Properties

Label 224.2.bd.a.109.7
Level $224$
Weight $2$
Character 224.109
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 109.7
Character \(\chi\) \(=\) 224.109
Dual form 224.2.bd.a.37.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.13266 + 0.846802i) q^{2} +(0.0986144 + 0.128517i) q^{3} +(0.565853 - 1.91828i) q^{4} +(2.39507 + 1.83780i) q^{5} +(-0.220525 - 0.0620594i) q^{6} +(0.134369 - 2.64234i) q^{7} +(0.983485 + 2.65193i) q^{8} +(0.769665 - 2.87243i) q^{9} +O(q^{10})\) \(q+(-1.13266 + 0.846802i) q^{2} +(0.0986144 + 0.128517i) q^{3} +(0.565853 - 1.91828i) q^{4} +(2.39507 + 1.83780i) q^{5} +(-0.220525 - 0.0620594i) q^{6} +(0.134369 - 2.64234i) q^{7} +(0.983485 + 2.65193i) q^{8} +(0.769665 - 2.87243i) q^{9} +(-4.26906 - 0.0534610i) q^{10} +(-0.230980 - 0.0304091i) q^{11} +(0.302333 - 0.116449i) q^{12} +(0.451311 + 0.186939i) q^{13} +(2.08534 + 3.10666i) q^{14} +0.489041i q^{15} +(-3.35962 - 2.17093i) q^{16} +(5.15284 + 2.97500i) q^{17} +(1.56061 + 3.90525i) q^{18} +(0.456233 + 3.46543i) q^{19} +(4.88068 - 3.55450i) q^{20} +(0.352835 - 0.243304i) q^{21} +(0.287373 - 0.161151i) q^{22} +(0.792513 - 2.95770i) q^{23} +(-0.243832 + 0.387913i) q^{24} +(1.06475 + 3.97371i) q^{25} +(-0.669484 + 0.170432i) q^{26} +(0.894039 - 0.370323i) q^{27} +(-4.99272 - 1.75293i) q^{28} +(-3.01331 + 7.27478i) q^{29} +(-0.414121 - 0.553919i) q^{30} +(-1.65406 + 2.86492i) q^{31} +(5.64367 - 0.385998i) q^{32} +(-0.0188699 - 0.0326836i) q^{33} +(-8.35567 + 0.993769i) q^{34} +(5.17792 - 6.08164i) q^{35} +(-5.07462 - 3.10181i) q^{36} +(3.48959 + 2.67766i) q^{37} +(-3.45129 - 3.53883i) q^{38} +(0.0204809 + 0.0764359i) q^{39} +(-2.51822 + 8.15902i) q^{40} +(-7.62359 - 7.62359i) q^{41} +(-0.193614 + 0.574363i) q^{42} +(-3.49397 - 8.43518i) q^{43} +(-0.189034 + 0.425878i) q^{44} +(7.12236 - 5.46518i) q^{45} +(1.60693 + 4.02118i) q^{46} +(-3.11151 + 1.79643i) q^{47} +(-0.0523058 - 0.645853i) q^{48} +(-6.96389 - 0.710095i) q^{49} +(-4.57095 - 3.59924i) q^{50} +(0.125808 + 0.955605i) q^{51} +(0.613978 - 0.759962i) q^{52} +(0.617371 + 0.0812784i) q^{53} +(-0.699055 + 1.17652i) q^{54} +(-0.497328 - 0.497328i) q^{55} +(7.13945 - 2.24236i) q^{56} +(-0.400375 + 0.400375i) q^{57} +(-2.74723 - 10.7916i) q^{58} +(1.44362 - 10.9654i) q^{59} +(0.938119 + 0.276725i) q^{60} +(-1.36236 + 0.179358i) q^{61} +(-0.552525 - 4.64566i) q^{62} +(-7.48651 - 2.41968i) q^{63} +(-6.06551 + 5.21628i) q^{64} +(0.737364 + 1.27715i) q^{65} +(0.0490498 + 0.0210405i) q^{66} +(-1.13554 - 1.47986i) q^{67} +(8.62264 - 8.20120i) q^{68} +(0.458267 - 0.189821i) q^{69} +(-0.714890 + 11.2731i) q^{70} +(-6.13645 + 6.13645i) q^{71} +(8.37445 - 0.783890i) q^{72} +(5.34815 - 1.43303i) q^{73} +(-6.21998 - 0.0778921i) q^{74} +(-0.405688 + 0.528703i) q^{75} +(6.90584 + 1.08574i) q^{76} +(-0.111388 + 0.606241i) q^{77} +(-0.0879241 - 0.0692329i) q^{78} +(-12.7597 + 7.36679i) q^{79} +(-4.05679 - 11.3739i) q^{80} +(-7.59029 - 4.38226i) q^{81} +(15.0906 + 2.17929i) q^{82} +(5.17520 + 2.14364i) q^{83} +(-0.267073 - 0.814512i) q^{84} +(6.87397 + 16.5952i) q^{85} +(11.1004 + 6.59552i) q^{86} +(-1.23209 + 0.330137i) q^{87} +(-0.146523 - 0.642451i) q^{88} +(11.0131 + 2.95095i) q^{89} +(-3.43931 + 12.2214i) q^{90} +(0.554598 - 1.16740i) q^{91} +(-5.22526 - 3.19389i) q^{92} +(-0.531306 + 0.0699477i) q^{93} +(2.00307 - 4.66958i) q^{94} +(-5.27607 + 9.13843i) q^{95} +(0.606154 + 0.687241i) q^{96} -12.8059 q^{97} +(8.48905 - 5.09274i) q^{98} +(-0.265125 + 0.640069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{8}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.13266 + 0.846802i −0.800914 + 0.598779i
\(3\) 0.0986144 + 0.128517i 0.0569351 + 0.0741992i 0.820953 0.570996i \(-0.193443\pi\)
−0.764018 + 0.645195i \(0.776776\pi\)
\(4\) 0.565853 1.91828i 0.282926 0.959142i
\(5\) 2.39507 + 1.83780i 1.07111 + 0.821890i 0.984681 0.174368i \(-0.0557882\pi\)
0.0864277 + 0.996258i \(0.472455\pi\)
\(6\) −0.220525 0.0620594i −0.0900291 0.0253356i
\(7\) 0.134369 2.64234i 0.0507866 0.998710i
\(8\) 0.983485 + 2.65193i 0.347714 + 0.937600i
\(9\) 0.769665 2.87243i 0.256555 0.957477i
\(10\) −4.26906 0.0534610i −1.35000 0.0169059i
\(11\) −0.230980 0.0304091i −0.0696431 0.00916869i 0.0956241 0.995418i \(-0.469515\pi\)
−0.165267 + 0.986249i \(0.552849\pi\)
\(12\) 0.302333 0.116449i 0.0872760 0.0336159i
\(13\) 0.451311 + 0.186939i 0.125171 + 0.0518476i 0.444390 0.895833i \(-0.353420\pi\)
−0.319219 + 0.947681i \(0.603420\pi\)
\(14\) 2.08534 + 3.10666i 0.557331 + 0.830290i
\(15\) 0.489041i 0.126270i
\(16\) −3.35962 2.17093i −0.839905 0.542733i
\(17\) 5.15284 + 2.97500i 1.24975 + 0.721542i 0.971059 0.238839i \(-0.0767668\pi\)
0.278689 + 0.960381i \(0.410100\pi\)
\(18\) 1.56061 + 3.90525i 0.367839 + 0.920476i
\(19\) 0.456233 + 3.46543i 0.104667 + 0.795025i 0.960599 + 0.277937i \(0.0896507\pi\)
−0.855932 + 0.517088i \(0.827016\pi\)
\(20\) 4.88068 3.55450i 1.09135 0.794810i
\(21\) 0.352835 0.243304i 0.0769950 0.0530933i
\(22\) 0.287373 0.161151i 0.0612682 0.0343575i
\(23\) 0.792513 2.95770i 0.165250 0.616723i −0.832758 0.553638i \(-0.813239\pi\)
0.998008 0.0630853i \(-0.0200940\pi\)
\(24\) −0.243832 + 0.387913i −0.0497721 + 0.0791825i
\(25\) 1.06475 + 3.97371i 0.212950 + 0.794741i
\(26\) −0.669484 + 0.170432i −0.131297 + 0.0334244i
\(27\) 0.894039 0.370323i 0.172058 0.0712687i
\(28\) −4.99272 1.75293i −0.943535 0.331273i
\(29\) −3.01331 + 7.27478i −0.559558 + 1.35089i 0.350558 + 0.936541i \(0.385992\pi\)
−0.910117 + 0.414352i \(0.864008\pi\)
\(30\) −0.414121 0.553919i −0.0756077 0.101131i
\(31\) −1.65406 + 2.86492i −0.297079 + 0.514556i −0.975466 0.220149i \(-0.929346\pi\)
0.678388 + 0.734704i \(0.262679\pi\)
\(32\) 5.64367 0.385998i 0.997669 0.0682355i
\(33\) −0.0188699 0.0326836i −0.00328483 0.00568949i
\(34\) −8.35567 + 0.993769i −1.43299 + 0.170430i
\(35\) 5.17792 6.08164i 0.875228 1.02799i
\(36\) −5.07462 3.10181i −0.845770 0.516968i
\(37\) 3.48959 + 2.67766i 0.573685 + 0.440204i 0.854421 0.519581i \(-0.173912\pi\)
−0.280736 + 0.959785i \(0.590579\pi\)
\(38\) −3.45129 3.53883i −0.559874 0.574074i
\(39\) 0.0204809 + 0.0764359i 0.00327958 + 0.0122395i
\(40\) −2.51822 + 8.15902i −0.398165 + 1.29005i
\(41\) −7.62359 7.62359i −1.19060 1.19060i −0.976898 0.213707i \(-0.931446\pi\)
−0.213707 0.976898i \(-0.568554\pi\)
