Properties

Label 403.2.bl.b.16.16
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.16
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.187032 - 0.0832719i) q^{2} +(-0.0175618 + 0.167089i) q^{3} +(-1.31021 - 1.45514i) q^{4} -4.19195 q^{5} +(0.0171984 - 0.0297885i) q^{6} +(1.71571 + 1.90549i) q^{7} +(0.250410 + 0.770684i) q^{8} +(2.90683 + 0.617866i) q^{9} +O(q^{10})\) \(q+(-0.187032 - 0.0832719i) q^{2} +(-0.0175618 + 0.167089i) q^{3} +(-1.31021 - 1.45514i) q^{4} -4.19195 q^{5} +(0.0171984 - 0.0297885i) q^{6} +(1.71571 + 1.90549i) q^{7} +(0.250410 + 0.770684i) q^{8} +(2.90683 + 0.617866i) q^{9} +(0.784027 + 0.349072i) q^{10} +(2.54449 - 0.540847i) q^{11} +(0.266148 - 0.193367i) q^{12} +(-3.60467 - 0.0795667i) q^{13} +(-0.162218 - 0.499257i) q^{14} +(0.0736180 - 0.700428i) q^{15} +(-0.392010 + 3.72972i) q^{16} +(5.68212 + 1.20777i) q^{17} +(-0.492219 - 0.357618i) q^{18} +(0.420086 + 3.99685i) q^{19} +(5.49235 + 6.09988i) q^{20} +(-0.348517 + 0.253212i) q^{21} +(-0.520937 - 0.110729i) q^{22} +(-0.257030 + 0.285461i) q^{23} +(-0.133170 + 0.0283062i) q^{24} +12.5724 q^{25} +(0.667562 + 0.315049i) q^{26} +(-0.310041 + 0.954208i) q^{27} +(0.524806 - 4.99320i) q^{28} +(1.02128 + 0.454701i) q^{29} +(-0.0720949 + 0.124872i) q^{30} +(2.11649 + 5.14980i) q^{31} +(1.19424 - 2.06849i) q^{32} +(0.0456840 + 0.434654i) q^{33} +(-0.962163 - 0.699052i) q^{34} +(-7.19217 - 7.98771i) q^{35} +(-2.90949 - 5.03939i) q^{36} +(2.51832 + 4.36186i) q^{37} +(0.254256 - 0.782518i) q^{38} +(0.0765991 - 0.600904i) q^{39} +(-1.04971 - 3.23067i) q^{40} +(-8.25122 - 3.67368i) q^{41} +(0.0862691 - 0.0183371i) q^{42} +(1.14486 + 10.8926i) q^{43} +(-4.12083 - 2.99396i) q^{44} +(-12.1853 - 2.59006i) q^{45} +(0.0718437 - 0.0319869i) q^{46} +(-2.84593 - 2.06769i) q^{47} +(-0.616311 - 0.131001i) q^{48} +(0.0444725 - 0.423128i) q^{49} +(-2.35145 - 1.04693i) q^{50} +(-0.301593 + 0.928208i) q^{51} +(4.60711 + 5.34956i) q^{52} +(-2.19008 - 6.74037i) q^{53} +(0.137446 - 0.152649i) q^{54} +(-10.6664 + 2.26721i) q^{55} +(-1.03890 + 1.79942i) q^{56} -0.675206 q^{57} +(-0.153147 - 0.170087i) q^{58} +(0.202848 - 0.0903136i) q^{59} +(-1.11568 + 0.810587i) q^{60} +(2.73826 - 4.74281i) q^{61} +(0.0329829 - 1.13942i) q^{62} +(3.80994 + 6.59901i) q^{63} +(5.67245 - 4.12128i) q^{64} +(15.1106 + 0.333540i) q^{65} +(0.0276501 - 0.0850982i) q^{66} +(3.60375 + 6.24188i) q^{67} +(-5.68732 - 9.85072i) q^{68} +(-0.0431835 - 0.0479601i) q^{69} +(0.680011 + 2.09286i) q^{70} +(-2.63456 - 0.559993i) q^{71} +(0.251721 + 2.39497i) q^{72} +(-1.68775 + 5.19437i) q^{73} +(-0.107786 - 1.02551i) q^{74} +(-0.220794 + 2.10072i) q^{75} +(5.26557 - 5.84801i) q^{76} +(5.39618 + 3.92055i) q^{77} +(-0.0643648 + 0.106009i) q^{78} +(1.62450 + 4.99971i) q^{79} +(1.64328 - 15.6348i) q^{80} +(7.99056 + 3.55762i) q^{81} +(1.23733 + 1.37419i) q^{82} +(-10.9497 + 7.95540i) q^{83} +(0.825091 + 0.175379i) q^{84} +(-23.8192 - 5.06292i) q^{85} +(0.692921 - 2.13259i) q^{86} +(-0.0939110 + 0.162659i) q^{87} +(1.05399 + 1.82556i) q^{88} +(9.42758 - 2.00389i) q^{89} +(2.06336 + 1.49912i) q^{90} +(-6.03296 - 7.00517i) q^{91} +0.752151 q^{92} +(-0.897644 + 0.263203i) q^{93} +(0.360099 + 0.623710i) q^{94} +(-1.76098 - 16.7546i) q^{95} +(0.324649 + 0.235871i) q^{96} +(-0.562216 - 0.624405i) q^{97} +(-0.0435524 + 0.0754350i) q^{98} +7.73057 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.187032 0.0832719i −0.132251 0.0588821i 0.339544 0.940590i \(-0.389727\pi\)
−0.471795 + 0.881708i \(0.656394\pi\)
\(3\) −0.0175618 + 0.167089i −0.0101393 + 0.0964688i −0.998421 0.0561710i \(-0.982111\pi\)
0.988282 + 0.152640i \(0.0487775\pi\)
\(4\) −1.31021 1.45514i −0.655107 0.727570i
\(5\) −4.19195 −1.87470 −0.937349 0.348393i \(-0.886727\pi\)
−0.937349 + 0.348393i \(0.886727\pi\)
\(6\) 0.0171984 0.0297885i 0.00702122 0.0121611i
\(7\) 1.71571 + 1.90549i 0.648477 + 0.720207i 0.974308 0.225221i \(-0.0723106\pi\)
−0.325831 + 0.945428i \(0.605644\pi\)
\(8\) 0.250410 + 0.770684i 0.0885335 + 0.272478i
\(9\) 2.90683 + 0.617866i 0.968944 + 0.205955i
\(10\) 0.784027 + 0.349072i 0.247931 + 0.110386i
\(11\) 2.54449 0.540847i 0.767192 0.163072i 0.192339 0.981329i \(-0.438393\pi\)
0.574853 + 0.818257i \(0.305059\pi\)
\(12\) 0.266148 0.193367i 0.0768302 0.0558204i
\(13\) −3.60467 0.0795667i −0.999756 0.0220678i
\(14\) −0.162218 0.499257i −0.0433547 0.133432i
\(15\) 0.0736180 0.700428i 0.0190081 0.180850i
\(16\) −0.392010 + 3.72972i −0.0980024 + 0.932431i
\(17\) 5.68212 + 1.20777i 1.37812 + 0.292928i 0.836624 0.547778i \(-0.184526\pi\)
0.541493 + 0.840706i \(0.317859\pi\)
\(18\) −0.492219 0.357618i −0.116017 0.0842914i
\(19\) 0.420086 + 3.99685i 0.0963742 + 0.916940i 0.930728 + 0.365711i \(0.119174\pi\)
−0.834354 + 0.551229i \(0.814159\pi\)
\(20\) 5.49235 + 6.09988i 1.22813 + 1.36397i
\(21\) −0.348517 + 0.253212i −0.0760526 + 0.0552554i
\(22\) −0.520937 0.110729i −0.111064 0.0236074i
\(23\) −0.257030 + 0.285461i −0.0535945 + 0.0595228i −0.769346 0.638832i \(-0.779418\pi\)
0.715751 + 0.698355i \(0.246084\pi\)
\(24\) −0.133170 + 0.0283062i −0.0271833 + 0.00577799i
\(25\) 12.5724 2.51449
\(26\) 0.667562 + 0.315049i 0.130920 + 0.0617863i
\(27\) −0.310041 + 0.954208i −0.0596674 + 0.183637i
\(28\) 0.524806 4.99320i 0.0991790 0.943625i
\(29\) 1.02128 + 0.454701i 0.189646 + 0.0844359i 0.499363 0.866393i \(-0.333568\pi\)
−0.309717 + 0.950829i \(0.600234\pi\)
\(30\) −0.0720949 + 0.124872i −0.0131627 + 0.0227984i
\(31\) 2.11649 + 5.14980i 0.380133 + 0.924932i
\(32\) 1.19424 2.06849i 0.211115 0.365661i
\(33\) 0.0456840 + 0.434654i 0.00795256 + 0.0756635i
\(34\) −0.962163 0.699052i −0.165010 0.119886i
\(35\) −7.19217 7.98771i −1.21570 1.35017i
\(36\) −2.90949 5.03939i −0.484915 0.839898i
\(37\) 2.51832 + 4.36186i 0.414010 + 0.717086i 0.995324 0.0965935i \(-0.0307947\pi\)
−0.581314 + 0.813679i \(0.697461\pi\)
\(38\) 0.254256 0.782518i 0.0412457 0.126941i
\(39\) 0.0765991 0.600904i 0.0122657 0.0962216i
\(40\) −1.04971 3.23067i −0.165973 0.510814i
\(41\) −8.25122 3.67368i −1.28862 0.573733i −0.355968 0.934498i \(-0.615849\pi\)
−0.932657 + 0.360766i \(0.882515\pi\)
\(42\) 0.0862691 0.0183371i 0.0133116 0.00282947i
