Properties

Label 224.2.bd.a.37.1
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.1
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41418 - 0.00960786i) q^{2} +(-1.76562 + 2.30100i) q^{3} +(1.99982 + 0.0271745i) q^{4} +(2.61963 - 2.01011i) q^{5} +(2.51901 - 3.23706i) q^{6} +(-1.37753 - 2.25885i) q^{7} +(-2.82784 - 0.0576436i) q^{8} +(-1.40073 - 5.22759i) q^{9} +O(q^{10})\) \(q+(-1.41418 - 0.00960786i) q^{2} +(-1.76562 + 2.30100i) q^{3} +(1.99982 + 0.0271745i) q^{4} +(2.61963 - 2.01011i) q^{5} +(2.51901 - 3.23706i) q^{6} +(-1.37753 - 2.25885i) q^{7} +(-2.82784 - 0.0576436i) q^{8} +(-1.40073 - 5.22759i) q^{9} +(-3.72395 + 2.81750i) q^{10} +(3.36958 - 0.443613i) q^{11} +(-3.59344 + 4.55359i) q^{12} +(1.07289 - 0.444407i) q^{13} +(1.92638 + 3.20766i) q^{14} +9.57686i q^{15} +(3.99852 + 0.108688i) q^{16} +(1.96255 - 1.13308i) q^{17} +(1.93066 + 7.40622i) q^{18} +(0.673572 - 5.11629i) q^{19} +(5.29340 - 3.94867i) q^{20} +(7.62981 + 0.818565i) q^{21} +(-4.76946 + 0.594975i) q^{22} +(2.29071 + 8.54904i) q^{23} +(5.12552 - 6.40508i) q^{24} +(1.52781 - 5.70188i) q^{25} +(-1.52153 + 0.618163i) q^{26} +(6.46313 + 2.67711i) q^{27} +(-2.69343 - 4.55472i) q^{28} +(1.58074 + 3.81626i) q^{29} +(0.0920131 - 13.5434i) q^{30} +(-0.413662 - 0.716483i) q^{31} +(-5.65359 - 0.192122i) q^{32} +(-4.92863 + 8.53665i) q^{33} +(-2.78629 + 1.58352i) q^{34} +(-8.14917 - 3.14835i) q^{35} +(-2.65914 - 10.4923i) q^{36} +(0.692315 - 0.531232i) q^{37} +(-1.00171 + 7.22889i) q^{38} +(-0.871740 + 3.25338i) q^{39} +(-7.52377 + 5.53327i) q^{40} +(0.558998 - 0.558998i) q^{41} +(-10.7821 - 1.23090i) q^{42} +(4.35130 - 10.5050i) q^{43} +(6.75059 - 0.795578i) q^{44} +(-14.1774 - 10.8787i) q^{45} +(-3.15734 - 12.1119i) q^{46} +(-1.47692 - 0.852701i) q^{47} +(-7.30996 + 9.00869i) q^{48} +(-3.20480 + 6.22328i) q^{49} +(-2.21539 + 8.04882i) q^{50} +(-0.857903 + 6.51642i) q^{51} +(2.15766 - 0.859576i) q^{52} +(-1.38579 + 0.182443i) q^{53} +(-9.11431 - 3.84802i) q^{54} +(7.93534 - 7.93534i) q^{55} +(3.76523 + 6.46707i) q^{56} +(10.5833 + 10.5833i) q^{57} +(-2.19879 - 5.41206i) q^{58} +(-1.02637 - 7.79609i) q^{59} +(-0.260246 + 19.1520i) q^{60} +(1.84393 + 0.242758i) q^{61} +(0.578108 + 1.01721i) q^{62} +(-9.87879 + 10.3652i) q^{63} +(7.99335 + 0.326014i) q^{64} +(1.91728 - 3.32082i) q^{65} +(7.05200 - 12.0250i) q^{66} +(-1.83529 + 2.39179i) q^{67} +(3.95553 - 2.21262i) q^{68} +(-23.7159 - 9.82343i) q^{69} +(11.4942 + 4.53064i) q^{70} +(9.45424 + 9.45424i) q^{71} +(3.65970 + 14.8635i) q^{72} +(-6.77733 - 1.81598i) q^{73} +(-0.984162 + 0.744606i) q^{74} +(10.4225 + 13.5828i) q^{75} +(1.48605 - 10.2133i) q^{76} +(-5.64376 - 7.00028i) q^{77} +(1.26406 - 4.59249i) q^{78} +(-10.6442 - 6.14541i) q^{79} +(10.6931 - 7.75276i) q^{80} +(-3.51066 + 2.02688i) q^{81} +(-0.795895 + 0.785153i) q^{82} +(6.62223 - 2.74302i) q^{83} +(15.2360 + 1.84431i) q^{84} +(2.86354 - 6.91321i) q^{85} +(-6.25446 + 14.8141i) q^{86} +(-11.5722 - 3.10076i) q^{87} +(-9.55420 + 1.06023i) q^{88} +(-3.05705 + 0.819133i) q^{89} +(19.9450 + 15.5207i) q^{90} +(-2.48179 - 1.81132i) q^{91} +(4.34868 + 17.1588i) q^{92} +(2.37899 + 0.313201i) q^{93} +(2.08044 + 1.22006i) q^{94} +(-8.51981 - 14.7567i) q^{95} +(10.4242 - 12.6697i) q^{96} -6.07384 q^{97} +(4.59197 - 8.77005i) q^{98} +(-7.03890 - 16.9934i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41418 0.00960786i −0.999977 0.00679378i
\(3\) −1.76562 + 2.30100i −1.01938 + 1.32848i −0.0758775 + 0.997117i \(0.524176\pi\)
−0.943503 + 0.331365i \(0.892491\pi\)
\(4\) 1.99982 + 0.0271745i 0.999908 + 0.0135873i
\(5\) 2.61963 2.01011i 1.17153 0.898950i 0.175204 0.984532i \(-0.443942\pi\)
0.996331 + 0.0855821i \(0.0272750\pi\)
\(6\) 2.51901 3.23706i 1.02838 1.32153i
\(7\) −1.37753 2.25885i −0.520659 0.853765i
\(8\) −2.82784 0.0576436i −0.999792 0.0203801i
\(9\) −1.40073 5.22759i −0.466910 1.74253i
\(10\) −3.72395 + 2.81750i −1.17761 + 0.890970i
\(11\) 3.36958 0.443613i 1.01597 0.133754i 0.395891 0.918297i \(-0.370436\pi\)
0.620075 + 0.784543i \(0.287102\pi\)
\(12\) −3.59344 + 4.55359i −1.03734 + 1.31451i
\(13\) 1.07289 0.444407i 0.297567 0.123256i −0.228905 0.973449i \(-0.573515\pi\)
0.526472 + 0.850192i \(0.323515\pi\)
\(14\) 1.92638 + 3.20766i 0.514846 + 0.857283i
\(15\) 9.57686i 2.47273i
\(16\) 3.99852 + 0.108688i 0.999631 + 0.0271720i
\(17\) 1.96255 1.13308i 0.475989 0.274812i −0.242755 0.970088i \(-0.578051\pi\)
0.718743 + 0.695275i \(0.244718\pi\)
\(18\) 1.93066 + 7.40622i 0.455061 + 1.74566i
\(19\) 0.673572 5.11629i 0.154528 1.17376i −0.721821 0.692080i \(-0.756694\pi\)
0.876349 0.481677i \(-0.159972\pi\)
\(20\) 5.29340 3.94867i 1.18364 0.882949i
\(21\) 7.62981 + 0.818565i 1.66496 + 0.178625i
\(22\) −4.76946 + 0.594975i −1.01685 + 0.126849i
\(23\) 2.29071 + 8.54904i 0.477646 + 1.78260i 0.611111 + 0.791545i \(0.290723\pi\)
−0.133465 + 0.991054i \(0.542610\pi\)
\(24\) 5.12552 6.40508i 1.04624 1.30743i
\(25\) 1.52781 5.70188i 0.305563 1.14038i
\(26\) −1.52153 + 0.618163i −0.298398 + 0.121232i
\(27\) 6.46313 + 2.67711i 1.24383 + 0.515211i
\(28\) −2.69343 4.55472i −0.509010 0.860760i
\(29\) 1.58074 + 3.81626i 0.293537 + 0.708661i 1.00000 0.000910563i \(0.000289841\pi\)
−0.706463 + 0.707750i \(0.749710\pi\)
\(30\) 0.0920131 13.5434i 0.0167992 2.47268i
\(31\) −0.413662 0.716483i −0.0742958 0.128684i 0.826484 0.562960i \(-0.190338\pi\)
−0.900780 + 0.434276i \(0.857004\pi\)
\(32\) −5.65359 0.192122i −0.999423 0.0339626i
\(33\) −4.92863 + 8.53665i −0.857965 + 1.48604i
\(34\) −2.78629 + 1.58352i −0.477845 + 0.271572i
\(35\) −8.14917 3.14835i −1.37746 0.532169i
\(36\) −2.65914 10.4923i −0.443190 1.74871i
\(37\) 0.692315 0.531232i 0.113816 0.0873340i −0.550285 0.834977i \(-0.685481\pi\)
0.664101 + 0.747643i \(0.268814\pi\)
\(38\) −1.00171 + 7.22889i −0.162499 + 1.17268i
\(39\) −0.871740 + 3.25338i −0.139590 + 0.520957i
\(40\) −7.52377 + 5.53327i −1.18961 + 0.874887i
\(41\) 0.558998 0.558998i 0.0873008 0.0873008i −0.662108 0.749409i \(-0.730338\pi\)
0.749409 + 0.662108i \(0.230338\pi\)
\(42\) −10.7821 1.23090i −1.66371 0.189933i
\(43\) 4.35130 10.5050i 0.663567 1.60199i −0.128605 0.991696i \(-0.541050\pi\)
0.792172 0.610298i \(-0.208950\pi\)
