Properties

Label 76.5.l.a.23.4
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.4
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.86299 - 1.03792i) q^{2} +(13.6381 - 2.40477i) q^{3} +(13.8454 + 8.01895i) q^{4} +(29.8632 - 25.0582i) q^{5} +(-55.1799 - 4.86566i) q^{6} +(54.4581 + 31.4414i) q^{7} +(-45.1618 - 45.3476i) q^{8} +(104.100 - 37.8894i) q^{9} +O(q^{10})\) \(q+(-3.86299 - 1.03792i) q^{2} +(13.6381 - 2.40477i) q^{3} +(13.8454 + 8.01895i) q^{4} +(29.8632 - 25.0582i) q^{5} +(-55.1799 - 4.86566i) q^{6} +(54.4581 + 31.4414i) q^{7} +(-45.1618 - 45.3476i) q^{8} +(104.100 - 37.8894i) q^{9} +(-141.370 + 65.8041i) q^{10} +(-116.509 + 67.2664i) q^{11} +(208.109 + 76.0683i) q^{12} +(-36.2645 + 205.666i) q^{13} +(-177.738 - 177.981i) q^{14} +(347.019 - 413.561i) q^{15} +(127.393 + 222.052i) q^{16} +(-331.637 - 120.706i) q^{17} +(-441.464 + 38.3188i) q^{18} +(248.486 - 261.870i) q^{19} +(614.410 - 107.470i) q^{20} +(818.315 + 297.842i) q^{21} +(519.890 - 138.923i) q^{22} +(246.839 - 294.172i) q^{23} +(-724.973 - 509.852i) q^{24} +(155.367 - 881.132i) q^{25} +(353.554 - 756.847i) q^{26} +(357.169 - 206.212i) q^{27} +(501.870 + 872.017i) q^{28} +(-739.926 + 269.311i) q^{29} +(-1769.77 + 1237.41i) q^{30} +(-149.916 - 86.5541i) q^{31} +(-261.645 - 990.009i) q^{32} +(-1427.20 + 1197.56i) q^{33} +(1155.83 + 810.498i) q^{34} +(2414.16 - 425.681i) q^{35} +(1745.15 + 310.179i) q^{36} -1117.67 q^{37} +(-1231.70 + 753.692i) q^{38} +2892.11i q^{39} +(-2485.01 - 222.551i) q^{40} +(308.470 + 1749.42i) q^{41} +(-2852.01 - 1999.91i) q^{42} +(547.604 + 652.609i) q^{43} +(-2152.52 - 2.94554i) q^{44} +(2159.32 - 3740.06i) q^{45} +(-1258.87 + 880.184i) q^{46} +(-1405.80 - 3862.39i) q^{47} +(2271.38 + 2722.02i) q^{48} +(776.624 + 1345.15i) q^{49} +(-1514.73 + 3242.55i) q^{50} +(-4813.17 - 848.691i) q^{51} +(-2151.33 + 2556.74i) q^{52} +(361.256 + 303.130i) q^{53} +(-1593.77 + 425.881i) q^{54} +(-1793.75 + 4928.29i) q^{55} +(-1033.64 - 3889.50i) q^{56} +(2759.14 - 4168.96i) q^{57} +(3137.85 - 272.363i) q^{58} +(818.004 - 2247.45i) q^{59} +(8120.95 - 2943.21i) q^{60} +(-2124.12 - 1782.35i) q^{61} +(489.289 + 489.959i) q^{62} +(6860.39 + 1209.67i) q^{63} +(-16.8150 + 4095.97i) q^{64} +(4070.65 + 7050.57i) q^{65} +(6756.24 - 3144.86i) q^{66} +(-411.697 - 1131.13i) q^{67} +(-3623.72 - 4330.61i) q^{68} +(2659.01 - 4605.54i) q^{69} +(-9767.70 - 861.298i) q^{70} +(4312.08 + 5138.94i) q^{71} +(-6419.55 - 3009.54i) q^{72} +(562.530 + 3190.27i) q^{73} +(4317.57 + 1160.06i) q^{74} -12390.6i q^{75} +(5540.32 - 1633.10i) q^{76} -8459.80 q^{77} +(3001.77 - 11172.2i) q^{78} +(-3478.29 + 613.316i) q^{79} +(9368.58 + 3438.95i) q^{80} +(-2498.70 + 2096.66i) q^{81} +(624.139 - 7078.16i) q^{82} +(147.417 + 85.1113i) q^{83} +(8941.55 + 10685.8i) q^{84} +(-12928.4 + 4705.55i) q^{85} +(-1438.03 - 3089.39i) q^{86} +(-9443.56 + 5452.24i) q^{87} +(8312.12 + 2245.52i) q^{88} +(-243.708 + 1382.14i) q^{89} +(-12223.3 + 12206.6i) q^{90} +(-8441.33 + 10060.0i) q^{91} +(5776.55 - 2093.55i) q^{92} +(-2252.71 - 819.921i) q^{93} +(1421.73 + 16379.5i) q^{94} +(858.605 - 14046.9i) q^{95} +(-5949.09 - 12872.7i) q^{96} +(352.351 + 128.245i) q^{97} +(-1603.93 - 6002.39i) q^{98} +(-9579.90 + 11416.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.86299 1.03792i −0.965749 0.259480i
\(3\) 13.6381 2.40477i 1.51535 0.267196i 0.646744 0.762707i \(-0.276130\pi\)
0.868602 + 0.495511i \(0.165019\pi\)
\(4\) 13.8454 + 8.01895i 0.865340 + 0.501185i
\(5\) 29.8632 25.0582i 1.19453 1.00233i 0.194759 0.980851i \(-0.437608\pi\)
0.999769 0.0214769i \(-0.00683685\pi\)
\(6\) −55.1799 4.86566i −1.53278 0.135157i
\(7\) 54.4581 + 31.4414i 1.11139 + 0.641661i 0.939189 0.343400i \(-0.111579\pi\)
0.172201 + 0.985062i \(0.444912\pi\)
\(8\) −45.1618 45.3476i −0.705654 0.708557i
\(9\) 104.100 37.8894i 1.28519 0.467770i
\(10\) −141.370 + 65.8041i −1.41370 + 0.658041i
\(11\) −116.509 + 67.2664i −0.962883 + 0.555920i −0.897059 0.441911i \(-0.854301\pi\)
−0.0658235 + 0.997831i \(0.520967\pi\)
\(12\) 208.109 + 76.0683i 1.44520 + 0.528252i
\(13\) −36.2645 + 205.666i −0.214583 + 1.21696i 0.667046 + 0.745016i \(0.267558\pi\)
−0.881629 + 0.471943i \(0.843553\pi\)
