Properties

Label 57.2.j.b.14.3
Level 57
Weight 2
Character 57.14
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 14.3
Character \(\chi\) = 57.14
Dual form 57.2.j.b.53.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.886259 - 0.322572i) q^{2} +(-0.292097 - 1.70724i) q^{3} +(-0.850687 + 0.713811i) q^{4} +(0.485824 - 0.578982i) q^{5} +(-0.809582 - 1.41884i) q^{6} +(1.38278 + 2.39504i) q^{7} +(-1.46681 + 2.54059i) q^{8} +(-2.82936 + 0.997362i) q^{9} +O(q^{10})\) \(q+(0.886259 - 0.322572i) q^{2} +(-0.292097 - 1.70724i) q^{3} +(-0.850687 + 0.713811i) q^{4} +(0.485824 - 0.578982i) q^{5} +(-0.809582 - 1.41884i) q^{6} +(1.38278 + 2.39504i) q^{7} +(-1.46681 + 2.54059i) q^{8} +(-2.82936 + 0.997362i) q^{9} +(0.243802 - 0.669841i) q^{10} +(-2.28018 - 1.31646i) q^{11} +(1.46713 + 1.24383i) q^{12} +(1.90254 - 0.335470i) q^{13} +(1.99807 + 1.67658i) q^{14} +(-1.13037 - 0.660300i) q^{15} +(-0.0947805 + 0.537527i) q^{16} +(0.220652 + 0.606237i) q^{17} +(-2.18582 + 1.79659i) q^{18} +(-1.94082 - 3.90298i) q^{19} +0.839319i q^{20} +(3.68501 - 3.06032i) q^{21} +(-2.44549 - 0.431205i) q^{22} +(-5.61638 - 6.69334i) q^{23} +(4.76586 + 1.76210i) q^{24} +(0.769045 + 4.36147i) q^{25} +(1.57793 - 0.911019i) q^{26} +(2.52919 + 4.53908i) q^{27} +(-2.88591 - 1.05039i) q^{28} +(8.33804 + 3.03480i) q^{29} +(-1.21480 - 0.220571i) q^{30} +(2.10245 - 1.21385i) q^{31} +(-0.929445 - 5.27114i) q^{32} +(-1.58149 + 4.27736i) q^{33} +(0.391110 + 0.466106i) q^{34} +(2.05847 + 0.362964i) q^{35} +(1.69497 - 2.86807i) q^{36} -6.09943i q^{37} +(-2.97906 - 2.83300i) q^{38} +(-1.12846 - 3.15011i) q^{39} +(0.758345 + 2.08354i) q^{40} +(-0.930968 + 5.27978i) q^{41} +(2.27870 - 3.90091i) q^{42} +(-1.12968 - 0.947914i) q^{43} +(2.87943 - 0.507721i) q^{44} +(-0.797115 + 2.12269i) q^{45} +(-7.13664 - 4.12034i) q^{46} +(-3.48030 + 9.56204i) q^{47} +(0.945374 + 0.00480320i) q^{48} +(-0.324139 + 0.561425i) q^{49} +(2.08846 + 3.61732i) q^{50} +(0.970541 - 0.553787i) q^{51} +(-1.37901 + 1.64344i) q^{52} +(-4.16382 + 3.49386i) q^{53} +(3.70569 + 3.20695i) q^{54} +(-1.86998 + 0.680616i) q^{55} -8.11308 q^{56} +(-6.09642 + 4.45349i) q^{57} +8.36860 q^{58} +(7.06560 - 2.57167i) q^{59} +(1.43292 - 0.245163i) q^{60} +(-1.37444 + 1.15329i) q^{61} +(1.47176 - 1.75398i) q^{62} +(-6.30109 - 5.39729i) q^{63} +(-3.06987 - 5.31717i) q^{64} +(0.730070 - 1.26452i) q^{65} +(-0.0218522 + 4.30099i) q^{66} +(-3.35090 + 9.20653i) q^{67} +(-0.620444 - 0.358214i) q^{68} +(-9.78662 + 11.5436i) q^{69} +(1.94142 - 0.342325i) q^{70} +(-2.08521 - 1.74970i) q^{71} +(1.61624 - 8.65118i) q^{72} +(0.952144 - 5.39988i) q^{73} +(-1.96750 - 5.40567i) q^{74} +(7.22146 - 2.58692i) q^{75} +(4.43702 + 1.93484i) q^{76} -7.28150i q^{77} +(-2.01624 - 2.42781i) q^{78} +(9.22088 + 1.62589i) q^{79} +(0.265172 + 0.316020i) q^{80} +(7.01054 - 5.64379i) q^{81} +(0.878031 + 4.97956i) q^{82} +(7.02840 - 4.05785i) q^{83} +(-0.950298 + 5.23377i) q^{84} +(0.458198 + 0.166771i) q^{85} +(-1.30696 - 0.475694i) q^{86} +(2.74562 - 15.1215i) q^{87} +(6.68919 - 3.86200i) q^{88} +(0.233188 + 1.32248i) q^{89} +(-0.0217297 + 2.13838i) q^{90} +(3.43425 + 4.09278i) q^{91} +(9.55556 + 1.68490i) q^{92} +(-2.68646 - 3.23483i) q^{93} +9.59708i q^{94} +(-3.20265 - 0.772462i) q^{95} +(-8.72763 + 3.12647i) q^{96} +(4.64863 + 12.7720i) q^{97} +(-0.106171 + 0.602125i) q^{98} +(7.76444 + 1.45058i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.886259 0.322572i 0.626679 0.228093i −0.00910593 0.999959i \(-0.502899\pi\)
0.635785 + 0.771866i \(0.280676\pi\)
\(3\) −0.292097 1.70724i −0.168642 0.985677i
\(4\) −0.850687 + 0.713811i −0.425344 + 0.356906i
\(5\) 0.485824 0.578982i 0.217267 0.258929i −0.646392 0.763006i \(-0.723723\pi\)
0.863659 + 0.504077i \(0.168167\pi\)
\(6\) −0.809582 1.41884i −0.330511 0.579238i
\(7\) 1.38278 + 2.39504i 0.522640 + 0.905239i 0.999653 + 0.0263430i \(0.00838621\pi\)
−0.477013 + 0.878896i \(0.658280\pi\)
\(8\) −1.46681 + 2.54059i −0.518596 + 0.898234i
\(9\) −2.82936 + 0.997362i −0.943119 + 0.332454i
\(10\) 0.243802 0.669841i 0.0770971 0.211822i
\(11\) −2.28018 1.31646i −0.687501 0.396929i 0.115174 0.993345i \(-0.463257\pi\)
−0.802675 + 0.596417i \(0.796591\pi\)
\(12\) 1.46713 + 1.24383i 0.423525 + 0.359062i
\(13\) 1.90254 0.335470i 0.527670 0.0930425i 0.0965347 0.995330i \(-0.469224\pi\)
0.431136 + 0.902287i \(0.358113\pi\)
\(14\) 1.99807 + 1.67658i 0.534006 + 0.448085i
\(15\) −1.13037 0.660300i −0.291861 0.170489i
\(16\) −0.0947805 + 0.537527i −0.0236951 + 0.134382i
\(17\) 0.220652 + 0.606237i 0.0535160 + 0.147034i 0.963570 0.267455i \(-0.0861826\pi\)
−0.910054 + 0.414489i \(0.863960\pi\)
\(18\) −2.18582 + 1.79659i −0.515203 + 0.423461i
\(19\) −1.94082 3.90298i −0.445254 0.895404i
\(20\) 0.839319i 0.187678i
\(21\) 3.68501 3.06032i 0.804135 0.667816i
\(22\) −2.44549 0.431205i −0.521379 0.0919332i
\(23\) −5.61638 6.69334i −1.17110 1.39566i −0.901553 0.432668i \(-0.857572\pi\)
−0.269542 0.962989i \(-0.586872\pi\)
\(24\) 4.76586 + 1.76210i 0.972826 + 0.359688i
\(25\) 0.769045 + 4.36147i 0.153809 + 0.872294i
\(26\) 1.57793 0.911019i 0.309458 0.178666i
\(27\) 2.52919 + 4.53908i 0.486742 + 0.873546i
\(28\) −2.88591 1.05039i −0.545387 0.198504i
\(29\) 8.33804 + 3.03480i 1.54834 + 0.563548i 0.968026 0.250849i \(-0.0807096\pi\)
0.580309 + 0.814397i \(0.302932\pi\)
\(30\) −1.21480 0.220571i −0.221790 0.0402706i
\(31\) 2.10245 1.21385i 0.377611 0.218014i −0.299167 0.954201i \(-0.596709\pi\)
0.676778 + 0.736187i \(0.263375\pi\)
\(32\) −0.929445 5.27114i −0.164304 0.931815i
\(33\) −1.58149 + 4.27736i −0.275302 + 0.744593i
\(34\) 0.391110 + 0.466106i 0.0670747 + 0.0799366i
\(35\) 2.05847 + 0.362964i 0.347945 + 0.0613521i
\(36\) 1.69497 2.86807i 0.282495 0.478012i
\(37\) 6.09943i 1.00274i −0.865233 0.501370i \(-0.832829\pi\)
0.865233 0.501370i \(-0.167171\pi\)
\(38\) −2.97906 2.83300i −0.483267 0.459573i
\(39\) −1.12846 3.15011i −0.180698 0.504422i
\(40\) 0.758345 + 2.08354i 0.119905 + 0.329436i
\(41\) −0.930968 + 5.27978i −0.145393 + 0.824564i 0.821658 + 0.569981i \(0.193049\pi\)
−0.967051 + 0.254583i \(0.918062\pi\)
\(42\) 2.27870 3.90091i 0.351611 0.601924i