\(44\) 6.75059 0.795578i 1.01769 0.119938i
\(45\) −14.1774 10.8787i −2.11345 1.62171i
\(46\) −3.15734 12.1119i −0.465524 1.78580i
\(47\) −1.47692 0.852701i −0.215431 0.124379i 0.388402 0.921490i \(-0.373027\pi\)
−0.603833 + 0.797111i \(0.706361\pi\)
\(48\) −7.30996 + 9.00869i −1.05510 + 1.30029i
\(49\) −3.20480 + 6.22328i −0.457829 + 0.889040i
\(50\) −2.21539 + 8.04882i −0.313303 + 1.13827i
\(51\) −0.857903 + 6.51642i −0.120130 + 0.912481i
\(52\) 2.15766 0.859576i 0.299214 0.119202i
\(53\) −1.38579 + 0.182443i −0.190353 + 0.0250605i −0.225100 0.974336i \(-0.572271\pi\)
0.0347468 + 0.999396i \(0.488938\pi\)
\(54\) −9.11431 3.84802i −1.24030 0.523649i
\(55\) 7.93534 7.93534i 1.07000 1.07000i
\(56\) 3.76523 + 6.46707i 0.503151 + 0.864199i
\(57\) 10.5833 + 10.5833i 1.40179 + 1.40179i
\(58\) −2.19879 5.41206i −0.288716 0.710639i
\(59\) −1.02637 7.79609i −0.133623 1.01496i −0.918530 0.395351i \(-0.870623\pi\)
0.784907 0.619613i \(-0.212711\pi\)
\(60\) −0.260246 + 19.1520i −0.0335977 + 2.47251i
\(61\) 1.84393 + 0.242758i 0.236091 + 0.0310820i 0.247643 0.968851i \(-0.420344\pi\)
−0.0115520 + 0.999933i \(0.503677\pi\)
\(62\) 0.578108 + 1.01721i 0.0734198 + 0.129186i
\(63\) −9.87879 + 10.3652i −1.24461 + 1.30589i
\(64\) 7.99335 + 0.326014i 0.999169 + 0.0407517i
\(65\) 1.91728 3.32082i 0.237809 0.411897i
\(66\) 7.05200 12.0250i 0.868041 1.48018i
\(67\) −1.83529 + 2.39179i −0.224216 + 0.292204i −0.891892 0.452248i \(-0.850622\pi\)
0.667676 + 0.744452i \(0.267289\pi\)
\(68\) 3.95553 2.21262i 0.479679 0.268320i
\(69\) −23.7159 9.82343i −2.85505 1.18260i
\(70\) 11.4942 + 4.53064i 1.37381 + 0.541515i
\(71\) 9.45424 + 9.45424i 1.12201 + 1.12201i 0.991439 + 0.130573i \(0.0416818\pi\)
0.130573 + 0.991439i \(0.458318\pi\)
\(72\) 3.65970 + 14.8635i 0.431300 + 1.75168i
\(73\) −6.77733 1.81598i −0.793227 0.212545i −0.160619 0.987017i \(-0.551349\pi\)
−0.632608 + 0.774472i \(0.718016\pi\)
\(74\) −0.984162 + 0.744606i −0.114407 + 0.0865587i
\(75\) 10.4225 + 13.5828i 1.20349 + 1.56841i
\(76\) 1.48605 10.2133i 0.170462 1.17155i
\(77\) −5.64376 7.00028i −0.643166 0.797756i
\(78\) 1.26406 4.59249i 0.143126 0.519997i
\(79\) −10.6442 6.14541i −1.19756 0.691412i −0.237550 0.971375i \(-0.576345\pi\)
−0.960011 + 0.279963i \(0.909678\pi\)
\(80\) 10.6931 7.75276i 1.19553 0.866785i
\(81\) −3.51066 + 2.02688i −0.390073 + 0.225209i
\(82\) −0.795895 + 0.785153i −0.0878918 + 0.0867056i
\(83\) 6.62223 2.74302i 0.726884 0.301085i 0.0116133 0.999933i \(-0.496303\pi\)
0.715271 + 0.698847i \(0.246303\pi\)
\(84\) 15.2360 + 1.84431i 1.66238 + 0.201231i
\(85\) 2.86354 6.91321i 0.310595 0.749842i
\(86\) −6.25446 + 14.8141i −0.674436 + 1.59745i
\(87\) −11.5722 3.10076i −1.24067 0.332436i
\(88\) −9.55420 + 1.06023i −1.01848 + 0.113021i
\(89\) −3.05705 + 0.819133i −0.324046 + 0.0868279i −0.417175 0.908826i \(-0.636980\pi\)
0.0931288 + 0.995654i \(0.470313\pi\)
\(90\) 19.9450 + 15.5207i 2.10238 + 1.63603i
\(91\) −2.48179 1.81132i −0.260163 0.189878i
\(92\) 4.34868 + 17.1588i 0.453381 + 1.78892i
\(93\) 2.37899 + 0.313201i 0.246690 + 0.0324774i
\(94\) 2.08044 + 1.22006i 0.214581 + 0.125840i
\(95\) −8.51981 14.7567i −0.874114 1.51401i
\(96\) 10.4242 12.6697i 1.06391 1.29309i
\(97\) −6.07384 −0.616705 −0.308353 0.951272i \(-0.599778\pi\)
−0.308353 + 0.951272i \(0.599778\pi\)
\(98\) 4.59197 8.77005i 0.463859 0.885909i
\(99\) −7.03890 16.9934i −0.707436 1.70790i
\(100\) 3.21029 11.3612i 0.321029 1.13612i
\(101\) −0.0897688 0.681862i −0.00893233 0.0678478i 0.986398 0.164374i \(-0.0525603\pi\)
−0.995330 + 0.0965259i \(0.969227\pi\)
\(102\) 1.27584 9.20715i 0.126327 0.911644i
\(103\) −13.0494 + 3.49659i −1.28580 + 0.344529i −0.836064 0.548633i \(-0.815149\pi\)
−0.449736 + 0.893162i \(0.648482\pi\)
\(104\) −3.05959 + 1.19487i −0.300017 + 0.117166i
\(105\) 21.6327 13.1924i 2.11113 1.28745i
\(106\) 1.96151 0.244693i 0.190519 0.0237667i
\(107\) 7.09651 + 9.24835i 0.686045 + 0.894072i 0.998437 0.0558816i \(-0.0177969\pi\)
−0.312392 + 0.949953i \(0.601130\pi\)
\(108\) 12.8523 + 5.52937i 1.23671 + 0.532064i
\(109\) 14.8990 + 11.4324i 1.42707 + 1.09503i 0.979652 + 0.200704i \(0.0643229\pi\)
0.447418 + 0.894325i \(0.352344\pi\)
\(110\) −11.2982 + 11.1458i −1.07725 + 1.06271i
\(111\) 2.53097i 0.240229i
\(112\) −5.26259 9.18178i −0.497268 0.867597i
\(113\) 5.14215i 0.483732i 0.970310 + 0.241866i \(0.0777595\pi\)
−0.970310 + 0.241866i \(0.922240\pi\)
\(114\) −14.8650 15.0684i −1.39224 1.41128i
\(115\) 23.1854 + 17.7908i 2.16205 + 1.65900i
\(116\) 3.05749 + 7.67476i 0.283881 + 0.712584i
\(117\) −3.82601 4.98615i −0.353715 0.460970i
\(118\) 1.37658 + 11.0349i 0.126724 + 1.01585i
\(119\) −5.26294 2.87226i −0.482453 0.263299i
\(120\) 0.552045 27.0818i 0.0503946 2.47222i
\(121\) 0.532080 0.142570i 0.0483709 0.0129609i
\(122\) −2.60532 0.361021i −0.235875 0.0326853i
\(123\) 0.299276 + 2.27323i 0.0269848 + 0.204970i
\(124\) −0.807777 1.44407i −0.0725405 0.129682i
\(125\) −1.14107 2.75479i −0.102060 0.246396i
\(126\) 14.0700 14.5634i 1.25345 1.29741i
\(127\) 1.28194 0.113754 0.0568770 0.998381i \(-0.481886\pi\)
0.0568770 + 0.998381i \(0.481886\pi\)
\(128\) −11.3009 0.537841i −0.998869 0.0475389i
\(129\) 16.4892 + 28.5601i 1.45179 + 2.51458i
\(130\) −2.74328 + 4.67782i −0.240602 + 0.410272i
\(131\) −12.9253 1.70165i −1.12929 0.148674i −0.457355 0.889284i \(-0.651203\pi\)
−0.671935 + 0.740610i \(0.734537\pi\)
\(132\) −10.0883 + 16.9378i −0.878077 + 1.47424i
\(133\) −12.4848 + 5.52636i −1.08257 + 0.479196i
\(134\) 2.61841 3.36480i 0.226196 0.290674i
\(135\) 22.3123 5.97857i 1.92034 0.514553i
\(136\) −5.61510 + 3.09104i −0.481491 + 0.265055i
\(137\) −5.47522 1.46708i −0.467780 0.125341i 0.0172270 0.999852i \(-0.494516\pi\)
−0.485007 + 0.874510i \(0.661183\pi\)
\(138\) 33.4441 + 14.1200i 2.84695 + 1.20197i
\(139\) −4.56535 + 11.0217i −0.387228 + 0.934852i 0.603296 + 0.797517i \(0.293854\pi\)
−0.990525 + 0.137335i \(0.956146\pi\)
\(140\) −16.2113 6.51758i −1.37010 0.550836i
\(141\) 4.56974 1.89285i 0.384842 0.159407i
\(142\) −13.2792 13.4608i −1.11436 1.12961i
\(143\) 3.41805 1.97341i 0.285832 0.165025i
\(144\) −5.03267 21.0549i −0.419389 1.75457i
