Properties

Label 192.2.s.a.11.29
Level $192$
Weight $2$
Character 192.11
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 11.29
Character \(\chi\) \(=\) 192.11
Dual form 192.2.s.a.35.29

$q$-expansion

\(f(q)\) \(=\) \(q+(1.38916 - 0.265037i) q^{2} +(-0.971467 + 1.43396i) q^{3} +(1.85951 - 0.736355i) q^{4} +(1.95251 - 1.30462i) q^{5} +(-0.969467 + 2.24947i) q^{6} +(-0.960548 + 2.31897i) q^{7} +(2.38799 - 1.51575i) q^{8} +(-1.11250 - 2.78610i) q^{9} +O(q^{10})\) \(q+(1.38916 - 0.265037i) q^{2} +(-0.971467 + 1.43396i) q^{3} +(1.85951 - 0.736355i) q^{4} +(1.95251 - 1.30462i) q^{5} +(-0.969467 + 2.24947i) q^{6} +(-0.960548 + 2.31897i) q^{7} +(2.38799 - 1.51575i) q^{8} +(-1.11250 - 2.78610i) q^{9} +(2.36656 - 2.32981i) q^{10} +(-0.234499 + 1.17891i) q^{11} +(-0.750547 + 3.38182i) q^{12} +(-0.872483 + 1.30576i) q^{13} +(-0.719739 + 3.47599i) q^{14} +(-0.0260138 + 4.06722i) q^{15} +(2.91556 - 2.73852i) q^{16} +(-1.03326 - 1.03326i) q^{17} +(-2.28386 - 3.57547i) q^{18} +(0.954373 - 1.42832i) q^{19} +(2.67004 - 3.86370i) q^{20} +(-2.39217 - 3.63019i) q^{21} +(-0.0133023 + 1.69984i) q^{22} +(-1.82752 - 4.41202i) q^{23} +(-0.146322 + 4.89679i) q^{24} +(0.196821 - 0.475169i) q^{25} +(-0.865940 + 2.04515i) q^{26} +(5.07592 + 1.11131i) q^{27} +(-0.0785655 + 5.01945i) q^{28} +(-7.87379 + 1.56619i) q^{29} +(1.04183 + 5.65690i) q^{30} -10.6406 q^{31} +(3.32436 - 4.57697i) q^{32} +(-1.46270 - 1.48153i) q^{33} +(-1.70922 - 1.16151i) q^{34} +(1.14990 + 5.78095i) q^{35} +(-4.12027 - 4.36158i) q^{36} +(7.61095 - 5.08547i) q^{37} +(0.947216 - 2.23710i) q^{38} +(-1.02483 - 2.51961i) q^{39} +(2.68508 - 6.07494i) q^{40} +(-8.43513 + 3.49395i) q^{41} +(-4.28524 - 4.40889i) q^{42} +(1.84822 - 9.29165i) q^{43} +(0.432040 + 2.36486i) q^{44} +(-5.80697 - 3.98847i) q^{45} +(-3.70805 - 5.64462i) q^{46} +(-1.72051 + 1.72051i) q^{47} +(1.09457 + 6.84119i) q^{48} +(0.494788 + 0.494788i) q^{49} +(0.147478 - 0.712248i) q^{50} +(2.48544 - 0.477881i) q^{51} +(-0.660886 + 3.07054i) q^{52} +(5.92434 + 1.17842i) q^{53} +(7.34579 + 0.198481i) q^{54} +(1.08017 + 2.60775i) q^{55} +(1.22120 + 6.99362i) q^{56} +(1.12102 + 2.75610i) q^{57} +(-10.5228 + 4.26253i) q^{58} +(5.62191 + 8.41378i) q^{59} +(2.94655 + 7.58220i) q^{60} +(8.69676 - 1.72989i) q^{61} +(-14.7815 + 2.82015i) q^{62} +(7.52948 + 0.0963204i) q^{63} +(3.40500 - 7.23920i) q^{64} +3.68777i q^{65} +(-2.42458 - 1.67041i) q^{66} +(2.64020 + 13.2732i) q^{67} +(-2.68221 - 1.16052i) q^{68} +(8.10204 + 1.66554i) q^{69} +(3.12956 + 7.72588i) q^{70} +(-4.65155 - 1.92674i) q^{71} +(-6.87968 - 4.96689i) q^{72} +(6.20286 - 2.56931i) q^{73} +(9.22496 - 9.08170i) q^{74} +(0.490169 + 0.743845i) q^{75} +(0.722916 - 3.35873i) q^{76} +(-2.50860 - 1.67619i) q^{77} +(-2.09144 - 3.22852i) q^{78} +(1.07890 - 1.07890i) q^{79} +(2.11992 - 9.15069i) q^{80} +(-6.52467 + 6.19908i) q^{81} +(-10.7917 + 7.08926i) q^{82} +(9.95671 + 6.65286i) q^{83} +(-7.12139 - 4.98889i) q^{84} +(-3.36547 - 0.669434i) q^{85} +(0.104843 - 13.3974i) q^{86} +(5.40326 - 12.8122i) q^{87} +(1.22695 + 3.17066i) q^{88} +(0.972027 + 0.402627i) q^{89} +(-9.12389 - 4.00155i) q^{90} +(-2.18996 - 3.27751i) q^{91} +(-6.64710 - 6.85849i) q^{92} +(10.3370 - 15.2583i) q^{93} +(-1.93406 + 2.84605i) q^{94} -4.03390i q^{95} +(3.33369 + 9.21339i) q^{96} +14.7123i q^{97} +(0.818474 + 0.556200i) q^{98} +(3.54543 - 0.658200i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38916 0.265037i 0.982282 0.187409i
\(3\) −0.971467 + 1.43396i −0.560877 + 0.827899i
\(4\) 1.85951 0.736355i 0.929755 0.368178i
\(5\) 1.95251 1.30462i 0.873187 0.583445i −0.0362238 0.999344i \(-0.511533\pi\)
0.909411 + 0.415899i \(0.136533\pi\)
\(6\) −0.969467 + 2.24947i −0.395783 + 0.918344i
\(7\) −0.960548 + 2.31897i −0.363053 + 0.876487i 0.631797 + 0.775134i \(0.282317\pi\)
−0.994850 + 0.101354i \(0.967683\pi\)
\(8\) 2.38799 1.51575i 0.844282 0.535899i
\(9\) −1.11250 2.78610i −0.370834 0.928699i
\(10\) 2.36656 2.32981i 0.748373 0.736751i
\(11\) −0.234499 + 1.17891i −0.0707041 + 0.355454i −0.999900 0.0141338i \(-0.995501\pi\)
0.929196 + 0.369587i \(0.120501\pi\)
\(12\) −0.750547 + 3.38182i −0.216664 + 0.976246i
\(13\) −0.872483 + 1.30576i −0.241983 + 0.362154i −0.932504 0.361159i \(-0.882381\pi\)
0.690521 + 0.723312i \(0.257381\pi\)
\(14\) −0.719739 + 3.47599i −0.192358 + 0.928997i
\(15\) −0.0260138 + 4.06722i −0.00671672 + 1.05015i
\(16\) 2.91556 2.73852i 0.728891 0.684630i
\(17\) −1.03326 1.03326i −0.250603 0.250603i 0.570615 0.821218i \(-0.306705\pi\)
−0.821218 + 0.570615i \(0.806705\pi\)
\(18\) −2.28386 3.57547i −0.538311 0.842746i
\(19\) 0.954373 1.42832i 0.218948 0.327679i −0.705694 0.708517i \(-0.749364\pi\)
0.924642 + 0.380838i \(0.124364\pi\)
\(20\) 2.67004 3.86370i 0.597039 0.863949i
\(21\) −2.39217 3.63019i −0.522015 0.792173i
\(22\) −0.0133023 + 1.69984i −0.00283605 + 0.362406i
\(23\) −1.82752 4.41202i −0.381064 0.919969i −0.991761 0.128105i \(-0.959111\pi\)
0.610697 0.791864i \(-0.290889\pi\)
\(24\) −0.146322 + 4.89679i −0.0298678 + 0.999554i
\(25\) 0.196821 0.475169i 0.0393642 0.0950337i
\(26\) −0.865940 + 2.04515i −0.169825 + 0.401087i
\(27\) 5.07592 + 1.11131i 0.976862 + 0.213872i
\(28\) −0.0785655 + 5.01945i −0.0148475 + 0.948587i
\(29\) −7.87379 + 1.56619i −1.46213 + 0.290835i −0.861117 0.508408i \(-0.830234\pi\)
−0.601009 + 0.799242i \(0.705234\pi\)
\(30\) 1.04183 + 5.65690i 0.190211 + 1.03280i
\(31\) −10.6406 −1.91111 −0.955555 0.294812i \(-0.904743\pi\)
−0.955555 + 0.294812i \(0.904743\pi\)
\(32\) 3.32436 4.57697i 0.587670 0.809101i
\(33\) −1.46270 1.48153i −0.254623 0.257902i
\(34\) −1.70922 1.16151i −0.293128 0.199198i
\(35\) 1.14990 + 5.78095i 0.194369 + 0.977159i
\(36\) −4.12027 4.36158i −0.686711 0.726930i
\(37\) 7.61095 5.08547i 1.25123 0.836047i 0.259672 0.965697i \(-0.416385\pi\)
0.991560 + 0.129650i \(0.0413854\pi\)
\(38\) 0.947216 2.23710i 0.153659 0.362906i
\(39\) −1.02483 2.51961i −0.164104 0.403461i
\(40\) 2.68508 6.07494i 0.424549 0.960532i
\(41\) −8.43513 + 3.49395i −1.31735 + 0.545663i −0.927019 0.375014i \(-0.877638\pi\)
−0.390327 + 0.920676i \(0.627638\pi\)
\(42\) −4.28524 4.40889i −0.661227 0.680306i
\(43\) 1.84822 9.29165i 0.281852 1.41696i −0.537302 0.843390i \(-0.680557\pi\)