\(43\) −1.12968 0.947914i −0.172275 0.144556i 0.552574 0.833464i \(-0.313646\pi\)
−0.724848 + 0.688908i \(0.758090\pi\)
\(44\) 2.87943 0.507721i 0.434090 0.0765418i
\(45\) −0.797115 + 2.12269i −0.118827 + 0.316432i
\(46\) −7.13664 4.12034i −1.05224 0.607511i
\(47\) −3.48030 + 9.56204i −0.507653 + 1.39477i 0.375998 + 0.926621i \(0.377300\pi\)
−0.883651 + 0.468146i \(0.844922\pi\)
\(48\) 0.945374 + 0.00480320i 0.136453 + 0.000693282i
\(49\) −0.324139 + 0.561425i −0.0463055 + 0.0802035i
\(50\) 2.08846 + 3.61732i 0.295353 + 0.511566i
\(51\) 0.970541 0.553787i 0.135903 0.0775457i
\(52\) −1.37901 + 1.64344i −0.191234 + 0.227904i
\(53\) −4.16382 + 3.49386i −0.571945 + 0.479919i −0.882291 0.470705i \(-0.844000\pi\)
0.310346 + 0.950624i \(0.399555\pi\)
\(54\) 3.70569 + 3.20695i 0.504281 + 0.436411i
\(55\) −1.86998 + 0.680616i −0.252148 + 0.0917742i
\(56\) −8.11308 −1.08416
\(57\) −6.09642 + 4.45349i −0.807491 + 0.589880i
\(58\) 8.36860 1.09885
\(59\) 7.06560 2.57167i 0.919863 0.334803i 0.161679 0.986843i \(-0.448309\pi\)
0.758184 + 0.652041i \(0.226087\pi\)
\(60\) 1.43292 0.245163i 0.184989 0.0316504i
\(61\) −1.37444 + 1.15329i −0.175979 + 0.147664i −0.726523 0.687142i \(-0.758865\pi\)
0.550544 + 0.834806i \(0.314420\pi\)
\(62\) 1.47176 1.75398i 0.186914 0.222755i
\(63\) −6.30109 5.39729i −0.793863 0.679995i
\(64\) −3.06987 5.31717i −0.383734 0.664646i
\(65\) 0.730070 1.26452i 0.0905540 0.156844i
\(66\) −0.0218522 + 4.30099i −0.00268982 + 0.529415i
\(67\) −3.35090 + 9.20653i −0.409378 + 1.12476i 0.548141 + 0.836386i \(0.315336\pi\)
−0.957519 + 0.288371i \(0.906886\pi\)
\(68\) −0.620444 0.358214i −0.0752399 0.0434398i
\(69\) −9.78662 + 11.5436i −1.17817 + 1.38969i
\(70\) 1.94142 0.342325i 0.232044 0.0409156i
\(71\) −2.08521 1.74970i −0.247469 0.207651i 0.510613 0.859811i \(-0.329419\pi\)
−0.758082 + 0.652160i \(0.773863\pi\)
\(72\) 1.61624 8.65118i 0.190476 1.01955i
\(73\) 0.952144 5.39988i 0.111440 0.632008i −0.877011 0.480470i \(-0.840466\pi\)
0.988451 0.151538i \(-0.0484226\pi\)
\(74\) −1.96750 5.40567i −0.228718 0.628397i
\(75\) 7.22146 2.58692i 0.833862 0.298712i
\(76\) 4.43702 + 1.93484i 0.508961 + 0.221941i
\(77\) 7.28150i 0.829804i
\(78\) −2.01624 2.42781i −0.228294 0.274895i
\(79\) 9.22088 + 1.62589i 1.03743 + 0.182927i 0.666323 0.745663i \(-0.267867\pi\)
0.371107 + 0.928590i \(0.378978\pi\)
\(80\) 0.265172 + 0.316020i 0.0296471 + 0.0353321i
\(81\) 7.01054 5.64379i 0.778949 0.627088i
\(82\) 0.878031 + 4.97956i 0.0969622 + 0.549900i
\(83\) 7.02840 4.05785i 0.771467 0.445406i −0.0619310 0.998080i \(-0.519726\pi\)
0.833398 + 0.552674i \(0.186393\pi\)
\(84\) −0.950298 + 5.23377i −0.103686 + 0.571051i
\(85\) 0.458198 + 0.166771i 0.0496986 + 0.0180888i
\(86\) −1.30696 0.475694i −0.140933 0.0512954i
\(87\) 2.74562 15.1215i 0.294361 1.62120i
\(88\) 6.68919 3.86200i 0.713070 0.411691i
\(89\) 0.233188 + 1.32248i 0.0247179 + 0.140182i 0.994669 0.103117i \(-0.0328815\pi\)
−0.969951 + 0.243299i \(0.921770\pi\)
\(90\) −0.0217297 + 2.13838i −0.00229051 + 0.225405i
\(91\) 3.43425 + 4.09278i 0.360008 + 0.429040i
\(92\) 9.55556 + 1.68490i 0.996236 + 0.175663i
\(93\) −2.68646 3.23483i −0.278573 0.335436i
\(94\) 9.59708i 0.989863i
\(95\) −3.20265 0.772462i −0.328585 0.0792529i
\(96\) −8.72763 + 3.12647i −0.890760 + 0.319094i
\(97\) 4.64863 + 12.7720i 0.471997 + 1.29680i 0.916145 + 0.400847i \(0.131284\pi\)
−0.444148 + 0.895953i \(0.646494\pi\)
\(98\) −0.106171 + 0.602125i −0.0107249 + 0.0608239i
\(99\) 7.76444 + 1.45058i 0.780356 + 0.145789i
\(100\) −3.76748 3.16129i −0.376748 0.316129i
\(101\) −2.06421 + 0.363975i −0.205396 + 0.0362169i −0.275400 0.961330i \(-0.588810\pi\)
0.0700033 + 0.997547i \(0.477699\pi\)
\(102\) 0.681515 0.803868i 0.0674800 0.0795948i
\(103\) −10.4189 6.01535i −1.02660 0.592710i −0.110594 0.993866i \(-0.535275\pi\)
−0.916010 + 0.401155i \(0.868609\pi\)
\(104\) −1.93838 + 5.32565i −0.190074 + 0.522223i
\(105\) 0.0183940 3.62033i 0.00179507 0.353308i
\(106\) −2.56320 + 4.43960i −0.248960 + 0.431212i
\(107\) −3.41283 5.91119i −0.329930 0.571456i 0.652567 0.757731i \(-0.273692\pi\)
−0.982498 + 0.186275i \(0.940359\pi\)
\(108\) −5.39159 2.05597i −0.518806 0.197836i
\(109\) 7.55399 9.00250i 0.723541 0.862283i −0.271429 0.962459i \(-0.587496\pi\)
0.994970 + 0.100176i \(0.0319405\pi\)
\(110\) −1.43774 + 1.20640i −0.137083 + 0.115026i
\(111\) −10.4132 + 1.78163i −0.988379 + 0.169105i
\(112\) −1.41846 + 0.516276i −0.134032 + 0.0487835i
\(113\) 1.98486 0.186720 0.0933599 0.995632i \(-0.470239\pi\)
0.0933599 + 0.995632i \(0.470239\pi\)
\(114\) −3.96644 + 5.91348i −0.371491 + 0.553848i
\(115\) −6.60389 −0.615816
\(116\) −9.25934 + 3.37012i −0.859708 + 0.312908i
\(117\) −5.04839 + 2.84669i −0.466724 + 0.263176i
\(118\) 5.43240 4.55833i 0.500093 0.419628i
\(119\) −1.14685 + 1.36676i −0.105131 + 0.125291i
\(120\) 3.33559 1.90328i 0.304497 0.173744i
\(121\) −2.03385 3.52273i −0.184895 0.320248i
\(122\) −0.846091 + 1.46547i −0.0766015 + 0.132678i
\(123\) 9.28581 + 0.0471788i 0.837273 + 0.00425397i
\(124\) −0.922067 + 2.53336i −0.0828041 + 0.227502i
\(125\) 6.17158 + 3.56316i 0.552003 + 0.318699i
\(126\) −7.32541 2.75084i −0.652599 0.245065i
\(127\) −11.1687 + 1.96935i −0.991065 + 0.174751i −0.645596 0.763679i \(-0.723391\pi\)
−0.345468 + 0.938430i \(0.612280\pi\)
\(128\) 3.76458 + 3.15885i 0.332745 + 0.279206i
\(129\) −1.28834 + 2.20552i −0.113432 + 0.194185i
\(130\) 0.239133 1.35619i 0.0209733 0.118946i
\(131\) 6.23539 + 17.1316i 0.544789 + 1.49679i 0.840658 + 0.541566i \(0.182168\pi\)
−0.295869 + 0.955228i \(0.595609\pi\)
\(132\) −1.70788 4.76758i −0.148652 0.414965i
\(133\) 6.66407 10.0453i 0.577848 0.871035i
\(134\) 9.24028i 0.798238i
\(135\) 3.85679 + 0.740837i 0.331939 + 0.0637611i
\(136\) −1.86385 0.328648i −0.159824 0.0281813i
\(137\) −5.03788 6.00391i −0.430415 0.512949i 0.506627 0.862165i \(-0.330892\pi\)
−0.937042 + 0.349217i \(0.886448\pi\)
\(138\) −4.94983 + 13.3875i −0.421358 + 1.13962i
\(139\) −0.0146771 0.0832380i −0.00124490 0.00706015i 0.984179 0.177177i \(-0.0566966\pi\)
−0.985424 + 0.170117i \(0.945585\pi\)
\(140\) −2.01020 + 1.16059i −0.169893 + 0.0980878i