\(145\) 11.8121 + 6.81971i 0.980940 + 0.566346i
\(146\) 9.56693 + 2.63324i 0.791765 + 0.217929i
\(147\) −8.66130 18.3622i −0.714372 1.51449i
\(148\) 1.39894 1.04355i 0.114992 0.0857795i
\(149\) 1.82842 + 2.38284i 0.149790 + 0.195210i 0.862221 0.506532i \(-0.169073\pi\)
−0.712432 + 0.701742i \(0.752406\pi\)
\(150\) −14.6088 19.3087i −1.19280 1.57655i
\(151\) 3.83604 + 1.02786i 0.312173 + 0.0836464i 0.411504 0.911408i \(-0.365004\pi\)
−0.0993312 + 0.995054i \(0.531670\pi\)
\(152\) −2.19968 + 14.4292i −0.178417 + 1.17036i
\(153\) −8.67229 8.67229i −0.701113 0.701113i
\(154\) 7.91404 + 9.95388i 0.637732 + 0.802107i
\(155\) −2.52385 1.04541i −0.202721 0.0839697i
\(156\) −1.83173 + 6.48247i −0.146656 + 0.519013i
\(157\) 1.80259 2.34918i 0.143862 0.187485i −0.715865 0.698239i \(-0.753967\pi\)
0.859727 + 0.510754i \(0.170634\pi\)
\(158\) 14.9937 + 8.79299i 1.19284 + 0.699532i
\(159\) 2.02698 3.51083i 0.160750 0.278427i
\(160\) −15.1965 + 10.8611i −1.20139 + 0.858643i
\(161\) 16.1555 16.9510i 1.27323 1.33592i
\(162\) 4.98418 2.83264i 0.391594 0.222553i
\(163\) 11.9219 + 1.56955i 0.933798 + 0.122937i 0.582046 0.813156i \(-0.302252\pi\)
0.351753 + 0.936093i \(0.385586\pi\)
\(164\) 1.13308 1.10270i 0.0884789 0.0861065i
\(165\) 4.24842 + 32.2700i 0.330739 + 2.51221i
\(166\) −9.39139 + 3.81550i −0.728913 + 0.296140i
\(167\) 4.12786 + 4.12786i 0.319423 + 0.319423i 0.848545 0.529122i \(-0.177479\pi\)
−0.529122 + 0.848545i \(0.677479\pi\)
\(168\) −21.5287 2.75458i −1.66097 0.212520i
\(169\) −8.23879 + 8.23879i −0.633753 + 0.633753i
\(170\) −4.11599 + 9.74901i −0.315682 + 0.747715i
\(171\) −27.6894 + 3.64537i −2.11746 + 0.278769i
\(172\) 8.98727 20.8898i 0.685273 1.59283i
\(173\) −1.73705 + 13.1942i −0.132065 + 1.00313i 0.789183 + 0.614158i \(0.210504\pi\)
−0.921248 + 0.388976i \(0.872829\pi\)
\(174\) 16.3354 + 4.49622i 1.23838 + 0.340857i
\(175\) −14.9843 + 4.40343i −1.13271 + 0.332868i
\(176\) 13.5216 1.40757i 1.01923 0.106099i
\(177\) 19.7510 + 11.4032i 1.48457 + 0.857120i
\(178\) 4.33109 1.12903i 0.324629 0.0846244i
\(179\) −16.2932 12.5022i −1.21781 0.934462i −0.218669 0.975799i \(-0.570172\pi\)
−0.999145 + 0.0413371i \(0.986838\pi\)
\(180\) −28.0567 22.1407i −2.09122 1.65027i
\(181\) 0.194691 0.470025i 0.0144713 0.0349367i −0.916479 0.400083i \(-0.868981\pi\)
0.930950 + 0.365147i \(0.118981\pi\)
\(182\) 3.49230 + 2.58538i 0.258867 + 0.191641i
\(183\) −3.81427 + 3.81427i −0.281959 + 0.281959i
\(184\) −5.98496 24.3074i −0.441217 1.79196i
\(185\) 0.745773 2.78326i 0.0548303 0.204630i
\(186\) −3.36132 0.465779i −0.246464 0.0341526i
\(187\) 6.11032 4.68862i 0.446831 0.342866i
\(188\) −2.93040 1.74538i −0.213721 0.127295i
\(189\) −2.85597 18.2870i −0.207741 1.33019i
\(190\) 11.9068 + 20.9506i 0.863808 + 1.51991i
\(191\) −11.8280 + 20.4867i −0.855844 + 1.48237i 0.0200149 + 0.999800i \(0.493629\pi\)
−0.875859 + 0.482566i \(0.839705\pi\)
\(192\) −14.8634 + 17.8171i −1.07267 + 1.28584i
\(193\) −1.87686 3.25082i −0.135100 0.233999i 0.790536 0.612416i \(-0.209802\pi\)
−0.925635 + 0.378416i \(0.876469\pi\)
\(194\) 8.58952 + 0.0583566i 0.616691 + 0.00418976i
\(195\) 4.25602 + 10.2749i 0.304780 + 0.735804i
\(196\) −6.57813 + 12.3583i −0.469867 + 0.882737i
\(197\) −15.1341 6.26874i −1.07826 0.446629i −0.228360 0.973577i \(-0.573336\pi\)
−0.849898 + 0.526948i \(0.823336\pi\)
\(198\) 9.79100 + 24.0994i 0.695816 + 1.71267i
\(199\) 3.22379 12.0313i 0.228528 0.852879i −0.752432 0.658670i \(-0.771119\pi\)
0.980960 0.194209i \(-0.0622140\pi\)
\(200\) −4.64909 + 16.0359i −0.328741 + 1.13391i
\(201\) −2.26310 8.44599i −0.159627 0.595734i
\(202\) 0.120398 + 0.965139i 0.00847118 + 0.0679069i
\(203\) 6.44282 8.82768i 0.452197 0.619582i
\(204\) −1.89273 + 13.0083i −0.132517 + 0.910764i
\(205\) 0.340719 2.58802i 0.0237968 0.180755i
\(206\) 18.4879 4.81943i 1.28811 0.335786i
\(207\) 41.4822 23.9498i 2.88322 1.66463i
\(208\) 4.33829 1.66036i 0.300806 0.115125i
\(209\) 17.5385i 1.21317i
\(210\) −30.7193 + 18.4487i −2.11983 + 1.27308i
\(211\) −10.8739 + 4.50411i −0.748588 + 0.310075i −0.724165 0.689626i \(-0.757775\pi\)
−0.0244229 + 0.999702i \(0.507775\pi\)
\(212\) −2.77629 + 0.327194i −0.190676 + 0.0224718i
\(213\) −38.4468 + 5.06161i −2.63433 + 0.346816i
\(214\) −9.94689 13.1470i −0.679955 0.898712i
\(215\) −9.71738 36.2658i −0.662720 2.47331i
\(216\) −18.1224 7.94301i −1.23307 0.540453i
\(217\) −1.04859 + 1.92138i −0.0711832 + 0.130432i
\(218\) −20.9601 16.3107i −1.41960 1.10470i
\(219\) 16.1448 12.3883i 1.09096 0.837124i
\(220\) 16.0849 15.6536i 1.08444 1.05536i
\(221\) 1.60206 2.08785i 0.107766 0.140444i
\(222\) 0.0243172 3.57925i 0.00163206 0.240223i
\(223\) −3.28335 −0.219869 −0.109935 0.993939i \(-0.535064\pi\)
−0.109935 + 0.993939i \(0.535064\pi\)
\(224\) 7.35403 + 13.0353i 0.491362 + 0.870955i
\(225\) −31.9472 −2.12981
\(226\) 0.0494050 7.27193i 0.00328637 0.483721i
\(227\) 6.23703 8.12826i 0.413966 0.539491i −0.539104 0.842239i \(-0.681237\pi\)
0.953071 + 0.302747i \(0.0979039\pi\)
\(228\) 20.8771 + 21.4522i 1.38262 + 1.42071i
\(229\) −2.93742 + 2.25396i −0.194110 + 0.148946i −0.701244 0.712921i \(-0.747372\pi\)
0.507134 + 0.861867i \(0.330705\pi\)
\(230\) −32.6174 25.3821i −2.15073 1.67365i
\(231\) 26.0724 0.626467i 1.71544 0.0412185i
\(232\) −4.25011 10.8829i −0.279033 0.714496i
\(233\) −1.81516 6.77428i −0.118915 0.443798i 0.880635 0.473796i \(-0.157117\pi\)
−0.999550 + 0.0299982i \(0.990450\pi\)
\(234\) 5.36276 + 7.08808i 0.350575 + 0.463362i
\(235\) −5.58302 + 0.735018i −0.364196 + 0.0479473i
\(236\) −1.84071 15.6186i −0.119820 1.01669i
\(237\) 32.9341 13.6417i 2.13930 0.886127i
\(238\) 7.41515 + 4.11245i 0.480653 + 0.266571i
\(239\) 21.7829i 1.40902i 0.709696 + 0.704508i \(0.248832\pi\)
−0.709696 + 0.704508i \(0.751168\pi\)
\(240\) −1.04089 + 38.2933i −0.0671891 + 2.47182i
\(241\) −22.9996 + 13.2788i −1.48153 + 0.855363i −0.999781 0.0209448i \(-0.993333\pi\)
−0.481752 + 0.876308i \(0.659999\pi\)
\(242\) −0.753827 + 0.196508i −0.0484578 + 0.0126320i
\(243\) −1.20471 + 9.15066i −0.0772820 + 0.587015i
\(244\) 3.68093 + 0.535580i 0.235647 + 0.0342870i
\(245\) 4.11410 + 22.7447i 0.262840 + 1.45311i
\(246\) −0.401390 3.21763i −0.0255917 0.205149i
