1.05583 0.300597i
\(531\) 14.6570 7.07044i 0.636059 0.306831i
\(532\) 0.969204 0.0301777i 0.0420203 0.00130837i
\(533\) 40.7619 + 9.66075i 1.76559 + 0.418454i
\(534\) 4.21334 + 4.39856i 0.182329 + 0.190344i
\(535\) 21.8097 1.27027i 0.942918 0.0549187i
\(536\) −10.8922 18.1215i −0.470470 0.782731i
\(537\) −5.10320 13.1503i −0.220219 0.567479i
\(538\) 2.78145 + 12.4861i 0.119917 + 0.538313i
\(539\) 9.50278 5.48643i 0.409314 0.236317i
\(540\) −9.37618 + 17.6926i −0.403487 + 0.761368i
\(541\) −10.7547 6.20920i −0.462379 0.266955i 0.250665 0.968074i \(-0.419351\pi\)
−0.713044 + 0.701119i \(0.752684\pi\)
\(542\) −6.46616 + 20.5811i −0.277745 + 0.884036i
\(543\) 17.1515 10.3912i 0.736040 0.445929i
\(544\) 20.2511 + 6.27192i 0.868260 + 0.268906i
\(545\) 3.70043 7.36817i 0.158509 0.315618i
\(546\) 20.1826 1.32917i 0.863736 0.0568833i
\(547\) 9.25192 + 30.9036i 0.395583 + 1.32134i 0.891520 + 0.452982i \(0.149640\pi\)
−0.495936 + 0.868359i \(0.665175\pi\)
\(548\) −13.6416 + 25.4239i −0.582742 + 1.08606i
\(549\) 41.0845 + 15.7004i 1.75344 + 0.670076i
\(550\) 2.73377 2.82022i 0.116569 0.120255i
\(551\) 1.94616 + 1.28001i 0.0829091 + 0.0545302i
\(552\) 1.83705 3.48693i 0.0781900 0.148413i
\(553\) 8.48831 + 0.992142i 0.360960 + 0.0421902i
\(554\) −22.2840 39.8317i −0.946757 1.69228i
\(555\) 22.6968 10.3641i 0.963427 0.439930i
\(556\) −15.7751 + 12.5257i −0.669014 + 0.531207i
\(557\) 22.7206 + 8.26964i 0.962704 + 0.350396i 0.775093 0.631848i \(-0.217703\pi\)
0.187612 + 0.982243i \(0.439925\pi\)
\(558\) −13.9731 42.2243i −0.591531 1.78750i
\(559\) −2.21553 6.08711i −0.0937068 0.257457i
\(560\) −10.0314 3.60491i −0.423905 0.152335i
\(561\) −9.39132 + 10.3849i −0.396502 + 0.438451i
\(562\) 14.9591 12.2112i 0.631010 0.515099i
\(563\) 27.2108 + 8.14638i 1.14680 + 0.343329i 0.803155 0.595771i \(-0.203153\pi\)
0.343645 + 0.939100i \(0.388338\pi\)
\(564\) 6.64441 8.81517i 0.279780 0.371185i
\(565\) −25.6816 + 19.1193i −1.08043 + 0.804353i
\(566\) 0.348502 + 3.37716i 0.0146486 + 0.141953i
\(567\) 5.93865 10.9398i 0.249400 0.459428i
\(568\) −2.94591 9.24461i −0.123608 0.387895i
\(569\) −25.2805 + 18.8207i −1.05982 + 0.789003i −0.978201 0.207661i \(-0.933415\pi\)
−0.0816142 + 0.996664i \(0.526008\pi\)
\(570\) −1.58129 + 0.486506i −0.0662329 + 0.0203775i
\(571\) −7.77185 + 25.9598i −0.325242 + 1.08638i 0.626484 + 0.779434i \(0.284493\pi\)
−0.951726 + 0.306949i \(0.900692\pi\)
\(572\) 18.1749 18.2492i 0.759932 0.763035i
\(573\) −7.84863 1.68601i −0.327881 0.0704341i
\(574\) 10.8968 + 8.34377i 0.454823 + 0.348262i
\(575\) 0.973397 0.354288i 0.0405935 0.0147748i
\(576\) −18.9716 + 14.6996i −0.790483 + 0.612484i
\(577\) 10.5202 + 3.82904i 0.437962 + 0.159405i 0.551585 0.834119i \(-0.314023\pi\)
−0.113623 + 0.993524i \(0.536246\pi\)
\(578\) 2.24884 + 3.52204i 0.0935393 + 0.146498i
\(579\) 41.0492 + 3.92160i 1.70595 + 0.162976i