\(141\) 17.3413 + 3.14867i 1.46040 + 0.265166i
\(142\) −2.41244 0.878056i −0.202447 0.0736849i
\(143\) −4.77978 1.73970i −0.399705 0.145481i
\(144\) −0.267941 1.61539i −0.0223284 0.134615i
\(145\) 5.80791 3.35320i 0.482321 0.278468i
\(146\) −0.898002 5.09282i −0.0743192 0.421485i
\(147\) 1.05317 + 0.389393i 0.0868639 + 0.0321166i
\(148\) 4.35384 + 5.18871i 0.357884 + 0.426509i
\(149\) −11.7508 2.07199i −0.962664 0.169744i −0.329838 0.944038i \(-0.606994\pi\)
−0.632826 + 0.774294i \(0.718105\pi\)
\(150\) 5.56561 4.62212i 0.454430 0.377394i
\(151\) 2.63924i 0.214778i −0.994217 0.107389i \(-0.965751\pi\)
0.994217 0.107389i \(-0.0342491\pi\)
\(152\) 12.7627 + 0.794111i 1.03519 + 0.0644109i
\(153\) −1.22894 1.49519i −0.0993540 0.120879i
\(154\) −2.34881 6.45329i −0.189272 0.520021i
\(155\) 0.318623 1.80700i 0.0255924 0.145142i
\(156\) 3.20855 + 1.87426i 0.256890 + 0.150061i
\(157\) −10.0279 8.41440i −0.800313 0.671543i 0.147962 0.988993i \(-0.452729\pi\)
−0.948275 + 0.317451i \(0.897173\pi\)
\(158\) 8.69655 1.53344i 0.691861 0.121994i
\(159\) 7.18111 + 6.08811i 0.569499 + 0.482818i
\(160\) −3.50345 2.02272i −0.276972 0.159910i
\(161\) 8.26461 22.7068i 0.651342 1.78955i
\(162\) 4.39262 7.26326i 0.345117 0.570656i
\(163\) −10.9580 + 18.9799i −0.858299 + 1.48662i 0.0152513 + 0.999884i \(0.495145\pi\)
−0.873550 + 0.486734i \(0.838188\pi\)
\(164\) −2.97681 5.15598i −0.232450 0.402614i
\(165\) 1.70819 + 2.99370i 0.132983 + 0.233059i
\(166\) 4.92003 5.86346i 0.381868 0.455093i
\(167\) −0.977437 + 0.820167i −0.0756363 + 0.0634664i −0.679822 0.733377i \(-0.737943\pi\)
0.604186 + 0.796844i \(0.293499\pi\)
\(168\) 2.36981 + 13.8510i 0.182835 + 1.06863i
\(169\) −8.70887 + 3.16977i −0.669913 + 0.243829i
\(170\) 0.459878 0.0352710
\(171\) 9.38395 + 9.10723i 0.717608 + 0.696447i
\(172\) 1.63764 0.124869
\(173\) −2.84010 + 1.03371i −0.215929 + 0.0785917i −0.447720 0.894174i \(-0.647764\pi\)
0.231791 + 0.972766i \(0.425542\pi\)
\(174\) −2.44445 14.2872i −0.185313 1.08311i
\(175\) −9.38247 + 7.87283i −0.709248 + 0.595130i
\(176\) 0.923751 1.10088i 0.0696304 0.0829822i
\(177\) −6.45431 11.3115i −0.485135 0.850226i
\(178\) 0.633259 + 1.09684i 0.0474647 + 0.0822113i
\(179\) 6.00020 10.3927i 0.448476 0.776784i −0.549811 0.835289i \(-0.685300\pi\)
0.998287 + 0.0585055i \(0.0186335\pi\)
\(180\) −0.837106 2.37474i −0.0623942 0.177002i
\(181\) 2.65765 7.30183i 0.197542 0.542741i −0.800885 0.598818i \(-0.795637\pi\)
0.998426 + 0.0560773i \(0.0178593\pi\)
\(182\) 4.36385 + 2.51947i 0.323470 + 0.186756i
\(183\) 2.37042 + 2.00963i 0.175227 + 0.148556i
\(184\) 25.2432 4.45105i 1.86095 0.328136i
\(185\) −3.53146 2.96325i −0.259638 0.217863i
\(186\) −3.42436 2.00032i −0.251086 0.146671i
\(187\) 0.294962 1.67281i 0.0215697 0.122328i
\(188\) −3.86485 10.6186i −0.281873 0.774439i
\(189\) −7.37396 + 12.3340i −0.536377 + 0.897168i
\(190\) −3.08755 + 0.348484i −0.223994 + 0.0252817i
\(191\) 1.07540i 0.0778132i 0.999243 + 0.0389066i \(0.0123875\pi\)
−0.999243 + 0.0389066i \(0.987613\pi\)
\(192\) −8.18100 + 6.79414i −0.590413 + 0.490325i
\(193\) −1.90955 0.336705i −0.137452 0.0242366i 0.104499 0.994525i \(-0.466676\pi\)
−0.241951 + 0.970288i \(0.577787\pi\)
\(194\) 8.23978 + 9.81978i 0.591581 + 0.705019i
\(195\) −2.37209 0.877045i −0.169869 0.0628065i
\(196\) −0.125011 0.708971i −0.00892933 0.0506408i
\(197\) −13.7608 + 7.94478i −0.980414 + 0.566042i −0.902395 0.430910i \(-0.858193\pi\)
−0.0780187 + 0.996952i \(0.524859\pi\)
\(198\) 7.34922 1.21900i 0.522286 0.0866306i
\(199\) −2.60596 0.948493i −0.184732 0.0672369i 0.247998 0.968761i \(-0.420227\pi\)
−0.432730 + 0.901524i \(0.642450\pi\)
\(200\) −12.2088 4.44362i −0.863289 0.314212i
\(201\) 16.6966 + 3.03161i 1.17769 + 0.213833i
\(202\) −1.71201 + 0.988431i −0.120457 + 0.0695458i
\(203\) 4.26118 + 24.1664i 0.299076 + 1.69615i
\(204\) −0.430328 + 1.16388i −0.0301290 + 0.0814881i
\(205\) 2.60462 + 3.10406i 0.181914 + 0.216797i
\(206\) −11.1742 1.97032i −0.778545 0.137278i
\(207\) 22.5664 + 13.3363i 1.56847 + 0.926936i
\(208\) 1.05446i 0.0731139i
\(209\) −0.712715 + 11.4545i −0.0492996 + 0.792325i
\(210\) −1.15151 3.21448i −0.0794621 0.221820i
\(211\) −4.07334 11.1914i −0.280420 0.770449i −0.997313 0.0732647i \(-0.976658\pi\)
0.716892 0.697184i \(-0.245564\pi\)
\(212\) 1.04815 5.94436i 0.0719874 0.408261i
\(213\) −2.37808 + 4.07105i −0.162943 + 0.278943i
\(214\) −4.93143 4.13796i −0.337105 0.282865i
\(215\) −1.09765 + 0.193546i −0.0748592 + 0.0131997i
\(216\) −15.2418 0.232334i −1.03707 0.0158083i
\(217\) 5.81444 + 3.35697i 0.394710 + 0.227886i
\(218\) 3.79084 10.4152i 0.256748 0.705409i
\(219\) −9.49702 0.0482519i −0.641749 0.00326056i
\(220\) 1.10493 1.91380i 0.0744946 0.129028i
\(221\) 0.623174 + 1.07937i 0.0419192 + 0.0726062i
\(222\) −8.65410 + 4.93799i −0.580825 + 0.331416i
\(223\) 4.22862 5.03948i 0.283170 0.337468i −0.605645 0.795735i \(-0.707085\pi\)
0.888815 + 0.458266i \(0.151529\pi\)
\(224\) 11.3394 9.51487i 0.757644 0.635739i
\(225\) −6.52587 11.5731i −0.435058 0.771543i
\(226\) 1.75910 0.640260i 0.117013 0.0425894i
\(227\) 18.9131 1.25531 0.627655 0.778492i \(-0.284015\pi\)
0.627655 + 0.778492i \(0.284015\pi\)
\(228\) 2.00720 8.14023i 0.132930 0.539100i
\(229\) 9.56916 0.632348 0.316174 0.948701i \(-0.397602\pi\)
0.316174 + 0.948701i \(0.397602\pi\)
\(230\) −5.85276 + 2.13023i −0.385919 + 0.140463i
\(231\) −12.4313 + 2.12691i −0.817919 + 0.139940i
\(232\) −19.9405 + 16.7321i −1.30916 + 1.09851i
\(233\) −10.9126 + 13.0052i −0.714910 + 0.851997i −0.994126 0.108232i \(-0.965481\pi\)
0.279216 + 0.960228i \(0.409926\pi\)
\(234\) −3.55592 + 4.15137i −0.232458 + 0.271384i
\(235\) 3.84544 + 6.66050i 0.250849 + 0.434483i
\(236\) −4.17493 + 7.23119i −0.271765 + 0.470710i
\(237\) 0.0823954 16.2172i 0.00535215 1.05342i
\(238\) −0.575525 + 1.58124i −0.0373058 + 0.102497i
\(239\) −15.3984 8.89028i −0.996041 0.575064i −0.0889661 0.996035i \(-0.528356\pi\)
−0.907074 + 0.420970i \(0.861690\pi\)
\(240\) 0.462066 0.545021i 0.0298262 0.0351810i
\(241\) −6.54342 + 1.15378i −0.421499 + 0.0743216i −0.380375 0.924832i \(-0.624205\pi\)