\(247\) −1.55104 5.78857i −0.0986905 0.368318i
\(248\) 1.12847 + 2.04994i 0.0716578 + 0.130172i
\(249\) −5.38065 + 20.0809i −0.340985 + 1.27257i
\(250\) 1.58721 + 3.90673i 0.100384 + 0.247083i
\(251\) −14.0102 5.80322i −0.884317 0.366296i −0.106148 0.994350i \(-0.533852\pi\)
−0.778170 + 0.628054i \(0.783852\pi\)
\(252\) −20.0374 + 20.4601i −1.26224 + 1.28886i
\(253\) 11.5112 + 27.7905i 0.723702 + 1.74717i
\(254\) −1.81290 0.0123167i −0.113751 0.000772820i
\(255\) 10.8514 + 18.7951i 0.679538 + 1.17699i
\(256\) 15.9764 + 0.869183i 0.998523 + 0.0543239i
\(257\) 10.0766 17.4531i 0.628558 1.08870i −0.359283 0.933229i \(-0.616979\pi\)
0.987841 0.155466i \(-0.0496880\pi\)
\(258\) −23.0443 40.5476i −1.43468 2.52438i
\(259\) −2.15366 0.832046i −0.133822 0.0517008i
\(260\) 3.92444 6.58892i 0.243383 0.408628i
\(261\) 17.7356 13.6090i 1.09781 0.842378i
\(262\) 18.2624 + 2.53063i 1.12825 + 0.156343i
\(263\) 1.99620 7.44993i 0.123091 0.459382i −0.876673 0.481086i \(-0.840242\pi\)
0.999764 + 0.0217039i \(0.00690910\pi\)
\(264\) 14.4295 23.8562i 0.888073 1.46825i
\(265\) −3.26353 + 3.26353i −0.200477 + 0.200477i
\(266\) 17.7089 7.69532i 1.08580 0.471830i
\(267\) 3.51275 8.48054i 0.214977 0.519000i
\(268\) −3.73523 + 4.73327i −0.228166 + 0.289131i
\(269\) 17.6100 + 13.5126i 1.07370 + 0.823878i 0.985064 0.172186i \(-0.0550830\pi\)
0.0886345 + 0.996064i \(0.471750\pi\)
\(270\) −31.6111 + 8.24040i −1.92379 + 0.501495i
\(271\) 1.70866 + 0.986498i 0.103794 + 0.0599255i 0.550998 0.834506i \(-0.314247\pi\)
−0.447204 + 0.894432i \(0.647580\pi\)
\(272\) 7.97046 4.31734i 0.483280 0.261777i
\(273\) 8.54974 2.51251i 0.517454 0.152064i
\(274\) 7.72886 + 2.12732i 0.466917 + 0.128516i
\(275\) 2.61866 19.8907i 0.157911 1.19945i
\(276\) −47.1604 20.2895i −2.83872 1.22128i
\(277\) −2.91350 + 0.383570i −0.175055 + 0.0230465i −0.217544 0.976050i \(-0.569805\pi\)
0.0424888 + 0.999097i \(0.486471\pi\)
\(278\) 6.56213 15.5429i 0.393570 0.932199i
\(279\) −3.16605 + 3.16605i −0.189547 + 0.189547i
\(280\) 22.8631 + 9.37279i 1.36633 + 0.560131i
\(281\) 3.36927 + 3.36927i 0.200994 + 0.200994i 0.800426 0.599432i \(-0.204607\pi\)
−0.599432 + 0.800426i \(0.704607\pi\)
\(282\) −6.48063 + 2.63293i −0.385916 + 0.156789i
\(283\) 3.47979 + 26.4317i 0.206852 + 1.57120i 0.708237 + 0.705974i \(0.249491\pi\)
−0.501385 + 0.865224i \(0.667176\pi\)
\(284\) 18.6498 + 19.1637i 1.10666 + 1.13715i
\(285\) 48.9980 + 6.45071i 2.90239 + 0.382107i
\(286\) −4.85270 + 2.75792i −0.286946 + 0.163079i
\(287\) −2.03273 0.492654i −0.119988 0.0290804i
\(288\) 6.91482 + 29.8238i 0.407459 + 1.75738i
\(289\) −5.93226 + 10.2750i −0.348956 + 0.604410i
\(290\) −16.6389 9.75779i −0.977069 0.572997i
\(291\) 10.7241 13.9759i 0.628657 0.819282i
\(292\) −13.5041 3.81580i −0.790266 0.223303i
\(293\) 21.2059 + 8.78378i 1.23886 + 0.513154i 0.903359 0.428885i \(-0.141093\pi\)
0.335504 + 0.942039i \(0.391093\pi\)
\(294\) 12.0722 + 26.0507i 0.704066 + 1.51931i
\(295\) −18.3598 18.3598i −1.06895 1.06895i
\(296\) −1.98838 + 1.46233i −0.115572 + 0.0849963i
\(297\) 22.9656 + 6.15362i 1.33260 + 0.357069i
\(298\) −2.56282 3.38733i −0.148460 0.196223i
\(299\) 6.25694 + 8.15420i 0.361848 + 0.471570i
\(300\) 20.4739 + 27.4464i 1.18206 + 1.58462i
\(301\) −29.7232 + 4.64201i −1.71322 + 0.267561i
\(302\) −5.41498 1.49044i −0.311597 0.0857653i
\(303\) 1.72746 + 0.997350i 0.0992400 + 0.0572963i
\(304\) 3.24937 20.3844i 0.186364 1.16913i
\(305\) 5.31840 3.07058i 0.304531 0.175821i
\(306\) 12.1809 + 12.3475i 0.696333 + 0.705860i
\(307\) 26.9226 11.1517i 1.53655 0.636461i 0.555730 0.831363i \(-0.312439\pi\)
0.980823 + 0.194901i \(0.0624387\pi\)
\(308\) −11.0963 14.1526i −0.632268 0.806421i
\(309\) 14.9947 36.2004i 0.853018 2.05937i
\(310\) 3.55914 + 1.50265i 0.202146 + 0.0853450i
\(311\) −5.00588 1.34132i −0.283857 0.0760593i 0.114081 0.993471i \(-0.463608\pi\)
−0.397938 + 0.917412i \(0.630274\pi\)
\(312\) 2.65268 9.14978i 0.150178 0.518004i
\(313\) 11.4972 3.08065i 0.649858 0.174129i 0.0811932 0.996698i \(-0.474127\pi\)
0.568665 + 0.822570i \(0.307460\pi\)
\(314\) −2.57175 + 3.30484i −0.145132 + 0.186503i
\(315\) −5.04353 + 47.0105i −0.284171 + 2.64874i
\(316\) −21.1194 12.5789i −1.18806 0.707620i
\(317\) −10.5940 1.39473i −0.595020 0.0783359i −0.172999 0.984922i \(-0.555346\pi\)
−0.422021 + 0.906586i \(0.638679\pi\)
\(318\) −2.90025 + 4.94547i −0.162638 + 0.277328i
\(319\) 7.01939 + 12.1579i 0.393010 + 0.680714i
\(320\) 21.5950 15.2135i 1.20720 0.850461i
\(321\) −33.8102 −1.88710
\(322\) −23.0096 + 23.8165i −1.28228 + 1.32724i
\(323\) −4.47525 10.8042i −0.249009 0.601162i
\(324\) −7.07574 + 3.95798i −0.393097 + 0.219888i
\(325\) −0.894774 6.79648i −0.0496331 0.377001i
\(326\) −16.8447 2.33418i −0.932942 0.129278i
\(327\) −52.6120 + 14.0974i −2.90945 + 0.779586i
\(328\) −1.61298 + 1.54853i −0.0890618 + 0.0855034i
\(329\) 0.108385 + 4.51077i 0.00597545 + 0.248687i
\(330\) −5.69799 45.6764i −0.313664 2.51440i
\(331\) 5.45369 + 7.10739i 0.299762 + 0.390658i 0.918813 0.394693i \(-0.129149\pi\)
−0.619051 + 0.785351i \(0.712483\pi\)
\(332\) 13.3178 5.30557i 0.730908 0.291181i
\(333\) −3.74681 2.87503i −0.205324 0.157551i
\(334\) −5.79787 5.87719i −0.317246 0.321586i
\(335\) 9.95476i 0.543887i
\(336\) 30.4190 + 4.10232i 1.65949 + 0.223800i
\(337\) 7.11474i 0.387565i −0.981045 0.193782i \(-0.937924\pi\)
0.981045 0.193782i \(-0.0620756\pi\)
\(338\) 11.7303 11.5720i 0.638044 0.629433i
\(339\) −11.8321 9.07907i −0.642630 0.493107i
\(340\) 5.91442 13.7473i 0.320755 0.745553i
\(341\) −1.71171 2.23074i −0.0926941 0.120801i
\(342\) 39.1928 4.88918i 2.11930 0.264377i
\(343\) 18.4722 1.33360i 0.997404 0.0720078i
\(344\) −12.9103 + 29.4556i −0.696078 + 1.58814i
\(345\) −81.8730 + 21.9378i −4.40789 + 1.18109i
\(346\) 2.58326 18.6423i 0.138877 1.00221i
\(347\) −2.83848 21.5604i −0.152377 1.15742i −0.881209 0.472728i \(-0.843269\pi\)
0.728831 0.684693i \(-0.240064\pi\)
\(348\) −23.0580 6.51541i −1.23604 0.349263i
\(349\) 4.85008 + 11.7091i 0.259619 + 0.626775i 0.998913 0.0466071i \(-0.0148409\pi\)
−0.739295 + 0.673382i \(0.764841\pi\)
\(350\) 21.2328 6.08328i 1.13494 0.325165i
\(351\) 8.12397 0.433625
