Properties

Label 300.2.r.a.239.53
Level $300$
Weight $2$
Character 300.239
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 239.53
Character \(\chi\) \(=\) 300.239
Dual form 300.2.r.a.59.53

$q$-expansion

\(f(q)\) \(=\) \(q+(1.37885 - 0.314289i) q^{2} +(-1.65397 + 0.514177i) q^{3} +(1.80244 - 0.866714i) q^{4} +(-1.94623 - 1.10099i) q^{5} +(-2.11898 + 1.22880i) q^{6} +2.63015 q^{7} +(2.21290 - 1.76156i) q^{8} +(2.47124 - 1.70087i) q^{9} +O(q^{10})\) \(q+(1.37885 - 0.314289i) q^{2} +(-1.65397 + 0.514177i) q^{3} +(1.80244 - 0.866714i) q^{4} +(-1.94623 - 1.10099i) q^{5} +(-2.11898 + 1.22880i) q^{6} +2.63015 q^{7} +(2.21290 - 1.76156i) q^{8} +(2.47124 - 1.70087i) q^{9} +(-3.02959 - 0.906413i) q^{10} +(0.908434 - 0.660016i) q^{11} +(-2.53555 + 2.36030i) q^{12} +(4.15899 - 5.72437i) q^{13} +(3.62658 - 0.826628i) q^{14} +(3.78512 + 0.820292i) q^{15} +(2.49761 - 3.12441i) q^{16} +(1.53447 + 4.72262i) q^{17} +(2.87291 - 3.12192i) q^{18} +(-6.71489 + 2.18180i) q^{19} +(-4.46222 - 0.297638i) q^{20} +(-4.35020 + 1.35236i) q^{21} +(1.04516 - 1.19557i) q^{22} +(-1.81587 - 2.49933i) q^{23} +(-2.75432 + 4.05138i) q^{24} +(2.57566 + 4.28556i) q^{25} +(3.93552 - 9.20016i) q^{26} +(-3.21282 + 4.08384i) q^{27} +(4.74070 - 2.27959i) q^{28} +(0.240777 + 0.0782332i) q^{29} +(5.47691 - 0.0585630i) q^{30} +(-4.71722 + 1.53272i) q^{31} +(2.46186 - 5.09306i) q^{32} +(-1.16316 + 1.55874i) q^{33} +(3.60007 + 6.02951i) q^{34} +(-5.11889 - 2.89576i) q^{35} +(2.98012 - 5.20758i) q^{36} +(-2.57019 + 3.53756i) q^{37} +(-8.57310 + 5.11879i) q^{38} +(-3.93553 + 11.6064i) q^{39} +(-6.24627 + 0.992030i) q^{40} +(-2.13451 + 2.93790i) q^{41} +(-5.57323 + 3.23192i) q^{42} +7.40077 q^{43} +(1.06536 - 1.97699i) q^{44} +(-6.68225 + 0.589479i) q^{45} +(-3.28932 - 2.87549i) q^{46} +(9.30818 + 3.02441i) q^{47} +(-2.52448 + 6.45190i) q^{48} -0.0823015 q^{49} +(4.89834 + 5.09963i) q^{50} +(-4.96624 - 7.02209i) q^{51} +(2.53497 - 13.9225i) q^{52} +(-0.355319 + 1.09356i) q^{53} +(-3.14649 + 6.64075i) q^{54} +(-2.49469 + 0.284372i) q^{55} +(5.82026 - 4.63316i) q^{56} +(9.98440 - 7.06127i) q^{57} +(0.356583 + 0.0321981i) q^{58} +(-1.37468 - 0.998760i) q^{59} +(7.53343 - 1.80208i) q^{60} +(-3.31802 + 2.41068i) q^{61} +(-6.02261 + 3.59595i) q^{62} +(6.49975 - 4.47354i) q^{63} +(1.79384 - 7.79629i) q^{64} +(-14.3968 + 6.56196i) q^{65} +(-1.11392 + 2.51484i) q^{66} +(-0.555298 - 1.70903i) q^{67} +(6.85897 + 7.18232i) q^{68} +(4.28850 + 3.20015i) q^{69} +(-7.96828 - 2.38400i) q^{70} +(-2.17375 + 6.69012i) q^{71} +(2.47244 - 8.11708i) q^{72} +(-1.35514 - 1.86519i) q^{73} +(-2.43208 + 5.68554i) q^{74} +(-6.46360 - 5.76385i) q^{75} +(-10.2122 + 9.75246i) q^{76} +(2.38932 - 1.73594i) q^{77} +(-1.77873 + 17.2404i) q^{78} +(-5.36703 - 1.74385i) q^{79} +(-8.30087 + 3.33099i) q^{80} +(3.21410 - 8.40652i) q^{81} +(-2.01981 + 4.72177i) q^{82} +(-8.73160 + 2.83707i) q^{83} +(-6.66888 + 6.20794i) q^{84} +(2.21310 - 10.8808i) q^{85} +(10.2045 - 2.32598i) q^{86} +(-0.438464 - 0.00559360i) q^{87} +(0.847617 - 3.06080i) q^{88} +(7.11762 + 9.79656i) q^{89} +(-9.02855 + 2.91296i) q^{90} +(10.9388 - 15.0559i) q^{91} +(-5.43921 - 2.93107i) q^{92} +(7.01406 - 4.96055i) q^{93} +(13.7851 + 1.24474i) q^{94} +(15.4709 + 3.14671i) q^{95} +(-1.45312 + 9.68961i) q^{96} +(1.59344 + 0.517741i) q^{97} +(-0.113481 + 0.0258665i) q^{98} +(1.12236 - 3.17619i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37885 0.314289i 0.974993 0.222236i
\(3\) −1.65397 + 0.514177i −0.954921 + 0.296860i
\(4\) 1.80244 0.866714i 0.901222 0.433357i
\(5\) −1.94623 1.10099i −0.870383 0.492376i
\(6\) −2.11898 + 1.22880i −0.865068 + 0.501654i
\(7\) 2.63015 0.994104 0.497052 0.867721i \(-0.334416\pi\)
0.497052 + 0.867721i \(0.334416\pi\)
\(8\) 2.21290 1.76156i 0.782378 0.622804i
\(9\) 2.47124 1.70087i 0.823748 0.566956i
\(10\) −3.02959 0.906413i −0.958040 0.286633i
\(11\) 0.908434 0.660016i 0.273903 0.199002i −0.442351 0.896842i \(-0.645855\pi\)
0.716254 + 0.697840i \(0.245855\pi\)
\(12\) −2.53555 + 2.36030i −0.731950 + 0.681359i
\(13\) 4.15899 5.72437i 1.15350 1.58765i 0.420711 0.907195i \(-0.361781\pi\)
0.732787 0.680459i \(-0.238219\pi\)
\(14\) 3.62658 0.826628i 0.969244 0.220926i
\(15\) 3.78512 + 0.820292i 0.977313 + 0.211799i
\(16\) 2.49761 3.12441i 0.624403 0.781102i
\(17\) 1.53447 + 4.72262i 0.372164 + 1.14540i 0.945372 + 0.325994i \(0.105699\pi\)
−0.573207 + 0.819410i \(0.694301\pi\)
\(18\) 2.87291 3.12192i 0.677151 0.735844i
\(19\) −6.71489 + 2.18180i −1.54050 + 0.500539i −0.951515 0.307604i \(-0.900473\pi\)
−0.588986 + 0.808143i \(0.700473\pi\)
\(20\) −4.46222 0.297638i −0.997783 0.0665539i
\(21\) −4.35020 + 1.35236i −0.949291 + 0.295110i
\(22\) 1.04516 1.19557i 0.222828 0.254897i
\(23\) −1.81587 2.49933i −0.378635 0.521147i 0.576587 0.817036i \(-0.304384\pi\)
−0.955222 + 0.295889i \(0.904384\pi\)
\(24\) −2.75432 + 4.05138i −0.562223 + 0.826985i
\(25\) 2.57566 + 4.28556i 0.515131 + 0.857111i
\(26\) 3.93552 9.20016i 0.771818 1.80430i
\(27\) −3.21282 + 4.08384i −0.618308 + 0.785936i
\(28\) 4.74070 2.27959i 0.895909 0.430802i
\(29\) 0.240777 + 0.0782332i 0.0447112 + 0.0145275i 0.331287 0.943530i \(-0.392517\pi\)
−0.286576 + 0.958058i \(0.592517\pi\)
\(30\) 5.47691 0.0585630i 0.999943 0.0106921i
\(31\) −4.71722 + 1.53272i −0.847237 + 0.275284i −0.700288 0.713860i \(-0.746945\pi\)
−0.146949 + 0.989144i \(0.546945\pi\)
\(32\) 2.46186 5.09306i 0.435200 0.900334i
\(33\) −1.16316 + 1.55874i −0.202480 + 0.271342i
\(34\) 3.60007 + 6.02951i 0.617408 + 1.03405i
\(35\) −5.11889 2.89576i −0.865251 0.489473i
\(36\) 2.98012 5.20758i 0.496686 0.867930i
\(37\) −2.57019 + 3.53756i −0.422536 + 0.581571i −0.966220 0.257719i \(-0.917029\pi\)
0.543684 + 0.839290i \(0.317029\pi\)
\(38\) −8.57310 + 5.11879i −1.39074 + 0.830377i
\(39\) −3.93553 + 11.6064i −0.630188 + 1.85851i
\(40\) −6.24627 + 0.992030i −0.987622 + 0.156854i
\(41\) −2.13451 + 2.93790i −0.333354 + 0.458823i −0.942486 0.334247i \(-0.891518\pi\)
0.609131 + 0.793069i \(0.291518\pi\)
\(42\) −5.57323 + 3.23192i −0.859968 + 0.498696i
\(43\) 7.40077 1.12861 0.564303 0.825567i \(-0.309145\pi\)
0.564303 + 0.825567i \(0.309145\pi\)
\(44\) 1.06536 1.97699i 0.160609 0.298043i