\(14\) −177.738 177.981i −0.906825 0.908067i
\(15\) 347.019 413.561i 1.54230 1.83805i
\(16\) 127.393 + 222.052i 0.497628 + 0.867391i
\(17\) −331.637 120.706i −1.14753 0.417667i −0.302904 0.953021i \(-0.597956\pi\)
−0.844628 + 0.535354i \(0.820178\pi\)
\(18\) −441.464 + 38.3188i −1.36254 + 0.118268i
\(19\) 248.486 261.870i 0.688327 0.725401i
\(20\) 614.410 107.470i 1.53602 0.268676i
\(21\) 818.315 + 297.842i 1.85559 + 0.675380i
\(22\) 519.890 138.923i 1.07415 0.287031i
\(23\) 246.839 294.172i 0.466615 0.556090i −0.480496 0.876997i \(-0.659543\pi\)
0.947111 + 0.320907i \(0.103988\pi\)
\(24\) −724.973 509.852i −1.25863 0.885160i
\(25\) 155.367 881.132i 0.248588 1.40981i
\(26\) 353.554 756.847i 0.523009 1.11960i
\(27\) 357.169 206.212i 0.489944 0.282869i
\(28\) 501.870 + 872.017i 0.640140 + 1.11227i
\(29\) −739.926 + 269.311i −0.879817 + 0.320227i −0.742136 0.670250i \(-0.766187\pi\)
−0.137681 + 0.990477i \(0.543965\pi\)
\(30\) −1769.77 + 1237.41i −1.96642 + 1.37489i
\(31\) −149.916 86.5541i −0.156000 0.0900667i 0.419968 0.907539i \(-0.362041\pi\)
−0.575968 + 0.817472i \(0.695375\pi\)
\(32\) −261.645 990.009i −0.255513 0.966806i
\(33\) −1427.20 + 1197.56i −1.31056 + 1.09969i
\(34\) 1155.83 + 810.498i 0.999851 + 0.701123i
\(35\) 2414.16 425.681i 1.97074 0.347495i
\(36\) 1745.15 + 310.179i 1.34656 + 0.239336i
\(37\) −1117.67 −0.816417 −0.408208 0.912889i \(-0.633846\pi\)
−0.408208 + 0.912889i \(0.633846\pi\)
\(38\) −1231.70 + 753.692i −0.852978 + 0.521948i
\(39\) 2892.11i 1.90145i
\(40\) −2485.01 222.551i −1.55313 0.139094i
\(41\) 308.470 + 1749.42i 0.183504 + 1.04070i 0.927863 + 0.372921i \(0.121644\pi\)
−0.744359 + 0.667779i \(0.767245\pi\)
\(42\) −2852.01 1999.91i −1.61679 1.13374i
\(43\) 547.604 + 652.609i 0.296162 + 0.352952i 0.893521 0.449022i \(-0.148228\pi\)
−0.597359 + 0.801974i \(0.703783\pi\)
\(44\) −2152.52 2.94554i −1.11184 0.00152146i
\(45\) 2159.32 3740.06i 1.06633 1.84694i
\(46\) −1258.87 + 880.184i −0.594927 + 0.415966i
\(47\) −1405.80 3862.39i −0.636394 1.74848i −0.662766 0.748827i \(-0.730617\pi\)
0.0263711 0.999652i \(-0.491605\pi\)
\(48\) 2271.38 + 2722.02i 0.985842 + 1.18143i
\(49\) 776.624 + 1345.15i 0.323459 + 0.560247i
\(50\) −1514.73 + 3242.55i −0.605891 + 1.29702i
\(51\) −4813.17 848.691i −1.85051 0.326294i
\(52\) −2151.33 + 2556.74i −0.795608 + 0.945539i
\(53\) 361.256 + 303.130i 0.128607 + 0.107914i 0.704822 0.709384i \(-0.251027\pi\)
−0.576216 + 0.817298i \(0.695471\pi\)
\(54\) −1593.77 + 425.881i −0.546561 + 0.146050i
\(55\) −1793.75 + 4928.29i −0.592976 + 1.62919i
\(56\) −1033.64 3889.50i −0.329603 1.24027i
\(57\) 2759.14 4168.96i 0.849229 1.28315i
\(58\) 3137.85 272.363i 0.932774 0.0809641i
\(59\) 818.004 2247.45i 0.234991 0.645633i −0.765008 0.644021i \(-0.777265\pi\)
0.999999 0.00161161i \(-0.000512991\pi\)
\(60\) 8120.95 2943.21i 2.25582 0.817557i
\(61\) −2124.12 1782.35i −0.570847 0.478998i 0.311080 0.950384i \(-0.399309\pi\)
−0.881927 + 0.471386i \(0.843754\pi\)
\(62\) 489.289 + 489.959i 0.127286 + 0.127461i
\(63\) 6860.39 + 1209.67i 1.72849 + 0.304780i
\(64\) −16.8150 + 4095.97i −0.00410522 + 0.999992i
\(65\) 4070.65 + 7050.57i 0.963467 + 1.66877i
\(66\) 6756.24 3144.86i 1.55102 0.721961i
\(67\) −411.697 1131.13i −0.0917123 0.251977i 0.885352 0.464921i \(-0.153917\pi\)
−0.977065 + 0.212943i \(0.931695\pi\)
\(68\) −3623.72 4330.61i −0.783677 0.936550i
\(69\) 2659.01 4605.54i 0.558498 0.967347i
\(70\) −9767.70 861.298i −1.99341 0.175775i
\(71\) 4312.08 + 5138.94i 0.855402 + 1.01943i 0.999554 + 0.0298724i \(0.00951009\pi\)
−0.144152 + 0.989556i \(0.546045\pi\)
\(72\) −6419.55 3009.54i −1.23834 0.580544i
\(73\) 562.530 + 3190.27i 0.105560 + 0.598662i 0.990995 + 0.133898i \(0.0427495\pi\)
−0.885435 + 0.464763i \(0.846139\pi\)
\(74\) 4317.57 + 1160.06i 0.788453 + 0.211844i
\(75\) 12390.6i 2.20277i
\(76\) 5540.32 1633.10i 0.959197 0.282740i
\(77\) −8459.80 −1.42685
\(78\) 3001.77 11172.2i 0.493388 1.83632i
\(79\) −3478.29 + 613.316i −0.557329 + 0.0982721i −0.445216 0.895423i \(-0.646873\pi\)
−0.112113 + 0.993695i \(0.535762\pi\)
\(80\) 9368.58 + 3438.95i 1.46384 + 0.537336i
\(81\) −2498.70 + 2096.66i −0.380842 + 0.319564i
\(82\) 624.139 7078.16i 0.0928225 1.05267i