\(43\) 1.14486 + 10.8926i 0.174589 + 1.66110i 0.634340 + 0.773054i \(0.281272\pi\)
−0.459751 + 0.888048i \(0.652061\pi\)
\(44\) −4.12083 2.99396i −0.621239 0.451357i
\(45\) −12.1853 2.59006i −1.81648 0.386104i
\(46\) 0.0718437 0.0319869i 0.0105928 0.00471621i
\(47\) −2.84593 2.06769i −0.415122 0.301604i 0.360550 0.932740i \(-0.382589\pi\)
−0.775672 + 0.631136i \(0.782589\pi\)
\(48\) −0.616311 0.131001i −0.0889568 0.0189084i
\(49\) 0.0444725 0.423128i 0.00635322 0.0604468i
\(50\) −2.35145 1.04693i −0.332545 0.148058i
\(51\) −0.301593 + 0.928208i −0.0422315 + 0.129975i
\(52\) 4.60711 + 5.34956i 0.638892 + 0.741850i
\(53\) −2.19008 6.74037i −0.300831 0.925861i −0.981200 0.192992i \(-0.938181\pi\)
0.680370 0.732869i \(-0.261819\pi\)
\(54\) 0.137446 0.152649i 0.0187040 0.0207729i
\(55\) −10.6664 + 2.26721i −1.43825 + 0.305710i
\(56\) −1.03890 + 1.79942i −0.138829 + 0.240458i
\(57\) −0.675206 −0.0894332
\(58\) −0.153147 0.170087i −0.0201092 0.0223335i
\(59\) 0.202848 0.0903136i 0.0264085 0.0117578i −0.393490 0.919329i \(-0.628732\pi\)
0.419898 + 0.907571i \(0.362066\pi\)
\(60\) −1.11568 + 0.810587i −0.144033 + 0.104646i
\(61\) 2.73826 4.74281i 0.350598 0.607254i −0.635756 0.771890i \(-0.719312\pi\)
0.986354 + 0.164636i \(0.0526449\pi\)
\(62\) 0.0329829 1.13942i 0.00418883 0.144707i
\(63\) 3.80994 + 6.59901i 0.480008 + 0.831397i
\(64\) 5.67245 4.12128i 0.709056 0.515160i
\(65\) 15.1106 + 0.333540i 1.87424 + 0.0413705i
\(66\) 0.0276501 0.0850982i 0.00340349 0.0104749i
\(67\) 3.60375 + 6.24188i 0.440269 + 0.762568i 0.997709 0.0676492i \(-0.0215499\pi\)
−0.557441 + 0.830217i \(0.688217\pi\)
\(68\) −5.68732 9.85072i −0.689689 1.19458i
\(69\) −0.0431835 0.0479601i −0.00519868 0.00577372i
\(70\) 0.680011 + 2.09286i 0.0812769 + 0.250145i
\(71\) −2.63456 0.559993i −0.312665 0.0664589i 0.0489068 0.998803i \(-0.484426\pi\)
−0.361571 + 0.932344i \(0.617760\pi\)
\(72\) 0.251721 + 2.39497i 0.0296657 + 0.282250i
\(73\) −1.68775 + 5.19437i −0.197537 + 0.607955i 0.802401 + 0.596785i \(0.203556\pi\)
−0.999938 + 0.0111698i \(0.996444\pi\)
\(74\) −0.107786 1.02551i −0.0125298 0.119213i
\(75\) −0.220794 + 2.10072i −0.0254951 + 0.242570i
\(76\) 5.26557 5.84801i 0.604003 0.670813i
\(77\) 5.39618 + 3.92055i 0.614952 + 0.446788i
\(78\) −0.0643648 + 0.106009i −0.00728788 + 0.0120032i
\(79\) 1.62450 + 4.99971i 0.182771 + 0.562511i 0.999903 0.0139396i \(-0.00443724\pi\)
−0.817132 + 0.576451i \(0.804437\pi\)
\(80\) 1.64328 15.6348i 0.183725 1.74802i
\(81\) 7.99056 + 3.55762i 0.887840 + 0.395292i
\(82\) 1.23733 + 1.37419i 0.136640 + 0.151754i
\(83\) −10.9497 + 7.95540i −1.20188 + 0.873218i −0.994469 0.105035i \(-0.966504\pi\)
−0.207413 + 0.978253i \(0.566504\pi\)
\(84\) 0.825091 + 0.175379i 0.0900248 + 0.0191354i
\(85\) −23.8192 5.06292i −2.58355 0.549151i
\(86\) 0.692921 2.13259i 0.0747195 0.229963i
\(87\) −0.0939110 + 0.162659i −0.0100683 + 0.0174388i
\(88\) 1.05399 + 1.82556i 0.112356 + 0.194606i
\(89\) 9.42758 2.00389i 0.999322 0.212412i 0.320922 0.947106i \(-0.396007\pi\)
0.678400 + 0.734693i \(0.262674\pi\)
\(90\) 2.06336 + 1.49912i 0.217497 + 0.158021i
\(91\) −6.03296 7.00517i −0.632426 0.734342i
\(92\) 0.752151 0.0784172
\(93\) −0.897644 + 0.263203i −0.0930814 + 0.0272928i
\(94\) 0.360099 + 0.623710i 0.0371414 + 0.0643308i
\(95\) −1.76098 16.7546i −0.180672 1.71898i
\(96\) 0.324649 + 0.235871i 0.0331344 + 0.0240735i
\(97\) −0.562216 0.624405i −0.0570844 0.0633987i 0.713926 0.700221i \(-0.246915\pi\)
−0.771011 + 0.636822i \(0.780249\pi\)
\(98\) −0.0435524 + 0.0754350i −0.00439946 + 0.00762008i
\(99\) 7.73057 0.776952
\(100\) −16.4726 18.2947i −1.64726 1.82947i
\(101\) −5.53910 + 6.15180i −0.551161 + 0.612127i −0.952773 0.303683i \(-0.901784\pi\)
0.401612 + 0.915810i \(0.368450\pi\)
\(102\) 0.133701 0.148490i 0.0132384 0.0147027i
\(103\) 7.29679 5.30143i 0.718974 0.522365i −0.167082 0.985943i \(-0.553435\pi\)
0.886056 + 0.463578i \(0.153435\pi\)
\(104\) −0.841327 2.79799i −0.0824989 0.274365i
\(105\) 1.46096 1.06145i 0.142576 0.103587i
\(106\) −0.151669 + 1.44304i −0.0147314 + 0.140160i
\(107\) −5.42254 + 6.02234i −0.524217 + 0.582202i −0.945866 0.324557i \(-0.894785\pi\)
0.421649 + 0.906759i \(0.361451\pi\)
\(108\) 1.79473 0.799064i 0.172698 0.0768899i
\(109\) 2.15372 + 1.56477i 0.206289 + 0.149878i 0.686133 0.727476i \(-0.259307\pi\)
−0.479844 + 0.877354i \(0.659307\pi\)
\(110\) 2.18374 + 0.464169i 0.208212 + 0.0442568i
\(111\) −0.773045 + 0.344182i −0.0733742 + 0.0326683i
\(112\) −7.77952 + 5.65215i −0.735095 + 0.534078i
\(113\) 10.2312 + 11.3629i 0.962471 + 1.06893i 0.997579 + 0.0695485i \(0.0221558\pi\)
−0.0351079 + 0.999384i \(0.511177\pi\)
\(114\) 0.126285 + 0.0562257i 0.0118277 + 0.00526602i
\(115\) 1.07746 1.19664i 0.100474 0.111587i
\(116\) −0.676436 2.08186i −0.0628055 0.193296i
\(117\) −10.4290 2.45849i −0.964163 0.227288i
\(118\) −0.0454595 −0.00418489
\(119\) 7.44747 + 12.8994i 0.682708 + 1.18249i
\(120\) 0.558244 0.118658i 0.0509604 0.0108320i
\(121\) −3.86710 + 1.72174i −0.351555 + 0.156522i
\(122\) −0.907084 + 0.659035i −0.0821235 + 0.0596662i
\(123\) 0.758737 1.31417i 0.0684130 0.118495i
\(124\) 4.72063 9.82714i 0.423925 0.882503i
\(125\) −31.7433 −2.83921
\(126\) −0.163068 1.55149i −0.0145272 0.138217i
\(127\) 1.56501 14.8901i 0.138872 1.32128i −0.673953 0.738775i \(-0.735405\pi\)
0.812825 0.582508i \(-0.197929\pi\)
\(128\) −6.07670 + 1.29164i −0.537110 + 0.114166i
\(129\) −1.84013 −0.162015
\(130\) −2.79839 1.32067i −0.245435 0.115831i
\(131\) 4.44756 13.6882i 0.388585 1.19594i −0.545261 0.838266i \(-0.683569\pi\)
0.933846 0.357675i \(-0.116431\pi\)
\(132\) 0.572627 0.635966i 0.0498408 0.0553538i
\(133\) −6.89520 + 7.65789i −0.597890 + 0.664024i
\(134\) −0.154243 1.46752i −0.0133245 0.126775i
\(135\) 1.29968 3.99999i 0.111858 0.344264i
\(136\) 0.492052 + 4.68156i 0.0421931 + 0.401440i
\(137\) 3.52968 1.57151i 0.301561 0.134263i −0.250378 0.968148i \(-0.580555\pi\)
0.551939 + 0.833885i \(0.313888\pi\)
\(138\) 0.00408295 + 0.0125660i 0.000347564 + 0.00106969i
\(139\) 16.0057 7.12618i 1.35758 0.604435i 0.406580 0.913615i \(-0.366721\pi\)
0.951003 + 0.309180i \(0.100055\pi\)