\(45\) −6.68225 + 0.589479i −0.996132 + 0.0878743i
\(46\) −3.28932 2.87549i −0.484984 0.423968i
\(47\) 9.30818 + 3.02441i 1.35774 + 0.441156i 0.895287 0.445489i \(-0.146970\pi\)
0.462451 + 0.886645i \(0.346970\pi\)
\(48\) −2.52448 + 6.45190i −0.364378 + 0.931251i
\(49\) −0.0823015 −0.0117574
\(50\) 4.89834 + 5.09963i 0.692730 + 0.721197i
\(51\) −4.96624 7.02209i −0.695412 0.983290i
\(52\) 2.53497 13.9225i 0.351537 1.93070i
\(53\) −0.355319 + 1.09356i −0.0488068 + 0.150212i −0.972490 0.232946i \(-0.925163\pi\)
0.923683 + 0.383158i \(0.125163\pi\)
\(54\) −3.14649 + 6.64075i −0.428183 + 0.903692i
\(55\) −2.49469 + 0.284372i −0.336384 + 0.0383447i
\(56\) 5.82026 4.63316i 0.777765 0.619132i
\(57\) 9.98440 7.06127i 1.32247 0.935288i
\(58\) 0.356583 + 0.0321981i 0.0468216 + 0.00422782i
\(59\) −1.37468 0.998760i −0.178967 0.130027i 0.494695 0.869067i \(-0.335280\pi\)
−0.673662 + 0.739039i \(0.735280\pi\)
\(60\) 7.53343 1.80208i 0.972561 0.232648i
\(61\) −3.31802 + 2.41068i −0.424829 + 0.308656i −0.779578 0.626305i \(-0.784566\pi\)
0.354749 + 0.934962i \(0.384566\pi\)
\(62\) −6.02261 + 3.59595i −0.764872 + 0.456687i
\(63\) 6.49975 4.47354i 0.818891 0.563613i
\(64\) 1.79384 7.79629i 0.224230 0.974536i
\(65\) −14.3968 + 6.56196i −1.78571 + 0.813911i
\(66\) −1.11392 + 2.51484i −0.137115 + 0.309555i
\(67\) −0.555298 1.70903i −0.0678404 0.208791i 0.911389 0.411545i \(-0.135011\pi\)
−0.979230 + 0.202754i \(0.935011\pi\)
\(68\) 6.85897 + 7.18232i 0.831772 + 0.870984i
\(69\) 4.28850 + 3.20015i 0.516274 + 0.385252i
\(70\) −7.96828 2.38400i −0.952392 0.284943i
\(71\) −2.17375 + 6.69012i −0.257977 + 0.793971i 0.735252 + 0.677794i \(0.237064\pi\)
−0.993229 + 0.116177i \(0.962936\pi\)
\(72\) 2.47244 8.11708i 0.291380 0.956607i
\(73\) −1.35514 1.86519i −0.158607 0.218304i 0.722316 0.691563i \(-0.243078\pi\)
−0.880924 + 0.473259i \(0.843078\pi\)
\(74\) −2.43208 + 5.68554i −0.282724 + 0.660931i
\(75\) −6.46360 5.76385i −0.746352 0.665552i
\(76\) −10.2122 + 9.75246i −1.17142 + 1.11868i
\(77\) 2.38932 1.73594i 0.272288 0.197829i
\(78\) −1.77873 + 17.2404i −0.201401 + 1.95209i
\(79\) −5.36703 1.74385i −0.603838 0.196199i −0.00888659 0.999961i \(-0.502829\pi\)
−0.594951 + 0.803762i \(0.702829\pi\)
\(80\) −8.30087 + 3.33099i −0.928066 + 0.372416i
\(81\) 3.21410 8.40652i 0.357123 0.934058i
\(82\) −2.01981 + 4.72177i −0.223051 + 0.521432i
\(83\) −8.73160 + 2.83707i −0.958418 + 0.311409i −0.746131 0.665799i \(-0.768091\pi\)
−0.212286 + 0.977208i \(0.568091\pi\)
\(84\) −6.66888 + 6.20794i −0.727634 + 0.677341i
\(85\) 2.21310 10.8808i 0.240044 1.18018i
\(86\) 10.2045 2.32598i 1.10038 0.250817i
\(87\) −0.438464 0.00559360i −0.0470083 0.000599697i
\(88\) 0.847617 3.06080i 0.0903563 0.326283i
\(89\) 7.11762 + 9.79656i 0.754466 + 1.03843i 0.997654 + 0.0684541i \(0.0218067\pi\)
−0.243188 + 0.969979i \(0.578193\pi\)
\(90\) −9.02855 + 2.91296i −0.951692 + 0.307053i
\(91\) 10.9388 15.0559i 1.14670 1.57829i
\(92\) −5.43921 2.93107i −0.567077 0.305585i
\(93\) 7.01406 4.96055i 0.727324 0.514385i
\(94\) 13.7851 + 1.24474i 1.42183 + 0.128386i
\(95\) 15.4709 + 3.14671i 1.58728 + 0.322845i
\(96\) −1.45312 + 9.68961i −0.148308 + 0.988941i
\(97\) 1.59344 + 0.517741i 0.161790 + 0.0525686i 0.388792 0.921326i \(-0.372892\pi\)
−0.227002 + 0.973894i \(0.572892\pi\)
\(98\) −0.113481 + 0.0258665i −0.0114633 + 0.00261291i
\(99\) 1.12236 3.17619i 0.112802 0.319219i
\(100\) 8.35683 + 5.49212i 0.835683 + 0.549212i
\(101\) 1.05180i 0.104658i 0.998630 + 0.0523288i \(0.0166644\pi\)
−0.998630 + 0.0523288i \(0.983336\pi\)
\(102\) −9.05466 8.12157i −0.896545 0.804155i
\(103\) 1.57304 4.84133i 0.154997 0.477030i −0.843164 0.537657i \(-0.819310\pi\)
0.998161 + 0.0606261i \(0.0193097\pi\)
\(104\) −0.880357 19.9937i −0.0863261 1.96055i
\(105\) 9.95544 + 2.15749i 0.971551 + 0.210550i
\(106\) −0.146237 + 1.61952i −0.0142038 + 0.157302i
\(107\) 11.2872i 1.09117i 0.838054 + 0.545587i \(0.183693\pi\)
−0.838054 + 0.545587i \(0.816307\pi\)
\(108\) −2.25141 + 10.1455i −0.216642 + 0.976251i
\(109\) 11.8212 + 8.58863i 1.13227 + 0.822642i 0.986023 0.166606i \(-0.0532809\pi\)
0.146246 + 0.989248i \(0.453281\pi\)
\(110\) −3.35043 + 1.17616i −0.319451 + 0.112143i
\(111\) 2.43209 7.17256i 0.230844 0.680789i
\(112\) 6.56910 8.21767i 0.620722 0.776497i
\(113\) 0.338001 + 0.245572i 0.0317964 + 0.0231015i 0.603570 0.797310i \(-0.293744\pi\)
−0.571774 + 0.820411i \(0.693744\pi\)
\(114\) 11.5477 12.8744i 1.08154 1.20580i
\(115\) 0.782380 + 6.86353i 0.0729573 + 0.640028i
\(116\) 0.501793 0.0676739i 0.0465903 0.00628336i
\(117\) 0.541511 21.2202i 0.0500627 1.96181i
\(118\) −2.20937 0.945093i −0.203389 0.0870028i
\(119\) 4.03590 + 12.4212i 0.369970 + 1.13865i
\(120\) 9.82107 4.85247i 0.896537 0.442968i
\(121\) −3.00956 + 9.26246i −0.273596 + 0.842042i
\(122\) −3.81740 + 4.36678i −0.345611 + 0.395350i
\(123\) 2.01982 5.95672i 0.182121 0.537099i
\(124\) −7.17409 + 6.85111i −0.644253 + 0.615248i
\(125\) −0.294494 11.1765i −0.0263403 0.999653i
\(126\) 7.55618 8.21113i 0.673158 0.731506i
\(127\) 4.02987 2.92787i 0.357593 0.259806i −0.394455 0.918915i \(-0.629066\pi\)
0.752047 + 0.659109i \(0.229066\pi\)
\(128\) 0.0231433 11.3137i 0.00204560 0.999998i
\(129\) −12.2407 + 3.80530i −1.07773 + 0.335038i
\(130\) −17.7887 + 13.5727i −1.56017 + 1.19041i
\(131\) −3.79895 11.6920i −0.331916 1.02153i −0.968221 0.250095i \(-0.919538\pi\)
0.636305 0.771438i \(-0.280462\pi\)
\(132\) −0.745545 + 3.81767i −0.0648914 + 0.332286i
\(133\) −17.6612 + 5.73846i −1.53142 + 0.497588i
\(134\) −1.30280 2.18197i −0.112545 0.188494i
\(135\) 10.7492 4.41084i 0.925141 0.379625i
\(136\) 11.7148 + 7.74762i 1.00454 + 0.664353i
\(137\) −9.02585 6.55766i −0.771131 0.560259i 0.131174 0.991359i \(-0.458126\pi\)
−0.902304 + 0.431100i \(0.858126\pi\)
\(138\) 6.91896 + 3.06469i 0.588981 + 0.260883i
\(139\) −5.92738 8.15834i −0.502754 0.691982i 0.479922 0.877311i \(-0.340665\pi\)
−0.982676 + 0.185329i \(0.940665\pi\)
\(140\) −11.7363 0.782834i −0.991900 0.0661615i
\(141\) −16.9506 0.216242i −1.42749 0.0182109i
\(142\) −0.894641 + 9.90784i −0.0750766 + 0.831448i
\(143\) 7.94521i 0.664412i
\(144\) 0.858010 11.9693i 0.0715009 0.997441i