\(42\) −0.193614 + 0.574363i −0.0298752 + 0.0886262i
\(43\) −3.49397 8.43518i −0.532825 1.28635i −0.929645 0.368456i \(-0.879886\pi\)
0.396820 0.917896i \(-0.370114\pi\)
\(44\) −0.189034 + 0.425878i −0.0284980 + 0.0642036i
\(45\) 7.12236 5.46518i 1.06174 0.814701i
\(46\) 1.60693 + 4.02118i 0.236930 + 0.592891i
\(47\) −3.11151 + 1.79643i −0.453860 + 0.262036i −0.709459 0.704747i \(-0.751061\pi\)
0.255599 + 0.966783i \(0.417727\pi\)
\(48\) −0.0523058 0.645853i −0.00754969 0.0932209i
\(49\) −6.96389 0.710095i −0.994841 0.101442i
\(50\) −4.57095 3.59924i −0.646430 0.509009i
\(51\) 0.125808 + 0.955605i 0.0176166 + 0.133811i
\(52\) 0.613978 0.759962i 0.0851434 0.105388i
\(53\) 0.617371 + 0.0812784i 0.0848024 + 0.0111644i 0.172808 0.984956i \(-0.444716\pi\)
−0.0880056 + 0.996120i \(0.528049\pi\)
\(54\) −0.699055 + 1.17652i −0.0951293 + 0.160105i
\(55\) −0.497328 0.497328i −0.0670597 0.0670597i
\(56\) 7.13945 2.24236i 0.954050 0.299648i
\(57\) −0.400375 + 0.400375i −0.0530310 + 0.0530310i
\(58\) −2.74723 10.7916i −0.360729 1.41700i
\(59\) 1.44362 10.9654i 0.187943 1.42757i −0.594123 0.804374i \(-0.702501\pi\)
0.782066 0.623195i \(-0.214166\pi\)
\(60\) 0.938119 + 0.276725i 0.121111 + 0.0357251i
\(61\) −1.36236 + 0.179358i −0.174433 + 0.0229645i −0.217236 0.976119i \(-0.569704\pi\)
0.0428039 + 0.999083i \(0.486371\pi\)
\(62\) −0.552525 4.64566i −0.0701707 0.589999i
\(63\) −7.48651 2.41968i −0.943212 0.304851i
\(64\) −6.06551 + 5.21628i −0.758189 + 0.652035i
\(65\) 0.737364 + 1.27715i 0.0914588 + 0.158411i
\(66\) 0.0490498 + 0.0210405i 0.00603761 + 0.00258990i
\(67\) −1.13554 1.47986i −0.138728 0.180794i 0.718822 0.695194i \(-0.244681\pi\)
−0.857551 + 0.514400i \(0.828015\pi\)
\(68\) 8.62264 8.20120i 1.04565 0.994542i
\(69\) 0.458267 0.189821i 0.0551689 0.0228517i
\(70\) −0.714890 + 11.2731i −0.0854457 + 1.34740i
\(71\) −6.13645 + 6.13645i −0.728263 + 0.728263i −0.970274 0.242011i \(-0.922193\pi\)
0.242011 + 0.970274i \(0.422193\pi\)
\(72\) 8.37445 0.783890i 0.986939 0.0923823i
\(73\) 5.34815 1.43303i 0.625953 0.167724i 0.0681205 0.997677i \(-0.478300\pi\)
0.557833 + 0.829953i \(0.311633\pi\)
\(74\) −6.21998 0.0778921i −0.723058 0.00905477i
\(75\) −0.405688 + 0.528703i −0.0468448 + 0.0610494i
\(76\) 6.90584 + 1.08574i 0.792155 + 0.124543i
\(77\) −0.111388 + 0.606241i −0.0126938 + 0.0690876i
\(78\) −0.0879241 0.0692329i −0.00995544 0.00783908i
\(79\) −12.7597 + 7.36679i −1.43557 + 0.828829i −0.997538 0.0701291i \(-0.977659\pi\)
−0.438035 + 0.898958i \(0.644326\pi\)
\(80\) −4.05679 11.3739i −0.453562 1.27164i
\(81\) −7.59029 4.38226i −0.843366 0.486918i
\(82\) 15.0906 + 2.17929i 1.66648 + 0.240662i
\(83\) 5.17520 + 2.14364i 0.568052 + 0.235295i 0.648177 0.761490i \(-0.275532\pi\)
−0.0801248 + 0.996785i \(0.525532\pi\)
\(84\) −0.267073 0.814512i −0.0291400 0.0888706i
\(85\) 6.87397 + 16.5952i 0.745587 + 1.80001i
\(86\) 11.1004 + 6.59552i 1.19699 + 0.711213i
\(87\) −1.23209 + 0.330137i −0.132094 + 0.0353944i
\(88\) −0.146523 0.642451i −0.0156194 0.0684855i
\(89\) 11.0131 + 2.95095i 1.16738 + 0.312800i 0.789911 0.613221i \(-0.210127\pi\)
0.377473 + 0.926021i \(0.376793\pi\)
\(90\) −3.43931 + 12.2214i −0.362536 + 1.28825i
\(91\) 0.554598 1.16740i 0.0581377 0.122376i
\(92\) −5.22526 3.19389i −0.544771 0.332986i
\(93\) −0.531306 + 0.0699477i −0.0550938 + 0.00725324i
\(94\) 2.00307 4.66958i 0.206601 0.481631i
\(95\) −5.27607 + 9.13843i −0.541314 + 0.937583i
\(96\) 0.606154 + 0.687241i 0.0618654 + 0.0701413i
\(97\) −12.8059 −1.30025 −0.650123 0.759829i \(-0.725283\pi\)
−0.650123 + 0.759829i \(0.725283\pi\)
\(98\) 8.48905 5.09274i 0.857524 0.514444i
\(99\) −0.265125 + 0.640069i −0.0266461 + 0.0643294i
\(100\) 8.22519 + 0.206038i 0.822519 + 0.0206038i
\(101\) −0.643692 + 4.88933i −0.0640498 + 0.486506i 0.929115 + 0.369790i \(0.120570\pi\)
−0.993165 + 0.116717i \(0.962763\pi\)
\(102\) −0.951706 0.975844i −0.0942329 0.0966230i
\(103\) −4.43413 1.18812i −0.436908 0.117069i 0.0336591 0.999433i \(-0.489284\pi\)
−0.470567 + 0.882364i \(0.655951\pi\)
\(104\) −0.0518927 + 1.38070i −0.00508850 + 0.135389i
\(105\) 1.29221 + 0.0657117i 0.126107 + 0.00641281i
\(106\) −0.768100 + 0.430730i −0.0746045 + 0.0418362i
\(107\) −12.3164 + 16.0511i −1.19067 + 1.55172i −0.429644 + 0.902999i \(0.641361\pi\)
−0.761030 + 0.648717i \(0.775306\pi\)
\(108\) −0.204490 1.92457i −0.0196771 0.185192i
\(109\) −0.0997102 + 0.0765104i −0.00955051 + 0.00732836i −0.613526 0.789675i \(-0.710249\pi\)
0.603975 + 0.797003i \(0.293583\pi\)
\(110\) 0.984443 + 0.142167i 0.0938630 + 0.0135551i
\(111\) 0.712527i 0.0676300i
\(112\) −6.18776 + 8.58555i −0.584689 + 0.811258i
\(113\) 9.27096i 0.872139i −0.899913 0.436069i \(-0.856370\pi\)
0.899913 0.436069i \(-0.143630\pi\)
\(114\) 0.114452 0.792529i 0.0107194 0.0742272i
\(115\) 7.33379 5.62742i 0.683880 0.524759i
\(116\) 12.2500 + 9.89685i 1.13738 + 0.918899i
\(117\) 0.884328 1.15248i 0.0817561 0.106547i
\(118\) 7.65036 + 13.6425i 0.704273 + 1.25590i
\(119\) 8.55332 13.2158i 0.784082 1.21149i
\(120\) −1.29690 + 0.480964i −0.118391 + 0.0439058i
\(121\) −10.5728 2.83296i −0.961160 0.257542i
\(122\) 1.39122 1.35680i 0.125955 0.122839i
\(123\) 0.227964 1.73156i 0.0205548 0.156129i
\(124\) 4.55978 + 4.79409i 0.409480 + 0.430522i
\(125\) 1.02372 2.47148i 0.0915645 0.221056i
\(126\) 10.5287 3.59891i 0.937970 0.320616i
\(127\) 18.0822 1.60453 0.802266 0.596966i \(-0.203627\pi\)
0.802266 + 0.596966i \(0.203627\pi\)
\(128\) 2.45303 11.0446i 0.216820 0.976212i
\(129\) 0.739507 1.28086i 0.0651100 0.112774i
\(130\) −1.91668 0.822182i −0.168104 0.0721102i
\(131\) 19.9200 2.62252i 1.74042 0.229131i 0.807666 0.589640i \(-0.200730\pi\)
0.932756 + 0.360509i \(0.117397\pi\)
\(132\) −0.0733740 + 0.0177037i −0.00638639 + 0.00154091i
\(133\) 9.21815 0.739876i 0.799315 0.0641554i
\(134\) 2.53934 + 0.714611i 0.219365 + 0.0617330i
\(135\) 2.82187 + 0.756117i 0.242868 + 0.0650762i
\(136\) −2.82175 + 16.5909i −0.241963 + 1.42266i
\(137\) 10.8008 2.89407i 0.922777 0.247257i 0.234005 0.972235i \(-0.424817\pi\)
0.688772 + 0.724978i \(0.258150\pi\)
\(138\) −0.358322 + 0.603064i −0.0305024 + 0.0513362i
\(139\) −0.121776 0.293993i −0.0103289 0.0249361i 0.918631 0.395117i \(-0.129296\pi\)
−0.928960 + 0.370181i \(0.879296\pi\)
\(140\) −8.73637 13.3740i −0.738358 1.13031i
\(141\) −0.537711 0.222727i −0.0452835 0.0187570i