0.819154 0.573574i \(-0.194443\pi\)
\(44\) 0.432040 + 2.36486i 0.0651325 + 0.356517i
\(45\) −5.80697 3.98847i −0.865653 0.594567i
\(46\) −3.70805 5.64462i −0.546723 0.832254i
\(47\) −1.72051 + 1.72051i −0.250962 + 0.250962i −0.821365 0.570403i \(-0.806787\pi\)
0.570403 + 0.821365i \(0.306787\pi\)
\(48\) 1.09457 + 6.84119i 0.157987 + 0.987441i
\(49\) 0.494788 + 0.494788i 0.0706839 + 0.0706839i
\(50\) 0.147478 0.712248i 0.0208566 0.100727i
\(51\) 2.48544 0.477881i 0.348032 0.0669167i
\(52\) −0.660886 + 3.07054i −0.0916484 + 0.425807i
\(53\) 5.92434 + 1.17842i 0.813770 + 0.161869i 0.584395 0.811469i \(-0.301332\pi\)
0.229375 + 0.973338i \(0.426332\pi\)
\(54\) 7.34579 + 0.198481i 0.999635 + 0.0270098i
\(55\) 1.08017 + 2.60775i 0.145650 + 0.351629i
\(56\) 1.22120 + 6.99362i 0.163190 + 0.934562i
\(57\) 1.12102 + 2.75610i 0.148482 + 0.365055i
\(58\) −10.5228 + 4.26253i −1.38171 + 0.559698i
\(59\) 5.62191 + 8.41378i 0.731910 + 1.09538i 0.991556 + 0.129677i \(0.0413940\pi\)
−0.259646 + 0.965704i \(0.583606\pi\)
\(60\) 2.94655 + 7.58220i 0.380397 + 0.978857i
\(61\) 8.69676 1.72989i 1.11351 0.221490i 0.396143 0.918189i \(-0.370349\pi\)
0.717364 + 0.696699i \(0.245349\pi\)
\(62\) −14.7815 + 2.82015i −1.87725 + 0.358160i
\(63\) 7.52948 + 0.0963204i 0.948626 + 0.0121352i
\(64\) 3.40500 7.23920i 0.425624 0.904900i
\(65\) 3.68777i 0.457412i
\(66\) −2.42458 1.67041i −0.298445 0.205613i
\(67\) 2.64020 + 13.2732i 0.322552 + 1.62158i 0.713145 + 0.701016i \(0.247270\pi\)
−0.390593 + 0.920563i \(0.627730\pi\)
\(68\) −2.68221 1.16052i −0.325266 0.140733i
\(69\) 8.10204 + 1.66554i 0.975371 + 0.200507i
\(70\) 3.12956 + 7.72588i 0.374054 + 0.923419i
\(71\) −4.65155 1.92674i −0.552038 0.228662i 0.0891865 0.996015i \(-0.471573\pi\)
−0.641225 + 0.767353i \(0.721573\pi\)
\(72\) −6.87968 4.96689i −0.810778 0.585354i
\(73\) 6.20286 2.56931i 0.725989 0.300715i 0.0110866 0.999939i \(-0.496471\pi\)
0.714903 + 0.699224i \(0.246471\pi\)
\(74\) 9.22496 9.08170i 1.07238 1.05573i
\(75\) 0.490169 + 0.743845i 0.0565998 + 0.0858918i
\(76\) 0.722916 3.35873i 0.0829241 0.385273i
\(77\) −2.50860 1.67619i −0.285881 0.191020i
\(78\) −2.09144 3.22852i −0.236809 0.365558i
\(79\) 1.07890 1.07890i 0.121385 0.121385i −0.643805 0.765190i \(-0.722645\pi\)
0.765190 + 0.643805i \(0.222645\pi\)
\(80\) 2.11992 9.15069i 0.237014 1.02308i
\(81\) −6.52467 + 6.19908i −0.724964 + 0.688787i
\(82\) −10.7917 + 7.08926i −1.19174 + 0.782878i
\(83\) 9.95671 + 6.65286i 1.09289 + 0.730246i 0.965186 0.261566i \(-0.0842389\pi\)
0.127705 + 0.991812i \(0.459239\pi\)
\(84\) −7.12139 4.98889i −0.777007 0.544333i
\(85\) −3.36547 0.669434i −0.365037 0.0726103i
\(86\) 0.104843 13.3974i 0.0113055 1.44468i
\(87\) 5.40326 12.8122i 0.579290 1.37362i
\(88\) 1.22695 + 3.17066i 0.130793 + 0.337993i
\(89\) 0.972027 + 0.402627i 0.103035 + 0.0426784i 0.433605 0.901103i \(-0.357241\pi\)
−0.330571 + 0.943781i \(0.607241\pi\)
\(90\) −9.12389 4.00155i −0.961742 0.421801i
\(91\) −2.18996 3.27751i −0.229570 0.343576i
\(92\) −6.64710 6.85849i −0.693008 0.715047i
\(93\) 10.3370 15.2583i 1.07190 1.58221i
\(94\) −1.93406 + 2.84605i −0.199483 + 0.293548i
\(95\) 4.03390i 0.413869i
\(96\) 3.33369 + 9.21339i 0.340244 + 0.940337i
\(97\) 14.7123i 1.49381i 0.664933 + 0.746903i \(0.268460\pi\)
−0.664933 + 0.746903i \(0.731540\pi\)
\(98\) 0.818474 + 0.556200i 0.0826784 + 0.0561847i
\(99\) 3.54543 0.658200i 0.356329 0.0661516i
\(100\) 0.0160985 1.02851i 0.00160985 0.102851i
\(101\) 1.37128 + 2.05227i 0.136447 + 0.204208i 0.893400 0.449261i \(-0.148313\pi\)
−0.756953 + 0.653469i \(0.773313\pi\)
\(102\) 3.32601 1.32258i 0.329324 0.130955i
\(103\) −1.22208 0.506204i −0.120415 0.0498777i 0.321662 0.946854i \(-0.395758\pi\)
−0.442078 + 0.896977i \(0.645758\pi\)
\(104\) −0.104269 + 4.44062i −0.0102244 + 0.435438i
\(105\) −9.40677 3.96709i −0.918006 0.387148i
\(106\) 8.54216 + 0.0668477i 0.829688 + 0.00649282i
\(107\) −10.9826 2.18457i −1.06173 0.211190i −0.366820 0.930292i \(-0.619554\pi\)
−0.694905 + 0.719101i \(0.744554\pi\)
\(108\) 10.2571 1.67118i 0.986985 0.160810i
\(109\) −12.9769 8.67086i −1.24296 0.830517i −0.252401 0.967623i \(-0.581220\pi\)
−0.990556 + 0.137106i \(0.956220\pi\)
\(110\) 2.19167 + 3.33629i 0.208968 + 0.318103i
\(111\) −0.101403 + 15.8542i −0.00962472 + 1.50481i
\(112\) 3.55001 + 9.39158i 0.335444 + 0.887421i
\(113\) 9.34958 9.34958i 0.879534 0.879534i −0.113952 0.993486i \(-0.536351\pi\)
0.993486 + 0.113952i \(0.0363511\pi\)
\(114\) 2.28774 + 3.53155i 0.214266 + 0.330760i
\(115\) −9.32425 6.23027i −0.869491 0.580975i
\(116\) −13.4881 + 8.71026i −1.25234 + 0.808727i
\(117\) 4.60862 + 0.978157i 0.426067 + 0.0904306i
\(118\) 10.0397 + 10.1980i 0.924226 + 0.938806i
\(119\) 3.38860 1.40361i 0.310633 0.128668i
\(120\) 6.10277 + 9.75191i 0.557104 + 0.890224i
\(121\) 8.82785 + 3.65661i 0.802531 + 0.332419i
\(122\) 11.6227 4.70805i 1.05227 0.426247i
\(123\) 3.18426 15.4899i 0.287115 1.39668i
\(124\) −19.7863 + 7.83527i −1.77687 + 0.703628i
\(125\) 2.05499 + 10.3311i 0.183804 + 0.924045i
\(126\) 10.4852 1.86179i 0.934092 0.165861i
\(127\) 9.05646i 0.803631i −0.915721 0.401815i \(-0.868379\pi\)
0.915721 0.401815i \(-0.131621\pi\)
\(128\) 2.81142 10.9588i 0.248497 0.968633i
\(129\) 11.5284 + 11.6768i 1.01502 + 1.02809i
\(130\) 0.977395 + 5.12289i 0.0857232 + 0.449307i
\(131\) 4.61852 0.918682i 0.403522 0.0802656i 0.0108434 0.999941i \(-0.496548\pi\)
0.392679 + 0.919676i \(0.371548\pi\)
\(132\) −3.81084 1.67786i −0.331691 0.146039i
\(133\) 2.39551 + 3.58513i 0.207717 + 0.310870i
\(134\) 7.18554 + 17.7388i 0.620736 + 1.53240i
\(135\) 11.3606 4.45232i 0.977766 0.383195i
\(136\) −4.03359 0.901252i −0.345878 0.0772818i
\(137\) 0.240712 + 0.581131i 0.0205654 + 0.0496493i 0.933829 0.357721i \(-0.116446\pi\)
−0.913263 + 0.407370i \(0.866446\pi\)
\(138\) 11.6964 + 0.166350i 0.995667 + 0.0141607i
\(139\) −13.7000 2.72509i −1.16202 0.231139i −0.423834 0.905740i \(-0.639316\pi\)
−0.738183 + 0.674601i \(0.764316\pi\)
\(140\) 6.39509 + 9.90300i 0.540484 + 0.836957i
\(141\) −0.795729 4.13856i −0.0670124 0.348530i
\(142\) −6.97239 1.44371i −0.585110 0.121153i
\(143\) −1.33478 1.33478i −0.111620 0.111620i
\(144\) −10.8734 5.07643i −0.906113 0.423035i