\(83\) 147.417 + 85.1113i 0.0213989 + 0.0123547i 0.510661 0.859782i \(-0.329401\pi\)
−0.489262 + 0.872137i \(0.662734\pi\)
\(84\) 8941.55 + 10685.8i 1.26723 + 1.51443i
\(85\) −12928.4 + 4705.55i −1.78940 + 0.651288i
\(86\) −1438.03 3089.39i −0.194434 0.417711i
\(87\) −9443.56 + 5452.24i −1.24766 + 0.720339i
\(88\) 8312.12 + 2245.52i 1.07336 + 0.289969i
\(89\) −243.708 + 1382.14i −0.0307673 + 0.174490i −0.996319 0.0857203i \(-0.972681\pi\)
0.965552 + 0.260210i \(0.0837920\pi\)
\(90\) −12223.3 + 12206.6i −1.50905 + 1.50699i
\(91\) −8441.33 + 10060.0i −1.01936 + 1.21483i
\(92\) 5776.55 2093.55i 0.682485 0.247347i
\(93\) −2252.71 819.921i −0.260460 0.0947995i
\(94\) 1421.73 + 16379.5i 0.160902 + 1.85372i
\(95\) 858.605 14046.9i 0.0951363 1.55644i
\(96\) −5949.09 12872.7i −0.645518 1.39677i
\(97\) 352.351 + 128.245i 0.0374483 + 0.0136301i 0.360676 0.932691i \(-0.382546\pi\)
−0.323228 + 0.946321i \(0.604768\pi\)
\(98\) −1603.93 6002.39i −0.167007 0.624988i
\(99\) −9579.90 + 11416.9i −0.977441 + 1.16487i
\(100\) 9216.88 10953.8i 0.921688 1.09538i
\(101\) 2528.45 14339.6i 0.247863 1.40570i −0.565885 0.824484i \(-0.691465\pi\)
0.813748 0.581218i \(-0.197424\pi\)
\(102\) 17712.4 + 8274.17i 1.70246 + 0.795287i
\(103\) −1609.74 + 929.382i −0.151733 + 0.0876032i −0.573944 0.818894i \(-0.694587\pi\)
0.422211 + 0.906498i \(0.361254\pi\)
\(104\) 10964.2 7643.75i 1.01371 0.706708i
\(105\) 31900.9 11611.0i 2.89351 1.05315i
\(106\) −1080.91 1545.95i −0.0962003 0.137589i
\(107\) 17669.4 + 10201.4i 1.54331 + 0.891032i 0.998627 + 0.0523917i \(0.0166844\pi\)
0.544686 + 0.838640i \(0.316649\pi\)
\(108\) 6598.76 + 9.02983i 0.565738 + 0.000774163i
\(109\) −5923.73 + 4970.60i −0.498588 + 0.418365i −0.857092 0.515163i \(-0.827731\pi\)
0.358504 + 0.933528i \(0.383287\pi\)
\(110\) 12044.4 17176.2i 0.995406 1.41952i
\(111\) −15243.0 + 2687.75i −1.23715 + 0.218144i
\(112\) −44.0573 + 16097.9i −0.00351222 + 1.28332i
\(113\) −13452.2 −1.05350 −0.526752 0.850019i \(-0.676590\pi\)
−0.526752 + 0.850019i \(0.676590\pi\)
\(114\) −14985.6 + 13240.9i −1.15309 + 1.01884i
\(115\) 14970.3i 1.13197i
\(116\) −12404.2 2204.70i −0.921834 0.163845i
\(117\) 4017.42 + 22783.9i 0.293478 + 1.66440i
\(118\) −5492.62 + 7832.86i −0.394471 + 0.562544i
\(119\) −14265.1 17000.5i −1.00735 1.20052i
\(120\) −34426.0 + 2940.69i −2.39069 + 0.204215i
\(121\) 1729.03 2994.77i 0.118095 0.204547i
\(122\) 6355.53 + 9089.87i 0.427004 + 0.610714i
\(123\) 8413.88 + 23117.0i 0.556143 + 1.52799i
\(124\) −1381.58 2400.55i −0.0898531 0.156123i
\(125\) −5257.42 9106.12i −0.336475 0.582792i
\(126\) −25246.1 11793.5i −1.59021 0.742850i
\(127\) 8901.16 + 1569.52i 0.551873 + 0.0973101i 0.442629 0.896705i \(-0.354046\pi\)
0.109244 + 0.994015i \(0.465157\pi\)
\(128\) 4316.24 15805.2i 0.263442 0.964675i
\(129\) 9037.65 + 7583.49i 0.543096 + 0.455711i
\(130\) −8406.97 31461.3i −0.497454 1.86162i
\(131\) −5742.38 + 15777.1i −0.334618 + 0.919356i 0.652275 + 0.757982i \(0.273815\pi\)
−0.986893 + 0.161374i \(0.948408\pi\)
\(132\) −29363.4 + 5136.14i −1.68523 + 0.294774i
\(133\) 21765.6 6448.18i 1.23046 0.364530i
\(134\) 416.363 + 4796.84i 0.0231879 + 0.267144i
\(135\) 5498.92 15108.1i 0.301724 0.828979i
\(136\) 9503.60 + 20490.2i 0.513819 + 1.10782i
\(137\) 19517.7 + 16377.3i 1.03989 + 0.872573i 0.991995 0.126279i \(-0.0403034\pi\)
0.0478977 + 0.998852i \(0.484748\pi\)
\(138\) −15051.9 + 15031.3i −0.790376 + 0.789295i
\(139\) 26673.7 + 4703.29i 1.38055 + 0.243429i 0.814129 0.580685i \(-0.197215\pi\)
0.566425 + 0.824113i \(0.308326\pi\)
\(140\) 36838.6 + 13465.3i 1.87952 + 0.687004i
\(141\) −28460.5 49295.1i −1.43155 2.47951i
\(142\) −11323.7 24327.3i −0.561582 1.20647i
\(143\) −9609.28 26401.3i −0.469915 1.29108i
\(144\) 21675.0 + 18288.8i 1.04528 + 0.881984i
\(145\) −15348.1 + 26583.7i −0.729993 + 1.26439i
\(146\) 1138.19 12907.8i 0.0533960 0.605547i
\(147\) 13826.5 + 16477.7i 0.639848 + 0.762541i
\(148\) −15474.7 8962.58i −0.706478 0.409175i
\(149\) 110.516 + 626.766i 0.00497797 + 0.0282314i 0.987196 0.159515i \(-0.0509929\pi\)
−0.982218 + 0.187746i \(0.939882\pi\)
\(150\) −12860.4 + 47864.8i −0.571575 + 2.12732i
\(151\) 1937.68i 0.0849823i −0.999097 0.0424911i \(-0.986471\pi\)