\(352\) −19.1354 + 1.86064i −1.01992 + 0.0991724i
\(353\) 3.95854 + 6.85640i 0.210692 + 0.364929i 0.951931 0.306312i \(-0.0990950\pi\)
−0.741239 + 0.671241i \(0.765762\pi\)
\(354\) −27.8219 16.3160i −1.47872 0.867186i
\(355\) 43.7707 + 5.76252i 2.32311 + 0.305843i
\(356\) −6.13579 + 1.55504i −0.325196 + 0.0824170i
\(357\) 15.9014 7.03871i 0.841591 0.372528i
\(358\) 22.9215 + 17.8370i 1.21144 + 0.942714i
\(359\) 22.7767 6.10299i 1.20211 0.322103i 0.398446 0.917192i \(-0.369550\pi\)
0.803660 + 0.595089i \(0.202883\pi\)
\(360\) 39.4645 + 31.5806i 2.07996 + 1.66444i
\(361\) −7.37013 1.97482i −0.387902 0.103938i
\(362\) −0.279844 + 0.662830i −0.0147083 + 0.0348376i
\(363\) −0.611395 + 1.47604i −0.0320899 + 0.0774720i
\(364\) −4.91391 3.68975i −0.257559 0.193395i
\(365\) −21.4044 + 8.86601i −1.12036 + 0.464068i
\(366\) 5.43071 5.35742i 0.283868 0.280037i
\(367\) 6.70380 3.87044i 0.349936 0.202035i −0.314721 0.949184i \(-0.601911\pi\)
0.664657 + 0.747149i \(0.268578\pi\)
\(368\) 8.23027 + 34.4325i 0.429033 + 1.79492i
\(369\) −3.70522 2.13921i −0.192886 0.111363i
\(370\) −1.08140 + 3.92887i −0.0562193 + 0.204252i
\(371\) 2.32109 + 2.87897i 0.120505 + 0.149469i
\(372\) 4.74904 + 0.690991i 0.246226 + 0.0358262i
\(373\) −13.1177 17.0953i −0.679208 0.885161i 0.318828 0.947813i \(-0.396711\pi\)
−0.998035 + 0.0626521i \(0.980044\pi\)
\(374\) −8.68615 + 6.57184i −0.449150 + 0.339822i
\(375\) 8.35345 + 2.23830i 0.431370 + 0.115585i
\(376\) 4.12735 + 2.49644i 0.212852 + 0.128744i
\(377\) 3.39194 + 3.39194i 0.174694 + 0.174694i
\(378\) 3.86316 + 25.8886i 0.198700 + 1.33157i
\(379\) 15.4541 + 6.40132i 0.793826 + 0.328814i 0.742481 0.669867i \(-0.233649\pi\)
0.0513454 + 0.998681i \(0.483649\pi\)
\(380\) −16.6370 29.7423i −0.853462 1.52575i
\(381\) −2.26342 + 2.94975i −0.115959 + 0.151120i
\(382\) 16.9238 28.8583i 0.865896 1.47652i
\(383\) −13.3014 + 23.0387i −0.679669 + 1.17722i 0.295411 + 0.955370i \(0.404543\pi\)
−0.975080 + 0.221852i \(0.928790\pi\)
\(384\) 21.1907 25.0538i 1.08138 1.27852i
\(385\) −28.8559 6.99355i −1.47063 0.356424i
\(386\) 2.62299 + 4.61528i 0.133507 + 0.234912i
\(387\) −61.0107 8.03221i −3.10135 0.408300i
\(388\) −12.1466 0.165054i −0.616649 0.00837933i
\(389\) 0.948980 + 7.20822i 0.0481152 + 0.365471i 0.998517 + 0.0544456i \(0.0173392\pi\)
−0.950402 + 0.311026i \(0.899328\pi\)
\(390\) −5.92007 14.5715i −0.299774 0.737858i
\(391\) 14.1824 + 14.1824i 0.717234 + 0.717234i
\(392\) 9.42141 17.4137i 0.475853 0.879525i
\(393\) 26.7367 26.7367i 1.34869 1.34869i
\(394\) 21.3421 + 9.01053i 1.07520 + 0.453944i
\(395\) −40.2367 + 5.29727i −2.02453 + 0.266534i
\(396\) −13.6147 34.1749i −0.684165 1.71736i
\(397\) 3.37820 25.6599i 0.169547 1.28784i −0.669105 0.743168i \(-0.733322\pi\)
0.838652 0.544668i \(-0.183344\pi\)
\(398\) −4.67462 + 16.9835i −0.234317 + 0.851307i
\(399\) 9.32724 38.4849i 0.466946 1.92666i
\(400\) 6.72873 22.6331i 0.336436 1.13165i
\(401\) 14.8385 + 8.56703i 0.741001 + 0.427817i 0.822433 0.568862i \(-0.192616\pi\)
−0.0814324 + 0.996679i \(0.525949\pi\)
\(402\) 3.11928 + 11.9659i 0.155576 + 0.596805i
\(403\) −0.762225 0.584875i −0.0379691 0.0291347i
\(404\) −0.160992 1.36604i −0.00800964 0.0679629i
\(405\) −5.12237 + 12.3665i −0.254533 + 0.614496i
\(406\) −9.19613 + 12.4220i −0.456396 + 0.616496i
\(407\) 2.09715 2.09715i 0.103952 0.103952i
\(408\) 2.80164 18.3779i 0.138702 0.909843i
\(409\) 9.50210 35.4623i 0.469848 1.75350i −0.170444 0.985367i \(-0.554520\pi\)
0.640293 0.768131i \(-0.278813\pi\)
\(410\) −0.506703 + 3.65665i −0.0250243 + 0.180589i
\(411\) 13.0429 10.0082i 0.643359 0.493667i
\(412\) −26.1915 + 6.63792i −1.29036 + 0.327027i
\(413\) −16.1963 + 13.0578i −0.796969 + 0.642532i
\(414\) −58.8935 + 33.4708i −2.89446 + 1.64500i
\(415\) 11.8340 20.4971i 0.580909 1.00616i
\(416\) −6.15108 + 2.30637i −0.301581 + 0.113079i
\(417\) −17.3003 29.9651i −0.847201 1.46739i
\(418\) −0.168508 + 24.8027i −0.00824199 + 1.21314i
\(419\) 3.90155 + 9.41917i 0.190603 + 0.460157i 0.990074 0.140548i \(-0.0448866\pi\)
−0.799471 + 0.600705i \(0.794887\pi\)
\(420\) 43.6199 25.7946i 2.12843 1.25865i
\(421\) 1.86479 + 0.772420i 0.0908842 + 0.0376455i 0.427662 0.903939i \(-0.359337\pi\)
−0.336778 + 0.941584i \(0.609337\pi\)
\(422\) 15.4209 6.26515i 0.750678 0.304983i
\(423\) −2.38881 + 8.91515i −0.116148 + 0.433469i
\(424\) 3.92931 0.436037i 0.190824 0.0211759i
\(425\) −3.46227 12.9214i −0.167945 0.626779i
\(426\) 54.4193 6.78865i 2.63662 0.328911i
\(427\) −1.99172 4.49958i −0.0963863 0.217750i
\(428\) 13.9404 + 18.6878i 0.673834 + 0.903311i
\(429\) −1.49415 + 11.3492i −0.0721384 + 0.547946i
\(430\) 13.3937 + 51.3797i 0.645902 + 2.47775i
\(431\) −20.8085 + 12.0138i −1.00231 + 0.578684i −0.908931 0.416946i \(-0.863100\pi\)
−0.0933793 + 0.995631i \(0.529767\pi\)
\(432\) 25.5520 + 11.4070i 1.22937 + 0.548818i
\(433\) 36.1557i 1.73753i −0.495223 0.868766i \(-0.664914\pi\)
0.495223 0.868766i \(-0.335086\pi\)
\(434\) 1.50136 2.70710i 0.0720677 0.129945i
\(435\) −36.5477 + 15.1386i −1.75233 + 0.725839i
\(436\) 29.4847 + 23.2676i 1.41206 + 1.11432i
\(437\) 45.2823 5.96153i 2.16615 0.285179i
\(438\) −22.9506 + 17.3642i −1.09662 + 0.829693i
\(439\) 5.88443 + 21.9610i 0.280849 + 1.04814i 0.951820 + 0.306658i \(0.0992108\pi\)
−0.670971 + 0.741483i \(0.734123\pi\)
\(440\) −22.8973 + 21.9824i −1.09159 + 1.04797i
\(441\) 37.0218 + 8.03628i 1.76294 + 0.382680i
\(442\) −2.28566 + 2.93720i −0.108718 + 0.139708i
\(443\) −4.21481 + 3.23414i −0.200252 + 0.153659i −0.704020 0.710180i \(-0.748613\pi\)
0.503768 + 0.863839i \(0.331947\pi\)
\(444\) −0.0687778 + 5.06147i −0.00326405 + 0.240207i
\(445\) −6.36178 + 8.29084i −0.301577 + 0.393023i
\(446\) 4.64325 + 0.0315460i 0.219864 + 0.00149374i
\(447\) −8.71119 −0.412025
\(448\) −10.2747 18.5049i −0.485434 0.874273i
\(449\) −4.81471 −0.227220 −0.113610 0.993525i \(-0.536241\pi\)
−0.113610 + 0.993525i \(0.536241\pi\)
\(450\) 45.1791 + 0.306944i 2.12976 + 0.0144695i
\(451\) 1.63561 2.13156i 0.0770177 0.100371i
\(452\) −0.139735 + 10.2833i −0.00657259 + 0.483688i
\(453\) −9.13810 + 7.01191i −0.429345 + 0.329448i
\(454\) −8.89839 + 11.4349i −0.417622 + 0.536667i
\(455\) −10.1423 + 0.243700i −0.475480 + 0.0114249i