\(142\) 1.75418 12.1469i 0.147207 1.01934i
\(143\) −0.0985592 0.0569032i −0.00824193 0.00475848i
\(144\) −8.82164 + 7.97939i −0.735136 + 0.664949i
\(145\) −20.5867 + 11.8857i −1.70963 + 0.987058i
\(146\) −4.84416 + 6.15196i −0.400905 + 0.509140i
\(147\) −0.595481 0.965003i −0.0491144 0.0795921i
\(148\) 7.11110 5.17886i 0.584529 0.425700i
\(149\) −13.1273 + 17.1078i −1.07543 + 1.40153i −0.165775 + 0.986164i \(0.553013\pi\)
−0.909655 + 0.415365i \(0.863654\pi\)
\(150\) 0.0118013 0.942380i 0.000963574 0.0769450i
\(151\) 1.63413 0.437863i 0.132983 0.0356328i −0.191713 0.981451i \(-0.561404\pi\)
0.324697 + 0.945818i \(0.394738\pi\)
\(152\) −8.74141 + 4.61810i −0.709022 + 0.374578i
\(153\) 12.5114 12.5114i 1.01149 1.01149i
\(154\) −0.387202 0.780991i −0.0312016 0.0629340i
\(155\) −9.22677 + 3.82185i −0.741112 + 0.306979i
\(156\) 0.158215 + 0.00396324i 0.0126673 + 0.000317313i
\(157\) −11.1037 14.4707i −0.886174 1.15488i −0.987118 0.159992i \(-0.948853\pi\)
0.100945 0.994892i \(-0.467814\pi\)
\(158\) 8.21418 19.1490i 0.653485 1.52341i
\(159\) 0.0504360 + 0.0873577i 0.00399984 + 0.00692792i
\(160\) 14.2264 + 9.44746i 1.12469 + 0.746887i
\(161\) −7.70875 2.49151i −0.607535 0.196358i
\(162\) 12.3082 1.46385i 0.967020 0.115011i
\(163\) 8.41470 1.10782i 0.659090 0.0867708i 0.206440 0.978459i \(-0.433812\pi\)
0.452650 + 0.891688i \(0.350479\pi\)
\(164\) −18.9380 + 10.3104i −1.47881 + 0.805105i
\(165\) 0.0148713 0.112959i 0.00115773 0.00879382i
\(166\) −7.67699 + 1.95435i −0.595850 + 0.151687i
\(167\) −11.3134 + 11.3134i −0.875461 + 0.875461i −0.993061 0.117600i \(-0.962480\pi\)
0.117600 + 0.993061i \(0.462480\pi\)
\(168\) 0.992234 + 0.696411i 0.0765525 + 0.0537293i
\(169\) −9.02365 9.02365i −0.694127 0.694127i
\(170\) −21.8388 12.9759i −1.67496 0.995208i
\(171\) 10.3054 + 1.35673i 0.788071 + 0.103751i
\(172\) −18.1581 + 1.92935i −1.38454 + 0.147111i
\(173\) 0.681987 + 5.18021i 0.0518505 + 0.393844i 0.997617 + 0.0689963i \(0.0219797\pi\)
−0.945766 + 0.324848i \(0.894687\pi\)
\(174\) 1.11598 1.41727i 0.0846023 0.107443i
\(175\) 10.6429 2.27949i 0.804531 0.172313i
\(176\) 0.709990 + 0.603605i 0.0535175 + 0.0454985i
\(177\) 1.55160 0.895814i 0.116625 0.0673335i
\(178\) −14.9730 + 5.98347i −1.12227 + 0.448480i
\(179\) −17.3865 + 13.3411i −1.29953 + 0.997161i −0.300467 + 0.953792i \(0.597142\pi\)
−0.999059 + 0.0433689i \(0.986191\pi\)
\(180\) −6.45356 16.7552i −0.481020 1.24886i
\(181\) −7.84455 18.9384i −0.583081 1.40768i −0.890006 0.455948i \(-0.849300\pi\)
0.306925 0.951734i \(-0.400700\pi\)
\(182\) 0.360381 + 1.79190i 0.0267132 + 0.132825i
\(183\) −0.157399 0.157399i −0.0116353 0.0116353i
\(184\) 8.62305 0.807160i 0.635700 0.0595046i
\(185\) 3.43681 + 12.8264i 0.252679 + 0.943013i
\(186\) 0.542559 0.529138i 0.0397823 0.0387983i
\(187\) −1.09974 0.843858i −0.0804208 0.0617090i
\(188\) 1.68541 + 6.98527i 0.122921 + 0.509453i
\(189\) −0.858387 2.41211i −0.0624385 0.175455i
\(190\) −1.76242 14.8185i −0.127860 1.07505i
\(191\) 3.48458 + 6.03547i 0.252135 + 0.436711i 0.964113 0.265491i \(-0.0855339\pi\)
−0.711978 + 0.702201i \(0.752201\pi\)
\(192\) −1.26853 0.265120i −0.0915480 0.0191334i
\(193\) 1.89126 3.27576i 0.136136 0.235794i −0.789895 0.613242i \(-0.789865\pi\)
0.926031 + 0.377448i \(0.123198\pi\)
\(194\) 14.5048 10.8441i 1.04139 0.778561i
\(195\) −0.0914208 + 0.220709i −0.00654678 + 0.0158053i
\(196\) −5.30270 + 12.9569i −0.378764 + 0.925493i
\(197\) −2.15459 + 0.892459i −0.153508 + 0.0635851i −0.458114 0.888893i \(-0.651475\pi\)
0.304607 + 0.952478i \(0.401475\pi\)
\(198\) −0.241714 0.949492i −0.0171779 0.0674775i
\(199\) 3.55082 + 13.2519i 0.251711 + 0.939399i 0.969891 + 0.243541i \(0.0783091\pi\)
−0.718179 + 0.695858i \(0.755024\pi\)
\(200\) −9.49084 + 6.73173i −0.671104 + 0.476005i
\(201\) 0.0782068 0.291872i 0.00551629 0.0205871i
\(202\) −3.41121 6.08304i −0.240012 0.428001i
\(203\) 18.8175 + 8.93969i 1.32073 + 0.627444i
\(204\) 1.90431 + 0.299397i 0.133328 + 0.0209620i
\(205\) −4.24839 32.2697i −0.296720 2.25381i
\(206\) 6.02848 2.40909i 0.420024 0.167849i
\(207\) −7.88581 4.55288i −0.548102 0.316447i
\(208\) −1.11040 1.60781i −0.0769925 0.111482i
\(209\) 0.814320i 0.0563277i
\(210\) −1.51928 + 1.01982i −0.104841 + 0.0703741i
\(211\) −10.8428 4.49125i −0.746451 0.309190i −0.0231586 0.999732i \(-0.507372\pi\)
−0.723293 + 0.690541i \(0.757372\pi\)
\(212\) 0.505256 1.13830i 0.0347011 0.0781788i
\(213\) −1.39378 0.183495i −0.0955002 0.0125728i
\(214\) 0.358280 28.6100i 0.0244915 1.95574i
\(215\) 7.13390 26.6241i 0.486528 1.81575i
\(216\) 1.86135 + 2.00673i 0.126649 + 0.136540i
\(217\) 7.34784 + 4.75555i 0.498804 + 0.322828i
\(218\) 0.0481490 0.171095i 0.00326106 0.0115880i
\(219\) 0.711573 + 0.546009i 0.0480836 + 0.0368959i
\(220\) −1.23543 + 0.672601i −0.0832927 + 0.0453468i
\(221\) 1.76939 + 2.30592i 0.119022 + 0.155113i
\(222\) −0.603369 0.807053i −0.0404955 0.0541659i
\(223\) 18.5303 1.24088 0.620442 0.784252i \(-0.286953\pi\)
0.620442 + 0.784252i \(0.286953\pi\)
\(224\) −0.261605 14.9643i −0.0174792 0.999847i
\(225\) 12.2337 0.815580
\(226\) 7.85067 + 10.5009i 0.522219 + 0.698508i
\(227\) 12.8275 + 16.7171i 0.851391 + 1.10955i 0.992821 + 0.119606i \(0.0381632\pi\)
−0.141430 + 0.989948i \(0.545170\pi\)
\(228\) 0.541480 + 0.994587i 0.0358604 + 0.0658681i
\(229\) 2.65261 + 2.03542i 0.175289 + 0.134504i 0.692680 0.721245i \(-0.256430\pi\)
−0.517391 + 0.855749i \(0.673097\pi\)
\(230\) −3.54141 + 12.5842i −0.233514 + 0.829780i
\(231\) −0.0888966 + 0.0454690i −0.00584897 + 0.00299164i
\(232\) −22.2558 0.836470i −1.46116 0.0549170i
\(233\) 0.0317046 0.118323i 0.00207703 0.00775160i −0.964880 0.262693i \(-0.915389\pi\)
0.966957 + 0.254941i \(0.0820561\pi\)
\(234\) −0.0257248 + 2.05422i −0.00168168 + 0.134289i
\(235\) −10.7538 1.41576i −0.701499 0.0923541i
\(236\) −20.2178 8.97405i −1.31607 0.584161i
\(237\) −2.20504 0.913358i −0.143233 0.0593290i
\(238\) 1.50313 + 22.2120i 0.0974337 + 1.43979i
\(239\) 15.1118i 0.977500i 0.872424 + 0.488750i \(0.162547\pi\)
−0.872424 + 0.488750i \(0.837453\pi\)
\(240\) 1.06167 1.64299i 0.0685308 0.106055i
\(241\) 7.72412 + 4.45952i 0.497554 + 0.287263i 0.727703 0.685892i \(-0.240588\pi\)
−0.230149 + 0.973155i \(0.573921\pi\)
\(242\) 14.3743 5.74424i 0.924017 0.369254i
\(243\) −0.564249 4.28590i −0.0361966 0.274941i