0.999097 0.0424911i \(-0.0135294\pi\)
\(152\) −23097.3 + 558.266i −0.999708 + 0.0241632i
\(153\) −39096.9 −1.67016
\(154\) 32680.2 + 8780.59i 1.37798 + 0.370239i
\(155\) −6645.86 + 1171.84i −0.276623 + 0.0487761i
\(156\) −23191.7 + 40042.5i −0.952978 + 1.64540i
\(157\) 19013.5 15954.2i 0.771370 0.647256i −0.169690 0.985498i \(-0.554277\pi\)
0.941059 + 0.338242i \(0.109832\pi\)
\(158\) 14073.2 + 1240.95i 0.563739 + 0.0497095i
\(159\) 5655.81 + 3265.39i 0.223718 + 0.129164i
\(160\) −32621.4 23008.5i −1.27427 0.898769i
\(161\) 22691.6 8259.06i 0.875413 0.318624i
\(162\) 11828.6 5505.93i 0.450718 0.209798i
\(163\) 4469.60 2580.52i 0.168226 0.0971254i −0.413523 0.910494i \(-0.635702\pi\)
0.581749 + 0.813368i \(0.302369\pi\)
\(164\) −9757.60 + 26695.1i −0.362790 + 0.992529i
\(165\) −12612.0 + 71526.1i −0.463250 + 2.62722i
\(166\) −481.132 481.791i −0.0174602 0.0174841i
\(167\) −32744.4 + 39023.2i −1.17410 + 1.39923i −0.275023 + 0.961438i \(0.588685\pi\)
−0.899074 + 0.437797i \(0.855759\pi\)
\(168\) −23450.2 50559.8i −0.830860 1.79137i
\(169\) −14144.9 5148.32i −0.495252 0.180257i
\(170\) 54826.3 4758.89i 1.89711 0.164667i
\(171\) 15945.4 36675.6i 0.545308 1.25425i
\(172\) 2348.58 + 13426.9i 0.0793868 + 0.453856i
\(173\) −6448.58 2347.09i −0.215462 0.0784219i 0.232034 0.972708i \(-0.425462\pi\)
−0.447496 + 0.894286i \(0.647684\pi\)
\(174\) 42139.4 11260.3i 1.39184 0.371922i
\(175\) 36165.0 43099.8i 1.18090 1.40734i
\(176\) −29779.0 17301.8i −0.961357 0.558554i
\(177\) 5751.45 32618.1i 0.183582 1.04115i
\(178\) 2375.99 5086.24i 0.0749902 0.160530i
\(179\) 21371.9 12339.1i 0.667018 0.385103i −0.127928 0.991784i \(-0.540833\pi\)
0.794946 + 0.606680i \(0.207499\pi\)
\(180\) 59888.2 34467.3i 1.84840 1.06380i
\(181\) −3633.72 + 1322.56i −0.110916 + 0.0403701i −0.396882 0.917870i \(-0.629908\pi\)
0.285966 + 0.958240i \(0.407686\pi\)
\(182\) 43050.3 30100.2i 1.29967 0.908714i
\(183\) −33255.2 19199.9i −0.993017 0.573319i
\(184\) −24487.7 + 2091.76i −0.723290 + 0.0617840i
\(185\) −33377.3 + 28006.9i −0.975233 + 0.818317i
\(186\) 7851.21 + 5505.49i 0.226940 + 0.159137i
\(187\) 46758.0 8244.70i 1.33713 0.235772i
\(188\) 11508.5 64749.5i 0.325613 1.83198i
\(189\) 25934.3 0.726025
\(190\) −17896.3 + 53371.8i −0.495743 + 1.47844i
\(191\) 59073.7i 1.61930i −0.586913 0.809650i \(-0.699657\pi\)
0.586913 0.809650i \(-0.300343\pi\)
\(192\) 9620.52 + 55901.7i 0.260973 + 1.51643i
\(193\) −7473.92 42386.7i −0.200647 1.13793i −0.904143 0.427229i \(-0.859490\pi\)
0.703496 0.710699i \(-0.251621\pi\)
\(194\) −1228.02 861.123i −0.0326289 0.0228803i
\(195\) 72471.0 + 86367.5i 1.90588 + 2.27134i
\(196\) −34.0077 + 24851.9i −0.000885249 + 0.646917i
\(197\) 4693.55 8129.46i 0.120940 0.209474i −0.799199 0.601067i \(-0.794743\pi\)
0.920138 + 0.391593i \(0.128076\pi\)
\(198\) 48856.9 34160.2i 1.24622 0.871344i
\(199\) 3518.55 + 9667.13i 0.0888500 + 0.244113i 0.976157 0.217066i \(-0.0696487\pi\)
−0.887307 + 0.461179i \(0.847426\pi\)
\(200\) −46973.9 + 32748.0i −1.17435 + 0.818700i
\(201\) −8334.86 14436.4i −0.206303 0.357328i
\(202\) −24650.7 + 52769.3i −0.604125 + 1.29324i
\(203\) −48762.5 8598.14i −1.18330 0.208647i
\(204\) −59834.8 50347.1i −1.43778 1.20980i
\(205\) 53049.1 + 44513.5i 1.26232 + 1.05922i
\(206\) 7183.03 1919.42i 0.169267 0.0452309i
\(207\) 14550.0 39975.9i 0.339565 0.932949i
\(208\) −50288.4 + 18147.8i −1.16236 + 0.419466i
\(209\) −11335.8 + 47224.9i −0.259513 + 1.08113i
\(210\) −135284. + 11742.6i −3.06767 + 0.266272i
\(211\) 11768.4 32333.3i 0.264333 0.726248i −0.734530 0.678576i \(-0.762597\pi\)
0.998863 0.0476722i \(-0.0151803\pi\)
\(212\) 2570.97 + 7093.87i 0.0572039 + 0.157838i
\(213\) 71166.6 + 59715.8i 1.56862 + 1.31623i
\(214\) −57668.5 57747.4i −1.25925 1.26097i
\(215\) 32706.4 + 5767.02i 0.707548 + 0.124760i
\(216\) −25481.6 6883.87i −0.546159 0.147545i
\(217\) −5442.76 9427.14i −0.115585 0.200198i
\(218\) 28042.4 13053.0i 0.590068 0.274662i
\(219\) 15343.7 + 42156.5i 0.319920 + 0.878974i
\(220\) −64355.0 + 53850.4i −1.32965 + 1.11261i
\(221\) 36851.7 63829.1i 0.754525 1.30688i
\(222\) 61673.2 + 5438.23i 1.25138 + 0.110345i