\(140\) −2.19996 + 20.9312i −0.185931 + 1.76901i
\(141\) 0.395468 0.439212i 0.0333044 0.0369883i
\(142\) 0.446114 + 0.324121i 0.0374371 + 0.0271996i
\(143\) −9.21508 + 1.74712i −0.770604 + 0.146102i
\(144\) −3.44398 + 10.5995i −0.286998 + 0.883289i
\(145\) −4.28114 1.90609i −0.355529 0.158292i
\(146\) 0.748208 0.830969i 0.0619221 0.0687715i
\(147\) 0.0699189 + 0.0148617i 0.00576682 + 0.00122577i
\(148\) 3.04758 9.37949i 0.250510 0.770989i
\(149\) 0.185396 0.321115i 0.0151882 0.0263067i −0.858331 0.513096i \(-0.828499\pi\)
0.873520 + 0.486789i \(0.161832\pi\)
\(150\) 0.216226 0.374515i 0.0176548 0.0305790i
\(151\) 2.09919 6.46063i 0.170829 0.525759i −0.828589 0.559857i \(-0.810856\pi\)
0.999418 + 0.0340986i \(0.0108560\pi\)
\(152\) −2.97511 + 1.32461i −0.241313 + 0.107440i
\(153\) 15.7707 + 7.02158i 1.27499 + 0.567661i
\(154\) −0.682784 1.18262i −0.0550203 0.0952980i
\(155\) −8.87222 21.5877i −0.712634 1.73397i
\(156\) −0.974760 + 0.675850i −0.0780433 + 0.0541113i
\(157\) −18.0071 + 13.0829i −1.43712 + 1.04413i −0.448488 + 0.893789i \(0.648037\pi\)
−0.988634 + 0.150342i \(0.951963\pi\)
\(158\) 0.112501 1.07038i 0.00895013 0.0851548i
\(159\) 1.16470 0.247565i 0.0923670 0.0196332i
\(160\) −5.00621 + 8.67102i −0.395776 + 0.685504i
\(161\) −0.984932 −0.0776235
\(162\) −1.19824 1.33078i −0.0941424 0.104556i
\(163\) 10.7792 + 2.29118i 0.844290 + 0.179459i 0.609697 0.792634i \(-0.291291\pi\)
0.234593 + 0.972094i \(0.424624\pi\)
\(164\) 5.46515 + 16.8200i 0.426756 + 1.31342i
\(165\) −0.191505 1.82205i −0.0149086 0.141846i
\(166\) 2.71039 0.576112i 0.210367 0.0447150i
\(167\) 11.7038 + 5.21087i 0.905668 + 0.403229i 0.806085 0.591800i \(-0.201583\pi\)
0.0995828 + 0.995029i \(0.468249\pi\)
\(168\) −0.282419 0.205189i −0.0217891 0.0158307i
\(169\) 12.9873 + 0.573624i 0.999026 + 0.0441249i
\(170\) 4.03334 + 2.93039i 0.309343 + 0.224751i
\(171\) −1.24840 + 11.8777i −0.0954674 + 0.908312i
\(172\) 14.3502 15.9375i 1.09419 1.21523i
\(173\) 5.82077 2.59157i 0.442545 0.197034i −0.173353 0.984860i \(-0.555460\pi\)
0.615898 + 0.787826i \(0.288793\pi\)
\(174\) 0.0311092 0.0226022i 0.00235838 0.00171347i
\(175\) 21.5707 + 23.9566i 1.63059 + 1.81095i
\(176\) 1.01975 + 9.70225i 0.0768664 + 0.731334i
\(177\) 0.0115280 + 0.0354797i 0.000866501 + 0.00266682i
\(178\) −1.93012 0.410261i −0.144669 0.0307503i
\(179\) 10.6132 2.25591i 0.793270 0.168615i 0.206584 0.978429i \(-0.433765\pi\)
0.586687 + 0.809814i \(0.300432\pi\)
\(180\) 12.1964 + 21.1249i 0.909069 + 1.57455i
\(181\) −15.3773 −1.14299 −0.571494 0.820606i \(-0.693636\pi\)
−0.571494 + 0.820606i \(0.693636\pi\)
\(182\) 0.545020 + 1.81257i 0.0403996 + 0.134356i
\(183\) 0.744382 + 0.540825i 0.0550263 + 0.0399789i
\(184\) −0.284363 0.126607i −0.0209636 0.00933358i
\(185\) −10.5567 18.2847i −0.776143 1.34432i
\(186\) 0.189805 + 0.0255213i 0.0139172 + 0.00187131i
\(187\) 15.1113 1.10505
\(188\) 0.720001 + 6.85036i 0.0525115 + 0.499614i
\(189\) −2.35017 + 1.04636i −0.170950 + 0.0761117i
\(190\) −1.06583 + 3.28028i −0.0773232 + 0.237976i
\(191\) 7.88249 13.6529i 0.570357 0.987887i −0.426172 0.904642i \(-0.640138\pi\)
0.996529 0.0832450i \(-0.0265284\pi\)
\(192\) 0.589001 + 1.02018i 0.0425075 + 0.0736252i
\(193\) −9.38056 + 1.99390i −0.675228 + 0.143524i −0.532748 0.846274i \(-0.678841\pi\)
−0.142479 + 0.989798i \(0.545507\pi\)
\(194\) 0.0531569 + 0.163600i 0.00381645 + 0.0117458i
\(195\) −0.321100 + 2.51896i −0.0229944 + 0.180386i
\(196\) −0.673979 + 0.489674i −0.0481413 + 0.0349767i
\(197\) 13.2015 2.80607i 0.940570 0.199924i 0.287981 0.957636i \(-0.407016\pi\)
0.652589 + 0.757712i \(0.273683\pi\)
\(198\) −1.44586 0.643739i −0.102753 0.0457485i
\(199\) −18.7320 + 8.34004i −1.32788 + 0.591209i −0.943318 0.331890i \(-0.892314\pi\)
−0.384560 + 0.923100i \(0.625647\pi\)
\(200\) 3.14827 + 9.68939i 0.222616 + 0.685143i
\(201\) −1.10624 + 0.492529i −0.0780280 + 0.0347403i
\(202\) 1.54826 0.689329i 0.108935 0.0485011i
\(203\) 0.885785 + 2.72616i 0.0621699 + 0.191339i
\(204\) 1.74583 0.777292i 0.122232 0.0544213i
\(205\) 34.5887 + 15.3999i 2.41578 + 1.07557i
\(206\) −1.80619 + 0.383917i −0.125843 + 0.0267488i
\(207\) −0.923521 + 0.670977i −0.0641892 + 0.0466361i
\(208\) 1.70983 13.4132i 0.118555 0.930041i
\(209\) 3.23059 + 9.94272i 0.223464 + 0.687753i
\(210\) −0.361636 + 0.0768681i −0.0249552 + 0.00530440i
\(211\) −9.73267 16.8575i −0.670024 1.16052i −0.977897 0.209089i \(-0.932950\pi\)
0.307872 0.951428i \(-0.400383\pi\)
\(212\) −6.93872 + 12.0182i −0.476553 + 0.825414i
\(213\) 0.139836 0.430371i 0.00958140 0.0294885i
\(214\) 1.51568 0.674823i 0.103610 0.0461300i
\(215\) −4.79918 45.6611i −0.327301 3.11406i
\(216\) −0.813030 −0.0553197
\(217\) −6.18160 + 12.8685i −0.419635 + 0.873571i
\(218\) −0.272513 0.472006i −0.0184569 0.0319683i
\(219\) −0.838281 0.373227i −0.0566458 0.0252203i
\(220\) 17.2743 + 12.5505i 1.16464 + 0.846157i
\(221\) −20.3861 4.80573i −1.37132 0.323268i
\(222\) 0.173244 0.0116274
\(223\) 5.55059 + 9.61390i 0.371695 + 0.643794i 0.989826 0.142280i \(-0.0454435\pi\)
−0.618132 + 0.786075i \(0.712110\pi\)
\(224\) 5.99046 1.27331i 0.400255 0.0850767i
\(225\) 36.5460 + 7.76809i 2.43640 + 0.517873i
\(226\) −0.967349 2.97719i −0.0643471 0.198040i
\(227\) 0.255193 + 2.42800i 0.0169378 + 0.161152i 0.999721 0.0236087i \(-0.00751558\pi\)
−0.982783 + 0.184761i \(0.940849\pi\)
\(228\) 0.884665 + 0.982520i 0.0585884 + 0.0650690i
\(229\) −8.65074 + 6.28513i −0.571657 + 0.415333i −0.835707 0.549176i \(-0.814942\pi\)
0.264050 + 0.964509i \(0.414942\pi\)
\(230\) −0.301165 + 0.134087i −0.0198582 + 0.00884146i
\(231\) −0.749847 + 0.832790i −0.0493363 + 0.0547935i
\(232\) −0.0946930 + 0.900943i −0.00621690 + 0.0591498i
\(233\) −21.8462 15.8722i −1.43119 1.03982i −0.989793 0.142509i \(-0.954483\pi\)
−0.441397 0.897312i \(-0.645517\pi\)
\(234\) 1.74583 + 1.32826i 0.114129 + 0.0868311i
\(235\) 11.9300 + 8.66766i 0.778228 + 0.565416i
\(236\) −0.397193 0.176842i −0.0258551 0.0115114i
\(237\) −0.863925 + 0.183633i −0.0561180 + 0.0119282i
\(238\) −0.318756 3.03276i −0.0206619 0.196585i
\(239\) −3.91530 12.0500i −0.253260 0.779453i −0.994168 0.107846i \(-0.965605\pi\)