\(244\) −0.426836 + 2.71489i −0.0273254 + 0.173803i
\(245\) −15.3740 14.4990i −0.982209 0.926306i
\(246\) 1.20808 + 2.15431i 0.0770243 + 0.137354i
\(247\) −0.441922 + 1.64928i −0.0281188 + 0.104941i
\(248\) −9.22434 1.56886i −0.585746 0.0996228i
\(249\) 0.234856 + 0.876493i 0.0148834 + 0.0555455i
\(250\) 0.933325 + 3.66625i 0.0590287 + 0.231874i
\(251\) −12.1756 + 5.04331i −0.768518 + 0.318331i −0.732272 0.681012i \(-0.761540\pi\)
−0.0362461 + 0.999343i \(0.511540\pi\)
\(252\) −8.87789 + 12.9921i −0.559255 + 0.818423i
\(253\) −0.272996 + 0.659070i −0.0171631 + 0.0414354i
\(254\) −20.4810 + 15.3120i −1.28509 + 0.960761i
\(255\) −1.45489 + 2.51995i −0.0911090 + 0.157805i
\(256\) 6.57411 + 14.5870i 0.410882 + 0.911689i
\(257\) 3.46931 + 6.00902i 0.216410 + 0.374833i 0.953708 0.300735i \(-0.0972320\pi\)
−0.737298 + 0.675568i \(0.763899\pi\)
\(258\) 0.247025 + 2.07700i 0.0153791 + 0.129309i
\(259\) 7.54416 8.86088i 0.468772 0.550588i
\(260\) 2.86718 0.691793i 0.177815 0.0429032i
\(261\) 18.5771 + 14.2547i 1.14989 + 0.882343i
\(262\) −20.3419 + 19.8388i −1.25673 + 1.22564i
\(263\) −5.26790 19.6601i −0.324833 1.21229i −0.914480 0.404631i \(-0.867400\pi\)
0.589647 0.807661i \(-0.299267\pi\)
\(264\) 0.0681165 0.0821855i 0.00419228 0.00505817i
\(265\) 1.32927 + 1.32927i 0.0816566 + 0.0816566i
\(266\) −9.81453 + 8.64398i −0.601767 + 0.529996i
\(267\) 0.706802 + 1.70637i 0.0432556 + 0.104428i
\(268\) −3.48135 + 1.34090i −0.212657 + 0.0819086i
\(269\) 3.23287 2.48067i 0.197112 0.151249i −0.505490 0.862832i \(-0.668688\pi\)
0.702602 + 0.711583i \(0.252022\pi\)
\(270\) −3.83651 + 1.53314i −0.233482 + 0.0933037i
\(271\) 7.74824 4.47345i 0.470672 0.271743i −0.245849 0.969308i \(-0.579067\pi\)
0.716521 + 0.697565i \(0.245733\pi\)
\(272\) −10.8531 21.1813i −0.658065 1.28431i
\(273\) 0.204721 0.0438470i 0.0123903 0.00265374i
\(274\) −9.78300 + 12.4242i −0.591012 + 0.750572i
\(275\) −0.125100 0.950225i −0.00754379 0.0573007i
\(276\) −0.104818 0.986497i −0.00630928 0.0593801i
\(277\) 23.1657 + 3.04982i 1.39189 + 0.183246i 0.788909 0.614510i \(-0.210646\pi\)
0.602980 + 0.797756i \(0.293980\pi\)
\(278\) 0.386885 + 0.229875i 0.0232038 + 0.0137870i
\(279\) 6.95622 + 6.95622i 0.416458 + 0.416458i
\(280\) 21.2205 + 7.75029i 1.26817 + 0.463169i
\(281\) 13.8956 13.8956i 0.828939 0.828939i −0.158431 0.987370i \(-0.550643\pi\)
0.987370 + 0.158431i \(0.0506434\pi\)
\(282\) 0.797652 0.203060i 0.0474995 0.0120920i
\(283\) 1.33074 10.1080i 0.0791041 0.600855i −0.905279 0.424817i \(-0.860338\pi\)
0.984383 0.176038i \(-0.0563283\pi\)
\(284\) 8.29913 + 15.2438i 0.492463 + 0.904552i
\(285\) −1.69474 + 0.223117i −0.100388 + 0.0132163i
\(286\) 0.159820 0.0190080i 0.00945036 0.00112396i
\(287\) −21.1685 + 19.1197i −1.24954 + 1.12860i
\(288\) 3.23498 16.5081i 0.190623 0.972751i
\(289\) 9.20120 + 15.9369i 0.541247 + 0.937467i
\(290\) 13.2529 30.8954i 0.778240 1.81424i
\(291\) −1.26285 1.64578i −0.0740296 0.0964773i
\(292\) 0.277304 11.0701i 0.0162280 0.647831i
\(293\) −10.6054 + 4.39288i −0.619571 + 0.256635i −0.670315 0.742077i \(-0.733841\pi\)
0.0507434 + 0.998712i \(0.483841\pi\)
\(294\) 1.49165 + 0.588769i 0.0869945 + 0.0343377i
\(295\) 23.6097 23.6097i 1.37461 1.37461i
\(296\) −3.66901 + 11.8876i −0.213257 + 0.690953i
\(297\) −0.217766 + 0.0583503i −0.0126361 + 0.00338583i
\(298\) 0.381868 30.4936i 0.0221210 1.76645i
\(299\) 0.910579 1.18669i 0.0526602 0.0686281i
\(300\) 0.784643 + 1.07739i 0.0453014 + 0.0622033i
\(301\) −22.7581 + 8.09881i −1.31175 + 0.466808i
\(302\) −1.48013 + 1.87973i −0.0851721 + 0.108167i
\(303\) −0.691838 + 0.399433i −0.0397451 + 0.0229468i
\(304\) 5.99045 12.6330i 0.343576 0.724552i
\(305\) −3.59258 2.07418i −0.205711 0.118767i
\(306\) −3.57654 + 24.7659i −0.204457 + 1.41578i
\(307\) 25.2285 + 10.4500i 1.43987 + 0.596413i 0.959767 0.280799i \(-0.0905994\pi\)
0.480103 + 0.877212i \(0.340599\pi\)
\(308\) 1.09991 + 0.556716i 0.0626734 + 0.0317219i
\(309\) −0.284576 0.687026i −0.0161889 0.0390836i
\(310\) 7.21447 12.1421i 0.409754 0.689626i
\(311\) −10.6381 + 2.85046i −0.603229 + 0.161635i −0.547492 0.836811i \(-0.684417\pi\)
−0.0557369 + 0.998445i \(0.517751\pi\)
\(312\) −0.182560 + 0.129488i −0.0103354 + 0.00733080i
\(313\) −29.2455 7.83631i −1.65305 0.442935i −0.692589 0.721333i \(-0.743530\pi\)
−0.960466 + 0.278398i \(0.910196\pi\)
\(314\) 24.8306 + 6.98773i 1.40127 + 0.394340i
\(315\) −13.4838 19.5540i −0.759728 1.10174i
\(316\) 6.91150 + 28.6452i 0.388802 + 1.61142i
\(317\) 7.58993 0.999233i 0.426293 0.0561225i 0.0856723 0.996323i \(-0.472696\pi\)
0.340621 + 0.940201i \(0.389363\pi\)
\(318\) −0.131102 0.0562376i −0.00735182 0.00315365i
\(319\) 0.917235 1.58870i 0.0513553 0.0889500i
\(320\) −24.1138 + 1.34613i −1.34800 + 0.0752512i
\(321\) −3.27741 −0.182927
\(322\) 10.8412 3.70574i 0.604158 0.206513i
\(323\) −7.95875 + 19.2141i −0.442837 + 1.06910i
\(324\) −12.7014 + 12.0806i −0.705633 + 0.671146i
\(325\) −0.262307 + 1.99242i −0.0145502 + 0.110520i
\(326\) −8.59292 + 8.38036i −0.475918 + 0.464145i
\(327\) −0.0196657 0.00526942i −0.00108752 0.000291399i
\(328\) 12.7196 27.7150i 0.702321 1.53030i
\(329\) 4.32869 + 8.46304i 0.238648 + 0.466583i
\(330\) 0.0788095 + 0.140537i 0.00433832 + 0.00773632i
\(331\) 8.93651 11.6463i 0.491195 0.640138i −0.480326 0.877090i \(-0.659482\pi\)
0.971521 + 0.236952i \(0.0761484\pi\)
\(332\) 7.04050 8.71451i 0.386398 0.478271i
\(333\) 10.3772 7.96271i 0.568667 0.436354i
\(334\) 3.23408 22.3946i 0.176961 1.22538i
\(335\) 5.63128i 0.307670i
\(336\) −1.71359 + 0.0514271i −0.0934840 + 0.00280558i
\(337\) 14.5309i 0.791549i 0.918348 + 0.395775i \(0.129524\pi\)
−0.918348 + 0.395775i \(0.870476\pi\)
\(338\) 17.8620 + 2.57951i 0.971565 + 0.140307i
\(339\) 1.19147 0.914251i 0.0647120 0.0496553i
\(340\) 35.7240 3.79576i 1.93741 0.205854i
\(341\) 0.469176 0.611442i 0.0254073 0.0331114i
\(342\) −12.8214 + 7.18989i −0.693301 + 0.388785i
\(343\) −2.81204 + 18.3055i −0.151836 + 0.988406i
\(344\) 18.9333 17.5616i 1.02081 0.946860i
\(345\) 1.44644 + 0.387571i 0.0778735 + 0.0208661i
\(346\) −5.15907 5.28992i −0.277353 0.284388i
\(347\) −1.77627 + 13.4921i −0.0953550 + 0.724293i 0.875260 + 0.483653i \(0.160690\pi\)
−0.970615 + 0.240640i \(0.922643\pi\)
\(348\) −0.0638843 + 2.55030i −0.00342456 + 0.136711i