\(580\) −14.7300 20.9456i −0.611629 0.869719i
\(581\) 10.9092 + 1.27511i 0.452591 + 0.0529003i
\(582\) 2.39822 + 0.404140i 0.0994094 + 0.0167522i
\(583\) −10.9936 + 16.7150i −0.455309 + 0.692263i
\(584\) 19.5410 + 12.3652i 0.808612 + 0.511675i
\(585\) −32.6128 + 11.2841i −1.34837 + 0.466540i
\(586\) 12.3777 18.2760i 0.511316 0.754976i
\(587\) 18.6928 5.59624i 0.771533 0.230982i 0.123244 0.992376i \(-0.460670\pi\)
0.648289 + 0.761395i \(0.275485\pi\)
\(588\) −16.5233 6.12540i −0.681410 0.252607i
\(589\) 1.64927 3.28396i 0.0679569 0.135313i
\(590\) −11.1932 9.65314i −0.460815 0.397414i
\(591\) 13.0121 23.6782i 0.535245 0.973991i
\(592\) 29.9060 0.121881i 1.22913 0.00500927i
\(593\) 31.4683 + 18.1682i 1.29225 + 0.746080i 0.979052 0.203608i \(-0.0652670\pi\)
0.313196 + 0.949688i \(0.398600\pi\)
\(594\) −3.52616 15.4535i −0.144680 0.634065i
\(595\) 4.99356 + 8.64910i 0.204716 + 0.354579i
\(596\) 11.6253 3.87851i 0.476191 0.158870i
\(597\) 13.6554 + 2.11164i 0.558877 + 0.0864236i
\(598\) 6.41379 2.23666i 0.262279 0.0914639i
\(599\) −0.956212 16.4175i −0.0390698 0.670802i −0.959814 0.280636i \(-0.909455\pi\)
0.920745 0.390166i \(-0.127582\pi\)
\(600\) −6.28886 0.489276i −0.256741 0.0199746i
\(601\) 3.90803 + 0.926219i 0.159412 + 0.0377813i 0.309547 0.950884i \(-0.399823\pi\)
−0.150135 + 0.988666i \(0.547971\pi\)
\(602\) 0.152042 2.11679i 0.00619675 0.0862741i
\(603\) −16.0642 15.6477i −0.654183 0.637224i
\(604\) −1.44546 + 0.577659i −0.0588151 + 0.0235046i
\(605\) −0.711098 + 12.2091i −0.0289103 + 0.496370i
\(606\) 6.68150 + 7.84115i 0.271418 + 0.318525i
\(607\) −25.3561 18.8769i −1.02917 0.766189i −0.0565055 0.998402i \(-0.517996\pi\)
−0.972665 + 0.232213i \(0.925403\pi\)
\(608\) −1.96732 0.248814i −0.0797855 0.0100907i
\(609\) 9.02612 + 13.1121i 0.365757 + 0.531327i
\(610\) −1.78319 39.9086i −0.0721991 1.61585i
\(611\) 18.7360 3.30366i 0.757976 0.133652i
\(612\) 22.4653 + 0.966794i 0.908107 + 0.0390803i
\(613\) 13.3006 + 2.34526i 0.537207 + 0.0947242i 0.435668 0.900107i \(-0.356512\pi\)
0.101539 + 0.994832i \(0.467623\pi\)
\(614\) 2.70883 20.7388i 0.109319 0.836951i
\(615\) −21.6922 8.81878i −0.874713 0.355608i
\(616\) 7.87721 3.02511i 0.317382 0.121885i
\(617\) −3.05071 12.8719i −0.122817 0.518205i −0.999322 0.0368129i \(-0.988279\pi\)
0.876505 0.481392i \(-0.159869\pi\)
\(618\) −2.26064 + 44.6447i −0.0909362 + 1.79587i
\(619\) 40.5059 4.73447i 1.62807 0.190294i 0.747518 0.664242i \(-0.231245\pi\)
0.880553 + 0.473947i \(0.157171\pi\)
\(620\) −30.1229 + 26.9173i −1.20976 + 1.08102i
\(621\) 0.943076 4.07255i 0.0378443 0.163426i
\(622\) 12.2606 + 5.48656i 0.491605 + 0.219991i
\(623\) −1.36220 + 3.15793i −0.0545752 + 0.126520i
\(624\) −41.1914 3.76584i −1.64897 0.150754i
\(625\) 11.6004 + 12.2957i 0.464014 + 0.491826i
\(626\) 0.798917 2.10594i 0.0319311 0.0841701i