0.740908 0.671606i \(-0.234395\pi\)
\(240\) 2.58354 + 0.549149i 0.166767 + 0.0354474i
\(241\) −6.99326 7.76681i −0.450476 0.500304i 0.474539 0.880234i \(-0.342615\pi\)
−0.925015 + 0.379930i \(0.875948\pi\)
\(242\) 0.866643 0.0557099
\(243\) −2.23974 + 3.87934i −0.143679 + 0.248860i
\(244\) −10.4892 + 2.22954i −0.671500 + 0.142732i
\(245\) −0.186427 + 1.77373i −0.0119104 + 0.113319i
\(246\) −0.251341 + 0.182610i −0.0160249 + 0.0116428i
\(247\) −1.19625 14.4408i −0.0761159 0.918843i
\(248\) −3.43888 + 2.92071i −0.218369 + 0.185465i
\(249\) −1.13696 1.96928i −0.0720521 0.124798i
\(250\) 5.93701 + 2.64333i 0.375489 + 0.167179i
\(251\) −18.8746 + 8.40353i −1.19136 + 0.530426i −0.904056 0.427414i \(-0.859425\pi\)
−0.287301 + 0.957840i \(0.592758\pi\)
\(252\) 4.61065 14.1901i 0.290444 0.893894i
\(253\) −0.499620 + 0.865367i −0.0314108 + 0.0544051i
\(254\) −1.53263 + 2.65460i −0.0961660 + 0.166564i
\(255\) 1.26426 3.89100i 0.0791713 0.243664i
\(256\) −12.4725 2.65112i −0.779534 0.165695i
\(257\) 10.3147 11.4556i 0.643412 0.714582i −0.329913 0.944011i \(-0.607019\pi\)
0.973325 + 0.229430i \(0.0736861\pi\)
\(258\) 0.344163 + 0.153231i 0.0214267 + 0.00953977i
\(259\) −3.99077 + 12.2823i −0.247974 + 0.763186i
\(260\) −19.3128 22.4251i −1.19773 1.39074i
\(261\) 2.68773 + 1.95275i 0.166367 + 0.120872i
\(262\) −1.97167 + 2.18977i −0.121810 + 0.135284i
\(263\) −1.23124 + 11.7144i −0.0759213 + 0.722343i 0.888662 + 0.458564i \(0.151636\pi\)
−0.964583 + 0.263780i \(0.915031\pi\)
\(264\) −0.323541 + 0.144050i −0.0199126 + 0.00886565i
\(265\) 9.18070 + 28.2553i 0.563966 + 1.73571i
\(266\) 1.92731 0.858093i 0.118171 0.0526130i
\(267\) 0.169264 + 1.61044i 0.0103588 + 0.0985571i
\(268\) 4.36113 13.4222i 0.266398 0.819890i
\(269\) −1.08216 10.2961i −0.0659806 0.627764i −0.976681 0.214696i \(-0.931124\pi\)
0.910700 0.413068i \(-0.135543\pi\)
\(270\) −0.576167 + 0.639898i −0.0350644 + 0.0389430i
\(271\) 0.497381 0.552398i 0.0302138 0.0335558i −0.727849 0.685738i \(-0.759480\pi\)
0.758062 + 0.652182i \(0.226146\pi\)
\(272\) −6.73210 + 20.7193i −0.408193 + 1.25629i
\(273\) 1.27644 0.885017i 0.0772534 0.0535637i
\(274\) −0.791024 −0.0477875
\(275\) 31.9904 6.79978i 1.92910 0.410042i
\(276\) −0.0132091 + 0.125676i −0.000795094 + 0.00756481i
\(277\) 0.00458316 + 0.0436059i 0.000275376 + 0.00262002i 0.994659 0.103218i \(-0.0329140\pi\)
−0.994383 + 0.105838i \(0.966247\pi\)
\(278\) −3.58698 −0.215133
\(279\) 2.97039 + 16.2773i 0.177833 + 0.974498i
\(280\) 4.35501 7.54310i 0.260262 0.450786i
\(281\) −15.6728 + 11.3869i −0.934959 + 0.679288i −0.947202 0.320637i \(-0.896103\pi\)
0.0122426 + 0.999925i \(0.496103\pi\)
\(282\) −0.110539 + 0.0492151i −0.00658250 + 0.00293072i
\(283\) 15.4223 3.27812i 0.916763 0.194864i 0.274712 0.961526i \(-0.411417\pi\)
0.642050 + 0.766662i \(0.278084\pi\)
\(284\) 2.63697 + 4.56736i 0.156475 + 0.271023i
\(285\) 2.83043 0.167660
\(286\) 1.86900 + 0.440590i 0.110516 + 0.0260526i
\(287\) −7.15654 22.0256i −0.422437 1.30013i
\(288\) 4.74952 5.27488i 0.279868 0.310825i
\(289\) 15.2975 + 6.81088i 0.899853 + 0.400640i
\(290\) 0.641985 + 0.712997i 0.0376987 + 0.0418686i
\(291\) 0.114205 0.0829745i 0.00669479 0.00486405i
\(292\) 9.76986 4.34982i 0.571738 0.254554i
\(293\) 2.44863 + 0.520473i 0.143051 + 0.0304064i 0.278880 0.960326i \(-0.410037\pi\)
−0.135830 + 0.990732i \(0.543370\pi\)
\(294\) −0.0118395 0.00860189i −0.000690493 0.000501673i
\(295\) −0.850328 + 0.378590i −0.0495080 + 0.0220424i
\(296\) −2.73100 + 3.03309i −0.158736 + 0.176295i
\(297\) −0.272814 + 2.59565i −0.0158303 + 0.150615i
\(298\) −0.0614147 + 0.0446204i −0.00355766 + 0.00258479i
\(299\) 0.949224 1.00854i 0.0548950 0.0583256i
\(300\) 3.34613 2.43110i 0.193189 0.140360i
\(301\) −18.7914 + 20.8700i −1.08312 + 1.20293i
\(302\) −0.930603 + 1.03354i −0.0535502 + 0.0594735i
\(303\) −0.930621 1.03356i −0.0534628 0.0593764i
\(304\) −15.0718 −0.864427
\(305\) −11.4787 + 19.8816i −0.657266 + 1.13842i
\(306\) −2.36493 2.62652i −0.135194 0.150148i
\(307\) −6.07817 4.41605i −0.346900 0.252037i 0.400668 0.916223i \(-0.368778\pi\)
−0.747567 + 0.664186i \(0.768778\pi\)
\(308\) −1.36520 12.9890i −0.0777892 0.740115i
\(309\) 0.757665 + 1.31231i 0.0431021 + 0.0746549i
\(310\) −0.138263 + 4.77639i −0.00785280 + 0.271281i
\(311\) 19.9965 1.13390 0.566948 0.823753i \(-0.308124\pi\)
0.566948 + 0.823753i \(0.308124\pi\)
\(312\) 0.482288 0.0914388i 0.0273042 0.00517670i
\(313\) −5.06762 3.68184i −0.286439 0.208110i 0.435282 0.900294i \(-0.356649\pi\)
−0.721721 + 0.692184i \(0.756649\pi\)
\(314\) 4.45733 0.947436i 0.251542 0.0534669i
\(315\) −15.9711 27.6627i −0.899869 1.55862i
\(316\) 5.14683 8.91457i 0.289532 0.501484i
\(317\) −7.62009 + 23.4522i −0.427987 + 1.31721i 0.472118 + 0.881535i \(0.343490\pi\)
−0.900105 + 0.435673i \(0.856510\pi\)
\(318\) −0.238452 0.0506844i −0.0133717 0.00284224i
\(319\) 2.84455 + 0.604627i 0.159264 + 0.0338526i
\(320\) −23.7786 + 17.2762i −1.32927 + 0.965768i
\(321\) −0.911037 1.01181i −0.0508491 0.0564737i
\(322\) 0.184213 + 0.0820171i 0.0102658 + 0.00457064i
\(323\) −2.44030 + 23.2179i −0.135782 + 1.29188i
\(324\) −5.29250 16.2886i −0.294028 0.904924i
\(325\) −45.3196 1.00035i −2.51388 0.0554893i
\(326\) −1.82526 1.32613i −0.101092 0.0734473i
\(327\) −0.299279 + 0.332383i −0.0165502 + 0.0183808i
\(328\) 0.765055 7.27901i 0.0422431 0.401916i
\(329\) −0.942832 8.97045i −0.0519800 0.494557i
\(330\) −0.115908 + 0.356727i −0.00638051 + 0.0196372i
\(331\) −3.74300 35.6123i −0.205734 1.95743i −0.279478 0.960152i \(-0.590161\pi\)
0.0737441 0.997277i \(-0.476505\pi\)
\(332\) 25.9226 + 5.51003i 1.42269 + 0.302402i
\(333\) 4.62529 + 14.2352i 0.253464 + 0.780083i
\(334\) −1.75506 1.94920i −0.0960328 0.106655i
\(335\) −15.1068 26.1657i −0.825370 1.42958i
\(336\) −0.807789 1.39913i −0.0440685 0.0763289i
\(337\) −8.44278 + 25.9842i −0.459908 + 1.41545i 0.405368 + 0.914154i \(0.367143\pi\)
−0.865276 + 0.501296i \(0.832857\pi\)
\(338\) −2.38128 1.18877i −0.129524 0.0646603i
\(339\) −2.07829 + 1.50997i −0.112877 + 0.0820102i
\(340\) 23.8410 + 41.2937i 1.29296 + 2.23947i