\(349\) −3.47085 + 8.37938i −0.185791 + 0.448538i −0.989141 0.146968i \(-0.953048\pi\)
0.803351 + 0.595506i \(0.203048\pi\)
\(350\) −10.1246 + 11.5944i −0.541182 + 0.619745i
\(351\) 0.472717 0.0252318
\(352\) −1.31531 0.0824611i −0.0701064 0.00439519i
\(353\) 9.37055 16.2303i 0.498744 0.863850i −0.501255 0.865300i \(-0.667128\pi\)
0.999999 + 0.00144971i \(0.000461456\pi\)
\(354\) −0.998859 + 2.32855i −0.0530887 + 0.123761i
\(355\) −25.9748 + 3.41965i −1.37860 + 0.181496i
\(356\) 11.8925 19.4564i 0.630303 1.03119i
\(357\) 2.54193 0.204023i 0.134533 0.0107980i
\(358\) 8.39574 29.8339i 0.443729 1.57677i
\(359\) 15.7063 + 4.20850i 0.828949 + 0.222116i 0.648255 0.761423i \(-0.275499\pi\)
0.180694 + 0.983539i \(0.442166\pi\)
\(360\) 21.4980 + 13.5131i 1.13305 + 0.712204i
\(361\) 6.55151 1.75547i 0.344816 0.0923932i
\(362\) 24.9223 + 14.8081i 1.30989 + 0.778295i
\(363\) −0.678543 1.63815i −0.0356143 0.0859805i
\(364\) −1.92558 1.72445i −0.100928 0.0903858i
\(365\) 15.4428 + 6.39662i 0.808314 + 0.334815i
\(366\) 0.311566 + 0.0449944i 0.0162858 + 0.00235189i
\(367\) 6.66599 + 3.84861i 0.347962 + 0.200896i 0.663787 0.747921i \(-0.268948\pi\)
−0.315825 + 0.948817i \(0.602281\pi\)
\(368\) −9.08351 + 8.21626i −0.473511 + 0.428302i
\(369\) −27.7658 + 16.0306i −1.44543 + 0.834521i
\(370\) −14.7541 11.6176i −0.767031 0.603973i
\(371\) 0.297720 1.62038i 0.0154569 0.0841259i
\(372\) −0.166461 + 1.05877i −0.00863062 + 0.0548949i
\(373\) −1.06282 + 1.38509i −0.0550306 + 0.0717173i −0.820058 0.572281i \(-0.806059\pi\)
0.765027 + 0.643998i \(0.222725\pi\)
\(374\) 1.96021 + 0.0245475i 0.101360 + 0.00126932i
\(375\) 0.418581 0.112158i 0.0216154 0.00579184i
\(376\) −7.82414 6.48476i −0.403499 0.334426i
\(377\) −2.71988 + 2.71988i −0.140081 + 0.140081i
\(378\) 3.01484 + 2.00523i 0.155067 + 0.103138i
\(379\) 3.51689 1.45674i 0.180651 0.0748279i −0.290525 0.956867i \(-0.593830\pi\)
0.471175 + 0.882040i \(0.343830\pi\)
\(380\) 14.5446 + 15.2920i 0.746123 + 0.784463i
\(381\) 1.78316 + 2.32386i 0.0913542 + 0.119055i
\(382\) −9.05770 3.88540i −0.463432 0.198795i
\(383\) −9.64891 16.7124i −0.493036 0.853964i 0.506932 0.861986i \(-0.330780\pi\)
−0.999968 + 0.00802254i \(0.997446\pi\)
\(384\) 1.66132 0.773898i 0.0847788 0.0394928i
\(385\) −1.38093 + 1.24728i −0.0703789 + 0.0635674i
\(386\) 0.631757 + 5.31185i 0.0321556 + 0.270366i
\(387\) −26.9186 + 3.54391i −1.36835 + 0.180147i
\(388\) −7.24628 + 24.5654i −0.367874 + 1.24712i
\(389\) 1.95362 14.8392i 0.0990526 0.752379i −0.867777 0.496955i \(-0.834452\pi\)
0.966829 0.255424i \(-0.0822151\pi\)
\(390\) −0.0833481 0.327405i −0.00422050 0.0165788i
\(391\) 12.8828 12.8828i 0.651513 0.651513i
\(392\) −4.96576 19.1661i −0.250809 0.968037i
\(393\) 2.30144 + 2.30144i 0.116092 + 0.116092i
\(394\) 1.68468 2.83536i 0.0848732 0.142844i
\(395\) −44.0990 5.80574i −2.21886 0.292119i
\(396\) 1.07781 + 0.870771i 0.0541621 + 0.0437579i
\(397\) −1.21571 9.23421i −0.0610146 0.463452i −0.994492 0.104815i \(-0.966575\pi\)
0.933477 0.358637i \(-0.116758\pi\)
\(398\) −15.2436 12.0030i −0.764092 0.601659i
\(399\) 1.00413 + 1.11172i 0.0502693 + 0.0556558i
\(400\) 5.04949 15.6617i 0.252474 0.783083i
\(401\) 17.6143 10.1696i 0.879614 0.507845i 0.00908270 0.999959i \(-0.497109\pi\)
0.870531 + 0.492114i \(0.163776\pi\)
\(402\) 0.158576 + 0.396818i 0.00790904 + 0.0197915i
\(403\) −1.28206 + 0.983762i −0.0638641 + 0.0490047i
\(404\) 9.01488 + 4.00142i 0.448507 + 0.199078i
\(405\) −10.1256 24.4453i −0.503143 1.21470i
\(406\) −28.8841 + 5.80906i −1.43349 + 0.288299i
\(407\) −0.724601 0.724601i −0.0359171 0.0359171i
\(408\) −2.41047 + 1.27346i −0.119336 + 0.0630455i
\(409\) 3.61472 + 13.4903i 0.178736 + 0.667053i 0.995885 + 0.0906262i \(0.0288868\pi\)
−0.817149 + 0.576427i \(0.804446\pi\)
\(410\) 32.1380 + 32.9532i 1.58718 + 1.62744i
\(411\) 1.43705 + 1.10269i 0.0708847 + 0.0543917i
\(412\) −4.78822 + 7.83362i −0.235899 + 0.385935i
\(413\) −28.7802 5.28793i −1.41618 0.260202i
\(414\) 12.7874 1.52085i 0.628464 0.0747455i
\(415\) 8.45538 + 14.6452i 0.415058 + 0.718902i
\(416\) 2.61921 + 0.880817i 0.128417 + 0.0431856i
\(417\) 0.0257742 0.0446422i 0.00126217 0.00218614i
\(418\) 0.689568 + 0.922350i 0.0337279 + 0.0451136i
\(419\) −2.03515 + 4.91330i −0.0994238 + 0.240030i −0.965763 0.259426i \(-0.916467\pi\)
0.866339 + 0.499456i \(0.166467\pi\)
\(420\) 0.857255 2.44164i 0.0418297 0.119140i
\(421\) −10.8099 + 4.47759i −0.526840 + 0.218224i −0.630219 0.776418i \(-0.717035\pi\)
0.103378 + 0.994642i \(0.467035\pi\)
\(422\) 16.0845 4.09466i 0.782980 0.199325i
\(423\) 2.76530 + 10.3202i 0.134454 + 0.501788i
\(424\) 0.391630 + 1.71716i 0.0190192 + 0.0833928i
\(425\) −6.33526 + 23.6435i −0.307305 + 1.14688i
\(426\) 1.73407 0.972418i 0.0840158 0.0471138i
\(427\) 0.290867 + 3.62392i 0.0140760 + 0.175374i
\(428\) 23.8212 + 32.7089i 1.15144 + 1.58105i
\(429\) −0.00240634 0.0182780i −0.000116179 0.000882469i
\(430\) 14.4650 + 36.1971i 0.697565 + 1.74558i
\(431\) −27.1575 15.6794i −1.30813 0.755249i −0.326345 0.945251i \(-0.605817\pi\)
−0.981784 + 0.190002i \(0.939151\pi\)
\(432\) −3.80758 0.696753i −0.183192 0.0335225i
\(433\) 4.63344i 0.222669i 0.993783 + 0.111334i \(0.0355125\pi\)
−0.993783 + 0.111334i \(0.964488\pi\)
\(434\) −12.3496 + 0.835726i −0.592802 + 0.0401161i
\(435\) −3.55767 1.47363i −0.170577 0.0706553i
\(436\) 0.0903472 + 0.234566i 0.00432685 + 0.0112337i
\(437\) 10.6113 + 1.39700i 0.507606 + 0.0668276i
\(438\) −1.26833 0.0158832i −0.0606034 0.000758929i
\(439\) 3.72032 13.8844i 0.177561 0.662667i −0.818540 0.574449i \(-0.805216\pi\)
0.996101 0.0882174i \(-0.0281170\pi\)
\(440\) 0.829766 1.80800i 0.0395576 0.0861928i
\(441\) −7.39956 + 19.4568i −0.352360 + 0.926512i
\(442\) −3.95678 1.11350i −0.188205 0.0529639i
\(443\) 0.221361 + 0.169856i 0.0105172 + 0.00807011i 0.614007 0.789301i \(-0.289557\pi\)
−0.603489 + 0.797371i \(0.706223\pi\)
\(444\) 1.36683 + 0.403185i 0.0648668 + 0.0191343i
\(445\) 20.9538 + 27.3076i 0.993308 + 1.29450i
\(446\) −20.9886 + 15.6915i −0.993841 + 0.743016i
\(447\) −3.49319 −0.165222
\(448\) 12.9681 + 16.7280i 0.612687 + 0.790325i
\(449\) 11.2365 0.530282 0.265141 0.964210i \(-0.414581\pi\)
0.265141 + 0.964210i \(0.414581\pi\)
\(450\) −13.8567 + 10.3595i −0.653209 + 0.488352i
\(451\) 1.52907 + 1.99272i 0.0720012 + 0.0938337i
\(452\) −17.7843 5.24600i −0.836505 0.246751i