\(223\) 23847.4 + 28420.2i 0.479547 + 0.571502i 0.950527 0.310642i \(-0.100544\pi\)
−0.470980 + 0.882144i \(0.656099\pi\)
\(224\) 16878.6 62140.5i 0.336387 1.23845i
\(225\) −17211.8 97612.7i −0.339985 1.92815i
\(226\) 51965.8 + 13962.3i 1.01742 + 0.273363i
\(227\) 40697.7i 0.789802i 0.918724 + 0.394901i \(0.129221\pi\)
−0.918724 + 0.394901i \(0.870779\pi\)
\(228\) 71632.3 35595.6i 1.37797 0.684742i
\(229\) −33392.4 −0.636761 −0.318381 0.947963i \(-0.603139\pi\)
−0.318381 + 0.947963i \(0.603139\pi\)
\(230\) −15537.9 + 57830.0i −0.293723 + 1.09320i
\(231\) −115376. + 20343.8i −2.16217 + 0.381249i
\(232\) 45629.0 + 21391.3i 0.847745 + 0.397431i
\(233\) 8646.76 7255.49i 0.159273 0.133646i −0.559668 0.828717i \(-0.689071\pi\)
0.718941 + 0.695071i \(0.244627\pi\)
\(234\) 8128.60 92183.9i 0.148451 1.68354i
\(235\) −138766. 80116.7i −2.51274 1.45073i
\(236\) 29347.8 24557.4i 0.526929 0.440918i
\(237\) −45962.4 + 16728.9i −0.818288 + 0.297832i
\(238\) 37461.0 + 80479.0i 0.661341 + 1.42079i
\(239\) −76797.1 + 44338.8i −1.34446 + 0.776226i −0.987459 0.157877i \(-0.949535\pi\)
−0.357004 + 0.934103i \(0.616202\pi\)
\(240\) 136040. + 24371.5i 2.36180 + 0.423117i
\(241\) 9526.77 54029.0i 0.164026 0.930235i −0.786038 0.618178i \(-0.787871\pi\)
0.950063 0.312057i \(-0.101018\pi\)
\(242\) −9787.57 + 9774.19i −0.167126 + 0.166898i
\(243\) −50508.7 + 60194.0i −0.855370 + 1.01939i
\(244\) −15116.8 41710.7i −0.253911 0.700596i
\(245\) 56899.6 + 20709.8i 0.947931 + 0.345019i
\(246\) −8509.24 98033.6i −0.140611 1.61996i
\(247\) 44846.5 + 60601.7i 0.735080 + 0.993324i
\(248\) 2845.46 + 10707.3i 0.0462647 + 0.174091i
\(249\) 2215.16 + 806.253i 0.0357279 + 0.0130039i
\(250\) 10858.0 + 40633.7i 0.173727 + 0.650139i
\(251\) 57179.2 68143.5i 0.907591 1.08163i −0.0887408 0.996055i \(-0.528284\pi\)
0.996332 0.0855705i \(-0.0272713\pi\)
\(252\) 85284.9 + 71761.6i 1.34298 + 1.13003i
\(253\) −8971.09 + 50877.6i −0.140154 + 0.794851i
\(254\) −32756.1 15301.7i −0.507721 0.237177i
\(255\) −165003. + 95264.7i −2.53754 + 1.46505i
\(256\) −33078.2 + 56575.6i −0.504733 + 0.863276i
\(257\) −4463.28 + 1624.50i −0.0675752 + 0.0245954i −0.375587 0.926787i \(-0.622559\pi\)
0.308011 + 0.951383i \(0.400337\pi\)
\(258\) −27041.3 38675.3i −0.406246 0.581025i
\(259\) −60866.4 35141.3i −0.907357 0.523863i
\(260\) −178.250 + 130261.i −0.00263684 + 1.92693i
\(261\) −66822.4 + 56070.6i −0.980936 + 0.823103i
\(262\) 38558.1 54986.6i 0.561711 0.801040i
\(263\) 90848.0 16018.9i 1.31342 0.231591i 0.527307 0.849675i \(-0.323202\pi\)
0.786113 + 0.618083i \(0.212091\pi\)
\(264\) 118762. + 10636.0i 1.70400 + 0.152605i
\(265\) 18384.2 0.261790
\(266\) −90773.2 + 2318.30i −1.28290 + 0.0327647i
\(267\) 19435.8i 0.272634i
\(268\) 3370.33 18962.3i 0.0469249 0.264011i
\(269\) −3712.24 21053.1i −0.0513016 0.290946i 0.948353 0.317216i \(-0.102748\pi\)
−0.999655 + 0.0262702i \(0.991637\pi\)
\(270\) −36923.3 + 52655.2i −0.506493 + 0.722294i
\(271\) −2219.81 2645.47i −0.0302258 0.0360217i 0.750720 0.660621i \(-0.229707\pi\)
−0.780946 + 0.624599i \(0.785262\pi\)
\(272\) −15445.1 89017.6i −0.208763 1.20320i
\(273\) −90931.9 + 157499.i −1.22009 + 2.11325i
\(274\) −58398.6 83523.4i −0.777859 1.11252i
\(275\) 41168.9 + 113111.i 0.544382 + 1.49568i
\(276\) 73746.8 42443.3i 0.968111 0.557174i
\(277\) −49146.9 85124.9i −0.640525 1.10942i −0.985316 0.170743i \(-0.945383\pi\)
0.344790 0.938680i \(-0.387950\pi\)
\(278\) −98158.6 45853.9i −1.27010 0.593317i
\(279\) −18885.8 3330.07i −0.242620 0.0427804i
\(280\) −128332. 90251.8i −1.63688 1.15117i
\(281\) −97936.0 82178.1i −1.24031 1.04074i −0.997500 0.0706687i \(-0.977487\pi\)
−0.242809 0.970074i \(-0.578069\pi\)
\(282\) 58778.6 + 219966.i 0.739130 + 2.76604i
\(283\) 13024.0 35783.2i 0.162619 0.446793i −0.831442 0.555611i \(-0.812484\pi\)
0.994062 + 0.108818i \(0.0347067\pi\)
\(284\) 18493.8 + 105729.i 0.229292 + 1.31087i
\(285\) −22069.7 193638.i −0.271711 2.38397i
\(286\) 9718.19 + 111962.i 0.118810 + 1.36879i
\(287\) −38205.5 + 104969.i −0.463833 + 1.27437i
\(288\) −64748.1 93146.5i −0.780625 1.12300i
\(289\) 31432.2 + 26374.7i 0.376338 + 0.315785i
\(290\) 86881.4 86762.6i 1.03307 1.03166i
\(291\) 5113.81 + 901.702i 0.0603891 + 0.0106482i