\(627\) 0.696413 1.10915i 0.0278121 0.0442953i
\(628\) 15.9170 8.62430i 0.635159 0.344147i
\(629\) −21.4644 18.0108i −0.855843 0.718137i
\(630\) −11.2627 0.989830i −0.448717 0.0394358i
\(631\) −17.7129 21.1094i −0.705138 0.840351i 0.287960 0.957643i \(-0.407023\pi\)
−0.993097 + 0.117292i \(0.962579\pi\)
\(632\) −16.8283 4.71698i −0.669394 0.187631i
\(633\) 8.11539 29.3484i 0.322558 1.16649i
\(634\) −0.474577 + 35.0853i −0.0188479 + 1.39342i
\(635\) −8.46263 + 3.65042i −0.335829 + 0.144863i
\(636\) 31.9339 3.54036i 1.26626 0.140384i
\(637\) −13.6305 27.1406i −0.540062 1.07535i
\(638\) 19.6588 + 4.94097i 0.778298 + 0.195615i
\(639\) −5.51719 8.68732i −0.218257 0.343665i
\(640\) 19.1101 + 10.4877i 0.755395 + 0.414562i
\(641\) −3.40042 3.20813i −0.134309 0.126714i 0.616156 0.787624i \(-0.288689\pi\)
−0.750465 + 0.660910i \(0.770170\pi\)
\(642\) 27.6095 + 3.01501i 1.08966 + 0.118993i
\(643\) −27.4627 + 18.0625i −1.08302 + 0.712315i −0.959975 0.280086i \(-0.909637\pi\)
−0.123047 + 0.992401i \(0.539267\pi\)
\(644\) 2.21731 + 0.189438i 0.0873744 + 0.00746490i
\(645\) 0.703901 + 3.55186i 0.0277161 + 0.139854i
\(646\) 1.25658 + 1.36852i 0.0494396 + 0.0538436i
\(647\) −17.0302 −0.669524 −0.334762 0.942303i \(-0.608656\pi\)
−0.334762 + 0.942303i \(0.608656\pi\)
\(648\) −15.4919 + 20.1991i −0.608578 + 0.793494i
\(649\) 11.7005 0.459285
\(650\) −7.35275 8.00773i −0.288399 0.314089i
\(651\) 18.8928 16.5449i 0.740466 0.648447i
\(652\) −1.73549 + 20.3134i −0.0679670 + 0.795534i
\(653\) −4.24743 + 2.79358i −0.166215 + 0.109321i −0.629891 0.776684i \(-0.716900\pi\)
0.463676 + 0.886005i \(0.346530\pi\)
\(654\) 6.19552 8.45517i 0.242264 0.330623i
\(655\) 24.2417 + 22.8708i 0.947200 + 0.893637i
\(656\) −19.3435 20.3362i −0.755236 0.793995i
\(657\) 23.3817 + 7.40856i 0.912208 + 0.289036i
\(658\) 6.04497 + 1.51932i 0.235657 + 0.0592293i
\(659\) 17.3144 + 34.4758i 0.674473 + 1.34299i 0.926877 + 0.375365i \(0.122483\pi\)
−0.252404 + 0.967622i \(0.581221\pi\)
\(660\) −11.5990 + 8.52850i −0.451490 + 0.331972i
\(661\) −41.4933 + 17.8984i −1.61390 + 0.696169i −0.995938 0.0900386i \(-0.971301\pi\)
−0.617963 + 0.786208i \(0.712042\pi\)
\(662\) −0.0531221 + 3.92729i −0.00206465 + 0.152639i
\(663\) 27.1837 + 27.6210i 1.05573 + 1.07271i
\(664\) −21.6278 6.06229i −0.839323 0.235263i
\(665\) −0.600470 0.715612i −0.0232852 0.0277502i
\(666\) 30.6428 8.19776i 1.18738 0.317657i
\(667\) 4.09518 + 3.43626i 0.158566 + 0.133053i
\(668\) −5.48781 10.1283i −0.212330 0.391877i
\(669\) −40.6564 1.50772i −1.57187 0.0582918i
\(670\) −7.22479 + 19.0445i −0.279118 + 0.735752i
\(671\) 21.7012 + 23.0020i 0.837767 + 0.887981i
\(672\) −11.8141 6.63840i −0.455738 0.256082i
\(673\) −1.48651 + 3.44611i −0.0573006 + 0.132838i −0.944461 0.328623i \(-0.893415\pi\)
0.887160 + 0.461461i \(0.152675\pi\)
\(674\) −4.47922 2.00443i −0.172533 0.0772077i