\(341\) 8.17064 + 11.9589i 0.442465 + 0.647611i
\(342\) 1.22257 2.11755i 0.0661090 0.114504i
\(343\) 15.4033 11.1911i 0.831700 0.604265i
\(344\) −8.10805 + 3.60994i −0.437157 + 0.194635i
\(345\) 0.181023 + 0.201046i 0.00974595 + 0.0108240i
\(346\) −1.30447 −0.0701289
\(347\) 5.76822 9.99085i 0.309654 0.536337i −0.668632 0.743593i \(-0.733120\pi\)
0.978287 + 0.207256i \(0.0664534\pi\)
\(348\) 0.359735 0.0764639i 0.0192838 0.00409890i
\(349\) 23.1699 25.7328i 1.24026 1.37745i 0.340979 0.940071i \(-0.389241\pi\)
0.899279 0.437376i \(-0.144092\pi\)
\(350\) −2.03948 6.27688i −0.109015 0.335513i
\(351\) 1.19352 3.41494i 0.0637053 0.182276i
\(352\) 1.92000 5.90916i 0.102336 0.314959i
\(353\) −14.5773 6.49024i −0.775873 0.345441i −0.0196940 0.999806i \(-0.506269\pi\)
−0.756179 + 0.654365i \(0.772936\pi\)
\(354\) 0.000798349 0.00759578i 4.24318e−5 0.000403711i
\(355\) 11.0439 + 2.34746i 0.586151 + 0.124590i
\(356\) −15.2681 11.0929i −0.809208 0.587924i
\(357\) −2.28614 + 1.01785i −0.120995 + 0.0538705i
\(358\) −2.17286 0.461857i −0.114839 0.0244099i
\(359\) 29.8641 + 21.6976i 1.57617 + 1.14515i 0.920927 + 0.389734i \(0.127433\pi\)
0.655241 + 0.755420i \(0.272567\pi\)
\(360\) −1.05520 10.0396i −0.0556141 0.529133i
\(361\) 2.78649 0.592287i 0.146658 0.0311730i
\(362\) 2.87605 + 1.28050i 0.151162 + 0.0673015i
\(363\) −0.219771 0.676386i −0.0115350 0.0355011i
\(364\) −2.28905 + 17.9571i −0.119979 + 0.941207i
\(365\) 7.07498 21.7745i 0.370321 1.13973i
\(366\) −0.0941875 0.163137i −0.00492326 0.00852733i
\(367\) 10.1879 + 17.6460i 0.531805 + 0.921113i 0.999311 + 0.0371229i \(0.0118193\pi\)
−0.467506 + 0.883990i \(0.654847\pi\)
\(368\) −0.963932 1.07056i −0.0502485 0.0558066i
\(369\) −21.7151 15.7769i −1.13044 0.821314i
\(370\) 0.451832 + 4.29889i 0.0234896 + 0.223489i
\(371\) 9.08616 15.7377i 0.471730 0.817060i
\(372\) 1.55910 + 0.961347i 0.0808357 + 0.0498435i
\(373\) 18.7860 32.5384i 0.972705 1.68477i 0.285394 0.958410i \(-0.407876\pi\)
0.687311 0.726364i \(-0.258791\pi\)
\(374\) −2.82629 1.25835i −0.146144 0.0650675i
\(375\) 0.557468 5.30396i 0.0287875 0.273895i
\(376\) 0.880886 2.71109i 0.0454282 0.139814i
\(377\) −3.64519 1.72031i −0.187737 0.0886005i
\(378\) 0.526689 0.0270900
\(379\) −35.5805 + 7.56287i −1.82765 + 0.388478i −0.987975 0.154614i \(-0.950586\pi\)
−0.839673 + 0.543093i \(0.817253\pi\)
\(380\) −22.0730 + 24.5146i −1.13232 + 1.25757i
\(381\) 2.46049 + 0.522992i 0.126055 + 0.0267937i
\(382\) −2.61117 + 1.89713i −0.133599 + 0.0970656i
\(383\) −18.4261 20.4643i −0.941532 1.04568i −0.998880 0.0473226i \(-0.984931\pi\)
0.0573480 0.998354i \(-0.481736\pi\)
\(384\) −0.109102 1.03803i −0.00556757 0.0529719i
\(385\) −22.6205 16.4348i −1.15285 0.837593i
\(386\) 1.92050 + 0.408214i 0.0977508 + 0.0207776i
\(387\) −3.40225 + 32.3703i −0.172946 + 1.64547i
\(388\) −0.171972 + 1.63621i −0.00873058 + 0.0830659i
\(389\) −9.00535 27.7156i −0.456589 1.40524i −0.869259 0.494357i \(-0.835404\pi\)
0.412670 0.910881i \(-0.364596\pi\)
\(390\) 0.269814 0.444386i 0.0136626 0.0225024i
\(391\) −1.80525 + 1.31159i −0.0912954 + 0.0663300i
\(392\) 0.337234 0.0716813i 0.0170329 0.00362045i
\(393\) 2.20904 + 0.983526i 0.111431 + 0.0496123i
\(394\) −2.70277 0.574492i −0.136164 0.0289425i
\(395\) −6.80984 20.9585i −0.342640 1.05454i
\(396\) −10.1287 11.2491i −0.508987 0.565287i
\(397\) −0.891187 + 1.54358i −0.0447274 + 0.0774701i −0.887522 0.460765i \(-0.847575\pi\)
0.842795 + 0.538235i \(0.180909\pi\)
\(398\) 4.19797 0.210425
\(399\) −1.15846 1.28660i −0.0579954 0.0644104i
\(400\) −4.92852 + 46.8917i −0.246426 + 2.34459i
\(401\) −23.4047 10.4205i −1.16878 0.520373i −0.271758 0.962366i \(-0.587605\pi\)
−0.897019 + 0.441992i \(0.854272\pi\)
\(402\) 0.247915 0.0123649
\(403\) −7.21950 18.7318i −0.359629 0.933095i
\(404\) 16.2091 0.806435
\(405\) −33.4960 14.9134i −1.66443 0.741052i
\(406\) 0.0613430 0.583640i 0.00304440 0.0289656i
\(407\) 8.76694 + 9.73667i 0.434561 + 0.482629i
\(408\) −0.790878 −0.0391543
\(409\) 6.23816 10.8048i 0.308457 0.534264i −0.669568 0.742751i \(-0.733521\pi\)
0.978025 + 0.208487i \(0.0668540\pi\)
\(410\) −5.18681 5.76053i −0.256158 0.284492i
\(411\) 0.200595 + 0.617368i 0.00989463 + 0.0304525i
\(412\) −17.2747 3.67185i −0.851062 0.180899i
\(413\) 0.520119 + 0.231572i 0.0255934 + 0.0113949i
\(414\) 0.228601 0.0485907i 0.0112351 0.00238810i
\(415\) 45.9004 33.3486i 2.25316 1.63702i
\(416\) −4.46944 + 7.36122i −0.219133 + 0.360913i
\(417\) 0.909618 + 2.79952i 0.0445442 + 0.137093i
\(418\) 0.223727 2.12862i 0.0109428 0.104114i
\(419\) 1.67817 15.9667i 0.0819838 0.780024i −0.873866 0.486167i \(-0.838395\pi\)
0.955850 0.293857i \(-0.0949388\pi\)
\(420\) −3.45874 0.735178i −0.168769 0.0358730i
\(421\) 4.52944 + 3.29083i 0.220751 + 0.160385i 0.692665 0.721260i \(-0.256437\pi\)
−0.471913 + 0.881645i \(0.656437\pi\)
\(422\) 0.416564 + 3.96334i 0.0202780 + 0.192932i
\(423\) −6.99510 7.76884i −0.340113 0.377734i
\(424\) 4.64628 3.37572i 0.225643 0.163939i
\(425\) 71.4381 + 15.1846i 3.46526 + 0.736564i
\(426\) −0.0619916 + 0.0688486i −0.00300350 + 0.00333573i
\(427\) 13.7354 2.91955i 0.664704 0.141287i
\(428\) 15.8680 0.767011
\(429\) −0.130092 1.57042i −0.00628089 0.0758206i
\(430\) −2.90469 + 8.93971i −0.140077 + 0.431111i
\(431\) 0.950527 9.04366i 0.0457853 0.435618i −0.947485 0.319800i \(-0.896384\pi\)
0.993270 0.115818i \(-0.0369490\pi\)
\(432\) −3.43739 1.53042i −0.165382 0.0736326i
\(433\) −13.1756 + 22.8208i −0.633179 + 1.09670i 0.353718 + 0.935352i \(0.384917\pi\)
−0.986898 + 0.161347i \(0.948416\pi\)
\(434\) 2.22774 1.89207i 0.106935 0.0908220i
\(435\) 0.393670 0.681857i 0.0188750 0.0326925i
\(436\) −0.544877 5.18415i −0.0260949 0.248276i
\(437\) −1.24892 0.907393i −0.0597439 0.0434065i
\(438\) 0.125706 + 0.139611i 0.00600646 + 0.00667085i
\(439\) −1.83732 3.18233i −0.0876904 0.151884i 0.818844 0.574016i \(-0.194615\pi\)
−0.906535 + 0.422132i \(0.861282\pi\)
\(440\) −4.41827 7.65267i −0.210633 0.364827i
\(441\) 0.390711 1.20248i 0.0186053 0.0572611i
\(442\) 3.41266 + 2.59641i 0.162324 + 0.123499i
\(443\) 3.61978 + 11.1405i 0.171981 + 0.529303i 0.999483 0.0321599i \(-0.0102386\pi\)