\(292\) −17794.1 + 48681.6i −0.208694 + 0.570951i
\(293\) 68682.7 + 118962.i 0.800040 + 1.38571i 0.919589 + 0.392882i \(0.128522\pi\)
−0.119548 + 0.992828i \(0.538145\pi\)
\(294\) −36309.0 78004.2i −0.420068 0.902450i
\(295\) −31888.8 87613.7i −0.366432 1.00676i
\(296\) 50476.2 + 50683.9i 0.576108 + 0.578478i
\(297\) −27742.2 + 48050.9i −0.314505 + 0.544739i
\(298\) 223.611 2535.90i 0.00251803 0.0285562i
\(299\) 51549.7 + 61434.5i 0.576612 + 0.687179i
\(300\) 99359.6 171553.i 1.10400 1.90615i
\(301\) 9302.53 + 52757.3i 0.102676 + 0.582303i
\(302\) −2011.16 + 7485.25i −0.0220512 + 0.0820715i
\(303\) 201645.i 2.19635i
\(304\) 89804.0 + 21816.5i 0.971736 + 0.236069i
\(305\) −108096. −1.16201
\(306\) 151031. + 40579.4i 1.61296 + 0.433374i
\(307\) 142674. 25157.3i 1.51380 0.266924i 0.645809 0.763499i \(-0.276520\pi\)
0.867994 + 0.496575i \(0.165409\pi\)
\(308\) −117130. 67838.7i −1.23471 0.715116i
\(309\) −19718.8 + 16546.1i −0.206521 + 0.173292i
\(310\) 26889.2 + 2371.04i 0.279804 + 0.0246726i
\(311\) −61794.5 35677.1i −0.638895 0.368866i 0.145294 0.989389i \(-0.453587\pi\)
−0.784189 + 0.620523i \(0.786921\pi\)
\(312\) 131150. 130613.i 1.34729 1.34177i
\(313\) 179210. 65227.0i 1.82925 0.665792i 0.836151 0.548500i \(-0.184801\pi\)
0.993097 0.117292i \(-0.0374214\pi\)
\(314\) −90008.2 + 41896.6i −0.912899 + 0.424932i
\(315\) 235185. 135784.i 2.37022 1.36845i
\(316\) −53076.6 19400.6i −0.531531 0.194286i
\(317\) −6372.12 + 36138.1i −0.0634111 + 0.359622i 0.936548 + 0.350540i \(0.114002\pi\)
−0.999959 + 0.00908204i \(0.997109\pi\)
\(318\) −18459.2 18484.4i −0.182540 0.182790i
\(319\) 68092.3 81149.2i 0.669139 0.797449i
\(320\) 102135. + 122740.i 0.997416 + 1.19863i
\(321\) 265509. + 96637.4i 2.57673 + 0.937854i
\(322\) −96229.7 + 8352.67i −0.928106 + 0.0805589i
\(323\) −114016. + 56851.8i −1.09285 + 0.544929i
\(324\) −51408.7 + 8992.21i −0.489718 + 0.0856597i
\(325\) 175585. + 63907.6i 1.66234 + 0.605042i
\(326\) −19944.4 + 5329.47i −0.187666 + 0.0501474i
\(327\) −68835.4 + 82034.8i −0.643748 + 0.767189i
\(328\) 65400.9 92995.3i 0.607905 0.864397i
\(329\) 44882.0 254539.i 0.414649 2.35159i
\(330\) 122958. 263215.i 1.12909 2.41703i
\(331\) 34332.8 19822.1i 0.313367 0.180923i −0.335065 0.942195i \(-0.608758\pi\)
0.648432 + 0.761272i \(0.275425\pi\)
\(332\) 1358.55 + 2360.53i 0.0123254 + 0.0214158i
\(333\) −116350. + 42348.0i −1.04925 + 0.381895i
\(334\) 166994. 116761.i 1.49696 1.04665i
\(335\) −40638.6 23462.7i −0.362117 0.209068i
\(336\) 38110.9 + 219651.i 0.337576 + 1.94561i
\(337\) −77702.7 + 65200.3i −0.684189 + 0.574103i −0.917227 0.398365i \(-0.869578\pi\)
0.233038 + 0.972468i \(0.425133\pi\)
\(338\) 49298.1 + 34569.2i 0.431516 + 0.302591i
\(339\) −183463. + 32349.4i −1.59642 + 0.281493i
\(340\) −216733. 38521.8i −1.87485 0.333233i
\(341\) 23288.7 0.200280
\(342\) −99663.2 + 125128.i −0.852084 + 1.06980i
\(343\) 53309.0i 0.453119i
\(344\) 4863.46 54305.5i 0.0410987 0.458910i
\(345\) −36000.0 204166.i −0.302458 1.71532i
\(346\) 22474.7 + 15759.9i 0.187734 + 0.131644i
\(347\) 62559.9 + 74556.0i 0.519562 + 0.619190i 0.960477 0.278359i \(-0.0897905\pi\)
−0.440915 + 0.897549i \(0.645346\pi\)
\(348\) −174472. 238.749i −1.44068 0.00197144i
\(349\) 153.229 265.400i 0.00125802 0.00217896i −0.865396 0.501089i \(-0.832933\pi\)
0.866654 + 0.498910i \(0.166266\pi\)
\(350\) −184439. + 128958.i −1.50563 + 1.05272i
\(351\) 29458.2 + 80935.7i 0.239107 + 0.656940i
\(352\) 97078.3 + 97744.8i 0.783496 + 0.788875i
\(353\) 108398. + 187752.i 0.869909 + 1.50673i 0.862089 + 0.506757i \(0.169156\pi\)
0.00781947 + 0.999969i \(0.497511\pi\)
\(354\) −56072.7 + 120034.i −0.447451 + 0.957849i
\(355\) 257545. + 45412.1i 2.04360 + 0.360342i
\(356\) −14457.5 + 17182.0i −0.114076 + 0.135573i
\(357\) −235432. 197551.i −1.84726 1.55004i
\(358\) −95366.6 + 25483.5i −0.744098 + 0.198835i
\(359\) 61851.0 169934.i 0.479908 1.31854i −0.429664 0.902989i \(-0.641368\pi\)
0.909572 0.415547i \(-0.136410\pi\)
\(360\) −267122. + 70987.8i −2.06113 + 0.547745i
\(361\) −6830.42 130142.i −0.0524122 0.998626i
\(362\) 15409.7 1337.55i 0.117592 0.0102069i
\(363\) 16379.0 45000.9i 0.124301 0.341514i
\(364\) −197544. + 71594.3i −1.49095 + 0.540351i