\(453\) 0.217421 + 0.166833i 0.0102153 + 0.00783851i
\(454\) −28.6853 8.07252i −1.34627 0.378862i
\(455\) 3.47375 1.77676i 0.162852 0.0832956i
\(456\) −1.45553 0.668006i −0.0681615 0.0312822i
\(457\) 5.41106 20.1943i 0.253118 0.944651i −0.716009 0.698091i \(-0.754033\pi\)
0.969128 0.246560i \(-0.0793003\pi\)
\(458\) −4.72811 0.0592096i −0.220930 0.00276668i
\(459\) 5.70855 + 0.751545i 0.266452 + 0.0350791i
\(460\) −6.64513 17.2526i −0.309831 0.804406i
\(461\) −5.18938 2.14951i −0.241693 0.100113i 0.258549 0.965998i \(-0.416756\pi\)
−0.500242 + 0.865886i \(0.666756\pi\)
\(462\) 0.0621868 0.126779i 0.00289319 0.00589829i
\(463\) 27.0975i 1.25933i −0.776867 0.629664i \(-0.783192\pi\)
0.776867 0.629664i \(-0.216808\pi\)
\(464\) 25.9167 17.8988i 1.20315 0.830932i
\(465\) −1.40106 0.808905i −0.0649728 0.0375121i
\(466\) 0.0642856 + 0.160868i 0.00297797 + 0.00745205i
\(467\) 3.44943 + 26.2010i 0.159621 + 1.21244i 0.864323 + 0.502937i \(0.167747\pi\)
−0.704703 + 0.709503i \(0.748920\pi\)
\(468\) −1.71038 2.34852i −0.0790624 0.108561i
\(469\) −4.06288 + 2.80163i −0.187606 + 0.129367i
\(470\) 13.3793 7.50274i 0.617140 0.346075i
\(471\) 0.764735 2.85403i 0.0352371 0.131507i
\(472\) 30.4992 6.95590i 1.40384 0.320171i
\(473\) 0.550530 + 2.05461i 0.0253134 + 0.0944709i
\(474\) 3.27100 0.832706i 0.150242 0.0382475i
\(475\) −13.2848 + 5.50276i −0.609550 + 0.252484i
\(476\) −20.5117 23.8859i −0.940154 1.09481i
\(477\) 0.708635 1.71080i 0.0324462 0.0783320i
\(478\) −12.7967 17.1166i −0.585307 0.782893i
\(479\) 19.7905 34.2781i 0.904249 1.56621i 0.0823266 0.996605i \(-0.473765\pi\)
0.821922 0.569600i \(-0.192902\pi\)
\(480\) 0.188769 + 2.75998i 0.00861608 + 0.125975i
\(481\) 1.07433 + 1.86080i 0.0489853 + 0.0848450i
\(482\) −12.5252 + 1.48966i −0.570505 + 0.0678522i
\(483\) −0.439993 1.23640i −0.0200204 0.0562583i
\(484\) −11.4170 + 18.6785i −0.518957 + 0.849023i
\(485\) −30.6711 23.5348i −1.39270 1.06866i
\(486\) 4.26841 + 4.37667i 0.193619 + 0.198530i
\(487\) −3.97491 14.8346i −0.180120 0.672218i −0.995623 0.0934643i \(-0.970206\pi\)
0.815502 0.578754i \(-0.196461\pi\)
\(488\) −1.81551 3.43650i −0.0821843 0.155563i
\(489\) 0.972183 + 0.972183i 0.0439636 + 0.0439636i
\(490\) 29.6913 + 3.40374i 1.34132 + 0.153765i
\(491\) −4.56826 11.0288i −0.206163 0.497721i 0.786650 0.617399i \(-0.211814\pi\)
−0.992813 + 0.119678i \(0.961814\pi\)
\(492\) −3.19262 1.41710i −0.143934 0.0638880i
\(493\) −37.1696 + 28.5212i −1.67403 + 1.28453i
\(494\) −0.896061 2.24229i −0.0403157 0.100886i
\(495\) −1.81132 + 1.04576i −0.0814126 + 0.0470036i
\(496\) 11.7766 6.03420i 0.528784 0.270943i
\(497\) 15.3900 + 17.0391i 0.690337 + 0.764309i
\(498\) −1.00823 0.793896i −0.0451798 0.0355753i
\(499\) −5.33596 40.5306i −0.238870 1.81440i −0.519373 0.854547i \(-0.673835\pi\)
0.280503 0.959853i \(-0.409499\pi\)
\(500\) −4.16173 3.36229i −0.186118 0.150366i
\(501\) −2.56964 0.338299i −0.114803 0.0151141i
\(502\) 9.52019 16.0227i 0.424907 0.715128i
\(503\) 22.4030 + 22.4030i 0.998901 + 0.998901i 0.999999 0.00109823i \(-0.000349579\pi\)
−0.00109823 + 0.999999i \(0.500350\pi\)
\(504\) −0.946038 22.2335i −0.0421399 0.990357i
\(505\) −10.5273 + 10.5273i −0.468459 + 0.468459i
\(506\) −0.248889 0.977678i −0.0110645 0.0434631i
\(507\) 0.269829 2.04955i 0.0119835 0.0910239i
\(508\) 10.2318 34.6867i 0.453965 1.53897i
\(509\) 42.8553 5.64201i 1.89953 0.250078i 0.912317 0.409485i \(-0.134291\pi\)
0.987213 + 0.159407i \(0.0509582\pi\)
\(510\) −0.485994 4.08626i −0.0215202 0.180943i
\(511\) −3.06793 14.3242i −0.135717 0.633664i
\(512\) −19.7986 10.9552i −0.874981 0.484157i
\(513\) 1.69122 + 2.92928i 0.0746692 + 0.129331i
\(514\) −9.01802 3.86838i −0.397768 0.170627i
\(515\) −8.43653 10.9947i −0.371758 0.484484i
\(516\) −2.03861 2.14336i −0.0897447 0.0943563i
\(517\) 0.773325 0.320322i 0.0340108 0.0140877i
\(518\) −1.04159 + 16.4248i −0.0457647 + 0.721665i
\(519\) −0.598490 + 0.598490i −0.0262708 + 0.0262708i
\(520\) −2.66174 + 3.21150i −0.116725 + 0.140834i
\(521\) 3.63378 0.973669i 0.159199 0.0426572i −0.178339 0.983969i \(-0.557072\pi\)
0.337538 + 0.941312i \(0.390406\pi\)
\(522\) −33.1125 0.414664i −1.44929 0.0181493i
\(523\) 2.23284 2.90989i 0.0976351 0.127241i −0.741981 0.670421i \(-0.766113\pi\)
0.839616 + 0.543181i \(0.182780\pi\)
\(524\) 6.24107 39.6962i 0.272642 1.73414i
\(525\) 1.34250 + 1.14301i 0.0585915 + 0.0498849i
\(526\) 22.6150 + 17.8074i 0.986059 + 0.776439i
\(527\) −17.0463 + 9.84167i −0.742547 + 0.428710i
\(528\) −0.00755822 + 0.150770i −0.000328929 + 0.00656141i
\(529\) 11.7987 + 6.81197i 0.512986 + 0.296173i
\(530\) −2.63125 0.379988i −0.114294 0.0165056i
\(531\) −30.3862 12.5864i −1.31865 0.546201i
\(532\) 3.79682 18.1017i 0.164613 0.784807i
\(533\) −2.01546 4.86576i −0.0872994 0.210759i
\(534\) −2.24553 1.33422i −0.0971735 0.0577375i
\(535\) −58.9974 + 15.8083i −2.55068 + 0.683453i
\(536\) 2.80772 4.46680i 0.121275 0.192936i
\(537\) −3.42911 0.918828i −0.147977 0.0396504i
\(538\) −1.56112 + 5.54737i −0.0673047 + 0.239164i
\(539\) 1.58693 + 0.375783i 0.0683538 + 0.0161861i
\(540\) 3.04721 4.98529i 0.131131 0.214533i
\(541\) −5.35839 + 0.705446i −0.230375 + 0.0303295i −0.244830 0.969566i \(-0.578732\pi\)
0.0144547 + 0.999896i \(0.495399\pi\)
\(542\) −4.98802 + 11.6281i −0.214254 + 0.499471i
\(543\) 1.66032 2.87576i 0.0712512 0.123411i
\(544\) 30.2293 + 14.8009i 1.29607 + 0.634584i
\(545\) −0.379424 −0.0162527
\(546\) −0.194751 + 0.223022i −0.00833457 + 0.00954448i
\(547\) 3.07158 7.41545i 0.131331 0.317062i −0.844511 0.535538i \(-0.820109\pi\)
0.975842 + 0.218477i \(0.0701087\pi\)
\(548\) 0.560028 22.3567i 0.0239232 0.955029i
\(549\) −0.533369 + 4.05134i −0.0227636 + 0.172907i
\(550\) 0.946348 + 0.970351i 0.0403524 + 0.0413759i
\(551\) −26.5851 7.12344i −1.13256 0.303469i
\(552\) 0.954091 + 1.02861i 0.0406088 + 0.0437805i
\(553\) 17.7510 + 34.7052i 0.754851 + 1.47581i
\(554\) −28.8215 + 16.1623i −1.22451 + 0.686670i
\(555\) −1.30948 + 1.70655i −0.0555845 + 0.0724391i
\(556\) −0.632869 + 0.0672438i −0.0268396 + 0.00285177i
\(557\) −0.232128 + 0.178118i −0.00983559 + 0.00754711i −0.613668 0.789565i \(-0.710306\pi\)
0.603832 + 0.797112i \(0.293640\pi\)
\(558\) −13.7696 1.98851i −0.582913 0.0841806i
\(559\) 4.46005i 0.188640i
\(560\) −30.5987 + 9.19111i −1.29303 + 0.388395i