−0.827502 + 0.561463i \(0.810239\pi\)
\(444\) 1.51369 + 0.673937i 0.0718364 + 0.0319836i
\(445\) −39.5200 + 8.40023i −1.87343 + 0.398209i
\(446\) −0.237568 2.26031i −0.0112492 0.107029i
\(447\) 0.0503988 + 0.0366169i 0.00238378 + 0.00173192i
\(448\) 17.5853 + 3.73787i 0.830828 + 0.176598i
\(449\) −22.6566 + 10.0874i −1.06923 + 0.476052i −0.864430 0.502752i \(-0.832321\pi\)
−0.204799 + 0.978804i \(0.565654\pi\)
\(450\) −6.18840 4.49613i −0.291724 0.211950i
\(451\) −22.9820 4.88498i −1.08218 0.230025i
\(452\) 3.12955 29.7757i 0.147202 1.40053i
\(453\) 1.04263 + 0.464211i 0.0489872 + 0.0218105i
\(454\) 0.154455 0.475364i 0.00724894 0.0223099i
\(455\) 25.2899 + 29.3653i 1.18561 + 1.37667i
\(456\) −0.169079 0.520371i −0.00791783 0.0243686i
\(457\) 13.5929 15.0965i 0.635850 0.706183i −0.335979 0.941869i \(-0.609067\pi\)
0.971829 + 0.235687i \(0.0757339\pi\)
\(458\) 2.14134 0.455155i 0.100058 0.0212680i
\(459\) −2.91415 + 5.04746i −0.136021 + 0.235595i
\(460\) −3.15298 −0.147008
\(461\) −2.72725 3.02892i −0.127021 0.141071i 0.676279 0.736645i \(-0.263591\pi\)
−0.803300 + 0.595574i \(0.796925\pi\)
\(462\) 0.209593 0.0933169i 0.00975115 0.00434149i
\(463\) 4.78402 3.47579i 0.222332 0.161534i −0.471044 0.882110i \(-0.656123\pi\)
0.693376 + 0.720576i \(0.256123\pi\)
\(464\) −2.09626 + 3.63083i −0.0973164 + 0.168557i
\(465\) 3.76288 1.10333i 0.174499 0.0511658i
\(466\) 2.76422 + 4.78777i 0.128050 + 0.221789i
\(467\) 8.70718 6.32614i 0.402920 0.292739i −0.367809 0.929901i \(-0.619892\pi\)
0.770729 + 0.637163i \(0.219892\pi\)
\(468\) 10.0868 + 18.3968i 0.466262 + 0.850394i
\(469\) −5.71084 + 17.5762i −0.263702 + 0.811592i
\(470\) −1.50952 2.61456i −0.0696289 0.120601i
\(471\) −1.86977 3.23854i −0.0861546 0.149224i
\(472\) 0.120398 + 0.133716i 0.00554179 + 0.00615478i
\(473\) 8.80429 + 27.0968i 0.404822 + 1.24591i
\(474\) 0.176873 + 0.0375955i 0.00812404 + 0.00172682i
\(475\) 5.28150 + 50.2501i 0.242332 + 2.30563i
\(476\) 9.01265 27.7381i 0.413094 1.27137i
\(477\) −2.20155 20.9463i −0.100802 0.959066i
\(478\) −0.271145 + 2.57977i −0.0124019 + 0.117996i
\(479\) −3.22119 + 3.57750i −0.147180 + 0.163460i −0.812227 0.583342i \(-0.801745\pi\)
0.665047 + 0.746802i \(0.268412\pi\)
\(480\) −1.36091 0.988761i −0.0621169 0.0451306i
\(481\) −8.73067 15.9235i −0.398084 0.726047i
\(482\) 0.661205 + 2.03498i 0.0301171 + 0.0926908i
\(483\) 0.0172971 0.164571i 0.000787047 0.00748825i
\(484\) 7.57211 + 3.37132i 0.344187 + 0.153242i
\(485\) 2.35678 + 2.61747i 0.107016 + 0.118853i
\(486\) 0.741942 0.539052i 0.0336552 0.0244519i
\(487\) 4.65473 + 0.989394i 0.210926 + 0.0448337i 0.312163 0.950029i \(-0.398947\pi\)
−0.101237 + 0.994862i \(0.532280\pi\)
\(488\) 4.34090 + 0.922686i 0.196503 + 0.0417680i
\(489\) −0.572133 + 1.76084i −0.0258727 + 0.0796281i
\(490\) 0.182569 0.316220i 0.00824765 0.0142853i
\(491\) −2.32224 4.02223i −0.104801 0.181521i 0.808856 0.588007i \(-0.200087\pi\)
−0.913657 + 0.406486i \(0.866754\pi\)
\(492\) −2.90641 + 0.617777i −0.131031 + 0.0278515i
\(493\) 5.25384 + 3.81714i 0.236621 + 0.171915i
\(494\) −0.978771 + 2.80049i −0.0440370 + 0.126000i
\(495\) −32.4062 −1.45655
\(496\) −20.0370 + 5.87515i −0.899689 + 0.263802i
\(497\) −3.45308 5.98090i −0.154892 0.268280i
\(498\) 0.0486627 + 0.462994i 0.00218063 + 0.0207473i
\(499\) −21.6652 15.7407i −0.969866 0.704649i −0.0144451 0.999896i \(-0.504598\pi\)
−0.955421 + 0.295247i \(0.904598\pi\)
\(500\) 41.5906 + 46.1910i 1.85999 + 2.06572i
\(501\) −1.07622 + 1.86406i −0.0480819 + 0.0832802i
\(502\) 4.22993 0.188791
\(503\) 2.03937 + 2.26495i 0.0909312 + 0.100989i 0.786893 0.617090i \(-0.211688\pi\)
−0.695962 + 0.718079i \(0.745022\pi\)
\(504\) −4.13171 + 4.58872i −0.184041 + 0.204398i
\(505\) 23.2196 25.7880i 1.03326 1.14755i
\(506\) 0.165505 0.120247i 0.00735761 0.00534562i
\(507\) −0.323927 + 2.15997i −0.0143861 + 0.0959275i
\(508\) −23.7177 + 17.2319i −1.05230 + 0.764542i
\(509\) −0.790721 + 7.52321i −0.0350481 + 0.333461i 0.962922 + 0.269779i \(0.0869507\pi\)
−0.997970 + 0.0636812i \(0.979716\pi\)
\(510\) −0.560468 + 0.622463i −0.0248180 + 0.0275631i
\(511\) −12.7935 + 5.69603i −0.565951 + 0.251978i
\(512\) 12.1640 + 8.83764i 0.537577 + 0.390572i
\(513\) −3.94406 0.838337i −0.174135 0.0370135i
\(514\) −2.88310 + 1.28364i −0.127168 + 0.0566189i
\(515\) −30.5878 + 22.2233i −1.34786 + 0.979276i
\(516\) 2.41097 + 2.67765i 0.106137 + 0.117877i
\(517\) −8.35975 3.72200i −0.367661 0.163693i
\(518\) 1.76917 1.96486i 0.0777329 0.0863311i
\(519\) 0.330800 + 1.01810i 0.0145205 + 0.0446896i
\(520\) 3.52680 + 11.7290i 0.154660 + 0.514352i
\(521\) 12.9430 0.567044 0.283522 0.958966i \(-0.408497\pi\)
0.283522 + 0.958966i \(0.408497\pi\)
\(522\) −0.340082 0.589039i −0.0148850 0.0257815i
\(523\) 17.6875 3.75960i 0.773421 0.164396i 0.195737 0.980656i \(-0.437290\pi\)
0.577684 + 0.816261i \(0.303957\pi\)
\(524\) −25.7455 + 11.4626i −1.12470 + 0.500747i
\(525\) −4.38171 + 3.18350i −0.191233 + 0.138939i
\(526\) 1.20576 2.08844i 0.0525738 0.0910605i
\(527\) 5.80637 + 31.8180i 0.252929 + 1.38602i
\(528\) −1.63905 −0.0713303
\(529\) 2.38873 + 22.7273i 0.103858 + 0.988142i
\(530\) 0.635789 6.04913i 0.0276169 0.262757i
\(531\) 0.645446 0.137194i 0.0280100 0.00595370i
\(532\) 20.1775 0.874806
\(533\) 29.4507 + 13.8989i 1.27565 + 0.602030i
\(534\) 0.102446 0.315298i 0.00443329 0.0136443i
\(535\) 22.7310 25.2453i 0.982747 1.09145i
\(536\) −3.90810 + 4.34039i −0.168804 + 0.187476i
\(537\) 0.190551 + 1.81297i 0.00822288 + 0.0782355i
\(538\) −0.654976 + 2.01581i −0.0282380 + 0.0869077i
\(539\) −0.115688 1.10070i −0.00498303 0.0474103i
\(540\) −7.52340 + 3.34963i −0.323756 + 0.144145i
\(541\) −3.11181 9.57717i −0.133787 0.411755i 0.861612 0.507567i \(-0.169455\pi\)
−0.995399 + 0.0958126i \(0.969455\pi\)
\(542\) −0.139025 + 0.0618980i −0.00597165 + 0.00265875i
\(543\) 0.270053 2.56938i 0.0115891 0.110263i
\(544\) 9.28411 10.3110i 0.398053 0.442082i
\(545\) −9.02830 6.55944i −0.386730 0.280976i
\(546\) −0.312431 + 0.0592350i −0.0133708 + 0.00253502i
\(547\) 3.73531 11.4961i 0.159710 0.491538i −0.838897 0.544290i \(-0.816799\pi\)
0.998608 + 0.0527520i \(0.0167993\pi\)