\(456\) −29.3178 30.5379i −1.37293 1.43007i
\(457\) 7.07254 + 26.3951i 0.330839 + 1.23471i 0.908310 + 0.418298i \(0.137373\pi\)
−0.577470 + 0.816412i \(0.695960\pi\)
\(458\) 4.17570 3.15929i 0.195118 0.147624i
\(459\) 15.7176 2.06926i 0.733635 0.0965849i
\(460\) 45.8830 + 36.2083i 2.13931 + 1.68822i
\(461\) 9.84179 4.07660i 0.458378 0.189866i −0.141532 0.989934i \(-0.545203\pi\)
0.599910 + 0.800067i \(0.295203\pi\)
\(462\) −36.8771 + 0.635439i −1.71568 + 0.0295633i
\(463\) 27.0212i 1.25578i 0.778302 + 0.627890i \(0.216081\pi\)
−0.778302 + 0.627890i \(0.783919\pi\)
\(464\) 5.90586 + 15.4312i 0.274173 + 0.716375i
\(465\) 6.86166 3.96158i 0.318202 0.183714i
\(466\) 2.50188 + 9.59749i 0.115897 + 0.444595i
\(467\) −4.62799 + 35.1531i −0.214158 + 1.62669i 0.459870 + 0.887986i \(0.347896\pi\)
−0.674028 + 0.738705i \(0.735437\pi\)
\(468\) −7.51582 10.0754i −0.347419 0.465734i
\(469\) 7.93088 + 0.850865i 0.366214 + 0.0392893i
\(470\) 7.90246 0.985808i 0.364513 0.0454719i
\(471\) 2.22277 + 8.29550i 0.102420 + 0.382236i
\(472\) 2.45303 + 22.1053i 0.112910 + 1.01748i
\(473\) 10.0019 37.3276i 0.459888 1.71633i
\(474\) −46.7058 + 18.9755i −2.14527 + 0.871572i
\(475\) −28.1434 11.6574i −1.29131 0.534877i
\(476\) −10.4469 5.88700i −0.478831 0.269830i
\(477\) 2.89486 + 6.98880i 0.132546 + 0.319995i
\(478\) 0.209287 30.8049i 0.00957255 1.40898i
\(479\) −14.7999 25.6342i −0.676225 1.17126i −0.976109 0.217281i \(-0.930281\pi\)
0.299884 0.953976i \(-0.403052\pi\)
\(480\) 1.83992 54.1436i 0.0839806 2.47131i
\(481\) 0.506697 0.877624i 0.0231034 0.0400162i
\(482\) 32.6531 18.5577i 1.48731 0.845278i
\(483\) 10.4797 + 67.1026i 0.476844 + 3.05328i
\(484\) 1.06794 0.270655i 0.0485425 0.0123025i
\(485\) −15.9112 + 12.2091i −0.722492 + 0.554387i
\(486\) 1.79159 12.9291i 0.0812683 0.586476i
\(487\) −0.964086 + 3.59802i −0.0436869 + 0.163042i −0.984323 0.176375i \(-0.943563\pi\)
0.940636 + 0.339417i \(0.110230\pi\)
\(488\) −5.20035 0.792773i −0.235409 0.0358871i
\(489\) −24.6611 + 24.6611i −1.11521 + 1.11521i
\(490\) −5.59955 32.2047i −0.252962 1.45486i
\(491\) 1.81367 4.37859i 0.0818498 0.197603i −0.877656 0.479290i \(-0.840894\pi\)
0.959506 + 0.281687i \(0.0908941\pi\)
\(492\) 0.536723 + 4.55417i 0.0241974 + 0.205318i
\(493\) 7.42642 + 5.69849i 0.334469 + 0.256647i
\(494\) 2.13784 + 8.20099i 0.0961860 + 0.368980i
\(495\) −52.5980 30.3675i −2.36410 1.36492i
\(496\) −1.57616 2.90983i −0.0707718 0.130655i
\(497\) 8.33218 34.3792i 0.373749 1.54212i
\(498\) 7.80215 28.3463i 0.349623 1.27023i
\(499\) −1.21831 + 9.25400i −0.0545391 + 0.414266i 0.942297 + 0.334779i \(0.108662\pi\)
−0.996836 + 0.0794872i \(0.974672\pi\)
\(500\) −2.20707 5.54007i −0.0987031 0.247760i
\(501\) −16.7864 + 2.20997i −0.749961 + 0.0987343i
\(502\) 19.7572 + 8.34141i 0.881808 + 0.372296i
\(503\) −1.64754 + 1.64754i −0.0734604 + 0.0734604i −0.742882 0.669422i \(-0.766542\pi\)
0.669422 + 0.742882i \(0.266542\pi\)
\(504\) 28.5331 28.7417i 1.27097 1.28026i
\(505\) −1.60578 1.60578i −0.0714563 0.0714563i
\(506\) −16.0119 39.4114i −0.711816 1.75205i
\(507\) −4.41088 33.5040i −0.195894 1.48796i
\(508\) 2.56365 + 0.0348362i 0.113744 + 0.00154561i
\(509\) −20.5470 2.70507i −0.910730 0.119900i −0.339421 0.940635i \(-0.610231\pi\)
−0.571310 + 0.820735i \(0.693564\pi\)
\(510\) −15.1652 26.6839i −0.671526 1.18158i
\(511\) 5.23397 + 17.8106i 0.231537 + 0.787893i
\(512\) −22.5851 1.38268i −0.998131 0.0611064i
\(513\) 18.0503 31.2640i 0.796939 1.38034i
\(514\) −14.4178 + 24.5850i −0.635940 + 1.08440i
\(515\) −27.1562 + 35.3906i −1.19664 + 1.55950i
\(516\) 32.1992 + 57.5630i 1.41749 + 2.53407i
\(517\) −5.35487 2.21806i −0.235507 0.0975502i
\(518\) 3.03767 + 1.19736i 0.133468 + 0.0526088i
\(519\) −27.2928 27.2928i −1.19802 1.19802i
\(520\) −5.61317 + 9.28022i −0.246154 + 0.406965i
\(521\) −38.6319 10.3514i −1.69249 0.453503i −0.721463 0.692453i \(-0.756530\pi\)
−0.971032 + 0.238951i \(0.923197\pi\)
\(522\) −25.2121 + 19.0752i −1.10351 + 0.834900i
\(523\) −5.99843 7.81730i −0.262293 0.341827i 0.643578 0.765380i \(-0.277449\pi\)
−0.905871 + 0.423554i \(0.860783\pi\)
\(524\) −25.8020 3.75422i −1.12717 0.164004i
\(525\) 16.3243 42.2537i 0.712451 1.84410i
\(526\) −2.89457 + 10.5164i −0.126209 + 0.458535i
\(527\) −1.62367 0.937423i −0.0707280 0.0408348i
\(528\) −20.6351 + 33.5983i −0.898027 + 1.46218i
\(529\) −47.9202 + 27.6667i −2.08349 + 1.20290i
\(530\) 4.64658 4.58387i 0.201835 0.199111i
\(531\) −39.3171 + 16.2857i −1.70622 + 0.706738i
\(532\) −25.1175 + 10.7124i −1.08898 + 0.464443i
\(533\) 0.351322 0.848167i 0.0152175 0.0367382i
\(534\) −5.04915 + 11.9593i −0.218498 + 0.517528i
\(535\) 37.1805 + 9.96247i 1.60745 + 0.430715i
\(536\) 5.32777 6.65782i 0.230125 0.287574i
\(537\) 57.5353 15.4165i 2.48283 0.665273i
\(538\) −24.7739 19.2785i −1.06808 0.831154i
\(539\) −8.03811 + 22.3915i −0.346226 + 0.964471i
\(540\) 44.7830 11.3497i 1.92715 0.488413i
\(541\) −24.1035 3.17328i −1.03629 0.136430i −0.406862 0.913490i \(-0.633377\pi\)
−0.629427 + 0.777059i \(0.716710\pi\)
\(542\) −2.40688 1.41150i −0.103384 0.0606293i
\(543\) 0.737778 + 1.27787i 0.0316611 + 0.0548386i
\(544\) −11.3132 + 6.02892i −0.485048 + 0.258488i
\(545\) 62.0105 2.65624
\(546\) −12.1150 + 3.47099i −0.518475 + 0.148545i
\(547\) −10.7474 25.9464i −0.459524 1.10939i −0.968590 0.248662i \(-0.920009\pi\)
0.509066 0.860727i \(-0.329991\pi\)
\(548\) −10.9096 3.08268i −0.466034 0.131685i
\(549\) −1.31381 9.97937i −0.0560720 0.425909i
\(550\) −3.89437 + 28.1039i −0.166056 + 1.19835i
\(551\) 20.5898 5.51702i 0.877156 0.235033i
\(552\) 66.4984 + 29.1461i 2.83036 + 1.24054i
\(553\) 0.781128 + 32.5091i 0.0332170 + 1.38243i
\(554\) 4.12391 0.514445i 0.175208 0.0218567i
\(555\) 5.08753 + 6.63020i 0.215954 + 0.281436i
\(556\) −9.42937 + 21.9174i −0.399895 + 0.929504i
\(557\) −3.80158 2.91706i −0.161078 0.123600i 0.525077 0.851055i \(-0.324036\pi\)
−0.686156 + 0.727455i \(0.740703\pi\)
\(558\) 4.50779 4.44695i 0.190830 0.188254i
\(559\) 13.2045i 0.558489i
\(560\) −32.2425 13.4745i −1.36249 0.569401i
\(561\) 22.3382i 0.943118i
\(562\) −4.73239 4.79714i −0.199624 0.202355i