−0.0411240 + 0.999154i \(0.513094\pi\)
\(242\) −2.93885 2.46598i −0.188916 0.158519i
\(243\) −11.6831 10.3202i −0.749470 0.662038i
\(244\) 0.345986 1.96218i 0.0221495 0.125616i
\(245\) 0.167581 + 0.460424i 0.0107063 + 0.0294154i
\(246\) 8.24485 2.95353i 0.525672 0.188310i
\(247\) −5.00182 6.77450i −0.318258 0.431051i
\(248\) 7.12195i 0.452244i
\(249\) −8.98070 10.8139i −0.569129 0.685303i
\(250\) 6.61899 + 1.16711i 0.418622 + 0.0738143i
\(251\) 18.5555 + 22.1135i 1.17121 + 1.39579i 0.901459 + 0.432864i \(0.142497\pi\)
0.269751 + 0.962930i \(0.413059\pi\)
\(252\) 9.21290 + 0.0936191i 0.580358 + 0.00589745i
\(253\) 3.99483 + 22.6558i 0.251153 + 1.42436i
\(254\) −9.26313 + 5.34807i −0.581220 + 0.335568i
\(255\) 0.150879 0.830969i 0.00944844 0.0520373i
\(256\) 15.8943 + 5.78504i 0.993392 + 0.361565i
\(257\) 6.67388 + 2.42909i 0.416305 + 0.151523i 0.541676 0.840587i \(-0.317790\pi\)
−0.125371 + 0.992110i \(0.540012\pi\)
\(258\) −0.430366 + 2.37025i −0.0267934 + 0.147565i
\(259\) 14.6084 8.43415i 0.907720 0.524073i
\(260\) 0.281566 + 1.59684i 0.0174620 + 0.0990319i
\(261\) −26.6181 0.270486i −1.64762 0.0167427i
\(262\) 11.0523 + 13.1717i 0.682816 + 0.813748i
\(263\) 1.50286 + 0.264995i 0.0926703 + 0.0163403i 0.219791 0.975547i \(-0.429462\pi\)
−0.127121 + 0.991887i \(0.540574\pi\)
\(264\) −8.54727 10.2920i −0.526048 0.633428i
\(265\) 4.10818i 0.252364i
\(266\) 2.66577 11.0523i 0.163449 0.677663i
\(267\) 2.18967 0.784401i 0.134006 0.0480045i
\(268\) −3.72116 10.2238i −0.227306 0.624518i
\(269\) 2.20000 12.4768i 0.134136 0.760726i −0.841321 0.540536i \(-0.818221\pi\)
0.975457 0.220189i \(-0.0706675\pi\)
\(270\) 3.65708 0.587517i 0.222563 0.0357552i
\(271\) 17.4285 + 14.6242i 1.05871 + 0.888359i 0.993982 0.109544i \(-0.0349391\pi\)
0.0647232 + 0.997903i \(0.479384\pi\)
\(272\) −0.346782 + 0.0611470i −0.0210267 + 0.00370758i
\(273\) 5.98424 7.05860i 0.362183 0.427206i
\(274\) −6.40155 3.69594i −0.386732 0.223280i
\(275\) 3.98816 10.9574i 0.240495 0.660754i
\(276\) 0.0853859 16.8058i 0.00513963 1.01159i
\(277\) 1.84387 3.19367i 0.110787 0.191889i −0.805301 0.592867i \(-0.797996\pi\)
0.916088 + 0.400978i \(0.131329\pi\)
\(278\) −0.0398579 0.0690360i −0.00239052 0.00414050i
\(279\) −4.73794 + 5.53132i −0.283653 + 0.331152i
\(280\) −3.94153 + 4.69733i −0.235551 + 0.280719i
\(281\) 7.23561 6.07140i 0.431640 0.362189i −0.400930 0.916109i \(-0.631313\pi\)
0.832570 + 0.553919i \(0.186868\pi\)
\(282\) 16.3846 2.80328i 0.975686 0.166933i
\(283\) −15.5216 + 5.64941i −0.922665 + 0.335823i −0.759298 0.650743i \(-0.774458\pi\)
−0.163367 + 0.986565i \(0.552235\pi\)
\(284\) 3.02282 0.179371
\(285\) −0.383295 + 5.69334i −0.0227044 + 0.337244i
\(286\) −4.79730 −0.283670
\(287\) −13.9326 + 5.07105i −0.822416 + 0.299335i
\(288\) 7.88697 + 13.9870i 0.464744 + 0.824189i
\(289\) 12.7039 10.6599i 0.747289 0.627050i
\(290\) 4.06567 4.84527i 0.238744 0.284524i
\(291\) 20.4471 11.6670i 1.19863 0.683932i
\(292\) 3.04452 + 5.27326i 0.178167 + 0.308594i
\(293\) 12.9655 22.4569i 0.757453 1.31195i −0.186692 0.982418i \(-0.559777\pi\)
0.944145 0.329529i \(-0.106890\pi\)
\(294\) 1.05899 + 0.00538043i 0.0617614 + 0.000313793i
\(295\) 1.94369 5.34024i 0.113166 0.310921i
\(296\) 15.4962 + 8.94671i 0.900696 + 0.520017i
\(297\) 0.208520 13.6795i 0.0120996 0.793765i
\(298\) −11.0826 + 1.95417i −0.641999 + 0.113202i
\(299\) −12.9308 10.8502i −0.747808 0.627485i
\(300\) −4.29663 + 7.35542i −0.248066 + 0.424665i
\(301\) 0.708196 4.01638i 0.0408197 0.231500i
\(302\) −0.851345 2.33905i −0.0489894 0.134597i
\(303\) 1.22434 + 3.41779i 0.0703367 + 0.196347i
\(304\) 2.28191 0.673314i 0.130876 0.0386172i
\(305\) 1.35608i 0.0776487i
\(306\) −1.57147 0.928704i −0.0898347 0.0530905i
\(307\) 11.7253 + 2.06749i 0.669199 + 0.117998i 0.497917 0.867224i \(-0.334098\pi\)
0.171281 + 0.985222i \(0.445209\pi\)
\(308\) 5.19761 + 6.19428i 0.296162 + 0.352952i
\(309\) −7.22634 + 19.5447i −0.411092 + 1.11186i
\(310\) −0.300505 1.70425i −0.0170675 0.0967948i
\(311\) 11.8340 6.83236i 0.671045 0.387428i −0.125428 0.992103i \(-0.540030\pi\)
0.796472 + 0.604675i \(0.206697\pi\)
\(312\) 9.65838 + 1.75368i 0.546798 + 0.0992823i
\(313\) −0.501783 0.182634i −0.0283624 0.0103231i 0.327800 0.944747i \(-0.393693\pi\)
−0.356162 + 0.934424i \(0.615915\pi\)
\(314\) −11.6016 4.22262i −0.654714 0.238296i
\(315\) −6.18616 + 1.02609i −0.348551 + 0.0578134i
\(316\) −9.00467 + 5.19885i −0.506552 + 0.292458i
\(317\) −1.24799 7.07772i −0.0700943 0.397525i −0.999588 0.0286876i \(-0.990867\pi\)
0.929494 0.368837i \(-0.120244\pi\)
\(318\) 8.32817 + 3.07921i 0.467021 + 0.172674i
\(319\) −15.0170 17.8966i −0.840793 1.00202i
\(320\) −4.56996 0.805808i −0.255469 0.0450460i
\(321\) −9.09496 + 7.55316i −0.507631 + 0.421577i
\(322\) 22.7900i 1.27004i
\(323\) 1.93788 2.03779i 0.107827 0.113386i
\(324\) −1.93517 + 9.80530i −0.107510 + 0.544739i
\(325\) 2.92628 + 8.03990i 0.162321 + 0.445973i
\(326\) −3.58928 + 20.3558i −0.198792 + 1.12740i
\(327\) −17.5759 10.2669i −0.971952 0.567761i
\(328\) −12.0482 10.1096i −0.665251 0.558212i
\(329\) −27.7139 + 4.88671i −1.52792 + 0.269413i
\(330\) 2.47958 + 2.10218i 0.136497 + 0.115721i
\(331\) 10.8346 + 6.25537i 0.595524 + 0.343826i 0.767279 0.641314i \(-0.221610\pi\)
−0.171755 + 0.985140i \(0.554944\pi\)
\(332\) −3.08243 + 8.46890i −0.169170 + 0.464791i
\(333\) 6.08334 + 17.2575i 0.333365 + 0.945704i
\(334\) −0.601699 + 1.04217i −0.0329235 + 0.0570252i
\(335\) 3.70247 + 6.41287i 0.202288 + 0.350373i
\(336\) 1.29574 + 2.27085i 0.0706882 + 0.123885i
\(337\) −10.1355 + 12.0790i −0.552114 + 0.657984i −0.967858 0.251498i \(-0.919077\pi\)
0.415744 + 0.909482i \(0.363521\pi\)
\(338\) −6.69584 + 5.61847i −0.364205 + 0.305605i
\(339\) −0.579772 3.38864i −0.0314889 0.184046i
\(340\) −0.508826 + 0.185198i −0.0275950 + 0.0100437i
\(341\) −6.39196 −0.346144
\(342\) 11.2543 + 5.04436i 0.608565 + 0.272768i
\(343\) 17.5660 0.948476
\(344\) 4.06529 1.47964i 0.219186 0.0797770i
\(345\) 1.92898 + 11.2745i 0.103853 + 0.606996i
\(346\) −2.18362 + 1.83227i −0.117392 + 0.0985036i
\(347\) −6.99541 + 8.33680i −0.375533 + 0.447543i −0.920399 0.390980i \(-0.872136\pi\)