\(561\) 0.224551i 0.00948057i
\(562\) −3.97220 + 27.5058i −0.167557 + 1.16026i
\(563\) −15.0810 + 11.5721i −0.635590 + 0.487705i −0.875582 0.483070i \(-0.839522\pi\)
0.239992 + 0.970775i \(0.422855\pi\)
\(564\) −0.731520 + 0.905452i −0.0308025 + 0.0381264i
\(565\) 17.0382 22.2046i 0.716803 0.934155i
\(566\) 7.05216 + 12.5758i 0.296424 + 0.528599i
\(567\) −12.5993 + 19.4673i −0.529121 + 0.817549i
\(568\) −22.3086 10.2384i −0.936047 0.429592i
\(569\) −3.27356 0.877147i −0.137235 0.0367719i 0.189548 0.981871i \(-0.439298\pi\)
−0.326783 + 0.945100i \(0.605964\pi\)
\(570\) 1.73063 1.68782i 0.0724882 0.0706951i
\(571\) −3.74504 + 28.4464i −0.156725 + 1.19045i 0.714526 + 0.699609i \(0.246642\pi\)
−0.871251 + 0.490837i \(0.836691\pi\)
\(572\) −0.164926 + 0.156866i −0.00689592 + 0.00655888i
\(573\) −0.432029 + 1.04301i −0.0180483 + 0.0435724i
\(574\) 7.78613 39.5817i 0.324987 1.65211i
\(575\) 12.5969 0.525325
\(576\) 10.3150 + 21.4376i 0.429791 + 0.893231i
\(577\) 2.58997 4.48596i 0.107822 0.186753i −0.807066 0.590462i \(-0.798946\pi\)
0.914888 + 0.403709i \(0.132279\pi\)
\(578\) −23.9173 10.2596i −0.994829 0.426743i
\(579\) 0.607495 0.0799782i 0.0252466 0.00332378i
\(580\) 11.1512 + 46.2167i 0.463027 + 1.91905i
\(581\) 6.35960 13.3866i 0.263840 0.555369i
\(582\) 2.82403 + 0.794729i 0.117060 + 0.0329426i
\(583\) −0.140129 0.0375474i −0.00580354 0.00155505i
\(584\) 9.06013 + 12.7736i 0.374911 + 0.528574i
\(585\) 4.23606 1.13505i 0.175139 0.0469284i
\(586\) 8.29240 13.9563i 0.342556 0.576529i
\(587\) 11.2647 + 27.1953i 0.464942 + 1.12247i 0.966344 + 0.257255i \(0.0828179\pi\)
−0.501402 + 0.865215i \(0.667182\pi\)
\(588\) −2.18810 + 0.596252i −0.0902358 + 0.0245890i
\(589\) −10.6828 4.42498i −0.440179 0.182328i
\(590\) −6.74912 + 46.7347i −0.277857 + 1.92404i
\(591\) −0.327169 0.188891i −0.0134579 0.00776995i
\(592\) −5.91069 16.5716i −0.242928 0.681088i
\(593\) 22.2794 12.8630i 0.914906 0.528221i 0.0328994 0.999459i \(-0.489526\pi\)
0.882006 + 0.471238i \(0.156193\pi\)
\(594\) 0.197245 0.250496i 0.00809305 0.0102780i
\(595\) 44.7739 15.9335i 1.83555 0.653209i
\(596\) 25.3895 + 34.8624i 1.04000 + 1.42802i
\(597\) −1.35292 + 1.76316i −0.0553715 + 0.0721615i
\(598\) −0.0264884 + 2.11520i −0.00108319 + 0.0864970i
\(599\) 34.2524 9.17789i 1.39951 0.374998i 0.521343 0.853347i \(-0.325431\pi\)
0.878170 + 0.478349i \(0.158764\pi\)
\(600\) −1.80107 0.555887i −0.0735286 0.0226940i
\(601\) 23.2564 23.2564i 0.948647 0.948647i −0.0500977 0.998744i \(-0.515953\pi\)
0.998744 + 0.0500977i \(0.0159533\pi\)
\(602\) 18.9191 28.4448i 0.771087 1.15932i
\(603\) −5.12479 + 2.12276i −0.208698 + 0.0864454i
\(604\) 0.0847302 3.38248i 0.00344762 0.137631i
\(605\) −20.1161 26.2158i −0.817835 1.06582i
\(606\) 0.445379 1.03827i 0.0180923 0.0421770i
\(607\) −8.39340 14.5378i −0.340678 0.590071i 0.643881 0.765126i \(-0.277323\pi\)
−0.984559 + 0.175055i \(0.943990\pi\)
\(608\) 3.91248 + 19.3817i 0.158672 + 0.786030i
\(609\) 0.706779 + 3.29995i 0.0286401 + 0.133721i
\(610\) 5.82560 0.692859i 0.235872 0.0280531i
\(611\) −1.74008 + 0.229086i −0.0703962 + 0.00926783i
\(612\) −16.9208 31.0801i −0.683984 1.25634i
\(613\) −2.68416 + 20.3882i −0.108412 + 0.823472i 0.847701 + 0.530475i \(0.177986\pi\)
−0.956113 + 0.292998i \(0.905347\pi\)
\(614\) −37.4245 + 9.52724i −1.51033 + 0.384488i
\(615\) 3.72825 3.72825i 0.150337 0.150337i
\(616\) −1.71726 + 0.300837i −0.0691904 + 0.0121211i
\(617\) −1.22886 1.22886i −0.0494719 0.0494719i 0.681938 0.731410i \(-0.261137\pi\)
−0.731410 + 0.681938i \(0.761137\pi\)
\(618\) 0.904104 + 0.537190i 0.0363684 + 0.0216090i
\(619\) 11.2272 + 1.47809i 0.451260 + 0.0594095i 0.352731 0.935725i \(-0.385253\pi\)
0.0985287 + 0.995134i \(0.468586\pi\)
\(620\) 2.11040 + 19.8622i 0.0847558 + 0.797684i
\(621\) −0.386766 2.93778i −0.0155204 0.117889i
\(622\) 9.63557 12.2369i 0.386351 0.490657i
\(623\) 9.27720 28.7037i 0.371683 1.14999i
\(624\) 0.0971290 0.301258i 0.00388827 0.0120600i
\(625\) 24.8076 14.3227i 0.992305 0.572908i
\(626\) 39.7611 15.8893i 1.58917 0.635062i
\(627\) 0.104654 0.0803037i 0.00417947 0.00320702i
\(628\) −34.0419 + 13.1118i −1.35842 + 0.523219i
\(629\) 10.0153 + 24.1791i 0.399336 + 0.964083i
\(630\) 31.8310 + 10.7300i 1.26818 + 0.427494i
\(631\) −16.3051 16.3051i −0.649097 0.649097i 0.303678 0.952775i \(-0.401785\pi\)
−0.952775 + 0.303678i \(0.901785\pi\)
\(632\) −32.0852 26.5926i −1.27628 1.05780i
\(633\) −0.492059 1.83639i −0.0195576 0.0729899i
\(634\) −7.75068 + 7.55896i −0.307819 + 0.300205i
\(635\) 43.3081 + 33.2315i 1.71863 + 1.31875i
\(636\) 0.196116 0.0473189i 0.00777651 0.00187632i
\(637\) −3.01013 1.62230i −0.119266 0.0642777i
\(638\) 0.306394 + 2.57618i 0.0121302 + 0.101992i
\(639\) 12.9035 + 22.3496i 0.510455 + 0.884135i
\(640\) 26.1729 21.9443i 1.03458 0.867427i
\(641\) −3.07925 + 5.33342i −0.121623 + 0.210657i −0.920408 0.390959i \(-0.872143\pi\)
0.798785 + 0.601617i \(0.205477\pi\)
\(642\) 3.71220 2.77532i 0.146509 0.109533i
\(643\) 5.12564 12.3744i 0.202135 0.487998i −0.790009 0.613095i \(-0.789924\pi\)
0.992145 + 0.125097i \(0.0399242\pi\)
\(644\) −9.14144 + 13.3777i −0.360223 + 0.527157i
\(645\) 4.12515 1.70869i 0.162427 0.0672797i
\(646\) −7.25597 28.5026i −0.285482 1.12142i
\(647\) −3.27222 12.2121i −0.128644 0.480106i 0.871299 0.490752i \(-0.163278\pi\)
−0.999943 + 0.0106459i \(0.996611\pi\)
\(648\) 4.15652 24.4388i 0.163284 0.960049i
\(649\) −0.666894 + 2.48888i −0.0261779 + 0.0976972i
\(650\) −1.39008 2.47886i −0.0545234 0.0972290i
\(651\) 0.113435 + 1.41329i 0.00444585 + 0.0553911i
\(652\) 2.63638 16.7686i 0.103248 0.656710i
\(653\) 2.34048 + 17.7777i 0.0915902 + 0.695697i 0.974215 + 0.225620i \(0.0724406\pi\)
−0.882625 + 0.470077i \(0.844226\pi\)
\(654\) 0.0267368 0.0106845i 0.00104549 0.000417797i
\(655\) 52.5296 + 30.3280i 2.05250 + 1.18501i
\(656\) 9.06208 + 42.1627i 0.353815 + 1.64618i
\(657\) 16.4651i 0.642366i
\(658\) −12.0695 5.92024i −0.470517 0.230795i
\(659\) −24.0460 9.96017i −0.936699 0.387993i −0.138483 0.990365i \(-0.544223\pi\)
−0.798216 + 0.602372i \(0.794223\pi\)
\(660\) −0.208272 0.0924454i −0.00810697 0.00359843i
\(661\) 24.2116 + 3.18752i 0.941723 + 0.123980i 0.585728 0.810508i \(-0.300809\pi\)
0.355995 + 0.934488i \(0.384142\pi\)
\(662\) −0.259960 + 20.7588i −0.0101036 + 0.806813i
\(663\) −0.121861 + 0.454793i −0.00473271 + 0.0176627i