\(145\) −0.382475 0.417352i −0.0317628 0.0346592i
\(146\) −2.45475 2.14591i −0.203156 0.177597i
\(147\) 0.136124 0.0423175i 0.0112274 0.00349029i
\(148\) −1.56657 + 8.60388i −0.128771 + 0.707234i
\(149\) 1.07076i 0.0877200i 0.999038 + 0.0438600i \(0.0139656\pi\)
−0.999038 + 0.0438600i \(0.986034\pi\)
\(150\) −10.7238 5.91603i −0.875597 0.483042i
\(151\) 8.74944i 0.712019i 0.934482 + 0.356010i \(0.115863\pi\)
−0.934482 + 0.356010i \(0.884137\pi\)
\(152\) −11.0160 + 16.6568i −0.893516 + 1.35104i
\(153\) 11.8246 + 9.06082i 0.955963 + 0.732524i
\(154\) 2.74892 3.14454i 0.221514 0.253394i
\(155\) 10.8683 + 2.21057i 0.872964 + 0.177557i
\(156\) 2.96586 + 24.3309i 0.237459 + 1.94803i
\(157\) 2.09182i 0.166945i −0.996510 0.0834727i \(-0.973399\pi\)
0.996510 0.0834727i \(-0.0266011\pi\)
\(158\) −7.94839 0.717710i −0.632340 0.0570979i
\(159\) 0.0254049 1.99141i 0.00201474 0.157929i
\(160\) −10.3987 + 7.20181i −0.822093 + 0.569353i
\(161\) −4.77602 6.57362i −0.376403 0.518074i
\(162\) 1.78968 12.6015i 0.140611 0.990065i
\(163\) 8.04275 + 5.84340i 0.629957 + 0.457691i 0.856385 0.516337i \(-0.172705\pi\)
−0.226428 + 0.974028i \(0.572705\pi\)
\(164\) −1.30101 + 7.14541i −0.101592 + 0.557963i
\(165\) 3.97993 1.75306i 0.309837 0.136475i
\(166\) −11.1479 + 6.65613i −0.865244 + 0.516616i
\(167\) 19.9594 6.48519i 1.54450 0.501839i 0.591888 0.806020i \(-0.298383\pi\)
0.952614 + 0.304180i \(0.0983826\pi\)
\(168\) −7.24428 + 10.6558i −0.558908 + 0.822109i
\(169\) −11.4539 35.2515i −0.881069 2.71165i
\(170\) −0.368179 15.6985i −0.0282380 1.20402i
\(171\) −12.8832 + 16.8129i −0.985202 + 1.28571i
\(172\) 13.3395 6.41435i 1.01713 0.489090i
\(173\) −7.84149 + 5.69717i −0.596177 + 0.433148i −0.844520 0.535524i \(-0.820114\pi\)
0.248343 + 0.968672i \(0.420114\pi\)
\(174\) −0.606334 + 0.130092i −0.0459660 + 0.00986224i
\(175\) 6.77437 + 11.2717i 0.512094 + 0.852058i
\(176\) 0.206757 4.48678i 0.0155849 0.338204i
\(177\) 2.78721 + 0.945095i 0.209500 + 0.0710377i
\(178\) 12.8931 + 11.2710i 0.966376 + 0.844796i
\(179\) −1.49678 + 4.60660i −0.111874 + 0.344314i −0.991282 0.131755i \(-0.957939\pi\)
0.879408 + 0.476069i \(0.157939\pi\)
\(180\) −11.5335 + 6.85411i −0.859655 + 0.510875i
\(181\) 3.10362 + 9.55197i 0.230691 + 0.709993i 0.997664 + 0.0683137i \(0.0217619\pi\)
−0.766973 + 0.641679i \(0.778238\pi\)
\(182\) 10.3510 24.1978i 0.767268 1.79366i
\(183\) 4.24840 5.69325i 0.314050 0.420857i
\(184\) −8.42105 2.33201i −0.620808 0.171918i
\(185\) 8.89700 4.05518i 0.654120 0.298143i
\(186\) 8.11227 9.04429i 0.594820 0.663159i
\(187\) 4.51097 + 3.27741i 0.329875 + 0.239668i
\(188\) 19.3988 2.61620i 1.41480 0.190806i
\(189\) −8.45021 + 10.7411i −0.614663 + 0.781302i
\(190\) 22.3210 0.523497i 1.61933 0.0379785i
\(191\) −15.7612 11.4511i −1.14044 0.828576i −0.153257 0.988186i \(-0.548976\pi\)
−0.987180 + 0.159610i \(0.948976\pi\)
\(192\) 1.04171 + 13.8172i 0.0751789 + 0.997170i
\(193\) 3.72982i 0.268478i −0.990949 0.134239i \(-0.957141\pi\)
0.990949 0.134239i \(-0.0428590\pi\)
\(194\) 2.35984 + 0.213084i 0.169426 + 0.0152986i
\(195\) 20.4379 18.2558i 1.46359 1.30733i
\(196\) −0.148344 + 0.0713319i −0.0105960 + 0.00509514i
\(197\) −1.87126 + 5.75914i −0.133322 + 0.410322i −0.995325 0.0965806i \(-0.969209\pi\)
0.862004 + 0.506902i \(0.169209\pi\)
\(198\) 0.549328 4.73222i 0.0390390 0.336304i
\(199\) 4.07539i 0.288896i −0.989512 0.144448i \(-0.953859\pi\)
0.989512 0.144448i \(-0.0461407\pi\)
\(200\) 13.2489 + 4.94634i 0.936840 + 0.349759i
\(201\) 1.79719 + 2.54117i 0.126764 + 0.179240i
\(202\) 0.330568 + 1.45027i 0.0232587 + 0.102040i
\(203\) 0.633280 + 0.205765i 0.0444476 + 0.0144419i
\(204\) −15.0375 8.35263i −1.05284 0.584801i
\(205\) 7.38884 3.36777i 0.516059 0.235216i
\(206\) 0.647410 7.16985i 0.0451072 0.499547i
\(207\) −8.73849 3.08791i −0.607367 0.214624i
\(208\) −7.49770 27.2916i −0.519872 1.89234i
\(209\) −4.66001 + 6.41395i −0.322340 + 0.443662i
\(210\) 14.4051 0.154030i 0.994047 0.0106290i
\(211\) −5.14590 7.08272i −0.354258 0.487594i 0.594280 0.804258i \(-0.297437\pi\)
−0.948538 + 0.316664i \(0.897437\pi\)
\(212\) 0.307360 + 2.27904i 0.0211096 + 0.156525i
\(213\) 0.155421 12.1830i 0.0106493 0.834763i
\(214\) 3.54745 + 15.5633i 0.242498 + 1.06389i
\(215\) −14.4036 8.14815i −0.982320 0.555699i
\(216\) 0.0842649 + 14.6967i 0.00573350 + 0.999984i
\(217\) −12.4070 + 4.03128i −0.842242 + 0.273661i
\(218\) 18.9990 + 8.12713i 1.28678 + 0.550439i
\(219\) 3.20041 + 2.38820i 0.216263 + 0.161379i
\(220\) −4.25008 + 2.67475i −0.286540 + 0.180332i
\(221\) 33.4159 + 10.8575i 2.24780 + 0.730353i
\(222\) 1.09922 10.6542i 0.0737750 0.715066i
\(223\) −2.60197 + 1.89044i −0.174241 + 0.126593i −0.671488 0.741016i \(-0.734344\pi\)
0.497247 + 0.867609i \(0.334344\pi\)
\(224\) 6.47507 13.3955i 0.432634 0.895026i
\(225\) 13.6542 + 6.20981i 0.910283 + 0.413987i
\(226\) 0.543232 + 0.232376i 0.0361353 + 0.0154574i
\(227\) 6.51885 + 8.97243i 0.432671 + 0.595521i 0.968564 0.248765i \(-0.0800248\pi\)
−0.535893 + 0.844286i \(0.680025\pi\)
\(228\) 11.8762 21.3812i 0.786523 1.41600i
\(229\) −2.00759 + 6.17873i −0.132665 + 0.408302i −0.995220 0.0976628i \(-0.968863\pi\)
0.862554 + 0.505965i \(0.168863\pi\)
\(230\) 3.23592 + 9.21788i 0.213370 + 0.607809i
\(231\) −3.05928 + 4.09973i −0.201286 + 0.269742i
\(232\) 0.670627 0.251020i 0.0440288 0.0164803i
\(233\) −5.04864 15.5381i −0.330748 1.01794i −0.968779 0.247926i \(-0.920251\pi\)
0.638031 0.770010i \(-0.279749\pi\)
\(234\) −5.92262 29.4296i −0.387174 1.92388i
\(235\) −14.7861 16.1344i −0.964537 1.05249i
\(236\) −3.34342 0.608759i −0.217638 0.0396268i
\(237\) 9.77356 + 0.124684i 0.634861 + 0.00809908i
\(238\) 9.46874 + 15.8585i 0.613767 + 1.02796i
\(239\) 15.0252 10.9165i 0.971902 0.706128i 0.0160176 0.999872i \(-0.494901\pi\)
0.955884 + 0.293744i \(0.0949012\pi\)
\(240\) 12.0167 9.77748i 0.775674 0.631134i
\(241\) −8.82348 6.41063i −0.568370 0.412945i 0.266143 0.963934i \(-0.414251\pi\)
−0.834513 + 0.550988i \(0.814251\pi\)
\(242\) −1.23863 + 13.7174i −0.0796221 + 0.881788i
\(243\) −0.993601 + 15.5568i −0.0637396 + 0.997967i
\(244\) −3.89118 + 7.22090i −0.249107 + 0.462271i
\(245\) 0.160178 + 0.0906129i 0.0102334 + 0.00578905i