0.544866 + 0.838523i \(0.316581\pi\)
\(348\) 8.45825 + 14.8235i 0.453410 + 0.794625i
\(349\) −15.3337 26.5588i −0.820796 1.42166i −0.905090 0.425219i \(-0.860197\pi\)
0.0842943 0.996441i \(-0.473136\pi\)
\(350\) −5.77575 + 10.0039i −0.308727 + 0.534730i
\(351\) 6.33461 + 7.78732i 0.338116 + 0.415656i
\(352\) −4.81997 + 13.2427i −0.256905 + 0.705841i
\(353\) 9.45086 + 5.45646i 0.503018 + 0.290418i 0.729959 0.683491i \(-0.239539\pi\)
−0.226941 + 0.973909i \(0.572872\pi\)
\(354\) −9.36896 7.94296i −0.497955 0.422163i
\(355\) −2.02609 + 0.357255i −0.107534 + 0.0189611i
\(356\) −1.14237 0.958561i −0.0605454 0.0508036i
\(357\) 2.66838 + 1.55872i 0.141226 + 0.0824962i
\(358\) 1.96535 11.1461i 0.103872 0.589089i
\(359\) −0.231280 0.635437i −0.0122065 0.0335371i 0.933440 0.358734i \(-0.116792\pi\)
−0.945646 + 0.325197i \(0.894569\pi\)
\(360\) −4.22367 5.13873i −0.222607 0.270835i
\(361\) −11.4665 + 15.1499i −0.603498 + 0.797364i
\(362\) 7.32860i 0.385183i
\(363\) −5.42007 + 4.50125i −0.284480 + 0.236254i
\(364\) −5.84295 1.03027i −0.306254 0.0540008i
\(365\) −2.66386 3.17466i −0.139433 0.166170i
\(366\) 2.74906 + 1.01642i 0.143696 + 0.0531293i
\(367\) −0.213597 1.21137i −0.0111497 0.0632330i 0.978725 0.205175i \(-0.0657764\pi\)
−0.989875 + 0.141942i \(0.954665\pi\)
\(368\) 4.13017 2.38455i 0.215300 0.124303i
\(369\) −2.63181 15.8669i −0.137007 0.825999i
\(370\) −4.08565 1.48706i −0.212403 0.0773083i
\(371\) −14.1256 5.14128i −0.733363 0.266922i
\(372\) 4.59439 + 0.834206i 0.238208 + 0.0432516i
\(373\) 5.13058 2.96214i 0.265652 0.153374i −0.361258 0.932466i \(-0.617653\pi\)
0.626910 + 0.779092i \(0.284319\pi\)
\(374\) −0.278189 1.57769i −0.0143848 0.0815803i
\(375\) 4.28048 11.5772i 0.221043 0.597843i
\(376\) −19.1883 22.8677i −0.989560 1.17931i
\(377\) 16.8816 + 2.97667i 0.869445 + 0.153307i
\(378\) −2.55663 + 13.3098i −0.131499 + 0.684581i
\(379\) 10.4298i 0.535745i 0.963454 + 0.267872i \(0.0863205\pi\)
−0.963454 + 0.267872i \(0.913679\pi\)
\(380\) 3.27585 1.62896i 0.168047 0.0835641i
\(381\) 6.62451 + 18.4925i 0.339384 + 0.947399i
\(382\) 0.346894 + 0.953083i 0.0177486 + 0.0487640i
\(383\) 2.22181 12.6005i 0.113529 0.643855i −0.873939 0.486036i \(-0.838442\pi\)
0.987468 0.157820i \(-0.0504464\pi\)
\(384\) 4.29331 7.34974i 0.219092 0.375065i
\(385\) −4.21586 3.53753i −0.214860 0.180289i
\(386\) −1.80097 + 0.317559i −0.0916668 + 0.0161633i
\(387\) 4.14168 + 1.55529i 0.210534 + 0.0790598i
\(388\) −13.0713 7.54673i −0.663596 0.383127i
\(389\) −5.42537 + 14.9061i −0.275077 + 0.755768i 0.722825 + 0.691031i \(0.242843\pi\)
−0.997902 + 0.0647371i \(0.979379\pi\)
\(390\) −2.38520 0.0121186i −0.120779 0.000613647i
\(391\) 2.81848 4.88175i 0.142537 0.246881i
\(392\) −0.950900 1.64701i −0.0480277 0.0831864i
\(393\) 27.4265 15.6494i 1.38348 0.789409i
\(394\) −9.63283 + 11.4800i −0.485295 + 0.578352i
\(395\) 5.42109 4.54883i 0.272765 0.228877i
\(396\) −7.64055 + 4.30836i −0.383952 + 0.216503i
\(397\) 17.4496 6.35113i 0.875770 0.318754i 0.135269 0.990809i \(-0.456810\pi\)
0.740501 + 0.672055i \(0.234588\pi\)
\(398\) −2.61552 −0.131104
\(399\) −19.0963 8.44299i −0.956010 0.422678i
\(400\) −2.41730 −0.120865
\(401\) 30.7150 11.1794i 1.53384 0.558271i 0.569279 0.822144i \(-0.307222\pi\)
0.964557 + 0.263874i \(0.0850002\pi\)
\(402\) 15.7754 2.69906i 0.786806 0.134617i
\(403\) 3.59279 3.01471i 0.178970 0.150173i
\(404\) 1.49618 1.78308i 0.0744379 0.0887117i
\(405\) 0.138232 6.80087i 0.00686878 0.337938i
\(406\) 11.5719 + 20.0431i 0.574304 + 0.994723i
\(407\) −8.02968 + 13.9078i −0.398017 + 0.689385i
\(408\) −0.0166549 + 3.27805i −0.000824540 + 0.162288i
\(409\) 6.25333 17.1809i 0.309207 0.849540i −0.683605 0.729853i \(-0.739589\pi\)
0.992812 0.119687i \(-0.0381891\pi\)
\(410\) 3.30965 + 1.91082i 0.163452 + 0.0943689i
\(411\) −8.77858 + 10.3546i −0.433016 + 0.510755i
\(412\) 13.1570 2.31994i 0.648201 0.114295i
\(413\) 15.9294 + 13.3663i 0.783834 + 0.657715i
\(414\) 24.3016 + 4.54011i 1.19436 + 0.223134i
\(415\) 1.06514 6.04072i 0.0522857 0.296527i
\(416\) −3.53662 9.71678i −0.173397 0.476404i
\(417\) −0.137820 + 0.0493710i −0.00674909 + 0.00241771i
\(418\) 3.06325 + 10.3816i 0.149829 + 0.507779i
\(419\) 23.0832i 1.12769i −0.825882 0.563843i \(-0.809322\pi\)
0.825882 0.563843i \(-0.190678\pi\)
\(420\) 2.56859 + 3.09290i 0.125334 + 0.150918i
\(421\) −11.4247 2.01448i −0.556804 0.0981796i −0.111837 0.993727i \(-0.535674\pi\)
−0.444967 + 0.895547i \(0.646785\pi\)
\(422\) −7.22007 8.60454i −0.351467 0.418863i
\(423\) 0.310193 30.5255i 0.0150821 1.48420i
\(424\) −2.76893 15.7034i −0.134471 0.762624i
\(425\) −2.47439 + 1.42859i −0.120026 + 0.0692968i
\(426\) −0.794389 + 4.37510i −0.0384883 + 0.211974i
\(427\) −4.66273 1.69709i −0.225645 0.0821282i
\(428\) 7.12272 + 2.59246i 0.344290 + 0.125311i
\(429\) −1.57393 + 8.66840i −0.0759898 + 0.418514i
\(430\) −0.910371 + 0.525603i −0.0439020 + 0.0253468i
\(431\) −1.52061 8.62379i −0.0732450 0.415393i −0.999279 0.0379542i \(-0.987916\pi\)
0.926034 0.377439i \(-0.123195\pi\)
\(432\) −2.67959 + 0.929290i −0.128922 + 0.0447105i
\(433\) 22.4687 + 26.7771i 1.07977 + 1.28683i 0.955633 + 0.294561i \(0.0951734\pi\)
0.124142 + 0.992264i \(0.460382\pi\)
\(434\) 6.23596 + 1.09957i 0.299335 + 0.0527809i
\(435\) −7.42121 8.93606i −0.355820 0.428451i
\(436\) 13.0504i 0.625002i
\(437\) −15.2236 + 34.9111i −0.728243 + 1.67003i
\(438\) −8.43238 + 3.02071i −0.402915 + 0.144335i
\(439\) 7.13625 + 19.6067i 0.340595 + 0.935777i 0.985222 + 0.171280i \(0.0547902\pi\)
−0.644628 + 0.764497i \(0.722988\pi\)
\(440\) 1.01374 5.74918i 0.0483279 0.274081i
\(441\) 0.357161 1.91176i 0.0170077 0.0910360i
\(442\) 0.900467 + 0.755582i 0.0428309 + 0.0359394i
\(443\) 3.66884 0.646915i 0.174312 0.0307359i −0.0858110 0.996311i \(-0.527348\pi\)
0.260123 + 0.965576i \(0.416237\pi\)
\(444\) 7.58664 8.94868i 0.360046 0.424685i
\(445\) 0.878979 + 0.507479i 0.0416676 + 0.0240568i
\(446\) 2.12206 5.83032i 0.100483 0.276073i
\(447\) −0.105002 + 20.6667i −0.00496643 + 0.977502i
\(448\) 8.48988 14.7049i 0.401109 0.694742i