\(664\) −0.595055 + 15.8325i −0.0230926 + 0.614421i
\(665\) 23.4379 + 15.1691i 0.908881 + 0.588232i
\(666\) −5.01104 + 17.8065i −0.194174 + 0.689988i
\(667\) 19.1285 + 14.6778i 0.740660 + 0.568328i
\(668\) 15.3007 + 28.1041i 0.592000 + 1.08738i
\(669\) 1.82736 + 2.38146i 0.0706498 + 0.0920726i
\(670\) 4.76858 + 6.37834i 0.184226 + 0.246417i
\(671\) 0.320133 0.0123586
\(672\) 1.89737 1.50932i 0.0731927 0.0582233i
\(673\) −21.0532 −0.811541 −0.405770 0.913975i \(-0.632997\pi\)
−0.405770 + 0.913975i \(0.632997\pi\)
\(674\) −12.3048 16.4586i −0.473963 0.633963i
\(675\) 2.42348 + 3.15835i 0.0932799 + 0.121565i
\(676\) −22.4160 + 12.2039i −0.862153 + 0.469379i
\(677\) 7.37913 + 5.66220i 0.283603 + 0.217616i 0.740760 0.671770i \(-0.234466\pi\)
−0.457157 + 0.889386i \(0.651132\pi\)
\(678\) −0.575351 + 2.04448i −0.0220962 + 0.0785178i
\(679\) −1.72072 + 33.8376i −0.0660351 + 1.29857i
\(680\) −37.2490 + 34.5505i −1.42844 + 1.32495i
\(681\) −0.883455 + 3.29710i −0.0338541 + 0.126345i
\(682\) −0.0136482 + 1.08986i −0.000522615 + 0.0417328i
\(683\) 24.9846 + 3.28929i 0.956010 + 0.125861i 0.592359 0.805674i \(-0.298197\pi\)
0.363651 + 0.931535i \(0.381530\pi\)
\(684\) 8.43391 19.0009i 0.322478 0.726517i
\(685\) 31.1875 + 12.9183i 1.19161 + 0.493582i
\(686\) −12.3161 23.1152i −0.470230 0.882544i
\(687\) 0.541627i 0.0206643i
\(688\) −6.57380 + 35.9242i −0.250624 + 1.36960i
\(689\) 0.263432 + 0.152093i 0.0100360 + 0.00579426i
\(690\) −1.96652 + 0.785857i −0.0748642 + 0.0299170i
\(691\) 2.07939 + 15.7945i 0.0791037 + 0.600852i 0.984384 + 0.176037i \(0.0563277\pi\)
−0.905280 + 0.424816i \(0.860339\pi\)
\(692\) 10.3230 + 1.62299i 0.392422 + 0.0616968i
\(693\) 1.65565 + 0.786556i 0.0628931 + 0.0298788i
\(694\) −9.41321 16.7861i −0.357321 0.637193i
\(695\) 0.248639 0.927933i 0.00943142 0.0351985i
\(696\) −2.08724 2.94273i −0.0791167 0.111544i
\(697\) −16.6030 61.9633i −0.628884 2.34703i
\(698\) −3.16437 12.4301i −0.119773 0.470488i
\(699\) 0.0183330 0.00759379i 0.000693419 0.000287223i
\(700\) 1.64963 21.7060i 0.0623502 0.820411i
\(701\) 3.98717 9.62588i 0.150593 0.363564i −0.830523 0.556985i \(-0.811958\pi\)
0.981116 + 0.193420i \(0.0619581\pi\)
\(702\) −0.535429 + 0.400298i −0.0202085 + 0.0151083i
\(703\) −7.68718 + 13.3146i −0.289927 + 0.502169i
\(704\) 1.55964 1.02041i 0.0587810 0.0384581i
\(705\) −0.878528 1.52166i −0.0330873 0.0573088i
\(706\) 3.13014 + 26.3184i 0.117805 + 0.990507i
\(707\) 12.8328 + 2.35782i 0.482626 + 0.0886751i
\(708\) −0.840450 3.48330i −0.0315861 0.130910i
\(709\) −38.9595 29.8946i −1.46315 1.12272i −0.967091 0.254430i \(-0.918112\pi\)
−0.496062 0.868287i \(-0.665221\pi\)
\(710\) 26.5250 25.8689i 0.995465 0.970841i
\(711\) 11.3399 + 42.3212i 0.425280 + 1.58717i
\(712\) 3.00548 + 32.1082i 0.112635 + 1.20330i
\(713\) 7.16272 + 7.16272i 0.268246 + 0.268246i
\(714\) −2.70639 + 2.38360i −0.101284 + 0.0892041i
\(715\) −0.131479 0.317419i −0.00491705 0.0118708i
\(716\) 15.7538 + 40.9013i 0.588749 + 1.52855i
\(717\) −1.94212 + 1.49024i −0.0725297 + 0.0556540i
\(718\) −21.3538 + 8.53334i −0.796915 + 0.318461i
\(719\) 20.4741 11.8207i 0.763553 0.440838i −0.0670168 0.997752i \(-0.521348\pi\)
0.830570 + 0.556914i \(0.188015\pi\)
\(720\) −35.7930 + 2.89877i −1.33393 + 0.108031i
\(721\) −3.73523 + 11.5568i −0.139107 + 0.430399i
\(722\) −5.93412 + 7.53619i −0.220845 + 0.280468i
\(723\) 0.188586 + 1.43245i 0.00701358 + 0.0532735i
\(724\) −40.7681 + 4.33171i −1.51514 + 0.160987i
\(725\) −32.1163 4.22819i −1.19277 0.157031i
\(726\) 2.15575 + 1.28088i 0.0800073 + 0.0475379i
\(727\) 23.1640 + 23.1640i 0.859107 + 0.859107i 0.991233 0.132126i \(-0.0421804\pi\)
−0.132126 + 0.991233i \(0.542180\pi\)
\(728\) 3.64130 + 0.322641i 0.134956 + 0.0119579i
\(729\) −18.0972 + 18.0972i −0.670266 + 0.670266i
\(730\) −22.9082 + 5.83179i −0.847870 + 0.215844i
\(731\) 7.09076 53.8597i 0.262261 1.99207i
\(732\) −0.391001 + 0.212871i −0.0144518 + 0.00786795i
\(733\) 31.0005 4.08130i 1.14503 0.150746i 0.465951 0.884811i \(-0.345712\pi\)
0.679080 + 0.734064i \(0.262379\pi\)
\(734\) −10.8093 + 1.28559i −0.398980 + 0.0474521i
\(735\) 0.347265 3.40563i 0.0128091 0.125618i
\(736\) 3.33102 16.9982i 0.122783 0.626561i
\(737\) 0.217286 + 0.376350i 0.00800382 + 0.0138630i
\(738\) 17.8746 41.6695i 0.657973 1.53387i
\(739\) −18.8048 24.5069i −0.691746 0.901501i 0.306993 0.951712i \(-0.400677\pi\)
−0.998739 + 0.0502111i \(0.984011\pi\)
\(740\) 26.5493 + 0.665053i 0.975972 + 0.0244478i
\(741\) −0.255540 + 0.105848i −0.00938748 + 0.00388842i
\(742\) 1.03492 + 2.08746i 0.0379933 + 0.0766329i
\(743\) −11.1632 + 11.1632i −0.409537 + 0.409537i −0.881577 0.472040i \(-0.843518\pi\)
0.472040 + 0.881577i \(0.343518\pi\)
\(744\) −0.708028 1.34020i −0.0259576 0.0491339i
\(745\) −62.8816 + 16.8491i −2.30380 + 0.617303i
\(746\) 0.0309170 2.46884i 0.00113195 0.0903906i
\(747\) 10.1406 13.2155i 0.371026 0.483530i
\(748\) −2.24105 + 1.63211i −0.0819409 + 0.0596758i
\(749\) 40.7574 + 34.7009i 1.48924 + 1.26794i
\(750\) −0.379136 + 0.481493i −0.0138441 + 0.0175816i
\(751\) 21.7475 12.5559i 0.793578 0.458172i −0.0476427 0.998864i \(-0.515171\pi\)
0.841221 + 0.540692i \(0.181838\pi\)
\(752\) 14.3534 + 0.719550i 0.523416 + 0.0262393i
\(753\) −1.84884 1.06743i −0.0673755 0.0388993i
\(754\) 0.777510 5.38391i 0.0283152 0.196071i
\(755\) 4.71856 + 1.95449i 0.171726 + 0.0711312i
\(756\) −5.11283 + 0.281730i −0.185952 + 0.0102464i
\(757\) 13.2979 + 32.1039i 0.483320 + 1.16684i 0.958023 + 0.286691i \(0.0925554\pi\)
−0.474703 + 0.880146i \(0.657445\pi\)
\(758\) −2.74988 + 4.62811i −0.0998801 + 0.168101i
\(759\) −0.111623 + 0.0299093i −0.00405165 + 0.00108564i
\(760\) −29.4234 5.00429i −1.06730 0.181525i
\(761\) −41.3619 11.0829i −1.49937 0.401754i −0.586480 0.809964i \(-0.699487\pi\)
−0.912888 + 0.408209i \(0.866153\pi\)
\(762\) −3.98757 1.12217i −0.144455 0.0406519i
\(763\) 0.188768 + 0.273749i 0.00683387 + 0.00991037i
\(764\) 13.5495 3.26922i 0.490203 0.118276i
\(765\) 52.9593 6.97223i 1.91475 0.252081i
\(766\) 25.0811 + 10.7588i 0.906215 + 0.388732i
\(767\) 2.70138 4.67892i 0.0975410 0.168946i
\(768\) −1.22638 + 2.28337i −0.0442530 + 0.0823941i
\(769\) −38.3304 −1.38223 −0.691115 0.722744i \(-0.742880\pi\)
−0.691115 + 0.722744i \(0.742880\pi\)
\(770\) 0.507931 2.58213i 0.0183046 0.0930534i