\(246\) 0.912891 8.84821i 0.0582038 0.564141i
\(247\) −15.4378 + 47.5126i −0.982282 + 3.02315i
\(248\) −7.73875 + 11.7014i −0.491411 + 0.743039i
\(249\) 12.9831 9.18202i 0.822768 0.581887i
\(250\) −3.91870 15.3181i −0.247841 0.968801i
\(251\) −14.4760 −0.913715 −0.456858 0.889540i \(-0.651025\pi\)
−0.456858 + 0.889540i \(0.651025\pi\)
\(252\) 7.83816 13.6967i 0.493758 0.862813i
\(253\) −3.29920 1.07197i −0.207419 0.0673944i
\(254\) 4.63638 5.30363i 0.290912 0.332779i
\(255\) 1.93423 + 19.1344i 0.121126 + 1.19824i
\(256\) −3.52386 15.6071i −0.220241 0.975445i
\(257\) −3.60686 −0.224989 −0.112495 0.993652i \(-0.535884\pi\)
−0.112495 + 0.993652i \(0.535884\pi\)
\(258\) −15.6821 + 9.09404i −0.976322 + 0.566170i
\(259\) −6.75999 + 9.30432i −0.420045 + 0.578142i
\(260\) −20.2621 + 24.3055i −1.25660 + 1.50736i
\(261\) 0.728083 0.216196i 0.0450672 0.0133822i
\(262\) −8.91284 14.9275i −0.550637 0.922224i
\(263\) −0.296395 + 0.407953i −0.0182765 + 0.0251555i −0.818057 0.575136i \(-0.804949\pi\)
0.799781 + 0.600292i \(0.204949\pi\)
\(264\) 0.171860 + 5.49831i 0.0105772 + 0.338398i
\(265\) 1.89553 1.73712i 0.116441 0.106710i
\(266\) −22.5485 + 13.4632i −1.38254 + 0.825481i
\(267\) −16.8095 12.5435i −1.02872 0.767651i
\(268\) −2.48214 2.59915i −0.151621 0.158768i
\(269\) 0.145643 0.0473224i 0.00888003 0.00288530i −0.304574 0.952489i \(-0.598514\pi\)
0.313454 + 0.949604i \(0.398514\pi\)
\(270\) 13.4352 9.46022i 0.817639 0.575731i
\(271\) 12.7960 + 4.15766i 0.777299 + 0.252560i 0.670686 0.741741i \(-0.266000\pi\)
0.106612 + 0.994301i \(0.466000\pi\)
\(272\) 18.5879 + 7.00096i 1.12706 + 0.424496i
\(273\) −10.3510 + 30.5266i −0.626473 + 1.84755i
\(274\) −14.5063 6.20530i −0.876357 0.374876i
\(275\) 5.16835 + 2.19317i 0.311663 + 0.132253i
\(276\) 10.5034 + 2.05118i 0.632230 + 0.123467i
\(277\) 16.9554 + 23.3371i 1.01875 + 1.40219i 0.913077 + 0.407787i \(0.133699\pi\)
0.105672 + 0.994401i \(0.466301\pi\)
\(278\) −10.7370 9.38620i −0.643965 0.562947i
\(279\) −9.05045 + 11.8111i −0.541836 + 0.707111i
\(280\) −16.4286 + 2.60919i −0.981799 + 0.155929i
\(281\) 0.565777 0.183832i 0.0337514 0.0109665i −0.292093 0.956390i \(-0.594352\pi\)
0.325844 + 0.945424i \(0.394352\pi\)
\(282\) −23.4402 + 5.02921i −1.39584 + 0.299485i
\(283\) −5.89041 18.1288i −0.350149 1.07765i −0.958769 0.284186i \(-0.908277\pi\)
0.608620 0.793461i \(-0.291723\pi\)
\(284\) 1.88035 + 13.9426i 0.111578 + 0.827340i
\(285\) −27.2064 + 2.75020i −1.61157 + 0.162908i
\(286\) −2.49709 10.9552i −0.147656 0.647797i
\(287\) −5.61408 + 7.72712i −0.331389 + 0.456117i
\(288\) −2.57875 16.7735i −0.151954 0.988388i
\(289\) −6.19527 + 4.50113i −0.364428 + 0.264772i
\(290\) −0.658544 0.455258i −0.0386710 0.0267337i
\(291\) −2.90172 0.0370180i −0.170102 0.00217003i
\(292\) −4.05916 2.18739i −0.237544 0.128007i
\(293\) −7.03851 −0.411194 −0.205597 0.978637i \(-0.565914\pi\)
−0.205597 + 0.978637i \(0.565914\pi\)
\(294\) 0.174395 0.101132i 0.0101709 0.00589813i
\(295\) 1.57582 + 3.45732i 0.0917477 + 0.201293i
\(296\) 0.544046 + 12.3558i 0.0316220 + 0.718166i
\(297\) −0.223237 + 5.83041i −0.0129535 + 0.338315i
\(298\) 0.336528 + 1.47641i 0.0194946 + 0.0855264i
\(299\) −21.8593 −1.26415
\(300\) −16.6459 4.78692i −0.961050 0.276373i
\(301\) 19.4651 1.12195
\(302\) 2.74985 + 12.0641i 0.158236 + 0.694214i
\(303\) −0.540809 1.73964i −0.0310686 0.0999397i
\(304\) −9.95436 + 26.4293i −0.570922 + 1.51583i
\(305\) 9.11178 1.03866i 0.521739 0.0594734i
\(306\) 19.1521 + 8.77715i 1.09485 + 0.501756i
\(307\) 23.4386 1.33771 0.668854 0.743393i \(-0.266785\pi\)
0.668854 + 0.743393i \(0.266785\pi\)
\(308\) 2.80205 5.19979i 0.159662 0.296286i
\(309\) −0.112471 + 8.81624i −0.00639825 + 0.501539i
\(310\) 15.6805 0.367757i 0.890593 0.0208872i
\(311\) 2.01775 1.46598i 0.114416 0.0831280i −0.529106 0.848556i \(-0.677473\pi\)
0.643522 + 0.765428i \(0.277473\pi\)
\(312\) 11.7364 + 32.6164i 0.664443 + 1.84654i
\(313\) −12.8727 + 17.7178i −0.727609 + 1.00147i 0.271627 + 0.962402i \(0.412438\pi\)
−0.999237 + 0.0390656i \(0.987562\pi\)
\(314\) −0.657436 2.88430i −0.0371013 0.162771i
\(315\) −17.5753 + 1.55042i −0.990258 + 0.0873562i
\(316\) −11.1852 + 1.50848i −0.629216 + 0.0848587i
\(317\) −1.52336 4.68843i −0.0855606 0.263328i 0.899118 0.437706i \(-0.144209\pi\)
−0.984679 + 0.174377i \(0.944209\pi\)
\(318\) −0.590849 2.75384i −0.0331332 0.154428i
\(319\) 0.270365 0.0878470i 0.0151375 0.00491849i
\(320\) −12.0748 + 13.1984i −0.675004 + 0.737814i
\(321\) −5.80361 18.6687i −0.323926 1.04199i
\(322\) −8.65142 7.56298i −0.482125 0.421468i
\(323\) −20.6076 28.3640i −1.14664 1.57821i
\(324\) −1.49281 17.9380i −0.0829336 0.996555i
\(325\) 35.2442 + 3.07960i 1.95500 + 0.170826i
\(326\) 12.9263 + 5.52941i 0.715919 + 0.306246i
\(327\) −23.9681 8.12715i −1.32544 0.449433i
\(328\) 0.451823 + 10.2613i 0.0249477 + 0.566587i
\(329\) 24.4819 + 7.95466i 1.34973 + 0.438555i
\(330\) 4.93676 3.66805i 0.271760 0.201919i
\(331\) −6.52289 + 2.11942i −0.358530 + 0.116494i −0.482743 0.875762i \(-0.660360\pi\)
0.124213 + 0.992256i \(0.460360\pi\)
\(332\) −13.2793 + 12.6815i −0.728796 + 0.695986i
\(333\) −0.334645 + 13.1137i −0.0183384 + 0.718628i
\(334\) 25.4827 15.2151i 1.39435 0.832534i
\(335\) −0.800881 + 3.93755i −0.0437568 + 0.215131i
\(336\) −6.63978 + 16.9695i −0.362229 + 0.925760i
\(337\) −16.5443 + 22.7713i −0.901225 + 1.24043i 0.0688506 + 0.997627i \(0.478067\pi\)
−0.970076 + 0.242803i \(0.921933\pi\)
\(338\) −26.8723 45.0066i −1.46166 2.44804i
\(339\) −0.685311 0.232377i −0.0372210 0.0126210i
\(340\) −5.44152 21.5301i −0.295108 1.16763i
\(341\) −3.27366 + 4.50581i −0.177279 + 0.244003i
\(342\) −12.4798 + 27.2315i −0.674833 + 1.47251i
\(343\) −18.6275 −1.00579
\(344\) 16.3772 13.0369i 0.882997 0.702901i
\(345\) −4.82310 10.9498i −0.259667 0.589518i
\(346\) −9.02166 + 10.3200i −0.485007 + 0.554808i
\(347\) −34.9390 11.3524i −1.87562 0.609426i −0.989205 0.146538i \(-0.953187\pi\)
−0.886417 0.462888i \(-0.846813\pi\)
\(348\) −0.795155 + 0.369941i −0.0426248 + 0.0198309i
\(349\) 2.33175 0.124816 0.0624078 0.998051i \(-0.480122\pi\)
0.0624078 + 0.998051i \(0.480122\pi\)
\(350\) 12.8834 + 13.4128i 0.688646 + 0.716944i
\(351\) 10.0153 + 35.3761i 0.534577 + 1.88823i