\(449\) 3.50765 + 6.07543i 0.165536 + 0.286717i 0.936846 0.349743i \(-0.113731\pi\)
−0.771309 + 0.636461i \(0.780398\pi\)
\(450\) −9.51678 8.15174i −0.448625 0.384277i
\(451\) 9.07342 10.8133i 0.427251 0.509178i
\(452\) −1.68849 + 1.41681i −0.0794201 + 0.0666414i
\(453\) −4.50583 + 0.770915i −0.211702 + 0.0362208i
\(454\) 16.7619 6.10085i 0.786677 0.286327i
\(455\) 4.03809 0.189309
\(456\) −2.37220 22.0209i −0.111089 1.03123i
\(457\) −30.3503 −1.41973 −0.709864 0.704339i \(-0.751243\pi\)
−0.709864 + 0.704339i \(0.751243\pi\)
\(458\) 8.48075 3.08674i 0.396280 0.144234i
\(459\) −2.19368 + 2.53484i −0.102392 + 0.118316i
\(460\) 5.61785 4.71393i 0.261933 0.219788i
\(461\) 12.4414 14.8271i 0.579453 0.690565i −0.394089 0.919072i \(-0.628940\pi\)
0.973542 + 0.228507i \(0.0733843\pi\)
\(462\) −10.3313 + 5.89497i −0.480654 + 0.274259i
\(463\) −6.55643 11.3561i −0.304703 0.527761i 0.672492 0.740104i \(-0.265224\pi\)
−0.977195 + 0.212343i \(0.931891\pi\)
\(464\) −2.42157 + 4.19428i −0.112418 + 0.194715i
\(465\) −3.17806 0.0161469i −0.147379 0.000748793i
\(466\) −5.47631 + 15.0460i −0.253685 + 0.696995i
\(467\) −31.3996 18.1286i −1.45300 0.838891i −0.454351 0.890823i \(-0.650129\pi\)
−0.998651 + 0.0519317i \(0.983462\pi\)
\(468\) 2.26260 6.02524i 0.104589 0.278517i
\(469\) −26.6836 + 4.70503i −1.23213 + 0.217258i
\(470\) 5.55654 + 4.66249i 0.256304 + 0.215065i
\(471\) −11.4363 + 19.5779i −0.526957 + 0.902101i
\(472\) −3.83034 + 21.7229i −0.176306 + 0.999880i
\(473\) 1.32798 + 3.64860i 0.0610607 + 0.167763i
\(474\) −5.15819 14.3992i −0.236924 0.661378i
\(475\) 15.5302 11.4664i 0.712572 0.526114i
\(476\) 1.98132i 0.0908135i
\(477\) 8.29630 14.0382i 0.379861 0.642766i
\(478\) −16.5147 2.91199i −0.755366 0.133191i
\(479\) 7.11537 + 8.47977i 0.325110 + 0.387451i 0.903699 0.428169i \(-0.140841\pi\)
−0.578589 + 0.815619i \(0.696397\pi\)
\(480\) −2.42992 + 6.57206i −0.110910 + 0.299972i
\(481\) −2.04617 11.6044i −0.0932975 0.529117i
\(482\) −5.42698 + 3.13327i −0.247192 + 0.142717i
\(483\) −41.1801 7.47709i −1.87376 0.340219i
\(484\) 4.24473 + 1.54495i 0.192942 + 0.0702252i
\(485\) 9.65318 + 3.51347i 0.438328 + 0.159538i
\(486\) −13.6832 5.37770i −0.620684 0.243937i
\(487\) −16.7012 + 9.64242i −0.756802 + 0.436940i −0.828146 0.560512i \(-0.810604\pi\)
0.0713444 + 0.997452i \(0.477271\pi\)
\(488\) −0.914001 5.18356i −0.0413749 0.234649i
\(489\) 35.6041 + 13.1641i 1.61007 + 0.595299i
\(490\) 0.297040 + 0.353998i 0.0134189 + 0.0159920i
\(491\) −20.1391 3.55106i −0.908864 0.160257i −0.300377 0.953821i \(-0.597112\pi\)
−0.608488 + 0.793563i \(0.708224\pi\)
\(492\) −7.93299 + 6.58818i −0.357647 + 0.297018i
\(493\) 5.72446i 0.257817i
\(494\) −6.61816 4.39051i −0.297765 0.197538i
\(495\) 4.61201 3.79075i 0.207295 0.170382i
\(496\) 0.453206 + 1.24517i 0.0203495 + 0.0559099i
\(497\) 1.30722 7.41360i 0.0586368 0.332546i
\(498\) −11.4475 6.68698i −0.512974 0.299651i
\(499\) 26.4116 + 22.1619i 1.18234 + 0.992104i 0.999961 + 0.00887695i \(0.00282566\pi\)
0.182383 + 0.983227i \(0.441619\pi\)
\(500\) −7.79351 + 1.37421i −0.348536 + 0.0614564i
\(501\) 1.68573 + 1.42915i 0.0753129 + 0.0638499i
\(502\) 23.5781 + 13.6128i 1.05234 + 0.607571i
\(503\) −14.2850 + 39.2477i −0.636936 + 1.74997i 0.0242047 + 0.999707i \(0.492295\pi\)
−0.661141 + 0.750262i \(0.729928\pi\)
\(504\) 22.9548 8.09168i 1.02249 0.360432i
\(505\) −0.792106 + 1.37197i −0.0352482 + 0.0610517i
\(506\) 10.8486 + 18.7903i 0.482277 + 0.835329i
\(507\) 7.95541 + 13.9423i 0.353312 + 0.619199i
\(508\) 8.09535 9.64767i 0.359173 0.428046i
\(509\) −2.29929 + 1.92934i −0.101914 + 0.0855163i −0.692321 0.721590i \(-0.743412\pi\)
0.590407 + 0.807106i \(0.298967\pi\)
\(510\) −0.134329 0.785123i −0.00594819 0.0347658i
\(511\) 14.2495 5.18640i 0.630361 0.229433i
\(512\) 6.12392 0.270642
\(513\) 12.8072 18.6809i 0.565453 0.824781i
\(514\) 6.69834 0.295451
\(515\) −8.54453 + 3.10996i −0.376517 + 0.137041i
\(516\) −0.478349 2.79584i −0.0210581 0.123080i
\(517\) 20.5238 17.2215i 0.902635 0.757401i
\(518\) 10.2262 12.1871i 0.449313 0.535470i
\(519\) 2.59438 + 4.54680i 0.113881 + 0.199582i
\(520\) 2.14175 + 3.70962i 0.0939219 + 0.162677i
\(521\) −15.2958 + 26.4931i −0.670121 + 1.16068i 0.307748 + 0.951468i \(0.400425\pi\)
−0.977869 + 0.209216i \(0.932909\pi\)
\(522\) −23.6778 + 8.34653i −1.03635 + 0.365317i
\(523\) 6.27523 17.2410i 0.274397 0.753898i −0.723576 0.690245i \(-0.757503\pi\)
0.997972 0.0636530i \(-0.0202751\pi\)
\(524\) −17.5331 10.1227i −0.765937 0.442214i
\(525\) 16.1814 + 13.7185i 0.706216 + 0.598726i
\(526\) 1.41740 0.249926i 0.0618016 0.0108973i
\(527\) 1.19979 + 1.00674i 0.0522637 + 0.0438545i
\(528\) −2.14930 1.25550i −0.0935363 0.0546387i
\(529\) −9.26316 + 52.5340i −0.402746 + 2.28409i
\(530\) 1.32518 + 3.64091i 0.0575623 + 0.158151i
\(531\) −17.4262 + 14.3231i −0.756234 + 0.621571i
\(532\) 1.50139 + 13.3023i 0.0650936 + 0.576726i
\(533\) 10.3573i 0.448626i
\(534\) 1.68759 1.40151i 0.0730293 0.0606492i
\(535\) −5.08051 0.895830i −0.219649 0.0387301i
\(536\) −18.4749 22.0175i −0.797994 0.951012i
\(537\) −19.4954 7.20814i −0.841290 0.311054i
\(538\) −2.07490 11.7674i −0.0894554 0.507327i
\(539\) 1.47819 0.853434i 0.0636702 0.0367600i
\(540\) −3.80973 + 2.12280i −0.163945 + 0.0913506i
\(541\) −11.3765 4.14071i −0.489114 0.178023i 0.0856773 0.996323i \(-0.472695\pi\)
−0.574791 + 0.818300i \(0.694917\pi\)
\(542\) 20.1635 + 7.33892i 0.866097 + 0.315234i
\(543\) −13.2423 2.40441i −0.568281 0.103183i
\(544\) 2.99048 1.72655i 0.128216 0.0740253i
\(545\) −1.54238 8.74726i −0.0660682 0.374691i
\(546\) 3.02668 8.18609i 0.129530 0.350332i
\(547\) −14.0778 16.7773i −0.601923 0.717344i 0.375927 0.926649i \(-0.377324\pi\)
−0.977850 + 0.209305i \(0.932880\pi\)
\(548\) 8.57132 + 1.51135i 0.366148 + 0.0645618i
\(549\) 2.73854 4.63390i 0.116878 0.197770i
\(550\) 10.9975i 0.468936i
\(551\) −4.33785 38.4332i −0.184799 1.63731i
\(552\) −14.9725 41.7961i −0.637272 1.77896i
\(553\) 8.85635 + 24.3326i 0.376610 + 1.03473i
\(554\) 0.603955 3.42520i 0.0256596 0.145523i
\(555\) −4.02746 + 6.89463i −0.170956 + 0.292661i
\(556\) 0.0719018 + 0.0603328i 0.00304932 + 0.00255868i