\(145\) −13.3303 + 13.3303i −1.10702 + 1.10702i
\(146\) 7.93578 5.21315i 0.656769 0.431444i
\(147\) −1.19018 + 0.228838i −0.0981642 + 0.0188742i
\(148\) 10.4079 15.0609i 0.855526 1.23799i
\(149\) 2.51438 12.6406i 0.205986 1.03556i −0.729980 0.683469i \(-0.760471\pi\)
0.935965 0.352092i \(-0.114529\pi\)
\(150\) 0.878068 + 0.903404i 0.0716939 + 0.0737627i
\(151\) −6.15845 + 2.55091i −0.501168 + 0.207590i −0.618922 0.785452i \(-0.712430\pi\)
0.117755 + 0.993043i \(0.462430\pi\)
\(152\) 0.114055 4.85741i 0.00925111 0.393988i
\(153\) −1.72926 + 4.02828i −0.139803 + 0.325667i
\(154\) −3.92909 1.66362i −0.316615 0.134058i
\(155\) −20.7759 + 13.8820i −1.66876 + 1.11503i
\(156\) −3.76101 3.93061i −0.301122 0.314701i
\(157\) 1.37123 + 6.89364i 0.109436 + 0.550172i 0.996136 + 0.0878263i \(0.0279921\pi\)
−0.886700 + 0.462346i \(0.847008\pi\)
\(158\) 1.21281 1.78470i 0.0964858 0.141983i
\(159\) −7.44512 + 7.35048i −0.590436 + 0.582931i
\(160\) 0.519625 13.2736i 0.0410800 1.04937i
\(161\) 11.9867 0.944688
\(162\) −7.42081 + 10.3408i −0.583034 + 0.812448i
\(163\) 15.1040 3.00438i 1.18304 0.235321i 0.435904 0.899993i \(-0.356429\pi\)
0.747135 + 0.664672i \(0.231429\pi\)
\(164\) −13.1124 + 12.7083i −1.02391 + 0.992350i
\(165\) −4.78877 0.984427i −0.372805 0.0766375i
\(166\) 15.5947 + 6.60297i 1.21038 + 0.512490i
\(167\) 3.25443 7.85690i 0.251836 0.607985i −0.746517 0.665367i \(-0.768275\pi\)
0.998352 + 0.0573818i \(0.0182752\pi\)
\(168\) −11.2150 5.04292i −0.865253 0.389070i
\(169\) 4.03109 + 9.73192i 0.310084 + 0.748609i
\(170\) −4.85259 0.0379745i −0.372177 0.00291251i
\(171\) −5.04118 1.06996i −0.385509 0.0818222i
\(172\) −3.40516 18.6389i −0.259641 1.42120i
\(173\) −4.59634 + 6.87890i −0.349453 + 0.522993i −0.964005 0.265883i \(-0.914337\pi\)
0.614552 + 0.788876i \(0.289337\pi\)
\(174\) 4.11026 19.2303i 0.311598 1.45784i
\(175\) 0.912844 + 0.912844i 0.0690045 + 0.0690045i
\(176\) 2.54476 + 4.07935i 0.191819 + 0.307493i
\(177\) −17.5265 0.112099i −1.31738 0.00842588i
\(178\) 1.45701 + 0.301689i 0.109207 + 0.0226125i
\(179\) 8.30602 12.4308i 0.620821 0.929125i −0.379171 0.925326i \(-0.623791\pi\)
0.999993 0.00379846i \(-0.00120909\pi\)
\(180\) −13.7351 3.14061i −1.02375 0.234088i
\(181\) −0.659443 + 3.31525i −0.0490160 + 0.246420i −0.997523 0.0703347i \(-0.977593\pi\)
0.948507 + 0.316755i \(0.102593\pi\)
\(182\) −3.91086 3.97255i −0.289892 0.294465i
\(183\) −5.96801 + 14.1514i −0.441168 + 1.04610i
\(184\) −11.0516 7.76579i −0.814736 0.572502i
\(185\) 8.22580 19.8588i 0.604773 1.46005i
\(186\) 10.3157 23.9358i 0.756385 1.75506i
\(187\) 1.46042 0.975821i 0.106796 0.0713591i
\(188\) −1.93240 + 4.46621i −0.140935 + 0.325732i
\(189\) −7.45276 + 10.7034i −0.542109 + 0.778560i
\(190\) −1.06913 5.60372i −0.0775630 0.406536i
\(191\) −11.2519 −0.814159 −0.407080 0.913393i \(-0.633453\pi\)
−0.407080 + 0.913393i \(0.633453\pi\)
\(192\) 7.07291 + 11.9153i 0.510443 + 0.859912i
\(193\) 1.24710 0.0897684 0.0448842 0.998992i \(-0.485708\pi\)
0.0448842 + 0.998992i \(0.485708\pi\)
\(194\) 3.89930 + 20.4377i 0.279953 + 1.46734i
\(195\) −5.28813 3.58255i −0.378691 0.256552i
\(196\) 1.28440 + 0.555724i 0.0917430 + 0.0396945i
\(197\) −21.2929 + 14.2275i −1.51706 + 1.01367i −0.530980 + 0.847384i \(0.678176\pi\)
−0.986078 + 0.166282i \(0.946824\pi\)
\(198\) 4.75071 1.85401i 0.337618 0.131759i
\(199\) 5.07312 12.2476i 0.359624 0.868209i −0.635729 0.771913i \(-0.719300\pi\)
0.995353 0.0962966i \(-0.0306997\pi\)
\(200\) −0.250230 1.43303i −0.0176939 0.101331i
\(201\) −21.5982 9.10852i −1.52342 0.642466i
\(202\) 2.44885 + 2.48748i 0.172300 + 0.175018i
\(203\) 3.93120 19.7635i 0.275916 1.38712i
\(204\) 4.26982 2.71879i 0.298947 0.190354i
\(205\) −11.9114 + 17.8266i −0.831926 + 1.24506i
\(206\) −1.83183 0.379299i −0.127629 0.0264270i
\(207\) −10.2592 + 10.0000i −0.713063 + 0.695050i
\(208\) 1.03208 + 6.19635i 0.0715620 + 0.429639i
\(209\) 1.46006 + 1.46006i 0.100994 + 0.100994i
\(210\) −14.1189 3.01776i −0.974296 0.208245i
\(211\) 0.0829958 0.124212i 0.00571367 0.00855110i −0.828602 0.559838i \(-0.810863\pi\)
0.834315 + 0.551287i \(0.185863\pi\)
\(212\) 11.8841 2.17112i 0.816204 0.149113i
\(213\) 7.28170 4.79840i 0.498934 0.328781i
\(214\) −15.8355 0.123923i −1.08249 0.00847118i
\(215\) −8.51343 20.5532i −0.580611 1.40172i
\(216\) 13.8057 5.04003i 0.939361 0.342931i
\(217\) 10.2208 24.6752i 0.693834 1.67506i
\(218\) −20.3250 8.60583i −1.37658 0.582860i
\(219\) −2.34158 + 11.3907i −0.158229 + 0.769710i
\(220\) 3.92881 + 4.05376i 0.264881 + 0.273304i
\(221\) 2.25070 0.447692i 0.151399 0.0301150i
\(222\) 4.06108 + 22.0508i 0.272562 + 1.47995i
\(223\) −7.98954 −0.535019 −0.267510 0.963555i \(-0.586201\pi\)
−0.267510 + 0.963555i \(0.586201\pi\)
\(224\) 7.42063 + 12.1055i 0.495811 + 0.808832i
\(225\) −1.54283 0.0197366i −0.102855 0.00131577i
\(226\) 10.5100 15.4660i 0.699117 1.02878i
\(227\) −1.13785 5.72036i −0.0755217 0.379673i 0.924477 0.381238i \(-0.124502\pi\)
−0.999999 + 0.00156430i \(0.999502\pi\)
\(228\) 4.11401 + 4.29953i 0.272457 + 0.284744i
\(229\) −3.83660 + 2.56353i −0.253530 + 0.169403i −0.675840 0.737048i \(-0.736219\pi\)
0.422311 + 0.906451i \(0.361219\pi\)
\(230\) −14.6041 6.18355i −0.962966 0.407731i
\(231\) 4.84062 1.96887i 0.318489 0.129542i
\(232\) −16.4286 + 15.6748i −1.07859 + 1.02910i
\(233\) 12.0108 4.97502i 0.786851 0.325924i 0.0471740 0.998887i \(-0.484978\pi\)
0.739677 + 0.672962i \(0.234978\pi\)
\(234\) 6.66135 + 0.137358i 0.435466 + 0.00897936i
\(235\) −1.11469 + 5.60391i −0.0727142 + 0.365559i
\(236\) 16.6495 + 11.5058i 1.08379 + 0.748963i
\(237\) 0.498985 + 2.59521i 0.0324126 + 0.168577i
\(238\) 4.33529 2.84793i 0.281015 0.184604i
\(239\) −2.26137 + 2.26137i −0.146276 + 0.146276i −0.776452 0.630176i \(-0.782983\pi\)
0.630176 + 0.776452i \(0.282983\pi\)
\(240\) 11.0623 + 11.9295i 0.714070 + 0.770044i
\(241\) −14.0562 14.0562i −0.905439 0.905439i 0.0904612 0.995900i \(-0.471166\pi\)
−0.995900 + 0.0904612i \(0.971166\pi\)
\(242\) 13.2324 + 2.73990i 0.850611 + 0.176128i
\(243\) −2.55076 15.3783i −0.163631 0.986522i
\(244\) 14.8979 9.62066i 0.953741 0.615900i
\(245\) 1.61159 + 0.320565i 0.102961 + 0.0204801i
\(246\) 0.318037 22.3619i 0.0202773 1.42574i