\(365\) 96741.3 + 81175.6i 0.726150 + 0.609312i
\(366\) 108537. + 108685.i 0.810240 + 0.811350i
\(367\) 156323. + 27563.9i 1.16062 + 0.204648i 0.720607 0.693344i \(-0.243863\pi\)
0.440012 + 0.897992i \(0.354974\pi\)
\(368\) 96767.0 + 17335.8i 0.714548 + 0.128012i
\(369\) 98396.0 + 170427.i 0.722645 + 1.25166i
\(370\) 158005. 73547.5i 1.15417 0.537236i
\(371\) 10142.5 + 27866.3i 0.0736881 + 0.202456i
\(372\) −24614.9 29416.6i −0.177874 0.212572i
\(373\) −50457.5 + 87394.9i −0.362667 + 0.628157i −0.988399 0.151881i \(-0.951467\pi\)
0.625732 + 0.780038i \(0.284800\pi\)
\(374\) −189183. 16681.8i −1.35251 0.119262i
\(375\) −93599.4 111547.i −0.665596 0.793226i
\(376\) −111662. + 238182.i −0.789823 + 1.68474i
\(377\) −28555.1 161944.i −0.200910 1.13942i
\(378\) −100184. 26917.7i −0.701157 0.188389i
\(379\) 79968.8i 0.556727i 0.960476 + 0.278363i \(0.0897920\pi\)
−0.960476 + 0.278363i \(0.910208\pi\)
\(380\) 124529. 187600.i 0.862390 1.29917i
\(381\) 125169. 0.862280
\(382\) −61313.7 + 228201.i −0.420176 + 1.56384i
\(383\) −153869. + 27131.3i −1.04895 + 0.184958i −0.671449 0.741051i \(-0.734328\pi\)
−0.377501 + 0.926009i \(0.623217\pi\)
\(384\) 20857.4 225933.i 0.141449 1.53221i
\(385\) −252637. + 211987.i −1.70441 + 1.43017i
\(386\) −15122.3 + 171497.i −0.101494 + 1.15102i
\(387\) 81732.5 + 47188.3i 0.545724 + 0.315074i
\(388\) 3850.07 + 4601.10i 0.0255744 + 0.0305632i
\(389\) 95890.0 34901.1i 0.633686 0.230643i −0.00514887 0.999987i \(-0.501639\pi\)
0.638835 + 0.769344i \(0.279417\pi\)
\(390\) −190312. 408856.i −1.25123 2.68808i
\(391\) −117369. + 67763.2i −0.767716 + 0.443241i
\(392\) 25925.7 95967.6i 0.168717 0.624529i
\(393\) −40375.1 + 228979.i −0.261414 + 1.48255i
\(394\) −26568.9 + 26532.5i −0.171152 + 0.170917i
\(395\) −88504.2 + 105475.i −0.567244 + 0.676015i
\(396\) −224189. + 81251.0i −1.42963 + 0.518130i
\(397\) −233633. 85035.4i −1.48236 0.539534i −0.530932 0.847415i \(-0.678158\pi\)
−0.951425 + 0.307881i \(0.900380\pi\)
\(398\) −3558.43 40996.0i −0.0224642 0.258807i
\(399\) 281336. 140282.i 1.76717 0.881164i
\(400\) 215450. 77750.2i 1.34656 0.485939i
\(401\) −249294. 90735.8i −1.55033 0.564274i −0.581834 0.813307i \(-0.697665\pi\)
−0.968495 + 0.249034i \(0.919887\pi\)
\(402\) 17213.7 + 64418.7i 0.106518 + 0.398620i
\(403\) 23237.9 27693.8i 0.143082 0.170519i
\(404\) 149996. 178262.i 0.919002 1.09219i
\(405\) −22080.7 + 125226.i −0.134618 + 0.763456i
\(406\) 179445. + 83826.1i 1.08863 + 0.508542i
\(407\) 130219. 75181.9i 0.786113 0.453863i
\(408\) 178885. + 256594.i 1.07462 + 1.54144i
\(409\) −76696.1 + 27915.1i −0.458487 + 0.166875i −0.560930 0.827863i \(-0.689556\pi\)
0.102443 + 0.994739i \(0.467334\pi\)
\(410\) −158727. 227016.i −0.944242 1.35048i
\(411\) 305569. + 176420.i 1.80895 + 1.04440i
\(412\) −29740.2 40.6969i −0.175206 0.000239754i
\(413\) 115210. 96672.6i 0.675445 0.566765i
\(414\) −97698.5 + 139325.i −0.570016 + 0.812883i
\(415\) 6535.08 1152.31i 0.0379450 0.00669073i
\(416\) 213100. 17909.4i 1.23139 0.103489i
\(417\) 375089. 2.15706
\(418\) 92805.7 170664.i 0.531156 0.976762i
\(419\) 16458.1i 0.0937459i 0.998901 + 0.0468730i \(0.0149256\pi\)
−0.998901 + 0.0468730i \(0.985074\pi\)
\(420\) 534790. + 95052.7i 3.03169 + 0.538847i
\(421\) −39272.7 222727.i −0.221578 1.25663i −0.869120 0.494602i \(-0.835314\pi\)
0.647542 0.762030i \(-0.275797\pi\)
\(422\) −79020.4 + 112689.i −0.443726 + 0.632784i
\(423\) −292687. 348811.i −1.63577 1.94944i
\(424\) −2568.77 30072.0i −0.0142888 0.167275i
\(425\) −157883. + 273462.i −0.874094 + 1.51398i
\(426\) −212936. 304547.i −1.17336 1.67817i
\(427\) −59636.1 163849.i −0.327080 0.898644i
\(428\) 162836. + 282933.i 0.888919 + 1.54453i
\(429\) −194541. 336956.i −1.05706 1.83087i
\(430\) −120359. 56224.6i −0.650941 0.304081i
\(431\) −231676. 40850.8i −1.24717 0.219910i −0.489186 0.872179i \(-0.662706\pi\)
−0.757988 + 0.652269i \(0.773817\pi\)
\(432\) 91290.4 + 53040.2i 0.489168 + 0.284209i
\(433\) 176919. + 148453.i 0.943622 + 0.791793i 0.978212 0.207608i \(-0.0665680\pi\)
−0.0345896 + 0.999402i \(0.511012\pi\)
\(434\) 11240.7 + 42066.1i 0.0596782 + 0.223333i
\(435\) −145392. + 399460.i −0.768353 + 2.11103i