\(557\) 26.7456 4.71596i 1.13325 0.199822i 0.424596 0.905383i \(-0.360416\pi\)
0.708649 + 0.705561i \(0.249305\pi\)
\(558\) −2.41479 + 6.43051i −0.102226 + 0.272225i
\(559\) −2.46726 1.42447i −0.104354 0.0602488i
\(560\) −0.390206 + 1.07208i −0.0164892 + 0.0453037i
\(561\) −2.94205 0.0149478i −0.124214 0.000631096i
\(562\) 4.45416 7.71484i 0.187887 0.325431i
\(563\) −0.218964 0.379256i −0.00922822 0.0159837i 0.861374 0.507971i \(-0.169604\pi\)
−0.870603 + 0.491987i \(0.836271\pi\)
\(564\) −16.9996 + 9.69989i −0.715811 + 0.408439i
\(565\) 0.964292 1.14920i 0.0405681 0.0483472i
\(566\) −11.9338 + 10.0137i −0.501617 + 0.420906i
\(567\) 23.2111 + 8.98641i 0.974774 + 0.377394i
\(568\) 7.50388 2.73119i 0.314856 0.114598i
\(569\) −32.6261 −1.36776 −0.683878 0.729596i \(-0.739708\pi\)
−0.683878 + 0.729596i \(0.739708\pi\)
\(570\) 1.49681 + 5.16941i 0.0626945 + 0.216523i
\(571\) −22.3986 −0.937353 −0.468676 0.883370i \(-0.655269\pi\)
−0.468676 + 0.883370i \(0.655269\pi\)
\(572\) 5.30791 1.93192i 0.221935 0.0807777i
\(573\) 1.83597 0.314122i 0.0766988 0.0131226i
\(574\) −10.7121 + 8.98853i −0.447115 + 0.375174i
\(575\) 24.8735 29.6431i 1.03730 1.23620i
\(576\) 13.9889 + 11.9824i 0.582871 + 0.499267i
\(577\) 11.7982 + 20.4351i 0.491165 + 0.850723i 0.999948 0.0101715i \(-0.00323775\pi\)
−0.508783 + 0.860895i \(0.669904\pi\)
\(578\) 7.82039 13.5453i 0.325285 0.563411i
\(579\) −0.0170632 + 3.35842i −0.000709124 + 0.139571i
\(580\) −2.54717 + 6.99828i −0.105765 + 0.290588i
\(581\) 19.4374 + 11.2222i 0.806399 + 0.465575i
\(582\) 14.3579 16.9356i 0.595156 0.702005i
\(583\) 14.0938 2.48512i 0.583706 0.102923i
\(584\) 12.3223 + 10.3396i 0.509899 + 0.427856i
\(585\) −0.804447 + 4.30592i −0.0332598 + 0.178028i
\(586\) 4.24683 24.0849i 0.175435 0.994940i
\(587\) −5.00085 13.7397i −0.206407 0.567099i 0.792688 0.609627i \(-0.208681\pi\)
−0.999095 + 0.0425285i \(0.986459\pi\)
\(588\) −1.17387 + 0.420512i −0.0484096 + 0.0173416i
\(589\) −8.81810 5.84996i −0.363343 0.241043i
\(590\) 5.35981i 0.220660i
\(591\) 17.5832 + 21.1723i 0.723274 + 0.870913i
\(592\) 3.27861 + 0.578107i 0.134750 + 0.0237601i
\(593\) −25.5787 30.4835i −1.05039 1.25181i −0.966861 0.255302i \(-0.917825\pi\)
−0.0835298 0.996505i \(-0.526619\pi\)
\(594\) −4.22782 12.1908i −0.173469 0.500196i
\(595\) 0.234164 + 1.32801i 0.00959978 + 0.0544431i
\(596\) 11.4753 6.62525i 0.470045 0.271381i
\(597\) −0.858114 + 4.72607i −0.0351203 + 0.193425i
\(598\) −14.9600 5.44500i −0.611761 0.222663i
\(599\) 38.7502 + 14.1039i 1.58329 + 0.576270i 0.975916 0.218146i \(-0.0700008\pi\)
0.607374 + 0.794416i \(0.292223\pi\)
\(600\) −4.02020 + 22.1413i −0.164124 + 0.903914i
\(601\) −33.4472 + 19.3108i −1.36434 + 0.787703i −0.990198 0.139669i \(-0.955396\pi\)
−0.374143 + 0.927371i \(0.622063\pi\)
\(602\) −0.667926 3.78800i −0.0272226 0.154387i
\(603\) 0.298660 29.3907i 0.0121624 1.19688i
\(604\) 1.88392 + 2.24517i 0.0766556 + 0.0913546i
\(605\) −3.02769 0.533863i −0.123093 0.0217046i
\(606\) 2.18757 + 2.63410i 0.0888638 + 0.107003i
\(607\) 14.1262i 0.573366i −0.958026 0.286683i \(-0.907447\pi\)
0.958026 0.286683i \(-0.0925526\pi\)
\(608\) −18.7693 + 13.8579i −0.761194 + 0.562013i
\(609\) 40.0132 14.3338i 1.62142 0.580835i
\(610\) 0.437432 + 1.20183i 0.0177111 + 0.0486608i
\(611\) −3.41364 + 19.3597i −0.138101 + 0.783210i
\(612\) 2.11273 + 0.394707i 0.0854020 + 0.0159551i
\(613\) −3.94393 3.30935i −0.159294 0.133663i 0.559657 0.828724i \(-0.310933\pi\)
−0.718951 + 0.695061i \(0.755377\pi\)
\(614\) 11.0586 1.94992i 0.446287 0.0786925i
\(615\) 4.53858 5.35340i 0.183013 0.215870i
\(616\) 18.4993 + 10.6806i 0.745358 + 0.430333i
\(617\) 0.607820 1.66997i 0.0244699 0.0672305i −0.926856 0.375416i \(-0.877500\pi\)
0.951326 + 0.308186i \(0.0997219\pi\)
\(618\) −0.0998499 + 19.6526i −0.00401655 + 0.790545i
\(619\) 11.8880 20.5906i 0.477819 0.827606i −0.521858 0.853032i \(-0.674761\pi\)
0.999677 + 0.0254261i \(0.00809425\pi\)
\(620\) 1.01881 + 1.76463i 0.0409163 + 0.0708692i
\(621\) 16.1767 42.4219i 0.649148 1.70233i
\(622\) 8.28406 9.87256i 0.332161 0.395853i
\(623\) −2.84493 + 2.38718i −0.113980 + 0.0956405i
\(624\) 1.80023 0.308006i 0.0720667 0.0123301i
\(625\) −15.7470 + 5.73145i −0.629881 + 0.229258i
\(626\) −0.503622 −0.0201288
\(627\) 19.7638 2.12905i 0.789291 0.0850262i
\(628\) 14.5369 0.580085
\(629\) 3.69770 1.34585i 0.147437 0.0536627i
\(630\) −5.15155 + 2.90486i −0.205243 + 0.115732i
\(631\) 21.9849 18.4475i 0.875205 0.734385i −0.0899821 0.995943i \(-0.528681\pi\)
0.965188 + 0.261559i \(0.0842365\pi\)
\(632\) −17.6560 + 21.0416i −0.702318 + 0.836990i
\(633\) −17.9167 + 10.2232i −0.712123 + 0.406334i
\(634\) −3.38912 5.87013i −0.134599 0.233132i
\(635\) −4.28582 + 7.42326i −0.170078 + 0.294583i
\(636\) −10.4546 0.0531173i −0.414553 0.00210624i
\(637\) −0.428347 + 1.17687i −0.0169717 + 0.0466294i
\(638\) −19.0819 11.0170i −0.755461 0.436166i
\(639\) 7.64489 + 2.87082i 0.302427 + 0.113568i
\(640\) 3.65784 0.644976i 0.144589 0.0254949i
\(641\) 23.9818 + 20.1231i 0.947225 + 0.794816i 0.978828 0.204685i \(-0.0656169\pi\)
−0.0316033 + 0.999500i \(0.510061\pi\)
\(642\) −5.62405 + 9.62783i −0.221963 + 0.379980i
\(643\) −2.95925 + 16.7827i −0.116701 + 0.661846i 0.869192 + 0.494474i \(0.164639\pi\)
−0.985894 + 0.167372i \(0.946472\pi\)
\(644\) 9.17779 + 25.2158i 0.361656 + 0.993640i
\(645\) 0.651050 + 1.81742i 0.0256351 + 0.0715610i
\(646\) 1.06013 2.43112i 0.0417103 0.0956511i
\(647\) 3.40639i 0.133919i 0.997756 + 0.0669596i \(0.0213299\pi\)
−0.997756 + 0.0669596i \(0.978670\pi\)
\(648\) 4.05543 + 26.0893i 0.159312 + 1.02488i
\(649\) −19.4964 3.43774i −0.765299 0.134943i
\(650\) 5.18689 + 6.18149i 0.203446 + 0.242458i
\(651\) 4.03278 10.9072i 0.158057 0.427488i
\(652\) −4.22619 23.9679i −0.165510 0.938655i
\(653\) −4.29421 + 2.47926i −0.168045 + 0.0970211i −0.581664 0.813429i \(-0.697598\pi\)
0.413618 + 0.910450i \(0.364265\pi\)
\(654\) −18.8886 3.42962i −0.738605 0.134109i
\(655\) 12.9482 + 4.71276i 0.505928 + 0.184143i
\(656\) −2.74979 1.00084i −0.107361 0.0390763i
\(657\) 2.69168 + 16.2278i 0.105012 + 0.633107i
\(658\) −22.9854 + 13.2706i −0.896063 + 0.517342i