\(563\) 20.8314 + 15.9845i 0.877940 + 0.673667i 0.946053 0.324011i \(-0.105031\pi\)
−0.0681136 + 0.997678i \(0.521698\pi\)
\(564\) 9.19008 3.66117i 0.386972 0.154163i
\(565\) 10.3363 + 13.4705i 0.434851 + 0.566709i
\(566\) −4.66710 37.4126i −0.196173 1.57257i
\(567\) 9.41446 + 5.13795i 0.395370 + 0.215774i
\(568\) −26.1901 27.2801i −1.09891 1.14465i
\(569\) 11.8607 3.17806i 0.497226 0.133231i −0.00148633 0.999999i \(-0.500473\pi\)
0.498712 + 0.866768i \(0.333806\pi\)
\(570\) −69.2300 9.59323i −2.89973 0.401816i
\(571\) −0.829659 6.30189i −0.0347202 0.263726i −0.999997 0.00249634i \(-0.999205\pi\)
0.965277 0.261230i \(-0.0841279\pi\)
\(572\) 6.88910 3.85358i 0.288048 0.161126i
\(573\) −26.2561 63.3879i −1.09687 2.64807i
\(574\) 2.86991 + 0.716232i 0.119788 + 0.0298949i
\(575\) 52.2454 2.17878
\(576\) −9.49226 42.2427i −0.395511 1.76011i
\(577\) 18.9428 + 32.8098i 0.788598 + 1.36589i 0.926826 + 0.375491i \(0.122526\pi\)
−0.138228 + 0.990400i \(0.544141\pi\)
\(578\) 8.48801 14.4737i 0.353055 0.602026i
\(579\) 10.7940 + 1.42105i 0.448582 + 0.0590569i
\(580\) 23.4366 + 13.9591i 0.973154 + 0.579622i
\(581\) −15.3184 11.1800i −0.635515 0.463826i
\(582\) −15.3001 + 19.6614i −0.634209 + 0.814992i
\(583\) −4.58860 + 1.22951i −0.190040 + 0.0509212i
\(584\) 19.0605 + 5.52597i 0.788731 + 0.228666i
\(585\) −20.0455 5.37117i −0.828778 0.222070i
\(586\) −29.9046 12.6256i −1.23535 0.521559i
\(587\) −7.57680 + 18.2920i −0.312728 + 0.754993i 0.686874 + 0.726777i \(0.258983\pi\)
−0.999602 + 0.0282158i \(0.991017\pi\)
\(588\) −16.8220 36.9564i −0.693728 1.52405i
\(589\) −3.94437 + 1.63381i −0.162525 + 0.0673199i
\(590\) 25.7876 + 26.1404i 1.06166 + 1.07618i
\(591\) 41.1453 23.7553i 1.69249 0.977161i
\(592\) 2.82598 2.04890i 0.116147 0.0842091i
\(593\) −36.6933 21.1849i −1.50681 0.869959i −0.999969 0.00792205i \(-0.997478\pi\)
−0.506845 0.862037i \(-0.669188\pi\)
\(594\) −32.4184 8.92298i −1.33014 0.366114i
\(595\) −19.5605 + 3.05486i −0.801903 + 0.125237i
\(596\) 3.59174 + 4.81492i 0.147123 + 0.197227i
\(597\) 21.9921 + 28.6607i 0.900078 + 1.17300i
\(598\) −8.77010 11.5916i −0.358636 0.474017i
\(599\) −1.06266 0.284739i −0.0434191 0.0116341i 0.237044 0.971499i \(-0.423821\pi\)
−0.280463 + 0.959865i \(0.590488\pi\)
\(600\) −28.6902 39.0109i −1.17127 1.59261i
\(601\) −11.6696 11.6696i −0.476014 0.476014i 0.427840 0.903854i \(-0.359275\pi\)
−0.903854 + 0.427840i \(0.859275\pi\)
\(602\) 42.0786 6.27907i 1.71500 0.255916i
\(603\) 15.0741 + 6.24388i 0.613864 + 0.254271i
\(604\) 7.64344 + 2.15978i 0.311007 + 0.0878802i
\(605\) 1.10727 1.44302i 0.0450169 0.0586672i
\(606\) −2.43336 1.42703i −0.0988485 0.0579692i
\(607\) 16.5505 28.6664i 0.671765 1.16353i −0.305638 0.952148i \(-0.598870\pi\)
0.977403 0.211384i \(-0.0677970\pi\)
\(608\) −4.79105 + 28.7960i −0.194303 + 1.16783i
\(609\) 8.93693 + 30.4112i 0.362143 + 1.23233i
\(610\) −7.55068 + 4.29125i −0.305718 + 0.173748i
\(611\) −1.96353 0.258503i −0.0794357 0.0104579i
\(612\) −17.1073 17.5786i −0.691522 0.710574i
\(613\) −4.85502 36.8775i −0.196092 1.48947i −0.752518 0.658572i \(-0.771161\pi\)
0.556426 0.830897i \(-0.312172\pi\)
\(614\) −38.1806 + 15.5119i −1.54084 + 0.626007i
\(615\) 5.35344 + 5.35344i 0.215872 + 0.215872i
\(616\) 15.5561 + 20.1210i 0.626774 + 0.810698i
\(617\) −16.3584 + 16.3584i −0.658565 + 0.658565i −0.955040 0.296476i \(-0.904189\pi\)
0.296476 + 0.955040i \(0.404189\pi\)
\(618\) −21.5530 + 51.0498i −0.866989 + 2.05353i
\(619\) 25.8960 3.40927i 1.04085 0.137030i 0.409325 0.912389i \(-0.365764\pi\)
0.631521 + 0.775358i \(0.282431\pi\)
\(620\) −5.01883 2.15922i −0.201561 0.0867163i
\(621\) −8.08162 + 61.3860i −0.324304 + 2.46334i
\(622\) 7.06633 + 1.94497i 0.283334 + 0.0779860i
\(623\) 6.06148 + 5.77703i 0.242848 + 0.231452i
\(624\) −3.83928 + 12.9140i −0.153694 + 0.516972i
\(625\) 17.0342 + 9.83472i 0.681369 + 0.393389i
\(626\) −16.2887 + 4.24614i −0.651026 + 0.169710i
\(627\) 40.3562 + 30.9664i 1.61167 + 1.23668i
\(628\) 3.66868 4.64893i 0.146396 0.185513i
\(629\) 0.756776 1.82702i 0.0301746 0.0728480i
\(630\) 7.58414 66.4330i 0.302159 2.64675i
\(631\) 18.4986 18.4986i 0.736416 0.736416i −0.235466 0.971883i \(-0.575662\pi\)
0.971883 + 0.235466i \(0.0756617\pi\)
\(632\) 29.7457 + 17.9918i 1.18322 + 0.715675i
\(633\) 8.83517 32.9733i 0.351166 1.31057i
\(634\) 14.9685 + 2.07419i 0.594474 + 0.0823765i
\(635\) 3.35822 2.57685i 0.133267 0.102259i
\(636\) 4.14899 6.96593i 0.164518 0.276217i
\(637\) −0.672744 + 8.10115i −0.0266551 + 0.320979i
\(638\) −9.80987 17.2610i −0.388376 0.683368i
\(639\) 36.1801 62.6657i 1.43126 2.47902i
\(640\) −30.6854 + 21.3072i −1.21295 + 0.842240i
\(641\) 4.65760 + 8.06719i 0.183964 + 0.318635i 0.943227 0.332149i \(-0.107774\pi\)
−0.759263 + 0.650784i \(0.774440\pi\)
\(642\) 47.8137 + 0.324843i 1.88706 + 0.0128205i
\(643\) 9.24993 + 22.3313i 0.364782 + 0.880661i 0.994587 + 0.103908i \(0.0331347\pi\)
−0.629805 + 0.776753i \(0.716865\pi\)
\(644\) 32.7686 33.4598i 1.29126 1.31850i
\(645\) 100.605 + 41.6718i 3.96131 + 1.64083i
\(646\) 6.22500 + 15.3221i 0.244919 + 0.602840i
\(647\) 1.81036 6.75636i 0.0711727 0.265620i −0.921166 0.389171i \(-0.872762\pi\)
0.992338 + 0.123551i \(0.0394282\pi\)
\(648\) 10.0444 5.52932i 0.394582 0.217212i
\(649\) −6.91690 25.8142i −0.271512 1.01330i
\(650\) 1.20007 + 9.62005i 0.0470707 + 0.377329i
\(651\) −2.56967 5.80524i −0.100713 0.227525i
\(652\) 23.7990 + 3.46279i 0.932042 + 0.135613i
\(653\) 0.206028 1.56494i 0.00806252 0.0612409i −0.986941 0.161084i \(-0.948501\pi\)
0.995003 + 0.0998435i \(0.0318342\pi\)
\(654\) 74.5384 19.4307i 2.91468 0.759801i
\(655\) −37.2801 + 21.5237i −1.45665 + 0.840999i
\(656\) 2.29592 2.17441i 0.0896407 0.0848964i
\(657\) 37.9728i 1.48146i
\(658\) −0.109937 6.38009i −0.00428579 0.248722i
\(659\) 38.2118 15.8279i 1.48852 0.616566i 0.517527 0.855667i \(-0.326853\pi\)
0.970995 + 0.239101i \(0.0768526\pi\)
\(660\) 7.61914 + 64.6494i 0.296575 + 2.51648i
\(661\) −21.6338 + 2.84815i −0.841458 + 0.110780i −0.538920 0.842357i \(-0.681167\pi\)
−0.302538 + 0.953137i \(0.597834\pi\)
\(662\) −7.64422 10.1035i −0.297101 0.392685i
\(663\) 1.97550 + 7.37268i 0.0767222 + 0.286331i
\(664\) −18.8847 + 7.37508i −0.732869 + 0.286209i