\(247\) 1.03237 + 2.49237i 0.0656883 + 0.158586i
\(248\) −25.4097 + 16.1285i −1.61352 + 1.02416i
\(249\) −19.2126 + 7.81452i −1.21755 + 0.495225i
\(250\) 5.59284 + 13.8069i 0.353722 + 0.873226i
\(251\) 9.63151 + 14.4146i 0.607935 + 0.909840i 0.999949 0.0101198i \(-0.00322128\pi\)
−0.392013 + 0.919960i \(0.628221\pi\)
\(252\) 14.0721 5.36526i 0.886458 0.337980i
\(253\) 5.62990 1.11986i 0.353949 0.0704048i
\(254\) −2.40029 12.5808i −0.150608 0.789392i
\(255\) 4.22939 4.17563i 0.264855 0.261488i
\(256\) 1.00101 15.9687i 0.0625628 0.998041i
\(257\) 27.0736i 1.68880i 0.535711 + 0.844401i \(0.320044\pi\)
−0.535711 + 0.844401i \(0.679956\pi\)
\(258\) 19.1095 + 13.1655i 1.18971 + 0.819647i
\(259\) 4.48237 + 22.5344i 0.278521 + 1.40022i
\(260\) 2.71551 + 6.85745i 0.168409 + 0.425281i
\(261\) 13.1232 + 20.1947i 0.812304 + 1.25002i
\(262\) 6.17237 2.50027i 0.381330 0.154467i
\(263\) 13.4416 + 5.56770i 0.828846 + 0.343319i 0.756446 0.654057i \(-0.226934\pi\)
0.0724000 + 0.997376i \(0.476934\pi\)
\(264\) −5.73855 1.32079i −0.353183 0.0812892i
\(265\) 13.1047 5.42814i 0.805015 0.333448i
\(266\) 4.27793 + 4.34541i 0.262296 + 0.266434i
\(267\) −1.52164 + 1.00271i −0.0931231 + 0.0613650i
\(268\) 14.6833 + 22.7375i 0.896924 + 1.38892i
\(269\) −2.70937 1.81035i −0.165193 0.110379i 0.470226 0.882546i \(-0.344173\pi\)
−0.635419 + 0.772168i \(0.719173\pi\)
\(270\) 14.6016 9.19595i 0.888627 0.559648i
\(271\) 10.3574 10.3574i 0.629165 0.629165i −0.318693 0.947858i \(-0.603244\pi\)
0.947858 + 0.318693i \(0.103244\pi\)
\(272\) −5.84216 0.182930i −0.354233 0.0110918i
\(273\) 6.82730 + 0.0436671i 0.413207 + 0.00264285i
\(274\) 0.488408 + 0.743484i 0.0295058 + 0.0449155i
\(275\) 0.514025 + 0.343460i 0.0309969 + 0.0207114i
\(276\) 16.2923 2.86890i 0.980679 0.172687i
\(277\) 3.19678 + 0.635880i 0.192076 + 0.0382063i 0.290191 0.956969i \(-0.406281\pi\)
−0.0981147 + 0.995175i \(0.531281\pi\)
\(278\) −19.7537 0.154585i −1.18475 0.00927137i
\(279\) 11.8377 + 29.6458i 0.708706 + 1.77485i
\(280\) 11.5084 + 12.0619i 0.687761 + 0.720836i
\(281\) −1.35873 0.562803i −0.0810549 0.0335740i 0.341788 0.939777i \(-0.388968\pi\)
−0.422842 + 0.906203i \(0.638968\pi\)
\(282\) −2.20226 5.53821i −0.131143 0.329796i
\(283\) −9.27737 13.8846i −0.551483 0.825352i 0.446090 0.894988i \(-0.352816\pi\)
−0.997572 + 0.0696361i \(0.977816\pi\)
\(284\) −10.0684 0.157592i −0.597448 0.00935138i
\(285\) 5.78446 + 3.91880i 0.342642 + 0.232130i
\(286\) −2.20798 1.50045i −0.130560 0.0887233i
\(287\) 22.9169i 1.35274i
\(288\) −16.4502 4.17011i −0.969339 0.245726i
\(289\) 14.8647i 0.874396i
\(290\) −14.9849 + 22.0509i −0.879942 + 1.29488i
\(291\) −21.0969 14.2925i −1.23672 0.837841i
\(292\) 9.64236 9.34516i 0.564276 0.546884i
\(293\) −6.14884 9.20240i −0.359219 0.537610i 0.607210 0.794541i \(-0.292289\pi\)
−0.966430 + 0.256931i \(0.917289\pi\)
\(294\) −1.59269 + 0.633332i −0.0928877 + 0.0369367i
\(295\) 21.9536 + 9.09348i 1.27819 + 0.529443i
\(296\) 10.4666 23.6804i 0.608356 1.37639i
\(297\) −2.50043 + 5.72343i −0.145090 + 0.332107i
\(298\) 0.142631 18.2262i 0.00826242 1.05582i
\(299\) 7.35553 + 1.46311i 0.425381 + 0.0846136i
\(300\) 1.45921 + 1.02225i 0.0842475 + 0.0590196i
\(301\) 19.7717 + 13.2111i 1.13962 + 0.761472i
\(302\) −7.87896 + 5.17583i −0.453383 + 0.297836i
\(303\) −4.27503 0.0273429i −0.245594 0.00157081i
\(304\) −1.12895 6.77792i −0.0647498 0.388741i
\(305\) 14.7236 14.7236i 0.843072 0.843072i
\(306\) −1.33457 + 6.05423i −0.0762925 + 0.346097i
\(307\) 13.7941 + 9.21691i 0.787269 + 0.526037i 0.883001 0.469371i \(-0.155519\pi\)
−0.0957319 + 0.995407i \(0.530519\pi\)
\(308\) −5.89904 1.26968i −0.336129 0.0723466i
\(309\) 1.91309 1.26066i 0.108832 0.0717166i
\(310\) −25.1817 + 24.7906i −1.43022 + 1.40801i
\(311\) −10.6310 + 4.40352i −0.602831 + 0.249701i −0.663160 0.748478i \(-0.730785\pi\)
0.0603287 + 0.998179i \(0.480785\pi\)
\(312\) −6.26639 4.46343i −0.354764 0.252692i
\(313\) −18.4731 7.65179i −1.04416 0.432505i −0.206356 0.978477i \(-0.566160\pi\)
−0.837803 + 0.545972i \(0.816160\pi\)
\(314\) 3.73192 + 9.21291i 0.210604 + 0.519915i
\(315\) 14.8270 9.63507i 0.835408 0.542875i
\(316\) 1.21177 2.80067i 0.0681673 0.157550i
\(317\) 1.77879 + 8.94260i 0.0999070 + 0.502266i 0.998042 + 0.0625465i \(0.0199222\pi\)
−0.898135 + 0.439720i \(0.855078\pi\)
\(318\) −8.39428 + 12.1842i −0.470728 + 0.683256i
\(319\) 9.64972i 0.540281i
\(320\) −2.79615 18.5768i −0.156310 1.03848i
\(321\) 13.8018 13.6264i 0.770342 0.760550i
\(322\) 16.6515 3.17693i 0.927950 0.177043i
\(323\) −2.46195 + 0.489712i −0.136986 + 0.0272483i
\(324\) −7.56797 + 16.3317i −0.420443 + 0.907319i
\(325\) 0.448734 + 0.671578i 0.0248913 + 0.0372525i
\(326\) 20.1856 8.17667i 1.11798 0.452864i
\(327\) 25.0403 10.1849i 1.38473 0.563225i
\(328\) −14.8471 + 21.1291i −0.819792 + 1.16666i
\(329\) −2.33717 5.64243i −0.128852 0.311077i
\(330\) −6.91326 0.0983224i −0.380562 0.00541247i
\(331\) −8.42238 1.67531i −0.462936 0.0920836i −0.0418884 0.999122i \(-0.513337\pi\)
−0.421047 + 0.907039i \(0.638337\pi\)
\(332\) 23.4135 + 5.03939i 1.28498 + 0.276573i
\(333\) −22.6358 15.5472i −1.24044 0.851983i
\(334\) 2.43855 11.7770i 0.133431 0.644409i
\(335\) 22.4715 + 22.4715i 1.22775 + 1.22775i
\(336\) −16.9159 4.03303i −0.922838 0.220020i
\(337\) 0.976430 0.976430i 0.0531895 0.0531895i −0.680012 0.733201i \(-0.738025\pi\)
0.733201 + 0.680012i \(0.238025\pi\)
\(338\) 8.17914 + 12.4508i 0.444886 + 0.677233i
\(339\) 4.32415 + 22.4898i 0.234855 + 1.22148i
\(340\) −6.75107 + 1.23336i −0.366128 + 0.0668885i
\(341\) 2.49521 12.5443i 0.135123 0.679311i
\(342\) −7.28657 0.150250i −0.394012 0.00812458i
\(343\) −17.8554 + 7.39597i −0.964103 + 0.399345i
\(344\) −9.67029 24.9898i −0.521387 1.34736i
\(345\) 17.9922 7.31814i 0.968667 0.393995i
\(346\) −4.56187 + 10.7741i −0.245248 + 0.579218i
\(347\) 20.8105 13.9051i 1.11716 0.746465i 0.147053 0.989129i \(-0.453021\pi\)
0.970111 + 0.242663i \(0.0780211\pi\)
\(348\) 0.613071 27.8032i 0.0328640 1.49041i
\(349\) −2.53371 12.7378i −0.135626 0.681839i −0.987440 0.157995i \(-0.949497\pi\)
0.851814 0.523845i \(-0.175503\pi\)
\(350\) 1.51002 + 1.02615i 0.0807140 + 0.0548498i
\(351\) −5.87977 + 5.65835i −0.313839 + 0.302020i