\(352\) −1.12506 6.25157i −0.0599659 0.333210i
\(353\) 7.50581 23.1005i 0.399494 1.22952i −0.525912 0.850539i \(-0.676276\pi\)
0.925406 0.378977i \(-0.123724\pi\)
\(354\) 4.14018 + 0.427152i 0.220048 + 0.0227029i
\(355\) 11.5964 10.6273i 0.615471 0.564037i
\(356\) 21.3199 + 11.4888i 1.12995 + 0.608906i
\(357\) −13.0620 18.4692i −0.691312 0.977492i
\(358\) −0.616021 + 6.82222i −0.0325577 + 0.360566i
\(359\) 19.4805 + 14.1534i 1.02814 + 0.746988i 0.967936 0.251198i \(-0.0808247\pi\)
0.0602046 + 0.998186i \(0.480825\pi\)
\(360\) −13.7488 + 13.0756i −0.724623 + 0.689146i
\(361\) 24.9581 18.1332i 1.31359 0.954377i
\(362\) 7.28151 + 12.1953i 0.382708 + 0.640970i
\(363\) 0.215180 16.8673i 0.0112940 0.885303i
\(364\) 6.66735 36.6183i 0.349464 1.91932i
\(365\) 0.583872 + 5.12210i 0.0305613 + 0.268103i
\(366\) 4.06857 9.18535i 0.212667 0.480126i
\(367\) −7.51175 23.1188i −0.392110 1.20679i −0.931189 0.364536i \(-0.881228\pi\)
0.539079 0.842255i \(-0.318772\pi\)
\(368\) −12.3443 0.568841i −0.643490 0.0296529i
\(369\) −0.277918 + 10.8908i −0.0144678 + 0.566951i
\(370\) 10.9931 8.38771i 0.571504 0.436056i
\(371\) −0.934542 + 2.87622i −0.0485190 + 0.149326i
\(372\) 8.34307 15.0203i 0.432568 0.778766i
\(373\) −12.8117 17.6338i −0.663363 0.913041i 0.336223 0.941782i \(-0.390850\pi\)
−0.999587 + 0.0287408i \(0.990850\pi\)
\(374\) 7.25000 + 3.10131i 0.374889 + 0.160365i
\(375\) 6.23376 + 18.3341i 0.321910 + 0.946770i
\(376\) 25.9257 9.70417i 1.33702 0.500454i
\(377\) 1.44923 1.05292i 0.0746389 0.0542284i
\(378\) −8.27574 + 17.4662i −0.425658 + 0.898364i
\(379\) 12.7016 + 4.12699i 0.652435 + 0.211989i 0.616488 0.787365i \(-0.288555\pi\)
0.0359475 + 0.999354i \(0.488555\pi\)
\(380\) 30.6127 7.73706i 1.57040 0.396903i
\(381\) −5.15984 + 6.91468i −0.264347 + 0.354250i
\(382\) −25.3312 10.8358i −1.29606 0.554410i
\(383\) 2.52358 0.819961i 0.128949 0.0418981i −0.243832 0.969818i \(-0.578404\pi\)
0.372781 + 0.927920i \(0.378404\pi\)
\(384\) 5.77895 + 18.7244i 0.294906 + 0.955526i
\(385\) −6.56142 + 0.747942i −0.334401 + 0.0381186i
\(386\) −1.17224 5.14286i −0.0596656 0.261765i
\(387\) 18.2891 12.5877i 0.929688 0.639870i
\(388\) 3.32083 0.447860i 0.168589 0.0227367i
\(389\) −7.01879 9.66053i −0.355867 0.489808i 0.593125 0.805111i \(-0.297894\pi\)
−0.948991 + 0.315302i \(0.897894\pi\)
\(390\) 22.4432 31.5954i 1.13646 1.59990i
\(391\) 9.01700 12.4108i 0.456009 0.627643i
\(392\) −0.182125 + 0.144979i −0.00919870 + 0.00732253i
\(393\) 12.2951 + 17.3849i 0.620206 + 0.876951i
\(394\) −0.770145 + 8.52909i −0.0387993 + 0.429689i
\(395\) 8.52554 + 9.30298i 0.428966 + 0.468084i
\(396\) −0.729847 6.69767i −0.0366762 0.336570i
\(397\) −0.770649 0.250399i −0.0386778 0.0125672i 0.289614 0.957143i \(-0.406473\pi\)
−0.328292 + 0.944576i \(0.606473\pi\)
\(398\) −1.28085 5.61934i −0.0642032 0.281672i
\(399\) 26.2605 18.5722i 1.31467 0.929774i
\(400\) 19.8228 + 2.65625i 0.991141 + 0.132813i
\(401\) 19.9527i 0.996388i −0.867065 0.498194i \(-0.833997\pi\)
0.867065 0.498194i \(-0.166003\pi\)
\(402\) 3.27672 + 2.93905i 0.163428 + 0.146586i
\(403\) −10.8450 + 33.3776i −0.540230 + 1.66266i
\(404\) 0.911606 + 1.89580i 0.0453541 + 0.0943197i
\(405\) −15.5109 + 12.8224i −0.770741 + 0.637149i
\(406\) 0.937867 + 0.0846859i 0.0465456 + 0.00420289i
\(407\) 4.91000i 0.243380i
\(408\) −23.3596 6.79088i −1.15647 0.336199i
\(409\) −17.5507 12.7514i −0.867829 0.630514i 0.0621747 0.998065i \(-0.480196\pi\)
−0.930003 + 0.367551i \(0.880196\pi\)
\(410\) 9.12963 6.96588i 0.450880 0.344020i
\(411\) 18.3003 + 6.20531i 0.902687 + 0.306085i
\(412\) −1.36073 10.0896i −0.0670381 0.497079i
\(413\) −3.61560 2.62689i −0.177912 0.129261i
\(414\) −13.0195 1.51134i −0.639876 0.0742783i
\(415\) 20.1173 + 4.09177i 0.987520 + 0.200857i
\(416\) −18.9157 35.2746i −0.927416 1.72948i
\(417\) 13.9986 + 10.4459i 0.685512 + 0.511540i
\(418\) −4.40961 + 10.3085i −0.215681 + 0.504203i
\(419\) −4.46197 13.7325i −0.217981 0.670877i −0.998928 0.0462804i \(-0.985263\pi\)
0.780947 0.624597i \(-0.214737\pi\)
\(420\) 19.8141 4.73975i 0.966827 0.231276i
\(421\) −0.913465 + 2.81136i −0.0445195 + 0.137017i −0.970846 0.239706i \(-0.922949\pi\)
0.926326 + 0.376723i \(0.122949\pi\)
\(422\) −9.32143 8.14869i −0.453760 0.396672i
\(423\) 28.1469 8.35792i 1.36855 0.406376i
\(424\) 1.14008 + 3.04585i 0.0553672 + 0.147919i
\(425\) −16.2868 + 18.7399i −0.790025 + 0.909020i
\(426\) −3.61467 16.8473i −0.175131 0.816254i
\(427\) −8.72690 + 6.34046i −0.422324 + 0.306837i
\(428\) 9.78278 + 20.3446i 0.472868 + 0.983391i
\(429\) 4.08524 + 13.1411i 0.197237 + 0.634461i
\(430\) −22.4213 6.70815i −1.08125 0.323496i
\(431\) 1.95432 + 6.01477i 0.0941362 + 0.289721i 0.987028 0.160551i \(-0.0513270\pi\)
−0.892891 + 0.450272i \(0.851327\pi\)
\(432\) 4.73520 + 20.2380i 0.227822 + 0.973703i
\(433\) 12.8774 4.18412i 0.618849 0.201076i 0.0172196 0.999852i \(-0.494519\pi\)
0.601629 + 0.798776i \(0.294519\pi\)
\(434\) −15.8404 + 9.45790i −0.760362 + 0.453994i
\(435\) 0.847196 + 0.493630i 0.0406199 + 0.0236677i
\(436\) 28.7510 + 5.23490i 1.37692 + 0.250706i
\(437\) 17.6464 + 12.8209i 0.844142 + 0.613305i
\(438\) 5.16346 + 2.28711i 0.246720 + 0.109282i
\(439\) 8.27611 + 11.3911i 0.394997 + 0.543667i 0.959480 0.281778i \(-0.0909242\pi\)
−0.564482 + 0.825445i \(0.690924\pi\)
\(440\) −5.01957 + 5.02383i −0.239298 + 0.239502i
\(441\) −0.203387 + 0.139984i −0.00968511 + 0.00666590i
\(442\) 49.4878 + 4.46856i 2.35390 + 0.212548i
\(443\) 17.7380i 0.842758i 0.906885 + 0.421379i \(0.138454\pi\)
−0.906885 + 0.421379i \(0.861546\pi\)
\(444\) −1.83285 15.0361i −0.0869833 0.713580i
\(445\) −3.06667 26.9028i −0.145374 1.27532i
\(446\) −2.99358 + 3.42441i −0.141750 + 0.162150i
\(447\) −0.550559 1.77101i −0.0260406 0.0837657i
\(448\) 4.71807 20.5054i 0.222908 0.968790i
\(449\) 28.2843i 1.33482i −0.744691 0.667410i \(-0.767403\pi\)
0.744691 0.667410i \(-0.232597\pi\)
\(450\) 20.7788 + 4.27100i 0.979522 + 0.201337i
\(451\) 4.07769i 0.192011i
\(452\) 0.822068 + 0.149680i 0.0386668 + 0.00704034i
\(453\) −4.49876 14.4713i −0.211370 0.679922i
\(454\) 11.8084 + 10.3228i 0.554198 + 0.484473i
\(455\) −37.8658 + 17.2589i −1.77518 + 0.809112i