\(675\) −6.58278 + 1.19573i −0.253371 + 0.0460236i
\(676\) −30.1761 33.7698i −1.16062 1.29884i
\(677\) −29.6255 + 3.46273i −1.13860 + 0.133083i −0.664431 0.747350i \(-0.731326\pi\)
−0.474170 + 0.880433i \(0.657252\pi\)
\(678\) −36.2341 + 18.5429i −1.39156 + 0.712137i
\(679\) 0.316688 + 1.33621i 0.0121534 + 0.0512791i
\(680\) −7.32205 19.0662i −0.280788 0.731155i
\(681\) −32.3558 + 25.1667i −1.23988 + 0.964390i
\(682\) 4.14173 31.7092i 0.158595 1.21421i
\(683\) 32.5075 + 5.73195i 1.24386 + 0.219327i 0.756571 0.653911i \(-0.226873\pi\)
0.487294 + 0.873238i \(0.337984\pi\)
\(684\) −2.08512 + 0.275837i −0.0797265 + 0.0105469i
\(685\) 27.3737 4.82672i 1.04590 0.184420i
\(686\) −1.05532 23.6185i −0.0402922 0.901758i
\(687\) −2.94611 + 6.18857i −0.112401 + 0.236109i
\(688\) −0.983660 + 4.22708i −0.0375017 + 0.161156i
\(689\) 44.4169 + 33.0671i 1.69215 + 1.25976i
\(690\) −3.73413 + 0.687670i −0.142156 + 0.0261792i
\(691\) 1.21877 20.9254i 0.0463640 0.796040i −0.892350 0.451344i \(-0.850945\pi\)
0.938714 0.344696i \(-0.112018\pi\)
\(692\) 6.76019 + 16.9159i 0.256984 + 0.643045i
\(693\) 7.26335 5.22932i 0.275912 0.198645i
\(694\) −0.629681 + 8.76671i −0.0239023 + 0.332780i
\(695\) 18.8825 + 4.47523i 0.716253 + 0.169755i
\(696\) −14.0409 29.3697i −0.532220 1.11326i
\(697\) 1.52899 + 26.2517i 0.0579145 + 0.994353i
\(698\) −20.3215 + 7.08666i −0.769181 + 0.268234i
\(699\) −0.220693 + 0.274580i −0.00834738 + 0.0103856i
\(700\) −1.12720 3.37861i −0.0426040 0.127699i
\(701\) −5.28554 9.15483i −0.199632 0.345773i 0.748777 0.662822i \(-0.230641\pi\)
−0.948409 + 0.317049i \(0.897308\pi\)
\(702\) −43.2680 + 7.25633i −1.63305 + 0.273872i
\(703\) 2.26976 + 1.31044i 0.0856055 + 0.0494243i
\(704\) −16.8779 + 3.59272i −0.636110 + 0.135406i
\(705\) −10.6322 + 0.224481i −0.400432 + 0.00845446i
\(706\) −9.24433 7.97244i −0.347915 0.300047i
\(707\) −2.61058 + 5.19808i −0.0981808 + 0.195494i
\(708\) −11.9927 14.4660i −0.450714 0.543667i
\(709\) 13.8827 4.15621i 0.521376 0.156090i −0.0152922 0.999883i \(-0.504868\pi\)
0.536668 + 0.843793i \(0.319683\pi\)
\(710\) −5.24161 + 7.73941i −0.196714 + 0.290455i
\(711\) −18.5347 0.295788i −0.695105 0.0110929i
\(712\) 3.76079 5.94327i 0.140942 0.222733i
\(713\) 4.63442 7.04629i 0.173560 0.263885i
\(714\) 4.43286 + 11.8976i 0.165896 + 0.445258i
\(715\) −24.6448 2.88057i −0.921665 0.107727i
\(716\) −13.3233 + 9.36958i −0.497915 + 0.350158i
\(717\) −0.954886 + 1.34082i −0.0356609 + 0.0500739i
\(718\) −11.8012 18.4826i −0.440416 0.689763i
\(719\) 47.4951 + 17.2868i 1.77127 + 0.644689i 0.999966 + 0.00821951i \(0.00261638\pi\)
0.771302 + 0.636469i \(0.219606\pi\)
\(720\) 22.4330 + 5.59904i 0.836028 + 0.208664i
\(721\) −23.7184 + 8.63278i −0.883318 + 0.321502i
\(722\) 21.1961 + 16.2301i 0.788838 + 0.604021i
\(723\) 13.6334 + 42.2698i 0.507031 + 1.57203i
\(724\) −16.4071 16.3404i −0.609765 0.607285i