\(352\) 4.61625 + 4.99241i 0.246047 + 0.266096i
\(353\) −13.9487 −0.742413 −0.371207 0.928550i \(-0.621056\pi\)
−0.371207 + 0.928550i \(0.621056\pi\)
\(354\) −24.3768 + 4.48946i −1.29561 + 0.238612i
\(355\) −11.5959 + 2.30656i −0.615444 + 0.122419i
\(356\) 2.10397 + 0.0329318i 0.111510 + 0.00174538i
\(357\) −1.27920 + 6.22269i −0.0677023 + 0.329340i
\(358\) 8.24374 19.4698i 0.435695 1.02901i
\(359\) −8.37005 + 20.2071i −0.441754 + 1.06649i 0.533578 + 0.845751i \(0.320847\pi\)
−0.975333 + 0.220739i \(0.929153\pi\)
\(360\) −19.9125 0.722507i −1.04948 0.0380795i
\(361\) 6.14172 + 14.8274i 0.323248 + 0.780390i
\(362\) −0.0374078 + 4.78017i −0.00196611 + 0.251240i
\(363\) −13.8194 + 9.10653i −0.725331 + 0.477969i
\(364\) −6.48567 4.48197i −0.339941 0.234919i
\(365\) 8.75914 13.1090i 0.458474 0.686155i
\(366\) −4.53987 + 21.2402i −0.237303 + 1.11024i
\(367\) 6.51113 + 6.51113i 0.339878 + 0.339878i 0.856321 0.516443i \(-0.172744\pi\)
−0.516443 + 0.856321i \(0.672744\pi\)
\(368\) −17.4106 7.85881i −0.907592 0.409669i
\(369\) 19.1186 + 19.6141i 0.995274 + 1.02107i
\(370\) 6.16360 29.7672i 0.320430 1.54752i
\(371\) −8.42334 + 12.6064i −0.437318 + 0.654492i
\(372\) 7.98628 35.9846i 0.414069 1.86571i
\(373\) 4.43049 22.2736i 0.229402 1.15328i −0.678662 0.734451i \(-0.737440\pi\)
0.908064 0.418832i \(-0.137560\pi\)
\(374\) 1.77012 1.74263i 0.0915308 0.0901094i
\(375\) −16.8108 7.08958i −0.868108 0.366104i
\(376\) −1.50069 + 6.71642i −0.0773924 + 0.346373i
\(377\) 4.82467 11.6478i 0.248483 0.599891i
\(378\) −7.51625 + 16.8440i −0.386594 + 0.866362i
\(379\) −2.55608 + 1.70792i −0.131297 + 0.0877299i −0.619484 0.785009i \(-0.712658\pi\)
0.488187 + 0.872739i \(0.337658\pi\)
\(380\) −2.97038 7.50108i −0.152377 0.384797i
\(381\) 12.9866 + 8.79805i 0.665325 + 0.450738i
\(382\) −15.6307 + 2.98217i −0.799734 + 0.152581i
\(383\) 7.84701 0.400963 0.200482 0.979697i \(-0.435749\pi\)
0.200482 + 0.979697i \(0.435749\pi\)
\(384\) 12.9834 + 14.6776i 0.662554 + 0.749014i
\(385\) −7.08485 −0.361077
\(386\) 1.73242 0.330528i 0.0881778 0.0168234i
\(387\) −27.9436 + 5.18766i −1.42045 + 0.263704i
\(388\) 10.8335 + 27.3577i 0.549986 + 1.38887i
\(389\) −14.8388 + 9.91496i −0.752356 + 0.502708i −0.871637 0.490152i \(-0.836941\pi\)
0.119281 + 0.992861i \(0.461941\pi\)
\(390\) −8.29555 3.57517i −0.420061 0.181036i
\(391\) −2.67047 + 6.44708i −0.135051 + 0.326043i
\(392\) 1.93152 + 0.431573i 0.0975566 + 0.0217977i
\(393\) −3.16939 + 7.51526i −0.159874 + 0.379095i
\(394\) −25.8084 + 25.4076i −1.30021 + 1.28002i
\(395\) 0.698998 3.51410i 0.0351704 0.176814i
\(396\) 6.10809 3.83462i 0.306943 0.192697i
\(397\) −0.0887975 + 0.132895i −0.00445662 + 0.00666980i −0.833691 0.552231i \(-0.813777\pi\)
0.829235 + 0.558901i \(0.188777\pi\)
\(398\) 3.80129 18.3584i 0.190542 0.920223i
\(399\) −7.46810 0.0477656i −0.373873 0.00239127i
\(400\) −0.727414 1.92438i −0.0363707 0.0962191i
\(401\) 8.80221 + 8.80221i 0.439561 + 0.439561i 0.891864 0.452303i \(-0.149397\pi\)
−0.452303 + 0.891864i \(0.649397\pi\)
\(402\) −32.4173 6.92885i −1.61683 0.345580i
\(403\) 9.28375 13.8941i 0.462457 0.692115i
\(404\) 4.06111 + 2.80646i 0.202048 + 0.139627i
\(405\) −4.65200 + 20.6160i −0.231160 + 1.02442i
\(406\) 0.223002 28.4965i 0.0110674 1.41426i
\(407\) 4.21054 + 10.1651i 0.208708 + 0.503867i
\(408\) 5.21087 4.90849i 0.257976 0.243006i
\(409\) 12.7795 30.8523i 0.631904 1.52555i −0.205323 0.978694i \(-0.565825\pi\)
0.837227 0.546856i \(-0.184175\pi\)
\(410\) −11.8220 + 27.9209i −0.583849 + 1.37892i
\(411\) −1.06716 0.219377i −0.0526393 0.0108211i
\(412\) −2.64522 0.0414036i −0.130321 0.00203981i
\(413\) −24.9114 + 4.95518i −1.22581 + 0.243829i
\(414\) −11.6012 + 16.6107i −0.570170 + 0.816369i
\(415\) 28.1200 1.38036
\(416\) 3.07598 + 8.33416i 0.150812 + 0.408616i
\(417\) 17.2168 16.9979i 0.843108 0.832392i
\(418\) 2.41521 + 1.64128i 0.118132 + 0.0802775i
\(419\) 2.64144 + 13.2794i 0.129043 + 0.648743i 0.990115 + 0.140259i \(0.0447936\pi\)
−0.861072 + 0.508483i \(0.830206\pi\)
\(420\) −20.4132 0.450118i −0.996061 0.0219635i
\(421\) 6.43406 4.29910i 0.313577 0.209526i −0.388815 0.921316i \(-0.627115\pi\)
0.702392 + 0.711790i \(0.252115\pi\)
\(422\) 0.0823734 0.194547i 0.00400987 0.00947039i
\(423\) 6.70757 + 2.87943i 0.326133 + 0.140003i
\(424\) 15.9335 6.16576i 0.773797 0.299436i
\(425\) −0.694342 + 0.287606i −0.0336805 + 0.0139509i
\(426\) 8.84367 8.59565i 0.428477 0.416460i
\(427\) −4.34209 + 21.8292i −0.210128 + 1.05639i
\(428\) −22.0308 + 4.02484i −1.06490 + 0.194548i
\(429\) 3.21071 0.617329i 0.155015 0.0298049i
\(430\) −17.2739 26.2953i −0.833019 1.26807i
\(431\) −12.8178 + 12.8178i −0.617413 + 0.617413i −0.944867 0.327454i \(-0.893809\pi\)
0.327454 + 0.944867i \(0.393809\pi\)
\(432\) 17.8425 10.6604i 0.858449 0.512900i
\(433\) −11.0902 11.0902i −0.532962 0.532962i 0.388491 0.921453i \(-0.372997\pi\)
−0.921453 + 0.388491i \(0.872997\pi\)
\(434\) 7.65847 36.9867i 0.367618 1.77542i
\(435\) −6.16523 32.0652i −0.295600 1.53741i
\(436\) −30.5154 6.56798i −1.46142 0.314549i
\(437\) −8.04590 1.60043i −0.384888 0.0765589i
\(438\) −0.233872 + 16.4440i −0.0111748 + 0.785726i
\(439\) 6.83871 + 16.5101i 0.326394 + 0.787984i 0.998854 + 0.0478514i \(0.0152374\pi\)
−0.672461 + 0.740133i \(0.734763\pi\)
\(440\) 6.53213 + 4.59003i 0.311407 + 0.218821i
\(441\) 0.828073 1.92898i 0.0394321 0.0918561i
\(442\) 3.00792 1.21843i 0.143072 0.0579550i
\(443\) 9.67418 + 14.4784i 0.459634 + 0.687891i 0.986813 0.161863i \(-0.0517502\pi\)
−0.527179 + 0.849754i \(0.676750\pi\)
\(444\) 11.4858 + 29.5557i 0.545090 + 1.40265i
\(445\) 2.42316 0.481997i 0.114869 0.0228489i
\(446\) −11.0987 + 2.11752i −0.525540 + 0.100268i
\(447\) 15.6836 + 15.8855i 0.741807 + 0.751357i
\(448\) 13.5168 + 14.8497i 0.638609 + 0.701581i
\(449\) 25.7924i 1.21722i −0.793471 0.608609i \(-0.791728\pi\)
0.793471 0.608609i \(-0.208272\pi\)
\(450\) −2.14846 + 0.381490i −0.101280 + 0.0179836i
\(451\) −2.14100 10.7636i −0.100816 0.506836i
\(452\) 10.5010 24.2702i 0.493927 1.14158i
\(453\) 2.32481 11.3091i 0.109229 0.531349i
\(454\) −3.09676 7.64490i −0.145338 0.358793i
\(455\) −8.55182 3.54228i −0.400916 0.166065i
\(456\) 6.85454 + 4.88236i 0.320993 + 0.228637i