\(548\) −6.91141 3.07716i −0.295241 0.131450i
\(549\) 10.8901 12.0947i 0.464778 0.516188i
\(550\) −6.54945 1.39213i −0.279270 0.0593606i
\(551\) −1.38835 + 4.27290i −0.0591456 + 0.182032i
\(552\) 0.0261485 0.0452905i 0.00111295 0.00192769i
\(553\) −6.73971 + 11.6735i −0.286602 + 0.496409i
\(554\) 0.00277395 0.00853733i 0.000117854 0.000362716i
\(555\) 3.24057 1.44279i 0.137554 0.0612431i
\(556\) −31.3405 13.9537i −1.32913 0.591767i
\(557\) 22.7625 + 39.4258i 0.964477 + 1.67052i 0.711014 + 0.703178i \(0.248236\pi\)
0.253463 + 0.967345i \(0.418430\pi\)
\(558\) 0.799885 3.29172i 0.0338618 0.139350i
\(559\) −3.26014 39.3553i −0.137889 1.66455i
\(560\) 32.6113 23.6935i 1.37808 1.00123i
\(561\) −0.265381 + 2.52493i −0.0112044 + 0.106603i
\(562\) 3.87952 0.824617i 0.163648 0.0347844i
\(563\) 15.6285 27.0693i 0.658662 1.14084i −0.322300 0.946638i \(-0.604456\pi\)
0.980962 0.194199i \(-0.0622106\pi\)
\(564\) −1.15726 −0.0487296
\(565\) −42.8887 47.6327i −1.80434 2.00392i
\(566\) −3.15744 0.671135i −0.132717 0.0282099i
\(567\) 6.93046 + 21.3298i 0.291052 + 0.895766i
\(568\) −0.228143 2.17064i −0.00957269 0.0910780i
\(569\) 8.41838 1.78938i 0.352917 0.0750148i −0.0280421 0.999607i \(-0.508927\pi\)
0.380959 + 0.924592i \(0.375594\pi\)
\(570\) −0.529380 0.235695i −0.0221733 0.00987219i
\(571\) 23.5051 + 17.0774i 0.983656 + 0.714668i 0.958523 0.285016i \(-0.0919990\pi\)
0.0251333 + 0.999684i \(0.491999\pi\)
\(572\) 14.6160 + 11.1201i 0.611127 + 0.464956i
\(573\) 2.14281 + 1.55684i 0.0895173 + 0.0650381i
\(574\) −0.495610 + 4.71542i −0.0206864 + 0.196818i
\(575\) −3.23150 + 3.58895i −0.134763 + 0.149669i
\(576\) 19.0353 8.47504i 0.793136 0.353127i
\(577\) −5.59542 + 4.06531i −0.232940 + 0.169241i −0.698132 0.715969i \(-0.745985\pi\)
0.465192 + 0.885210i \(0.345985\pi\)
\(578\) −2.29396 2.54770i −0.0954162 0.105970i
\(579\) −0.168419 1.60240i −0.00699927 0.0665936i
\(580\) 2.83559 + 8.72704i 0.117741 + 0.362371i
\(581\) −33.9453 7.21531i −1.40829 0.299341i
\(582\) −0.0282693 + 0.00600883i −0.00117180 + 0.000249074i
\(583\) −9.21814 15.9663i −0.381776 0.661256i
\(584\) −4.42585 −0.183143
\(585\) 43.7179 + 10.3059i 1.80751 + 0.426096i
\(586\) −0.414631 0.301247i −0.0171283 0.0124444i
\(587\) 24.8138 + 11.0478i 1.02417 + 0.455992i 0.848915 0.528530i \(-0.177257\pi\)
0.175260 + 0.984522i \(0.443923\pi\)
\(588\) −0.0699829 0.121214i −0.00288605 0.00499878i
\(589\) −19.6939 + 10.6226i −0.811472 + 0.437698i
\(590\) 0.190564 0.00784540
\(591\) 0.237021 + 2.25511i 0.00974976 + 0.0927627i
\(592\) −17.2557 + 7.68275i −0.709206 + 0.315759i
\(593\) 3.64472 11.2173i 0.149671 0.460638i −0.847911 0.530138i \(-0.822140\pi\)
0.997582 + 0.0694993i \(0.0221402\pi\)
\(594\) 0.267170 0.462752i 0.0109621 0.0189869i
\(595\) −31.2194 54.0736i −1.27987 2.21680i
\(596\) −0.710175 + 0.150952i −0.0290899 + 0.00618325i
\(597\) −1.06456 3.27638i −0.0435695 0.134093i
\(598\) −0.261518 + 0.109586i −0.0106943 + 0.00448130i
\(599\) −18.7624 + 13.6317i −0.766612 + 0.556976i −0.900931 0.433962i \(-0.857115\pi\)
0.134319 + 0.990938i \(0.457115\pi\)
\(600\) −1.67428 + 0.355879i −0.0683521 + 0.0145287i
\(601\) −15.3954 6.85448i −0.627992 0.279600i 0.0679603 0.997688i \(-0.478351\pi\)
−0.695952 + 0.718088i \(0.745018\pi\)
\(602\) 5.25247 2.33855i 0.214075 0.0953123i
\(603\) 6.61886 + 20.3708i 0.269541 + 0.829561i
\(604\) −12.1515 + 5.41020i −0.494438 + 0.220138i
\(605\) 16.2107 7.21747i 0.659058 0.293432i
\(606\) 0.0879892 + 0.270803i 0.00357431 + 0.0110006i
\(607\) −18.7904 + 8.36601i −0.762678 + 0.339566i −0.750945 0.660365i \(-0.770401\pi\)
−0.0117330 + 0.999931i \(0.503735\pi\)
\(608\) 8.76913 + 3.90427i 0.355635 + 0.158339i
\(609\) −0.471068 + 0.100129i −0.0190886 + 0.00405741i
\(610\) 3.80245 2.76264i 0.153957 0.111856i
\(611\) 10.0941 + 7.67980i 0.408365 + 0.310691i
\(612\) −10.4456 32.1484i −0.422240 1.29952i
\(613\) −13.2841 + 2.82362i −0.536540 + 0.114045i −0.468209 0.883618i \(-0.655101\pi\)
−0.0683307 + 0.997663i \(0.521767\pi\)
\(614\) 0.769078 + 1.33208i 0.0310375 + 0.0537584i
\(615\) −3.18059 + 5.50894i −0.128254 + 0.222142i
\(616\) −1.67025 + 5.14050i −0.0672962 + 0.207117i
\(617\) 17.9058 7.97219i 0.720862 0.320948i −0.0133107 0.999911i \(-0.504237\pi\)
0.734172 + 0.678963i \(0.237570\pi\)
\(618\) −0.0324285 0.308536i −0.00130447 0.0124112i
\(619\) 17.9720 0.722354 0.361177 0.932497i \(-0.382375\pi\)
0.361177 + 0.932497i \(0.382375\pi\)
\(620\) −19.7886 + 41.1949i −0.794731 + 1.65443i
\(621\) −0.192699 0.333765i −0.00773276 0.0133935i
\(622\) −3.73997 1.66514i −0.149959 0.0667662i
\(623\) 19.9934 + 14.5260i 0.801018 + 0.581974i
\(624\) 2.21118 + 0.521253i 0.0885179 + 0.0208668i
\(625\) 70.2042 2.80817
\(626\) 0.641211 + 1.11061i 0.0256280 + 0.0443889i
\(627\) −1.71805 + 0.365184i −0.0686124 + 0.0145840i
\(628\) 42.6306 + 9.06142i 1.70115 + 0.361590i
\(629\) 9.04127 + 27.8262i 0.360499 + 1.10950i
\(630\) 0.683572 + 6.50375i 0.0272341 + 0.259116i
\(631\) 4.35493 + 4.83664i 0.173367 + 0.192544i 0.823566 0.567220i \(-0.191981\pi\)
−0.650199 + 0.759764i \(0.725314\pi\)
\(632\) −3.44640 + 2.50396i −0.137091 + 0.0996021i
\(633\) 2.98762 1.33017i 0.118747 0.0528697i
\(634\) 3.37811 3.75177i 0.134162 0.149002i
\(635\) −6.56045 + 62.4186i −0.260344 + 2.47700i
\(636\) −1.88625 1.37044i −0.0747948 0.0543416i
\(637\) −0.193976 + 1.52170i −0.00768560 + 0.0602919i
\(638\) −0.481672 0.349955i −0.0190696 0.0138549i
\(639\) −7.31222 3.25561i −0.289267 0.128790i
\(640\) 25.4732 5.41450i 1.00692 0.214027i
\(641\) −2.96183 28.1799i −0.116985 1.11304i −0.882725 0.469889i \(-0.844294\pi\)
0.765740 0.643150i \(-0.222373\pi\)
\(642\) 0.0861375 + 0.265104i 0.00339958 + 0.0104628i
\(643\) 18.3530 + 3.90106i 0.723773 + 0.153843i 0.555045 0.831820i \(-0.312701\pi\)
0.168727 + 0.985663i \(0.446034\pi\)
\(644\) 1.29047 + 1.43321i 0.0508517 + 0.0564766i
\(645\) 7.71375 0.303729
\(646\) 2.38981 4.13928i 0.0940260 0.162858i
\(647\) 0.487897 0.103706i 0.0191812 0.00407709i −0.198311 0.980139i \(-0.563546\pi\)
0.217492 + 0.976062i \(0.430212\pi\)
\(648\) −0.740886 + 7.04906i −0.0291048 + 0.276913i
\(649\) 0.467298 0.339512i 0.0183430 0.0133270i