\(456\) 9.65565 33.2140i 0.452167 1.55539i
\(457\) 5.94526i 0.278107i −0.990285 0.139054i \(-0.955594\pi\)
0.990285 0.139054i \(-0.0444061\pi\)
\(458\) −0.826255 + 9.15049i −0.0386084 + 0.427574i
\(459\) −24.2164 8.90641i −1.13033 0.415715i
\(460\) 7.35892 + 11.6930i 0.343111 + 0.545191i
\(461\) −17.8555 24.5760i −0.831615 1.14462i −0.987620 0.156863i \(-0.949862\pi\)
0.156005 0.987756i \(-0.450138\pi\)
\(462\) −2.92979 + 6.61440i −0.136306 + 0.307730i
\(463\) 9.77952 + 7.10524i 0.454493 + 0.330209i 0.791367 0.611341i \(-0.209370\pi\)
−0.336874 + 0.941550i \(0.609370\pi\)
\(464\) 0.845800 0.556890i 0.0392653 0.0258530i
\(465\) −19.1125 + 1.93202i −0.886321 + 0.0895951i
\(466\) −11.8448 19.8380i −0.548699 0.918977i
\(467\) 19.8940 6.46396i 0.920585 0.299116i 0.189879 0.981808i \(-0.439191\pi\)
0.730707 + 0.682691i \(0.239191\pi\)
\(468\) −17.4158 38.7176i −0.805046 1.78972i
\(469\) −1.46052 4.49501i −0.0674405 0.207560i
\(470\) −25.4586 17.5998i −1.17432 0.811818i
\(471\) 1.07556 + 3.45981i 0.0495594 + 0.159420i
\(472\) −4.80139 + 0.211413i −0.221002 + 0.00973107i
\(473\) 6.72311 4.88462i 0.309129 0.224595i
\(474\) 13.5154 2.89981i 0.620785 0.133192i
\(475\) −26.6455 23.1575i −1.22258 1.06254i
\(476\) 18.0401 + 18.8906i 0.826868 + 0.865848i
\(477\) 0.981918 + 3.30680i 0.0449589 + 0.151408i
\(478\) 17.2866 19.7744i 0.790670 0.904461i
\(479\) 11.0543 34.0217i 0.505084 1.55449i −0.295545 0.955329i \(-0.595501\pi\)
0.800629 0.599160i \(-0.204499\pi\)
\(480\) 13.4962 17.2584i 0.616016 0.787734i
\(481\) 9.56089 + 29.4254i 0.435939 + 1.34168i
\(482\) −14.1810 6.06617i −0.645928 0.276306i
\(483\) 11.2794 + 8.41687i 0.513230 + 0.382981i
\(484\) 2.60335 + 19.3035i 0.118334 + 0.877432i
\(485\) −2.53119 2.76201i −0.114935 0.125416i
\(486\) 3.51930 + 21.7627i 0.159639 + 0.987176i
\(487\) −33.7319 24.5077i −1.52854 1.11055i −0.957044 0.289943i \(-0.906364\pi\)
−0.571495 0.820606i \(-0.693636\pi\)
\(488\) −3.09589 + 11.1795i −0.140144 + 0.506071i
\(489\) −16.3070 5.52943i −0.737429 0.250049i
\(490\) 0.249340 + 0.0745992i 0.0112640 + 0.00337005i
\(491\) 26.9448 + 19.5765i 1.21600 + 0.883476i 0.995762 0.0919695i \(-0.0293162\pi\)
0.220239 + 0.975446i \(0.429316\pi\)
\(492\) −1.52216 12.4873i −0.0686243 0.562969i
\(493\) 1.25715i 0.0566190i
\(494\) −6.35365 + 70.3645i −0.285864 + 3.16585i
\(495\) −5.68132 + 4.94589i −0.255356 + 0.222301i
\(496\) −6.99295 + 18.5666i −0.313993 + 0.833667i
\(497\) −5.71730 + 17.5960i −0.256456 + 0.789290i
\(498\) 15.0159 16.7410i 0.672877 0.750184i
\(499\) 2.95347i 0.132215i 0.997812 + 0.0661077i \(0.0210581\pi\)
−0.997812 + 0.0661077i \(0.978942\pi\)
\(500\) −10.2176 19.8897i −0.456945 0.889495i
\(501\) −29.6777 + 20.9890i −1.32590 + 0.937718i
\(502\) −19.9602 + 4.54964i −0.890866 + 0.203060i
\(503\) 40.1948 + 13.0601i 1.79220 + 0.582320i 0.999623 0.0274568i \(-0.00874085\pi\)
0.792573 + 0.609777i \(0.208741\pi\)
\(504\) 6.50290 21.3492i 0.289662 0.950967i
\(505\) 1.15801 2.04704i 0.0515309 0.0910921i
\(506\) −4.88600 0.441187i −0.217209 0.0196132i
\(507\) 37.0699 + 52.4156i 1.64633 + 2.32786i
\(508\) 4.72598 8.77006i 0.209682 0.389109i
\(509\) 20.6474 28.4187i 0.915179 1.25964i −0.0501873 0.998740i \(-0.515982\pi\)
0.965367 0.260897i \(-0.0840182\pi\)
\(510\) 8.68075 + 25.7755i 0.384390 + 1.14136i
\(511\) −3.56423 4.90574i −0.157672 0.217017i
\(512\) −9.76402 20.4123i −0.431513 0.902107i
\(513\) 12.6636 34.4323i 0.559113 1.52022i
\(514\) −4.97331 + 1.13360i −0.219363 + 0.0500008i
\(515\) −8.39175 + 7.69046i −0.369785 + 0.338882i
\(516\) −18.7650 + 17.4680i −0.826083 + 0.768986i
\(517\) 10.4520 3.39607i 0.459680 0.149359i
\(518\) −6.39675 + 14.9538i −0.281057 + 0.657034i
\(519\) 10.0402 13.4549i 0.440718 0.590603i
\(520\) −20.2995 + 39.8818i −0.890190 + 1.74893i
\(521\) 23.1218 + 7.51272i 1.01298 + 0.329138i 0.768042 0.640400i \(-0.221231\pi\)
0.244942 + 0.969538i \(0.421231\pi\)
\(522\) 0.935968 0.526931i 0.0409662 0.0230631i
\(523\) −17.9226 + 13.0215i −0.783700 + 0.569391i −0.906087 0.423091i \(-0.860945\pi\)
0.122387 + 0.992482i \(0.460945\pi\)
\(524\) −16.9810 17.7815i −0.741819 0.776790i
\(525\) −17.0002 15.1598i −0.741951 0.661627i
\(526\) −0.280469 + 0.655659i −0.0122290 + 0.0285881i
\(527\) −14.4769 19.9257i −0.630623 0.867978i
\(528\) 1.96503 + 7.52732i 0.0855168 + 0.327585i
\(529\) 4.15812 12.7974i 0.180788 0.556408i
\(530\) 2.06768 2.99097i 0.0898145 0.129919i
\(531\) −5.09592 0.130041i −0.221144 0.00564330i
\(532\) −26.8597 + 25.6505i −1.16451 + 1.11209i
\(533\) 7.94020 + 24.4374i 0.343928 + 1.05850i
\(534\) −27.1200 12.0126i −1.17360 0.519835i
\(535\) 12.4271 21.9675i 0.537269 0.949740i
\(536\) −4.23937 2.80372i −0.183113 0.121102i
\(537\) 0.107018 8.38880i 0.00461817 0.362003i
\(538\) 0.185947 0.111024i 0.00801675 0.00478661i
\(539\) −0.0747655 + 0.0543203i −0.00322038 + 0.00233974i
\(540\) 15.5518 17.2667i 0.669244 0.743042i
\(541\) 18.3219 + 13.3117i 0.787721 + 0.572313i 0.907286 0.420514i \(-0.138150\pi\)
−0.119565 + 0.992826i \(0.538150\pi\)
\(542\) 18.9504 + 1.71115i 0.813988 + 0.0735001i
\(543\) −10.0447 14.2029i −0.431060 0.609504i
\(544\) 27.8303 + 3.81128i 1.19321 + 0.163407i
\(545\) −13.5509 29.7305i −0.580458 1.27352i
\(546\) −4.67832 + 45.3447i −0.200214 + 1.94058i
\(547\) 8.57610 26.3945i 0.366688 1.12855i −0.582230 0.813024i \(-0.697820\pi\)
0.948917 0.315524i \(-0.102180\pi\)
\(548\) −21.9522 3.99699i −0.937752 0.170743i
\(549\) −4.09939 + 11.6009i −0.174958 + 0.495114i
\(550\) 7.81566 + 1.39969i 0.333261 + 0.0596830i
\(551\) −1.78748 −0.0761492
\(552\) 15.1272 0.472830i 0.643858 0.0201250i
\(553\) −14.1161 4.58660i −0.600278 0.195042i
\(554\) 30.7135 + 26.8494i 1.30489 + 1.14072i
\(555\) −12.6303 + 11.2818i −0.536126 + 0.478885i
\(556\) −17.7547 9.56761i −0.752968 0.405757i
\(557\) 19.3275 0.818933 0.409467 0.912325i \(-0.365715\pi\)
0.409467 + 0.912325i \(0.365715\pi\)
\(558\) −8.76710 + 19.1301i −0.371141 + 0.809843i
\(559\) 30.7798 42.3647i 1.30185 1.79184i
\(560\) −21.8326 + 8.76102i −0.922594 + 0.370221i
\(561\) −9.14619 3.10131i −0.386152 0.130938i
\(562\) 0.722344 0.431294i 0.0304703 0.0181930i
\(563\) −7.76254 + 10.6842i −0.327152 + 0.450286i −0.940634 0.339423i \(-0.889768\pi\)