\(457\) −22.6817 + 9.39508i −1.06101 + 0.439483i −0.843809 0.536644i \(-0.819692\pi\)
−0.217198 + 0.976128i \(0.569692\pi\)
\(458\) −4.65020 + 4.57799i −0.217290 + 0.213915i
\(459\) −4.09648 6.39304i −0.191208 0.298402i
\(460\) −21.9262 4.71929i −1.02232 0.220038i
\(461\) −5.91534 3.95250i −0.275505 0.184086i 0.410140 0.912022i \(-0.365480\pi\)
−0.685645 + 0.727936i \(0.740480\pi\)
\(462\) 6.20255 4.01801i 0.288569 0.186935i
\(463\) 13.9958 13.9958i 0.650439 0.650439i −0.302660 0.953099i \(-0.597875\pi\)
0.953099 + 0.302660i \(0.0978745\pi\)
\(464\) −18.6675 + 26.1289i −0.866615 + 1.21300i
\(465\) 0.276802 43.2777i 0.0128364 2.00696i
\(466\) 15.3663 10.0944i 0.711828 0.467613i
\(467\) −8.81377 5.88917i −0.407853 0.272518i 0.334675 0.942334i \(-0.391373\pi\)
−0.742528 + 0.669815i \(0.766373\pi\)
\(468\) 9.29006 1.57469i 0.429433 0.0727901i
\(469\) −33.3162 6.62700i −1.53840 0.306006i
\(470\) −0.0632322 + 8.08015i −0.00291668 + 0.372709i
\(471\) −11.2173 4.73065i −0.516867 0.217977i
\(472\) 26.1783 + 11.5706i 1.20495 + 0.532580i
\(473\) 10.5206 + 4.35777i 0.483737 + 0.200370i
\(474\) 1.38099 + 3.47290i 0.0634312 + 0.159516i
\(475\) −0.490852 0.734612i −0.0225218 0.0337063i
\(476\) 5.26759 5.10523i 0.241440 0.233998i
\(477\) −3.30764 17.8168i −0.151446 0.815774i
\(478\) −2.54205 + 3.74074i −0.116270 + 0.171097i
\(479\) 8.04583i 0.367623i −0.982961 0.183812i \(-0.941156\pi\)
0.982961 0.183812i \(-0.0588437\pi\)
\(480\) 18.5290 + 13.6400i 0.845731 + 0.622577i
\(481\) 14.3751i 0.655447i
\(482\) −23.2517 15.8008i −1.05908 0.719708i
\(483\) −11.6447 + 17.1886i −0.529853 + 0.782106i
\(484\) 19.1080 + 0.299083i 0.868547 + 0.0135947i
\(485\) 19.1940 + 28.7258i 0.871554 + 1.30437i
\(486\) −7.61923 20.6869i −0.345615 0.938376i
\(487\) −3.63799 1.50690i −0.164853 0.0682844i 0.298731 0.954337i \(-0.403437\pi\)
−0.463584 + 0.886053i \(0.653437\pi\)
\(488\) 18.1457 17.3131i 0.821417 0.783727i
\(489\) −10.3649 + 24.5773i −0.468717 + 1.11142i
\(490\) 2.32371 + 0.0181845i 0.104974 + 0.000821490i
\(491\) −9.27636 1.84518i −0.418636 0.0832719i −0.0187225 0.999825i \(-0.505960\pi\)
−0.399914 + 0.916553i \(0.630960\pi\)
\(492\) −5.48492 31.1484i −0.247279 1.40428i
\(493\) 9.75398 + 6.51740i 0.439297 + 0.293529i
\(494\) 2.09470 + 3.18867i 0.0942449 + 0.143465i
\(495\) 6.06376 5.91058i 0.272546 0.265661i
\(496\) −31.0234 + 29.1395i −1.39299 + 1.30840i
\(497\) 8.93608 8.93608i 0.400838 0.400838i
\(498\) −24.6181 + 15.9476i −1.10316 + 0.714631i
\(499\) 8.23322 + 5.50126i 0.368570 + 0.246270i 0.726038 0.687655i \(-0.241360\pi\)
−0.357468 + 0.933925i \(0.616360\pi\)
\(500\) 11.4287 + 17.6977i 0.511106 + 0.791464i
\(501\) 8.10493 + 12.2995i 0.362101 + 0.549499i
\(502\) 17.2001 + 17.4714i 0.767676 + 0.779786i
\(503\) 32.1987 13.3371i 1.43567 0.594673i 0.476924 0.878944i \(-0.341752\pi\)
0.958744 + 0.284271i \(0.0917516\pi\)
\(504\) 18.1263 11.1828i 0.807411 0.498122i
\(505\) 5.35486 + 2.21806i 0.238288 + 0.0987022i
\(506\) 7.52401 3.04779i 0.334483 0.135491i
\(507\) −17.8713 3.67380i −0.793692 0.163159i
\(508\) −6.66877 16.8406i −0.295879 0.747180i
\(509\) −3.86300 19.4206i −0.171225 0.860804i −0.966915 0.255100i \(-0.917892\pi\)
0.795690 0.605704i \(-0.207108\pi\)
\(510\) 4.76859 6.92155i 0.211156 0.306491i
\(511\) 16.8522i 0.745496i
\(512\) −2.84173 22.4483i −0.125588 0.992082i
\(513\) 6.43163 6.18943i 0.283963 0.273270i
\(514\) 7.17549 + 37.6094i 0.316497 + 1.65888i
\(515\) −3.04653 + 0.605992i −0.134246 + 0.0267032i
\(516\) 30.0355 + 13.2242i 1.32224 + 0.582162i
\(517\) −1.62486 2.43177i −0.0714612 0.106949i
\(518\) 12.1992 + 30.1158i 0.536000 + 1.32321i
\(519\) −5.39891 13.2736i −0.236986 0.582647i
\(520\) 5.58974 + 8.80636i 0.245126 + 0.386185i
\(521\) 5.29874 + 12.7923i 0.232142 + 0.560440i 0.996429 0.0844360i \(-0.0269088\pi\)
−0.764287 + 0.644876i \(0.776909\pi\)
\(522\) 23.5825 + 24.5755i 1.03218 + 1.07564i
\(523\) −13.7268 2.73044i −0.600233 0.119394i −0.114384 0.993437i \(-0.536489\pi\)
−0.485849 + 0.874043i \(0.661489\pi\)
\(524\) 7.91172 5.10917i 0.345625 0.223195i
\(525\) −2.19578 + 0.422187i −0.0958319 + 0.0184258i
\(526\) 20.1482 + 4.17188i 0.878501 + 0.181903i
\(527\) 10.9946 + 10.9946i 0.478930 + 0.478930i
\(528\) −8.32180 0.313862i −0.362160 0.0136591i
\(529\) 0.137386 0.137386i 0.00597329 0.00597329i
\(530\) 16.7658 11.0138i 0.728261 0.478408i
\(531\) 17.1872 25.0235i 0.745861 1.08593i
\(532\) 7.09440 + 4.90264i 0.307581 + 0.212557i
\(533\) 2.79724 14.0627i 0.121162 0.609123i
\(534\) −1.84805 + 1.79622i −0.0799728 + 0.0777299i
\(535\) −24.2936 + 10.0627i −1.05030 + 0.435050i
\(536\) 26.4237 + 27.6944i 1.14133 + 1.19622i
\(537\) 9.75635 + 23.9867i 0.421018 + 1.03510i
\(538\) −4.24355 1.79677i −0.182952 0.0774642i
\(539\) −0.699335 + 0.467281i −0.0301225 + 0.0201272i
\(540\) 17.8467 16.6446i 0.767999 0.716269i
\(541\) 3.92409 + 19.7277i 0.168710 + 0.848162i 0.968716 + 0.248171i \(0.0798294\pi\)
−0.800006 + 0.599991i \(0.795171\pi\)
\(542\) 11.6429 17.1331i 0.500106 0.735929i
\(543\) −4.11331 4.16627i −0.176519 0.178792i
\(544\) −8.16415 + 1.29427i −0.350035 + 0.0554913i
\(545\) −36.6496 −1.56990
\(546\) 9.49576 1.74883i 0.406381 0.0748428i
\(547\) −8.16625 + 1.62437i −0.349164 + 0.0694529i −0.366557 0.930396i \(-0.619463\pi\)
0.0173930 + 0.999849i \(0.494463\pi\)
\(548\) 0.875525 + 0.903369i 0.0374006 + 0.0385900i
\(549\) −14.4948 22.3055i −0.618624 0.951976i
\(550\) 0.805090 + 0.340885i 0.0343292 + 0.0145354i
\(551\) −5.27750 + 12.7410i −0.224829 + 0.542786i
\(552\) 21.8721 8.30340i 0.930940 0.353416i
\(553\) 1.46559 + 3.53825i 0.0623234 + 0.150462i
\(554\) 4.60936 + 0.0360711i 0.195833 + 0.00153252i
\(555\) 20.4857 + 31.0877i 0.869572 + 1.31960i
\(556\) −27.4819 + 5.02070i −1.16549 + 0.212925i
\(557\) −6.36083 + 9.51966i −0.269517 + 0.403361i −0.941398 0.337299i \(-0.890487\pi\)
0.671881 + 0.740659i \(0.265487\pi\)
\(558\) 24.3017 + 38.0452i 1.02877 + 1.61058i
\(559\) 10.5202 + 10.5202i 0.444955 + 0.444955i
\(560\) 19.1839 + 13.7057i 0.810666 + 0.579171i
\(561\) −0.0194576 + 3.04217i −0.000821499 + 0.128440i
\(562\) −2.03665 0.421709i −0.0859108 0.0177887i
\(563\) −15.1485 + 22.6713i −0.638432 + 0.955481i 0.361303 + 0.932449i \(0.382332\pi\)