\(650\) 8.39289 + 3.96094i 0.329196 + 0.155361i
\(651\) −2.04163 1.25887i −0.0800176 0.0493390i
\(652\) −10.7890 18.6872i −0.422531 0.731846i
\(653\) 21.1567 + 9.41958i 0.827926 + 0.368617i 0.776544 0.630063i \(-0.216971\pi\)
0.0513819 + 0.998679i \(0.483637\pi\)
\(654\) 0.0836528 0.0372446i 0.00327108 0.00145638i
\(655\) −18.6439 + 57.3802i −0.728479 + 2.24203i
\(656\) 16.9364 29.3346i 0.661254 1.14533i
\(657\) −8.11544 + 14.0564i −0.316613 + 0.548391i
\(658\) −0.570647 + 1.75627i −0.0222461 + 0.0684665i
\(659\) −9.74327 2.07100i −0.379544 0.0806745i 0.0141893 0.999899i \(-0.495483\pi\)
−0.393733 + 0.919225i \(0.628817\pi\)
\(660\) −2.40042 + 2.66594i −0.0934363 + 0.103772i
\(661\) 28.9718 + 12.8991i 1.12687 + 0.501716i 0.883600 0.468242i \(-0.155112\pi\)
0.243273 + 0.969958i \(0.421779\pi\)
\(662\) −2.26544 + 6.97232i −0.0880489 + 0.270987i
\(663\) 1.16100 3.32189i 0.0450895 0.129012i
\(664\) −8.87301 6.44662i −0.344339 0.250177i
\(665\) 28.9043 32.1015i 1.12086 1.24484i
\(666\) 0.320314 3.04759i 0.0124119 0.118092i
\(667\) −0.392299 + 0.174663i −0.0151899 + 0.00676296i
\(668\) −7.75195 23.8580i −0.299932 0.923095i
\(669\) −1.70385 + 0.758604i −0.0658748 + 0.0293293i
\(670\) 0.646578 + 6.15178i 0.0249795 + 0.237664i
\(671\) 4.40234 13.5490i 0.169950 0.523053i
\(672\) 0.107553 + 1.02330i 0.00414896 + 0.0394747i
\(673\) −23.1804 + 25.7444i −0.893537 + 0.992373i −0.999998 0.00194354i \(-0.999381\pi\)
0.106461 + 0.994317i \(0.466048\pi\)
\(674\) 3.74282 4.15682i 0.144168 0.160115i
\(675\) −3.89797 + 11.9967i −0.150033 + 0.461754i
\(676\) −16.1815 19.6500i −0.622365 0.755768i
\(677\) 6.87801 0.264343 0.132172 0.991227i \(-0.457805\pi\)
0.132172 + 0.991227i \(0.457805\pi\)
\(678\) 0.514444 0.109349i 0.0197571 0.00419951i
\(679\) 0.225196 2.14259i 0.00864222 0.0822252i
\(680\) −2.06266 19.6249i −0.0790992 0.752579i
\(681\) −0.410174 −0.0157179
\(682\) −0.532328 2.91708i −0.0203839 0.111701i
\(683\) −4.23045 + 7.32736i −0.161874 + 0.280373i −0.935541 0.353219i \(-0.885087\pi\)
0.773667 + 0.633592i \(0.218420\pi\)
\(684\) 18.9194 13.7458i 0.723402 0.525583i
\(685\) −14.7962 + 6.58771i −0.565335 + 0.251703i
\(686\) −3.81281 + 0.810438i −0.145574 + 0.0309427i
\(687\) −0.898253 1.55582i −0.0342705 0.0593582i
\(688\) −41.0751 −1.56597
\(689\) 7.35821 + 24.4711i 0.280326 + 0.932275i
\(690\) −0.0171155 0.0526762i −0.000651577 0.00200535i
\(691\) 24.0204 26.6773i 0.913778 1.01485i −0.0860495 0.996291i \(-0.527424\pi\)
0.999828 0.0185626i \(-0.00590900\pi\)
\(692\) −11.3976 5.07452i −0.433270 0.192904i
\(693\) 13.2634 + 14.7305i 0.503835 + 0.559566i
\(694\) −1.91080 + 1.38827i −0.0725328 + 0.0526982i
\(695\) −67.0950 + 29.8726i −2.54506 + 1.13313i
\(696\) −0.148875 0.0316443i −0.00564308 0.00119947i
\(697\) −42.4475 30.8399i −1.60781 1.16814i
\(698\) −6.47633 + 2.88345i −0.245133 + 0.109140i
\(699\) 3.03572 3.37151i 0.114822 0.127522i
\(700\) 6.59810 62.7767i 0.249385 2.37274i
\(701\) 22.4948 16.3434i 0.849617 0.617283i −0.0754234 0.997152i \(-0.524031\pi\)
0.925040 + 0.379869i \(0.124031\pi\)
\(702\) −0.507594 + 0.539315i −0.0191579 + 0.0203551i
\(703\) −16.3758 + 11.8977i −0.617624 + 0.448730i
\(704\) 12.2045 13.5545i 0.459974 0.510853i
\(705\) −1.65778 + 1.84115i −0.0624357 + 0.0693419i
\(706\) 2.18597 + 2.42776i 0.0822699 + 0.0913700i
\(707\) −21.2257 −0.798273
\(708\) 0.0365237 0.0632609i 0.00137264 0.00237749i
\(709\) 19.7396 + 21.9230i 0.741336 + 0.823337i 0.989371 0.145414i \(-0.0464513\pi\)
−0.248035 + 0.968751i \(0.579785\pi\)
\(710\) −1.87009 1.35870i −0.0701832 0.0509911i
\(711\) 1.63301 + 15.5370i 0.0612426 + 0.582685i
\(712\) 3.90514 + 6.76389i 0.146351 + 0.253488i
\(713\) −2.01407 0.719480i −0.0754275 0.0269447i
\(714\) 0.512338 0.0191738
\(715\) 38.6292 7.32385i 1.44465 0.273896i
\(716\) −17.1883 12.4880i −0.642356 0.466699i
\(717\) 2.08219 0.442583i 0.0777607 0.0165286i
\(718\) −3.77874 6.54497i −0.141021 0.244256i
\(719\) −23.6641 + 40.9874i −0.882521 + 1.52857i −0.0339928 + 0.999422i \(0.510822\pi\)
−0.848529 + 0.529150i \(0.822511\pi\)
\(720\) 14.4370 44.4324i 0.538034 1.65590i
\(721\) 22.6210 + 4.80823i 0.842449 + 0.179068i
\(722\) −0.570483 0.121260i −0.0212312 0.00451283i
\(723\) 1.42056 1.03210i 0.0528312 0.0383841i
\(724\) 20.1476 + 22.3762i 0.748780 + 0.831604i
\(725\) 12.8399 + 5.71671i 0.476863 + 0.212313i
\(726\) −0.0152198 + 0.144806i −0.000564859 + 0.00537427i
\(727\) 9.55537 + 29.4084i 0.354389 + 1.09070i 0.956363 + 0.292182i \(0.0943812\pi\)
−0.601974 + 0.798516i \(0.705619\pi\)
\(728\) 3.88806 6.40367i 0.144101 0.237336i
\(729\) 20.6200 + 14.9813i 0.763702 + 0.554862i
\(730\) −3.13645 + 3.48338i −0.116085 + 0.128926i
\(731\) −6.65054 + 63.2756i −0.245979 + 2.34033i
\(732\) −0.188323 1.79178i −0.00696063 0.0662260i
\(733\) 3.61397 11.1226i 0.133485 0.410824i −0.861866 0.507135i \(-0.830704\pi\)
0.995351 + 0.0963112i \(0.0307044\pi\)
\(734\) −0.436048 4.14872i −0.0160948 0.153132i
\(735\) −0.293097 0.0622996i −0.0108110 0.00229796i
\(736\) 0.283517 + 0.872576i 0.0104506 + 0.0321636i
\(737\) 12.5456 + 13.9333i 0.462124 + 0.513240i
\(738\) 2.74763 + 4.75904i 0.101142 + 0.175183i
\(739\) −23.9264 41.4418i −0.880148 1.52446i −0.851176 0.524881i \(-0.824110\pi\)
−0.0289721 0.999580i \(-0.509223\pi\)
\(740\) −12.7753 + 39.3183i −0.469630 + 1.44537i
\(741\) 2.43390 + 0.0537239i 0.0894115 + 0.00197360i
\(742\) −3.00991 + 2.18682i −0.110497 + 0.0802809i
\(743\) −13.0775 22.6510i −0.479769 0.830984i 0.519962 0.854189i \(-0.325946\pi\)
−0.999731 + 0.0232057i \(0.992613\pi\)
\(744\) −0.427625 0.625891i −0.0156775 0.0229463i
\(745\) −0.777169 + 1.34610i −0.0284733 + 0.0493172i
\(746\) −6.22312 + 4.52136i −0.227845 + 0.165539i
\(747\) −36.7442 + 16.3596i −1.34440 + 0.598566i
\(748\) −19.7990 21.9891i −0.723925 0.804000i
\(749\) −20.7790 −0.759248
\(750\) −0.545935 + 0.945586i −0.0199347 + 0.0345279i
\(751\) 9.99224 2.12392i 0.364622 0.0775028i −0.0219574 0.999759i \(-0.506990\pi\)
0.386580 + 0.922256i \(0.373656\pi\)
\(752\) 8.82755 9.80399i 0.321908 0.357515i
\(753\) −1.07266 3.30132i −0.0390901 0.120307i
\(754\) 0.538512 + 0.625294i 0.0196115 + 0.0227719i
\(755\)