0.613482 + 0.789709i \(0.289768\pi\)
\(564\) −30.7399 + 14.3015i −1.29438 + 0.602203i
\(565\) −0.387457 0.850075i −0.0163004 0.0357629i
\(566\) −13.8197 23.1456i −0.580885 0.972883i
\(567\) 8.45358 22.1104i 0.355017 0.928550i
\(568\) 6.97473 + 18.6337i 0.292653 + 0.781854i
\(569\) −27.7963 + 9.03155i −1.16528 + 0.378622i −0.826879 0.562380i \(-0.809886\pi\)
−0.338401 + 0.941002i \(0.609886\pi\)
\(570\) −36.6491 + 12.3428i −1.53506 + 0.516982i
\(571\) 6.44362 + 2.09366i 0.269657 + 0.0876169i 0.440724 0.897642i \(-0.354722\pi\)
−0.171067 + 0.985259i \(0.554722\pi\)
\(572\) −6.88622 14.3208i −0.287927 0.598783i
\(573\) 31.9564 + 10.8359i 1.33500 + 0.452675i
\(574\) −5.31241 + 12.4190i −0.221736 + 0.518358i
\(575\) 6.03396 14.2194i 0.251634 0.592992i
\(576\) −8.82743 22.3176i −0.367810 0.929901i
\(577\) −13.7634 18.9437i −0.572977 0.788636i 0.419926 0.907558i \(-0.362056\pi\)
−0.992904 + 0.118923i \(0.962056\pi\)
\(578\) −7.12768 + 8.15348i −0.296472 + 0.339140i
\(579\) 1.91779 + 6.16902i 0.0797005 + 0.256376i
\(580\) −1.05112 0.420758i −0.0436452 0.0174710i
\(581\) −22.9654 + 7.46192i −0.952767 + 0.309573i
\(582\) −4.01267 + 0.860937i −0.166330 + 0.0356870i
\(583\) 0.398982 + 1.22794i 0.0165242 + 0.0508561i
\(584\) −6.28444 1.74033i −0.260052 0.0720152i
\(585\) −24.4171 + 40.7033i −1.00952 + 1.68287i
\(586\) −9.70503 + 2.21213i −0.400911 + 0.0913821i
\(587\) 13.5473 18.6462i 0.559156 0.769612i −0.432063 0.901843i \(-0.642214\pi\)
0.991219 + 0.132231i \(0.0422142\pi\)
\(588\) 0.208680 0.194256i 0.00860580 0.00801098i
\(589\) 28.3315 20.5840i 1.16738 0.848151i
\(590\) 3.25941 + 4.27186i 0.134188 + 0.175870i
\(591\) 0.133793 10.4876i 0.00550351 0.431402i
\(592\) 4.63345 + 16.8658i 0.190434 + 0.693179i
\(593\) 35.4686 1.45652 0.728261 0.685300i \(-0.240329\pi\)
0.728261 + 0.685300i \(0.240329\pi\)
\(594\) 1.52463 + 8.10942i 0.0625562 + 0.332733i
\(595\) 5.82079 28.6181i 0.238629 1.17323i
\(596\) 0.928042 + 1.92998i 0.0380141 + 0.0790552i
\(597\) 2.09547 + 6.74057i 0.0857618 + 0.275873i
\(598\) −30.1406 + 6.87014i −1.23254 + 0.280941i
\(599\) −15.4349 −0.630652 −0.315326 0.948983i \(-0.602114\pi\)
−0.315326 + 0.948983i \(0.602114\pi\)
\(600\) −24.4566 1.36882i −0.998437 0.0558817i
\(601\) 15.2326 0.621350 0.310675 0.950516i \(-0.399445\pi\)
0.310675 + 0.950516i \(0.399445\pi\)
\(602\) 26.8395 6.11769i 1.09390 0.249338i
\(603\) −4.27911 3.27895i −0.174259 0.133529i
\(604\) 7.58326 + 15.7704i 0.308559 + 0.641688i
\(605\) 16.0551 14.7134i 0.652735 0.598186i
\(606\) −1.29244 2.22873i −0.0525019 0.0905360i
\(607\) 34.7595 1.41085 0.705423 0.708787i \(-0.250757\pi\)
0.705423 + 0.708787i \(0.250757\pi\)
\(608\) −5.41909 + 39.5706i −0.219773 + 1.60480i
\(609\) −1.15323 0.0147120i −0.0467311 0.000596161i
\(610\) 12.2373 4.29589i 0.495475 0.173935i
\(611\) 56.0255 40.7049i 2.26655 1.64675i
\(612\) 29.1664 + 6.08307i 1.17898 + 0.245894i
\(613\) −13.5100 + 18.5950i −0.545665 + 0.751043i −0.989416 0.145107i \(-0.953647\pi\)
0.443751 + 0.896150i \(0.353647\pi\)
\(614\) 32.3182 7.36648i 1.30426 0.297287i
\(615\) −10.4893 + 9.36937i −0.422969 + 0.377810i
\(616\) 2.22936 8.05038i 0.0898235 0.324359i
\(617\) −4.54521 13.9887i −0.182983 0.563164i 0.816925 0.576745i \(-0.195677\pi\)
−0.999908 + 0.0135801i \(0.995677\pi\)
\(618\) 2.61577 + 12.1916i 0.105222 + 0.490419i
\(619\) −31.5383 + 10.2474i −1.26763 + 0.411879i −0.864208 0.503134i \(-0.832180\pi\)
−0.403424 + 0.915013i \(0.632180\pi\)
\(620\) 21.5055 5.43529i 0.863680 0.218287i
\(621\) 16.0409 + 0.614182i 0.643701 + 0.0246463i
\(622\) 2.32143 2.65552i 0.0930807 0.106477i
\(623\) 18.7204 + 25.7664i 0.750018 + 1.03231i
\(624\) 26.4337 + 41.2845i 1.05820 + 1.65270i
\(625\) −11.7320 + 22.0762i −0.469279 + 0.883050i
\(626\) −12.1810 + 28.4759i −0.486851 + 1.13813i
\(627\) 4.40962 13.0046i 0.176103 0.519352i
\(628\) −1.81301 3.77039i −0.0723469 0.150455i
\(629\) −20.6504 6.70974i −0.823387 0.267535i
\(630\) −23.7464 + 7.66153i −0.946081 + 0.305243i
\(631\) −20.3437 + 6.61008i −0.809871 + 0.263143i −0.684543 0.728972i \(-0.739998\pi\)
−0.125328 + 0.992115i \(0.539998\pi\)
\(632\) −14.9486 + 5.59535i −0.594623 + 0.222571i
\(633\) 12.1529 + 9.06872i 0.483036 + 0.360449i
\(634\) −3.57401 5.98586i −0.141942 0.237729i
\(635\) −11.0666 + 1.26149i −0.439165 + 0.0500608i
\(636\) −1.68019 3.61143i −0.0666240 0.143202i
\(637\) −0.342292 + 0.471124i −0.0135621 + 0.0186666i
\(638\) 0.345183 0.206100i 0.0136659 0.00815960i
\(639\) 6.00713 + 20.2302i 0.237638 + 0.800294i
\(640\) −12.5013 + 21.9936i −0.494156 + 0.869373i
\(641\) −20.8420 + 28.6865i −0.823208 + 1.13305i 0.165942 + 0.986136i \(0.446934\pi\)
−0.989149 + 0.146913i \(0.953066\pi\)
\(642\) −13.8697 23.9173i −0.547393 0.943941i
\(643\) −1.63973 −0.0646648 −0.0323324 0.999477i \(-0.510294\pi\)
−0.0323324 + 0.999477i \(0.510294\pi\)
\(644\) −14.3060 7.70915i −0.563734 0.303783i
\(645\) 28.0128 + 6.07080i 1.10300 + 0.239037i
\(646\) −37.3293 32.6329i −1.46870 1.28392i
\(647\) −41.1106 13.3577i −1.61623 0.525144i −0.645178 0.764032i \(-0.723217\pi\)
−0.971047 + 0.238888i \(0.923217\pi\)
\(648\) −7.69607 24.2646i −0.302330 0.953203i
\(649\) −1.90800 −0.0748955
\(650\) 49.5643 6.83058i 1.94407 0.267917i
\(651\) 18.4480 13.0470i 0.723035 0.511352i
\(652\) 19.5612 + 3.56164i 0.766075 + 0.139485i
\(653\) −4.92751 + 15.1653i −0.192828 + 0.593464i 0.807167 + 0.590323i \(0.201000\pi\)
−0.999995 + 0.00314086i \(0.999000\pi\)
\(654\) −35.6026 3.67320i −1.39217 0.143634i
\(655\) −5.47906 + 26.9379i −0.214084 + 1.05255i
\(656\) 3.84802 + 14.0068i 0.150240 + 0.546874i
\(657\) −6.52134 2.30443i −0.254422 0.0899045i
\(658\) 36.2569 + 3.27386i 1.41344 + 0.127629i
\(659\) −1.82519 1.32608i −0.0710992 0.0516566i 0.551668 0.834064i \(-0.313992\pi\)
−0.622767 + 0.782407i \(0.713992\pi\)
\(660\) 5.65421 6.60925i 0.220090 0.257265i
\(661\) −33.6669 + 24.4604i −1.30949 + 0.951400i −0.309489 + 0.950903i \(0.600158\pi\)
−1.00000 0.000496742i \(0.999842\pi\)
\(662\) −8.32797 + 4.97243i −0.323676 + 0.193259i
\(663\) −60.8516 0.776299i −2.36328 0.0301490i
\(664\) −14.3245 + 21.6593i −0.555898 + 0.840546i
\(665\) 40.6908 + 8.27632i 1.57792 + 0.320942i