−0.999735 + 0.0230323i \(0.992668\pi\)
\(564\) −4.52712 7.10976i −0.190626 0.299375i
\(565\) 6.05743 30.4528i 0.254838 1.28116i
\(566\) −16.5676 16.8290i −0.696390 0.707375i
\(567\) −8.10822 21.0850i −0.340513 0.885488i
\(568\) −14.0283 + 2.44957i −0.588615 + 0.102782i
\(569\) −10.7437 + 25.9376i −0.450400 + 1.08736i 0.521771 + 0.853086i \(0.325272\pi\)
−0.972170 + 0.234275i \(0.924728\pi\)
\(570\) 9.07415 + 3.91073i 0.380074 + 0.163802i
\(571\) 7.04025 4.70415i 0.294625 0.196862i −0.399468 0.916747i \(-0.630805\pi\)
0.694094 + 0.719885i \(0.255805\pi\)
\(572\) −3.46490 1.49916i −0.144875 0.0626831i
\(573\) 10.9309 16.1348i 0.456643 0.674042i
\(574\) −6.07382 31.8352i −0.253516 1.32877i
\(575\) −2.45615 −0.102428
\(576\) −23.9572 1.43302i −0.998216 0.0597090i
\(577\) −34.6492 −1.44247 −0.721233 0.692692i \(-0.756424\pi\)
−0.721233 + 0.692692i \(0.756424\pi\)
\(578\) −3.93970 20.6494i −0.163870 0.858904i
\(579\) −1.21152 + 1.78830i −0.0503490 + 0.0743192i
\(580\) −14.9720 + 34.6037i −0.621680 + 1.43684i
\(581\) −24.9917 + 16.6989i −1.03683 + 0.692787i
\(582\) −33.0949 14.2631i −1.37183 0.591223i
\(583\) −2.77850 + 6.70790i −0.115074 + 0.277813i
\(584\) 10.9179 15.5375i 0.451787 0.642945i
\(585\) 10.2745 4.10266i 0.424798 0.169624i
\(586\) −10.9807 11.1539i −0.453608 0.460763i
\(587\) 6.16441 30.9906i 0.254433 1.27912i −0.616358 0.787466i \(-0.711393\pi\)
0.870791 0.491653i \(-0.163607\pi\)
\(588\) −2.04464 + 1.30192i −0.0843196 + 0.0536902i
\(589\) −10.1551 + 15.1982i −0.418434 + 0.626231i
\(590\) 32.9071 + 6.81375i 1.35476 + 0.280518i
\(591\) 0.283691 44.3548i 0.0116695 1.82451i
\(592\) 8.26352 35.6698i 0.339628 1.46602i
\(593\) −24.2435 24.2435i −0.995560 0.995560i 0.00442987 0.999990i \(-0.498590\pi\)
−0.999990 + 0.00442987i \(0.998590\pi\)
\(594\) −1.95657 + 8.61345i −0.0802790 + 0.353414i
\(595\) 4.78509 7.16139i 0.196170 0.293589i
\(596\) −4.63248 25.3569i −0.189754 1.03866i
\(597\) 12.6342 + 19.1728i 0.517085 + 0.784691i
\(598\) 10.6058 + 0.0829966i 0.433701 + 0.00339398i
\(599\) −16.7674 40.4801i −0.685098 1.65397i −0.754432 0.656379i \(-0.772087\pi\)
0.0693338 0.997594i \(-0.477913\pi\)
\(600\) 2.29800 + 1.03332i 0.0938156 + 0.0421851i
\(601\) −16.5605 + 39.9806i −0.675518 + 1.63084i 0.0965691 + 0.995326i \(0.469213\pi\)
−0.772087 + 0.635517i \(0.780787\pi\)
\(602\) 30.9675 + 13.1120i 1.26214 + 0.534404i
\(603\) 34.0432 22.1223i 1.38635 0.900891i
\(604\) −9.57333 + 9.27826i −0.389533 + 0.377527i
\(605\) 22.0069 4.37745i 0.894708 0.177969i
\(606\) −5.94593 + 1.09506i −0.241537 + 0.0444836i
\(607\) 1.82958 0.0742602 0.0371301 0.999310i \(-0.488178\pi\)
0.0371301 + 0.999310i \(0.488178\pi\)
\(608\) −3.36469 9.11638i −0.136456 0.369718i
\(609\) 24.5211 + 24.8367i 0.993643 + 1.00644i
\(610\) 16.5511 24.3557i 0.670135 0.986134i
\(611\) −0.745462 3.74769i −0.0301582 0.151615i
\(612\) −0.249338 + 8.76398i −0.0100789 + 0.354263i
\(613\) −29.3867 + 19.6356i −1.18692 + 0.793073i −0.982582 0.185828i \(-0.940503\pi\)
−0.204335 + 0.978901i \(0.565503\pi\)
\(614\) 21.6049 + 9.14779i 0.871905 + 0.369175i
\(615\) −13.9912 34.3984i −0.564180 1.38708i
\(616\) −8.53120 0.200318i −0.343732 0.00807106i
\(617\) −11.2119 + 4.64412i −0.451374 + 0.186965i −0.596777 0.802407i \(-0.703552\pi\)
0.145403 + 0.989373i \(0.453552\pi\)
\(618\) 2.32346 2.25830i 0.0934633 0.0908421i
\(619\) −0.872524 + 4.38647i −0.0350697 + 0.176307i −0.994350 0.106147i \(-0.966149\pi\)
0.959281 + 0.282454i \(0.0911486\pi\)
\(620\) −28.4109 + 41.1121i −1.14101 + 1.65110i
\(621\) −4.37321 24.4260i −0.175491 0.980181i
\(622\) −13.6011 + 8.93480i −0.545354 + 0.358253i
\(623\) −1.86736 + 1.86736i −0.0748141 + 0.0748141i
\(624\) −9.88797 4.53958i −0.395836 0.181729i
\(625\) 19.3090 + 19.3090i 0.772361 + 0.772361i
\(626\) −27.6900 5.73349i −1.10671 0.229156i
\(627\) −3.51206 + 0.675270i −0.140258 + 0.0269677i
\(628\) 7.62598 + 11.8091i 0.304310 + 0.471234i
\(629\) −13.1187 2.60948i −0.523079 0.104047i
\(630\) 18.0434 17.3143i 0.718866 0.689819i
\(631\) 7.95138 + 19.1963i 0.316540 + 0.764194i 0.999433 + 0.0336760i \(0.0107214\pi\)
−0.682893 + 0.730518i \(0.739279\pi\)
\(632\) 0.941055 4.21173i 0.0374331 0.167534i
\(633\) 0.0974878 + 0.239681i 0.00387479 + 0.00952646i
\(634\) 4.84114 + 11.9512i 0.192266 + 0.474643i
\(635\) −11.8153 17.6828i −0.468874 0.701720i
\(636\) −8.43171 + 19.1506i −0.334339 + 0.759369i
\(637\) −1.07777 + 0.214382i −0.0427028 + 0.00849411i
\(638\) −2.55753 13.4050i −0.101254 0.530708i
\(639\) −0.193207 + 15.1032i −0.00764313 + 0.597473i
\(640\) −8.80783 25.0650i −0.348160 0.990782i
\(641\) 29.4658i 1.16383i 0.813251 + 0.581914i \(0.197696\pi\)
−0.813251 + 0.581914i \(0.802304\pi\)
\(642\) 15.5614 22.5872i 0.614158 0.891444i
\(643\) −2.09949 10.5549i −0.0827960 0.416243i −0.999847 0.0174743i \(-0.994437\pi\)
0.917051 0.398769i \(-0.130563\pi\)
\(644\) 22.2895 8.82650i 0.878329 0.347813i
\(645\) 37.7431 + 7.75885i 1.48613 + 0.305504i
\(646\) −3.29024 + 1.33279i −0.129453 + 0.0524381i
\(647\) 5.51840 + 2.28580i 0.216951 + 0.0898640i 0.488512 0.872557i \(-0.337540\pi\)
−0.271561 + 0.962421i \(0.587540\pi\)
\(648\) −6.18459 + 24.6931i −0.242953 + 0.970038i
\(649\) −11.2374 + 4.65468i −0.441106 + 0.182712i
\(650\) 0.801355 + 0.813996i 0.0314317 + 0.0319276i
\(651\) 25.4542 + 38.6275i 0.997629 + 1.51393i
\(652\) 25.8738 16.7086i 1.01330 0.654359i
\(653\) 37.0877 + 24.7812i 1.45135 + 0.969763i 0.996874 + 0.0790062i \(0.0251747\pi\)
0.454479 + 0.890757i \(0.349825\pi\)
\(654\) 32.0855 20.7850i 1.25464 0.812757i
\(655\) 7.81916 7.81916i 0.305520 0.305520i
\(656\) −15.0249 + 33.2866i −0.586624 + 1.29962i
\(657\) −14.0590 14.4234i −0.548495 0.562710i
\(658\) −4.74215 7.21878i −0.184868 0.281417i
\(659\) −35.1461 23.4839i −1.36910 0.914803i −0.369205 0.929348i \(-0.620370\pi\)
−0.999894 + 0.0145456i \(0.995370\pi\)
\(660\) −9.62966 + 1.69568i −0.374834 + 0.0660044i
\(661\) −6.62668 1.31813i −0.257748 0.0512692i 0.0645249 0.997916i \(-0.479447\pi\)
−0.322273 + 0.946647i \(0.604447\pi\)
\(662\) −12.1440 0.0950345i −0.471991 0.00369362i
\(663\) −1.54451 + 3.66234i −0.0599837 + 0.142234i
\(664\) 33.8606 + 0.795071i 1.31405 + 0.0308547i