\(659\) 2.99511 + 16.9861i 0.116673 + 0.661686i 0.985908 + 0.167287i \(0.0535007\pi\)
−0.869235 + 0.494399i \(0.835388\pi\)
\(660\) −3.59007 1.32737i −0.139743 0.0516680i
\(661\) −15.2930 18.2255i −0.594830 0.708891i 0.381696 0.924288i \(-0.375340\pi\)
−0.976527 + 0.215397i \(0.930896\pi\)
\(662\) 11.6201 + 2.04893i 0.451627 + 0.0796340i
\(663\) 1.66072 1.37919i 0.0644969 0.0535633i
\(664\) 23.8084i 0.923943i
\(665\) −2.57847 8.73861i −0.0999889 0.338869i
\(666\) 10.9582 + 13.3323i 0.424621 + 0.516615i
\(667\) −26.5166 72.8539i −1.02673 2.82091i
\(668\) 0.246049 1.39541i 0.00951991 0.0539901i
\(669\) −9.83878 5.74727i −0.380389 0.222202i
\(670\) 5.34996 + 4.48915i 0.206687 + 0.173431i
\(671\) 4.65225 0.820317i 0.179598 0.0316680i
\(672\) −19.5564 16.5798i −0.754404 0.639580i
\(673\) 9.66092 + 5.57774i 0.372401 + 0.215006i 0.674507 0.738268i \(-0.264356\pi\)
−0.302106 + 0.953274i \(0.597690\pi\)
\(674\) −5.08631 + 13.9745i −0.195917 + 0.538278i
\(675\) −17.8520 + 14.5217i −0.687123 + 0.558942i
\(676\) 5.14591 8.91298i 0.197920 0.342807i
\(677\) −12.7624 22.1050i −0.490497 0.849566i 0.509443 0.860504i \(-0.329851\pi\)
−0.999940 + 0.0109384i \(0.996518\pi\)
\(678\) −1.60691 2.81619i −0.0617129 0.108155i
\(679\) −24.1614 + 28.7945i −0.927230 + 1.10503i
\(680\) −1.09579 + 0.919473i −0.0420215 + 0.0352602i
\(681\) −5.52448 32.2893i −0.211698 1.23733i
\(682\) −5.66493 + 2.06187i −0.216921 + 0.0789529i
\(683\) −19.7577 −0.756007 −0.378004 0.925804i \(-0.623389\pi\)
−0.378004 + 0.925804i \(0.623389\pi\)
\(684\) −14.4836 1.04903i −0.553796 0.0401108i
\(685\) −5.92368 −0.226332
\(686\) 15.5680 5.66630i 0.594390 0.216340i
\(687\) −2.79513 16.3369i −0.106641 0.623291i
\(688\) 0.616601 0.517389i 0.0235077 0.0197253i
\(689\) −6.74976 + 8.04406i −0.257146 + 0.306454i
\(690\) 5.34639 + 9.36985i 0.203534 + 0.356704i
\(691\) 6.70762 + 11.6179i 0.255170 + 0.441967i 0.964942 0.262465i \(-0.0845353\pi\)
−0.709772 + 0.704432i \(0.751202\pi\)
\(692\) 1.67816 2.90666i 0.0637941 0.110495i
\(693\) 7.26229 + 20.6020i 0.275872 + 0.782604i
\(694\) −3.51052 + 9.64508i −0.133258 + 0.366122i
\(695\) −0.0553238 0.0319412i −0.00209855 0.00121160i
\(696\) 34.3903 + 29.1559i 1.30356 + 1.10515i
\(697\) −3.40622 + 0.600608i −0.129020 + 0.0227497i
\(698\) −22.1568 18.5917i −0.838646 0.703708i
\(699\) 25.3905 + 14.8317i 0.960358 + 0.560988i
\(700\) 2.36183 13.3946i 0.0892690 0.506269i
\(701\) −14.9221 40.9982i −0.563601 1.54848i −0.814318 0.580420i \(-0.802889\pi\)
0.250717 0.968060i \(-0.419334\pi\)
\(702\) 8.12607 + 4.85821i 0.306699 + 0.183361i
\(703\) −23.8059 + 11.8379i −0.897858 + 0.446474i
\(704\) 16.1655i 0.609260i
\(705\) 10.2478 8.51061i 0.385956 0.320528i
\(706\) 10.1360 + 1.78725i 0.381474 + 0.0672641i
\(707\) −3.72607 4.44056i −0.140133 0.167004i
\(708\) 13.5649 + 5.01541i 0.509800 + 0.188491i
\(709\) −2.60312 14.7630i −0.0977623 0.554438i −0.993866 0.110593i \(-0.964725\pi\)
0.896104 0.443845i \(-0.146386\pi\)
\(710\) −1.68040 + 0.970180i −0.0630643 + 0.0364102i
\(711\) −27.7108 + 4.59633i −1.03924 + 0.172376i
\(712\) −3.70191 1.34739i −0.138735 0.0504954i
\(713\) −19.9329 7.25497i −0.746491 0.271701i
\(714\) 2.86768 + 0.520685i 0.107320 + 0.0194861i
\(715\) −3.32938 + 1.92222i −0.124512 + 0.0718870i
\(716\) 2.31410 + 13.1239i 0.0864820 + 0.490464i
\(717\) −10.6800 + 28.8857i −0.398853 + 1.07875i
\(718\) −0.409948 0.488557i −0.0152991 0.0182328i
\(719\) 41.3087 + 7.28384i 1.54056 + 0.271642i 0.878474 0.477790i \(-0.158562\pi\)
0.662082 + 0.749432i \(0.269673\pi\)
\(720\) −1.06545 0.629660i −0.0397071 0.0234660i
\(721\) 33.2715i 1.23910i
\(722\) −5.27532 + 17.1255i −0.196327 + 0.637345i
\(723\) 3.88110 + 10.8342i 0.144340 + 0.402928i
\(724\) 2.95130 + 8.10864i 0.109684 + 0.301355i
\(725\) −6.82386 + 38.7000i −0.253432 + 1.43728i
\(726\) −3.35161 + 5.73763i −0.124390 + 0.212943i
\(727\) 11.3609 + 9.53290i 0.421351 + 0.353556i 0.828677 0.559727i \(-0.189094\pi\)
−0.407326 + 0.913283i \(0.633539\pi\)
\(728\) −15.4355 + 2.72169i −0.572077 + 0.100873i
\(729\) −14.2064 + 22.9603i −0.526164 + 0.850383i
\(730\) −3.38493 1.95429i −0.125282 0.0723314i
\(731\) 0.325394 0.894013i 0.0120351 0.0330663i
\(732\) −3.45099 0.0175336i −0.127552 0.000648059i
\(733\) −0.804203 + 1.39292i −0.0297039 + 0.0514487i −0.880495 0.474055i \(-0.842790\pi\)
0.850791 + 0.525504i \(0.176123\pi\)
\(734\) −0.580056 1.00469i −0.0214103 0.0370836i
\(735\) 0.737106 0.420590i 0.0271886 0.0155137i
\(736\) −30.0614 + 35.8258i −1.10808 + 1.32056i
\(737\) 19.7607 16.5812i 0.727896 0.610778i
\(738\) −7.45069 13.2132i −0.274264 0.486386i
\(739\) 1.21979 0.443965i 0.0448705 0.0163315i −0.319487 0.947591i \(-0.603511\pi\)
0.364358 + 0.931259i \(0.381288\pi\)
\(740\) 5.11937 0.188192
\(741\) −10.1047 + 10.5181i −0.371205 + 0.386393i
\(742\) −14.1773 −0.520466
\(743\) −8.68786 + 3.16212i −0.318727 + 0.116007i −0.496429 0.868077i \(-0.665356\pi\)
0.177703 + 0.984084i \(0.443134\pi\)
\(744\) 12.1589 2.08030i 0.445767 0.0762676i
\(745\) −6.90847 + 5.79689i −0.253107 + 0.212382i
\(746\) 3.59152 4.28021i 0.131495 0.156710i
\(747\) −15.8387 + 18.4910i −0.579508 + 0.676549i
\(748\) 0.943151 + 1.63358i 0.0344850 + 0.0597298i
\(749\) 9.43835 16.3477i 0.344870 0.597332i
\(750\) 0.0591456 11.6411i 0.00215969 0.425074i
\(751\) 9.38727 25.7913i 0.342546 0.941138i −0.642107 0.766615i \(-0.721939\pi\)
0.984653 0.174523i \(-0.0558383\pi\)
\(752\) −4.80999 2.77705i −0.175402 0.101268i
\(753\) 32.3332 38.1380i 1.17829 1.38983i
\(754\) 15.9216 2.80741i 0.579831 0.102240i
\(755\) −1.52807 1.28221i −0.0556123 0.0466643i
\(756\) −2.53123 15.7560i −0.0920601 0.573041i
\(757\) 3.02250 17.1414i 0.109855 0.623016i −0.879315 0.476240i \(-0.841999\pi\)
0.989170 0.146776i \(-0.0468897\pi\)
\(758\) 3.36437 + 9.24353i 0.122199 + 0.335740i
\(759\) 37.5120 13.4378i 1.36160 0.487762i
\(760\) 6.66019 7.00357i 0.241590 0.254046i
\(761\) 8.35519i 0.302875i 0.988467 + 0.151438i \(0.0483903\pi\)
−0.988467 + 0.151438i \(0.951610\pi\)
\(762\) 11.8362 + 14.2523i 0.428780 + 0.516305i
\(763\) 32.0068 + 5.64366i 1.15872 + 0.204314i
\(764\) −0.767633 0.914829i