\(666\) 3.66008 + 18.1870i 0.141825 + 0.704732i
\(667\) −0.241689 0.743843i −0.00935825 0.0288017i
\(668\) 30.3549 28.9883i 1.17446 1.12159i
\(669\) 3.33157 4.46461i 0.128806 0.172612i
\(670\) 0.133237 + 5.68099i 0.00514740 + 0.219476i
\(671\) −1.42311 + 4.37989i −0.0549387 + 0.169084i
\(672\) −3.82192 + 25.4851i −0.147434 + 0.983110i
\(673\) −24.8246 34.1682i −0.956920 1.31709i −0.948384 0.317124i \(-0.897283\pi\)
−0.00853574 0.999964i \(-0.502717\pi\)
\(674\) −15.6553 + 36.5978i −0.603020 + 1.40969i
\(675\) −25.7767 3.25016i −0.992144 0.125099i
\(676\) −51.1980 53.6116i −1.96915 2.06198i
\(677\) −35.8387 + 26.0384i −1.37739 + 1.00074i −0.380276 + 0.924873i \(0.624171\pi\)
−0.997118 + 0.0758625i \(0.975829\pi\)
\(678\) −1.01797 0.105027i −0.0390950 0.00403352i
\(679\) 4.19100 + 1.36174i 0.160836 + 0.0522587i
\(680\) −14.2697 27.9765i −0.547219 1.07285i
\(681\) −15.3954 11.4883i −0.589953 0.440233i
\(682\) −3.09775 + 7.24170i −0.118619 + 0.277299i
\(683\) −36.2387 + 11.7747i −1.38663 + 0.450545i −0.904844 0.425742i \(-0.860013\pi\)
−0.481789 + 0.876287i \(0.660013\pi\)
\(684\) −8.64925 + 41.4703i −0.330712 + 1.58566i
\(685\) 10.3465 + 22.7001i 0.395320 + 0.867326i
\(686\) −25.6845 + 5.85443i −0.980640 + 0.223523i
\(687\) 0.143541 11.2517i 0.00547642 0.429279i
\(688\) 18.4843 23.1230i 0.704706 0.881557i
\(689\) 4.78216 + 6.58207i 0.182186 + 0.250757i
\(690\) −10.0917 13.5823i −0.384186 0.517068i
\(691\) 20.6338 28.4000i 0.784948 1.08039i −0.209771 0.977751i \(-0.567272\pi\)
0.994719 0.102637i \(-0.0327281\pi\)
\(692\) −9.19602 + 17.0652i −0.349580 + 0.648720i
\(693\) 2.95199 8.35385i 0.112137 0.317336i
\(694\) −51.7434 4.67224i −1.96415 0.177356i
\(695\) 2.55385 + 22.4040i 0.0968731 + 0.849833i
\(696\) −0.980130 + 0.760001i −0.0371517 + 0.0288078i
\(697\) −17.1499 5.57235i −0.649600 0.211068i
\(698\) 3.21513 0.732844i 0.121694 0.0277385i
\(699\) 16.3397 + 23.1037i 0.618023 + 0.873863i
\(700\) 21.9797 + 14.4451i 0.830756 + 0.545974i
\(701\) 24.1415i 0.911812i −0.890028 0.455906i \(-0.849315\pi\)
0.890028 0.455906i \(-0.150685\pi\)
\(702\) 24.9279 + 45.6305i 0.940842 + 1.72221i
\(703\) 9.54028 29.3620i 0.359818 1.10741i
\(704\) −3.51609 8.26637i −0.132518 0.311551i
\(705\) 32.7517 + 19.0832i 1.23350 + 0.718715i
\(706\) 3.08913 34.2111i 0.116261 1.28755i
\(707\) 2.76638i 0.104041i
\(708\) 5.84292 0.712235i 0.219591 0.0267674i
\(709\) −12.4837 9.06991i −0.468834 0.340628i 0.328153 0.944625i \(-0.393574\pi\)
−0.796987 + 0.603997i \(0.793574\pi\)
\(710\) 12.6496 18.2980i 0.474730 0.686712i
\(711\) −16.2293 + 4.81911i −0.608647 + 0.180731i
\(712\) 33.0078 + 9.14071i 1.23702 + 0.342563i
\(713\) 12.3966 + 9.00667i 0.464257 + 0.337303i
\(714\) −23.8151 21.3610i −0.891258 0.799414i
\(715\) −8.74757 + 15.4632i −0.327140 + 0.578292i
\(716\) 1.29475 + 9.60042i 0.0483871 + 0.358785i
\(717\) −19.2383 + 25.7812i −0.718468 + 0.962815i
\(718\) 31.3089 + 13.3929i 1.16844 + 0.499818i
\(719\) 0.511996 + 1.57576i 0.0190942 + 0.0587659i 0.960150 0.279487i \(-0.0901642\pi\)
−0.941055 + 0.338252i \(0.890164\pi\)
\(720\) −14.8479 + 22.3504i −0.553349 + 0.832949i
\(721\) 4.13734 12.7334i 0.154083 0.474218i
\(722\) 28.7144 32.8469i 1.06864 1.22244i
\(723\) 17.8900 + 6.06618i 0.665336 + 0.225604i
\(724\) 13.8729 + 14.5270i 0.515584 + 0.539890i
\(725\) 0.284886 + 1.23337i 0.0105804 + 0.0458060i
\(726\) −5.00451 23.3251i −0.185735 0.865674i
\(727\) 9.30425 6.75993i 0.345076 0.250712i −0.401725 0.915760i \(-0.631589\pi\)
0.746800 + 0.665048i \(0.231589\pi\)
\(728\) −2.31547 52.5866i −0.0858171 1.94899i
\(729\) −6.35553 26.2413i −0.235390 0.971901i
\(730\) 2.41489 + 6.87909i 0.0893791 + 0.254607i
\(731\) 11.3563 + 34.9510i 0.420027 + 1.29271i
\(732\) 2.72308 13.9439i 0.100648 0.515382i
\(733\) 11.8534 3.85140i 0.437815 0.142255i −0.0818124 0.996648i \(-0.526071\pi\)
0.519627 + 0.854393i \(0.326071\pi\)
\(734\) −17.6235 29.5164i −0.650497 1.08947i
\(735\) −0.311521 0.0675113i −0.0114906 0.00249019i
\(736\) −17.1997 + 3.09533i −0.633988 + 0.114095i
\(737\) −1.63244 1.18604i −0.0601317 0.0436882i
\(738\) 3.03965 + 15.1041i 0.111891 + 0.555989i
\(739\) 3.08442 + 4.24534i 0.113462 + 0.156167i 0.861971 0.506957i \(-0.169230\pi\)
−0.748509 + 0.663125i \(0.769230\pi\)
\(740\) 12.5217 15.0204i 0.460305 0.552160i
\(741\) 1.10379 86.5222i 0.0405486 3.17847i
\(742\) −0.384625 + 4.25959i −0.0141200 + 0.156375i
\(743\) 19.7148i 0.723266i 0.932320 + 0.361633i \(0.117781\pi\)
−0.932320 + 0.361633i \(0.882219\pi\)
\(744\) 6.78310 23.3329i 0.248681 0.855424i
\(745\) 1.17889 2.08395i 0.0431913 0.0763500i
\(746\) −23.2075 20.2877i −0.849685 0.742786i
\(747\) −16.7524 + 21.8624i −0.612940 + 0.799903i
\(748\) 10.9714 + 1.99763i 0.401153 + 0.0730407i
\(749\) 29.6871i 1.08474i
\(750\) 14.3576 + 23.3208i 0.524266 + 0.851554i
\(751\) 43.6176i 1.59163i 0.605540 + 0.795815i \(0.292957\pi\)
−0.605540 + 0.795815i \(0.707043\pi\)
\(752\) 32.6977 21.5288i 1.19236 0.785073i
\(753\) 23.9428 7.44321i 0.872526 0.271245i
\(754\) 1.66734 1.90730i 0.0607209 0.0694597i
\(755\) 9.63302 17.0285i 0.350581 0.619729i
\(756\) −5.92156 + 26.6842i −0.215365 + 0.970495i
\(757\) 13.1585i 0.478255i −0.970988 0.239127i \(-0.923139\pi\)
0.970988 0.239127i \(-0.0768613\pi\)
\(758\) 18.8106 + 1.69852i 0.683231 + 0.0616932i
\(759\) 6.00796 + 0.0766451i 0.218075 + 0.00278204i
\(760\) 39.7786 20.2895i 1.44292 0.735977i
\(761\) 8.19231 + 11.2758i 0.296971 + 0.408746i 0.931263 0.364348i \(-0.118708\pi\)
−0.634292 + 0.773094i \(0.718708\pi\)
\(762\) −4.94143 + 11.1560i −0.179009 + 0.404138i
\(763\) 31.0917 + 22.5894i 1.12559 + 0.817791i
\(764\) −38.3335 6.97965i −1.38686 0.252515i
\(765\) −13.0376 30.6532i −0.471376 1.10827i
\(766\) 3.22193 1.92374i 0.116413 0.0695074i
\(767\) −11.4345 + 3.71531i −0.412877 + 0.134152i
\(768\) 13.8532 + 24.0019i 0.499884 + 0.866093i
\(769\) 10.7577 + 33.1089i 0.387933 + 1.19394i 0.934330 + 0.356409i \(0.115999\pi\)
−0.546397 + 0.837526i \(0.684001\pi\)
\(770\) −8.81213 + 3.09348i −0.317567 + 0.111481i
\(771\) 5.96564 1.85456i 0.214847 0.0667904i
\(772\) −3.23269 6.72280i −0.116347 0.241959i
\(773\) 26.9509 19.5810i 0.969357 0.704279i 0.0140523 0.999901i \(-0.495527\pi\)
0.955305 + 0.295622i </