\(665\) 9.35448 + 3.87475i 0.362751 + 0.150256i
\(666\) −35.5653 15.5982i −1.37813 0.604418i
\(667\) 21.2995 + 31.8770i 0.824722 + 1.23428i
\(668\) 0.266188 17.0064i 0.0102991 0.657997i
\(669\) 7.76158 11.4567i 0.300080 0.442942i
\(670\) 37.1723 + 25.2607i 1.43609 + 0.975905i
\(671\) 10.6583i 0.411460i
\(672\) −24.5677 1.11917i −0.947720 0.0431731i
\(673\) 29.3247i 1.13039i −0.824959 0.565193i \(-0.808802\pi\)
0.824959 0.565193i \(-0.191198\pi\)
\(674\) 1.09762 1.61520i 0.0422789 0.0622153i
\(675\) 1.52711 2.19319i 0.0587785 0.0844159i
\(676\) 14.6620 + 15.1283i 0.563924 + 0.581858i
\(677\) 12.2948 + 18.4004i 0.472526 + 0.707186i 0.988801 0.149237i \(-0.0476818\pi\)
−0.516275 + 0.856423i \(0.672682\pi\)
\(678\) 11.9675 + 30.0957i 0.459610 + 1.15582i
\(679\) −34.1173 14.1319i −1.30930 0.542331i
\(680\) −9.05141 + 3.50262i −0.347106 + 0.134319i
\(681\) 9.30817 + 3.92550i 0.356690 + 0.150426i
\(682\) 0.141544 18.0873i 0.00542001 0.692598i
\(683\) 24.1315 + 4.80006i 0.923368 + 0.183669i 0.633808 0.773491i \(-0.281491\pi\)
0.289560 + 0.957160i \(0.406491\pi\)
\(684\) −10.1620 + 1.72249i −0.388554 + 0.0658610i
\(685\) 1.22815 + 0.820622i 0.0469251 + 0.0313544i
\(686\) −22.8438 + 15.0065i −0.872180 + 0.572951i
\(687\) 0.0511160 7.99193i 0.00195020 0.304911i
\(688\) −20.0568 32.1518i −0.764657 1.22578i
\(689\) −6.70763 + 6.70763i −0.255540 + 0.255540i
\(690\) 23.0544 14.9346i 0.877665 0.568552i
\(691\) 12.3607 + 8.25914i 0.470222 + 0.314193i 0.768008 0.640440i \(-0.221248\pi\)
−0.297786 + 0.954633i \(0.596248\pi\)
\(692\) −3.48162 + 16.1759i −0.132351 + 0.614917i
\(693\) −1.87921 + 8.85396i −0.0713852 + 0.336334i
\(694\) 25.2236 24.8319i 0.957475 0.942606i
\(695\) −30.3045 + 12.5525i −1.14951 + 0.476145i
\(696\) −6.51722 38.7855i −0.247035 1.47016i
\(697\) 12.3259 + 5.10555i 0.466876 + 0.193386i
\(698\) −6.89571 17.0233i −0.261006 0.644341i
\(699\) −4.53406 + 22.0561i −0.171494 + 0.834236i
\(700\) 2.36962 + 1.02527i 0.0895633 + 0.0387514i
\(701\) −4.24681 21.3502i −0.160400 0.806384i −0.974278 0.225349i \(-0.927648\pi\)
0.813878 0.581035i \(-0.197352\pi\)
\(702\) −6.66824 + 9.41869i −0.251677 + 0.355486i
\(703\) 15.7243i 0.593053i
\(704\) 7.73587 + 5.71175i 0.291556 + 0.215270i
\(705\) −6.95293 7.04244i −0.261862 0.265234i
\(706\) −19.3769 + 3.69691i −0.729259 + 0.139135i
\(707\) −6.07632 + 1.20865i −0.228523 + 0.0454561i
\(708\) −32.6734 + 12.6973i −1.22794 + 0.477194i
\(709\) −14.2542 21.3329i −0.535327 0.801173i 0.460946 0.887428i \(-0.347510\pi\)
−0.996273 + 0.0862550i \(0.972510\pi\)
\(710\) −15.4971 + 6.27750i −0.581597 + 0.235590i
\(711\) −4.20618 1.80563i −0.157744 0.0677165i
\(712\) 2.93147 0.511883i 0.109862 0.0191836i
\(713\) 19.4459 + 46.9466i 0.728255 + 1.75816i
\(714\) −0.127763 + 8.98332i −0.00478143 + 0.336192i
\(715\) −4.34754 0.864779i −0.162589 0.0323409i
\(716\) 6.29163 29.2315i 0.235129 1.09243i
\(717\) −1.04587 5.43956i −0.0390589 0.203144i
\(718\) −6.27169 + 30.2892i −0.234057 + 1.13038i
\(719\) −27.3781 27.3781i −1.02103 1.02103i −0.999774 0.0212567i \(-0.993233\pi\)
−0.0212567 0.999774i \(-0.506767\pi\)
\(720\) −27.8531 + 4.27388i −1.03802 + 0.159278i
\(721\) 2.34774 2.34774i 0.0874344 0.0874344i
\(722\) 12.4616 + 18.9698i 0.463773 + 0.705983i
\(723\) 33.8112 6.50094i 1.25745 0.241773i
\(724\) 1.21496 + 6.65032i 0.0451535 + 0.247157i
\(725\) −0.805523 + 4.04964i −0.0299164 + 0.150400i
\(726\) −16.7838 + 16.3130i −0.622904 + 0.605434i
\(727\) 22.8227 9.45345i 0.846446 0.350609i 0.0830539 0.996545i \(-0.473533\pi\)
0.763392 + 0.645936i \(0.223533\pi\)
\(728\) −10.1975 4.50722i −0.377944 0.167049i
\(729\) 24.5300 + 11.2819i 0.908517 + 0.417847i
\(730\) 8.69345 20.5319i 0.321759 0.759920i
\(731\) −11.5104 + 7.69102i −0.425728 + 0.284463i
\(732\) −0.677149 + 30.7092i −0.0250282 + 1.13505i
\(733\) 1.23098 + 6.18853i 0.0454671 + 0.228579i 0.996837 0.0794719i \(-0.0253234\pi\)
−0.951370 + 0.308051i \(0.900323\pi\)
\(734\) 10.7707 + 7.31928i 0.397552 + 0.270160i
\(735\) −2.02528 + 1.99954i −0.0747036 + 0.0737541i
\(736\) −26.2690 6.30266i −0.968287 0.232319i
\(737\) −16.2670 −0.599202
\(738\) 31.7572 + 22.1799i 1.16900 + 0.816453i
\(739\) 47.1383 9.37640i 1.73401 0.344916i 0.775801 0.630978i \(-0.217346\pi\)
0.958211 + 0.286062i \(0.0923462\pi\)
\(740\) 0.672807 42.9848i 0.0247329 1.58015i
\(741\) −4.57688 0.940869i −0.168136 0.0345637i
\(742\) −8.36017 + 19.7448i −0.306911 + 0.724853i
\(743\) −16.7011 + 40.3199i −0.612702 + 1.47919i 0.247318 + 0.968934i \(0.420451\pi\)
−0.860020 + 0.510260i \(0.829549\pi\)
\(744\) 1.55695 52.1049i 0.0570807 1.91026i
\(745\) −11.5819 27.9612i −0.424328 1.02442i
\(746\) 0.251326 32.1158i 0.00920169 1.17584i
\(747\) 7.45864 35.1417i 0.272897 1.28577i
\(748\) 1.99711 2.88994i 0.0730217 0.105667i
\(749\) 15.6152 23.3699i 0.570568 0.853916i
\(750\) −25.2319 5.39305i −0.921338 0.196926i
\(751\) −34.1193 34.1193i −1.24503 1.24503i −0.957888 0.287142i \(-0.907295\pi\)
−0.287142 0.957888i \(-0.592705\pi\)
\(752\) −0.304601 + 9.72789i −0.0111076 + 0.354740i
\(753\) −30.0267 0.192049i −1.09423 0.00699866i
\(754\) 3.61513 17.4593i 0.131655 0.635830i
\(755\) −8.69643 + 13.0151i −0.316495 + 0.473669i
\(756\) −5.97697 + 25.3910i −0.217380 + 0.923463i
\(757\) 3.03692 15.2676i 0.110379 0.554911i −0.885533 0.464577i \(-0.846206\pi\)
0.995912 0.0903342i \(-0.0287935\pi\)
\(758\) −3.09813 + 3.05002i −0.112529 + 0.110782i
\(759\) −3.86343 + 9.16098i −0.140234 + 0.332523i
\(760\) −6.11439 9.63291i −0.221792 0.349422i
\(761\) 3.66467 8.84731i 0.132844 0.320715i −0.843434 0.537232i \(-0.819470\pi\)
0.976279 + 0.216518i \(0.0694699\pi\)
\(762\) 20.3723 + 8.77993i 0.738009 + 0.318063i
\(763\) 32.5723 21.7641i 1.17920 0.787914i
\(764\) −20.9230 + 8.28540i −0.756969 + 0.299755i
\(765\) 1.87899 + 10.1213i 0.0679350 + 0.365935i
\(766\) 10.9007 2.07975i 0.393859 0.0751443i
\(767\) −15.8914 −0.573806
\(768\) 21.9260 + 16.9484i 0.791187 + 0.611574i
\(769\) 24.1637 0.871364 0.435682 0.900101i \(-0.356507\pi\)
0.435682 + 0.900101i \(0.356507\pi\)
\(770\) −9.84196 + 1.87775i −0.354680 + 0.0676693i
\(771\) −38.8225 26.3011i −1.39816 0.947210i
\(772\) 2.31900 0.918310i 0.0834626 0.0330507i
\(773\) 38.6703 25.8387i 1.39087 0.929353i 0.390915