\(665\) −21.5970 + 39.5729i −0.837494 + 1.53457i
\(666\) 5.27104 + 4.10181i 0.204249 + 0.158942i
\(667\) −29.0043 + 22.2558i −1.12305 + 0.861747i
\(668\) 8.14278 + 8.36712i 0.315053 + 0.323734i
\(669\) 5.79714 7.55498i 0.224130 0.292092i
\(670\) 0.0956439 14.0778i 0.00369505 0.543874i
\(671\) 6.32097 0.244018
\(672\) −42.9785 6.09368i −1.65793 0.235069i
\(673\) 23.3493 0.900048 0.450024 0.893016i \(-0.351415\pi\)
0.450024 + 0.893016i \(0.351415\pi\)
\(674\) −0.0683575 + 10.0615i −0.00263303 + 0.387556i
\(675\) 25.1391 32.7619i 0.967603 1.26100i
\(676\) −16.6999 + 16.2522i −0.642305 + 0.625083i
\(677\) −21.6679 + 16.6264i −0.832765 + 0.639003i −0.934561 0.355802i \(-0.884208\pi\)
0.101796 + 0.994805i \(0.467541\pi\)
\(678\) 16.6455 + 12.9531i 0.639265 + 0.497462i
\(679\) 8.36692 + 13.7199i 0.321093 + 0.526522i
\(680\) −8.49614 + 19.3844i −0.325812 + 0.743357i
\(681\) 7.69089 + 28.7028i 0.294716 + 1.09989i
\(682\) 2.39923 + 3.17111i 0.0918713 + 0.121428i
\(683\) 45.3740 5.97360i 1.73619 0.228574i 0.805042 0.593218i \(-0.202143\pi\)
0.931147 + 0.364645i \(0.118810\pi\)
\(684\) −55.4727 + 6.53763i −2.12105 + 0.249973i
\(685\) −17.2921 + 7.16261i −0.660696 + 0.273669i
\(686\) −26.1358 + 1.70848i −0.997870 + 0.0652300i
\(687\) 10.7386i 0.409705i
\(688\) 18.5405 41.5314i 0.706852 1.58337i
\(689\) −1.40573 + 0.811597i −0.0535540 + 0.0309194i
\(690\) 115.994 30.2374i 4.41582 1.15112i
\(691\) 4.10224 31.1596i 0.156057 1.18537i −0.716760 0.697320i \(-0.754376\pi\)
0.872817 0.488048i \(-0.162291\pi\)
\(692\) −3.83232 + 26.3387i −0.145683 + 1.00125i
\(693\) −28.6892 + 39.3088i −1.08981 + 1.49322i
\(694\) 3.80697 + 30.5175i 0.144511 + 1.15843i
\(695\) 10.1954 + 38.0498i 0.386734 + 1.44331i
\(696\) 32.5456 + 9.43551i 1.23364 + 0.357652i
\(697\) 0.463673 1.73045i 0.0175629 0.0655455i
\(698\) −6.74639 16.6054i −0.255355 0.628524i
\(699\) 18.7925 + 7.78410i 0.710797 + 0.294422i
\(700\) −30.0855 + 8.39885i −1.13713 + 0.317447i
\(701\) 0.665127 + 1.60576i 0.0251215 + 0.0606487i 0.935942 0.352153i \(-0.114550\pi\)
−0.910821 + 0.412802i \(0.864550\pi\)
\(702\) −11.4888 0.0780540i −0.433615 0.00294596i
\(703\) −2.25161 3.89991i −0.0849212 0.147088i
\(704\) 27.0789 2.44743i 1.02057 0.0922410i
\(705\) 8.16620 14.1443i 0.307557 0.532704i
\(706\) −5.53222 9.73422i −0.208208 0.366352i
\(707\) −1.41656 + 1.14206i −0.0532754 + 0.0429517i
\(708\) 39.1884 + 23.3411i 1.47279 + 0.877212i
\(709\) 20.1004 15.4236i 0.754885 0.579244i −0.158010 0.987437i \(-0.550508\pi\)
0.912895 + 0.408194i \(0.133841\pi\)
\(710\) −61.8444 8.56980i −2.32098 0.321619i
\(711\) −17.2161 + 64.2514i −0.645654 + 2.40961i
\(712\) 8.69205 2.14016i 0.325749 0.0802058i
\(713\) 5.17766 5.17766i 0.193905 0.193905i
\(714\) −22.5551 + 9.80123i −0.844103 + 0.366802i
\(715\) 4.98725 12.0403i 0.186513 0.450281i
\(716\) −32.2437 25.4450i −1.20501 0.950922i
\(717\) −50.1223 38.4602i −1.87185 1.43632i
\(718\) −32.2689 + 8.41189i −1.20427 + 0.313929i
\(719\) 39.9966 + 23.0921i 1.49162 + 0.861189i 0.999954 0.00959402i \(-0.00305392\pi\)
0.491668 + 0.870783i \(0.336387\pi\)
\(720\) −55.5065 45.0398i −2.06860 1.67853i
\(721\) 25.8743 + 24.6601i 0.963609 + 0.918389i
\(722\) 10.4037 + 2.86356i 0.387187 + 0.106571i
\(723\) 10.0539 76.3673i 0.373910 2.84013i
\(724\) 0.402118 0.934673i 0.0149446 0.0347368i
\(725\) 24.1749 3.18269i 0.897834 0.118202i
\(726\) 0.878805 2.08151i 0.0326155 0.0772522i
\(727\) −5.06009 + 5.06009i −0.187668 + 0.187668i −0.794687 0.607019i \(-0.792365\pi\)
0.607019 + 0.794687i \(0.292365\pi\)
\(728\) 6.91370 + 5.26518i 0.256239 + 0.195141i
\(729\) −27.5279 27.5279i −1.01955 1.01955i
\(730\) 30.3549 12.3325i 1.12349 0.456446i
\(731\) −3.36332 25.5469i −0.124397 0.944888i
\(732\) −7.73149 + 7.52418i −0.285764 + 0.278102i
\(733\) −18.1131 2.38464i −0.669023 0.0880786i −0.211639 0.977348i \(-0.567880\pi\)
−0.457384 + 0.889269i \(0.651214\pi\)
\(734\) −9.51758 + 5.40910i −0.351300 + 0.199653i
\(735\) −59.5995 30.6920i −2.19836 1.13209i
\(736\) −11.3083 48.7729i −0.416829 1.79779i
\(737\) −5.12312 + 8.87350i −0.188712 + 0.326859i
\(738\) 5.21929 + 3.06083i 0.192125 + 0.112671i
\(739\) 23.8823 31.1240i 0.878525 1.14492i −0.110011 0.993930i \(-0.535089\pi\)
0.988536 0.150985i \(-0.0482446\pi\)
\(740\) 1.56704 5.54575i 0.0576056 0.203866i
\(741\) 16.0580 + 6.65146i 0.589907 + 0.244347i
\(742\) −3.25477 4.09369i −0.119487 0.150284i
\(743\) −26.4658 26.4658i −0.970935 0.970935i 0.0286546 0.999589i \(-0.490878\pi\)
−0.999589 + 0.0286546i \(0.990878\pi\)
\(744\) −6.70936 1.02281i −0.245977 0.0374982i
\(745\) 9.57955 + 2.56683i 0.350968 + 0.0940415i
\(746\) 18.3865 + 24.3019i 0.673178 + 0.889754i
\(747\) −23.6153 30.7761i −0.864040 1.12604i
\(748\) 12.3469 9.21032i 0.451449 0.336763i
\(749\) 11.1150 28.7699i 0.406132 1.05123i
\(750\) −11.7918 3.24562i −0.430575 0.118513i
\(751\) −15.8133 9.12981i −0.577035 0.333152i 0.182919 0.983128i \(-0.441445\pi\)
−0.759954 + 0.649976i \(0.774779\pi\)
\(752\) −5.81283 3.57007i −0.211972 0.130187i
\(753\) 38.0899 21.9912i 1.38807 0.801404i
\(754\) −4.76423 4.82941i −0.173503 0.175877i
\(755\) 12.1151 5.01825i 0.440915 0.182633i
\(756\) −5.21447 36.6483i −0.189649 1.33289i
\(757\) 3.15552 7.61809i 0.114689 0.276884i −0.856103 0.516805i \(-0.827121\pi\)
0.970793 + 0.239920i \(0.0771214\pi\)
\(758\) −21.7935 9.20110i −0.791574 0.334199i
\(759\) −84.2702 22.5801i −3.05881 0.819607i
\(760\) 23.2420 + 42.2208i 0.843077 + 1.53151i
\(761\) −14.8504 + 3.97915i −0.538327 + 0.144244i −0.517731 0.855544i \(-0.673223\pi\)
−0.0205959 + 0.999788i \(0.506556\pi\)
\(762\) 3.22923 4.14973i 0.116983 0.150329i
\(763\) 5.30023 49.4033i 0.191881 1.78852i
\(764\) −24.2105 + 40.6482i −0.875907 + 1.47060i
\(765\) −40.1505 5.28591i −1.45164 0.191112i
\(766\) 19.0319 32.4531i 0.687651 1.17258i
\(767\) −4.56583 7.90824i −0.164862 0.285550i
\(768\) −30.2082 + 35.2270i −1.09004 + 1.27114i
\(769\) −16.7630 −0.604491 −0.302245 0.953230i \(-0.597736\pi\)
−0.302245 + 0.953230i \(0.597736\pi\)
\(770\) 40.7403 + 10.1674i 1.46818 + 0.366407i
\(771\) 22.3682 + 54.0017i 0.805572 + 1.94482i
\(772\) −3.66504 6.55205i −0.131908 0.235813i
\(773\) 3.00307 +