\(725\) 2.45387 8.19650i 0.0911345 0.304410i
\(726\) −3.47070 + 15.1554i −0.128810 + 0.562468i
\(727\) 9.52042 7.08769i 0.353093 0.262868i −0.405968 0.913887i \(-0.633066\pi\)
0.759061 + 0.651019i \(0.225658\pi\)
\(728\) −7.09114 22.2528i −0.262815 0.824745i
\(729\) −10.4381 + 24.9007i −0.386596 + 0.922249i
\(730\) −2.28679 22.1601i −0.0846378 0.820184i
\(731\) 3.26165 2.42821i 0.120636 0.0898104i
\(732\) 6.19550 50.4070i 0.228992 1.86310i
\(733\) −27.8679 8.34312i −1.02933 0.308160i −0.272763 0.962081i \(-0.587938\pi\)
−0.756563 + 0.653921i \(0.773123\pi\)
\(734\) −24.4715 + 19.9763i −0.903261 + 0.737339i
\(735\) 5.21123 + 16.1572i 0.192219 + 0.595969i
\(736\) −4.41817 1.09132i −0.162856 0.0402267i
\(737\) −5.51476 15.1517i −0.203139 0.558119i
\(738\) −25.3308 15.6380i −0.932439 0.575644i
\(739\) −1.07133 0.389931i −0.0394094 0.0143439i 0.322240 0.946658i \(-0.395564\pi\)
−0.361650 + 0.932314i \(0.617786\pi\)
\(740\) −17.9157 22.5634i −0.658594 0.829448i
\(741\) −2.95269 2.10280i −0.108470 0.0772484i
\(742\) 8.85752 + 15.8324i 0.325170 + 0.581226i
\(743\) 27.7108 + 3.23893i 1.01661 + 0.118825i 0.608044 0.793903i \(-0.291954\pi\)
0.408568 + 0.912728i \(0.366028\pi\)
\(744\) −43.4492 + 27.3805i −1.59292 + 1.00382i
\(745\) −9.86415 6.48775i −0.361394 0.237693i
\(746\) −8.94157 + 9.22431i −0.327374 + 0.337726i
\(747\) −23.8209 0.380149i −0.871561 0.0139089i
\(748\) 14.2463 + 7.64413i 0.520898 + 0.279497i
\(749\) 4.49770 + 15.0234i 0.164342 + 0.548942i
\(750\) 16.4941 + 24.6685i 0.602281 + 0.900768i
\(751\) −17.6011 + 35.0467i −0.642275 + 1.27887i 0.303122 + 0.952952i \(0.401971\pi\)
−0.945397 + 0.325922i \(0.894325\pi\)
\(752\) −11.7245 5.00090i −0.427550 0.182364i
\(753\) −1.01329 47.9930i −0.0369264 1.74896i
\(754\) 16.8165 53.5251i 0.612420 1.94927i
\(755\) 1.29871 + 0.749808i 0.0472647 + 0.0272883i
\(756\) −13.9101 3.62019i −0.505904 0.131665i
\(757\) 33.2352 19.1884i 1.20796 0.697413i 0.245643 0.969360i \(-0.421001\pi\)
0.962312 + 0.271947i \(0.0876676\pi\)
\(758\) −1.65444 7.42688i −0.0600920 0.269757i
\(759\) 1.88297 2.34274i 0.0683475 0.0850360i
\(760\) 0.984160 + 1.63737i 0.0356993 + 0.0593937i
\(761\) 49.3182 2.87246i 1.78778 0.104127i 0.868004 0.496558i \(-0.165403\pi\)
0.919781 + 0.392431i \(0.128366\pi\)
\(762\) −11.3801 + 2.78847i −0.412258 + 0.101015i
\(763\) 5.75909 + 1.36493i 0.208493 + 0.0494138i
\(764\) 0.288483 + 9.26507i 0.0104369 + 0.335198i
\(765\) −12.6572 17.5804i −0.457621 0.635620i
\(766\) 29.8170 8.48893i 1.07733 0.306717i
\(767\) 1.88303 32.3303i 0.0679922 1.16738i
\(768\) 21.7413 + 17.1847i 0.784522 + 0.620100i
\(769\) −32.0679 + 43.0746i −1.15640 + 1.55331i −0.377678 + 0.925937i \(0.623277\pi\)
−0.778719 + 0.627373i \(0.784130\pi\)
\(770\) −6.98441 4.15941i −0.251701 0.149895i
\(771\) −18.4617 + 38.7804i −0.664882 + 1.39664i
\(772\) −6.99697 47.0985i −0.251827 1.69511i