\(436\) −121876. + 21318.0i −0.641127 + 0.112144i
\(437\) −15698.5 137737.i −0.0822045 0.721255i
\(438\) −15517.6 178776.i −0.0808866 0.931881i
\(439\) −5032.55 + 13826.8i −0.0261131 + 0.0717452i −0.952064 0.305898i \(-0.901043\pi\)
0.925951 + 0.377643i \(0.123265\pi\)
\(440\) 304495. 141228.i 1.57281 0.729485i
\(441\) 131814. + 110605.i 0.677771 + 0.568718i
\(442\) −208608. + 208322.i −1.06779 + 1.06633i
\(443\) −162062. 28575.9i −0.825799 0.145611i −0.255251 0.966875i \(-0.582158\pi\)
−0.570548 + 0.821264i \(0.693269\pi\)
\(444\) −232599. 85019.6i −1.17989 0.431274i
\(445\) 27356.0 + 47381.9i 0.138144 + 0.239272i
\(446\) −62624.5 134539.i −0.314829 0.676360i
\(447\) 3014.45 + 8282.15i 0.0150867 + 0.0414503i
\(448\) −129699. + 222530.i −0.646218 + 1.10875i
\(449\) 53477.6 92625.9i 0.265264 0.459451i −0.702368 0.711814i \(-0.747874\pi\)
0.967633 + 0.252362i \(0.0812074\pi\)
\(450\) −34825.2 + 394942.i −0.171976 + 1.95033i
\(451\) −153616. 183073.i −0.755239 0.900059i
\(452\) −186252. 107873.i −0.911640 0.528000i
\(453\) −4659.67 26426.3i −0.0227070 0.128778i
\(454\) 42240.9 157215.i 0.204938 0.762750i
\(455\) 511948.i 2.47288i
\(456\) −313660. + 63157.2i −1.50845 + 0.303734i
\(457\) 241889. 1.15820 0.579100 0.815257i \(-0.303404\pi\)
0.579100 + 0.815257i \(0.303404\pi\)
\(458\) 128995. + 34658.6i 0.614951 + 0.165227i
\(459\) −143341. + 25274.9i −0.680371 + 0.119968i
\(460\) 120046. 207270.i 0.567324 0.979537i
\(461\) −45648.5 + 38303.7i −0.214795 + 0.180235i −0.743837 0.668361i \(-0.766996\pi\)
0.529041 + 0.848596i \(0.322552\pi\)
\(462\) 466811. + 41162.5i 2.18704 + 0.192849i
\(463\) 254391. + 146873.i 1.18670 + 0.685140i 0.957555 0.288252i \(-0.0930741\pi\)
0.229144 + 0.973393i \(0.426407\pi\)
\(464\) −154062. 129994.i −0.715583 0.603791i
\(465\) −87819.0 + 31963.5i −0.406146 + 0.147825i
\(466\) −40933.0 + 19053.3i −0.188496 + 0.0877401i
\(467\) −61317.9 + 35401.9i −0.281160 + 0.162328i −0.633948 0.773375i \(-0.718567\pi\)
0.352789 + 0.935703i \(0.385233\pi\)
\(468\) −127080. + 347669.i −0.580211 + 1.58736i
\(469\) 13144.0 74543.4i 0.0597561 0.338894i
\(470\) 452898. + 453518.i 2.05024 + 2.05305i
\(471\) 220942. 263308.i 0.995947 1.18692i
\(472\) −138859. + 64404.4i −0.623290 + 0.289089i
\(473\) −107699. 39199.3i −0.481383 0.175209i
\(474\) 194916. 16918.5i 0.867542 0.0753020i
\(475\) −192135. 259635.i −0.851568 1.15074i
\(476\) −61180.8 349772.i −0.270023 1.54373i
\(477\) 49092.3 + 17868.1i 0.215763 + 0.0785312i
\(478\) 342687. 91571.4i 1.49983 0.400778i
\(479\) −119603. + 142537.i −0.521280 + 0.621237i −0.960883 0.276955i \(-0.910675\pi\)
0.439603 + 0.898192i \(0.355119\pi\)
\(480\) −500225. 235345.i −2.17111 1.02146i
\(481\) 40531.9 229868.i 0.175189 0.993546i
\(482\) −92879.6 + 198826.i −0.399785 + 0.855812i
\(483\) 289609. 167206.i 1.24142 0.716733i
\(484\) 47954.1 27598.9i 0.204708 0.117815i
\(485\) 13735.9 4999.47i 0.0583949 0.0212540i
\(486\) 257591. 180105.i 1.09058 0.762523i
\(487\) −209716. 121080.i −0.884249 0.510521i −0.0121916 0.999926i \(-0.503881\pi\)
−0.872057 + 0.489405i \(0.837214\pi\)
\(488\) 15103.9 + 176818.i 0.0634235 + 0.742484i
\(489\) 54751.3 45941.8i 0.228969 0.192128i
\(490\) −198308. 139059.i −0.825938 0.579170i
\(491\) 70159.0 12370.9i 0.291018 0.0513144i −0.0262331 0.999656i \(-0.508351\pi\)
0.317251 + 0.948341i \(0.397240\pi\)
\(492\) −68879.8 + 387535.i −0.284552 + 1.60096i
\(493\) 277894. 1.14337
\(494\) −110342. 280651.i −0.452155 1.15004i
\(495\) 581000.i 2.37119i
\(496\) 121.284 44315.5i 0.000492993 0.180133i
\(497\) 73252.3 + 415435.i 0.296557 + 1.68186i
\(498\) −7720.34 5413.71i −0.0311299 0.0218291i
\(499\) 123008. + 146595.i 0.494005 + 0.588733i 0.954231 0.299069i \(-0.0966761\pi\)
−0.460226 + 0.887802i \(0.652232\pi\)
\(500\) 230.218 168237.i 0.000920872 0.672949i
\(501\) −352730. + 610946.i −1.40529 + 2.43404i
\(502\) −291610. + 203890.i −1.15716 + 0.809076i
\(503\) −133759. 367499.i −0.528671 1.45251i −0.860636 0.509220i \(-0.829934\pi\)
0.331965 0.943292i \(-0.392288\pi\)
\(504\) −254972. 365734.i −1.00376 1.43981i
\(505\) −283816. 491584.i −1.11290 1.92759i
\(506\) 87462.1 187229.i 0.341601 0.731259i
\(507\) −205290. 36198.2i −0.798642 0.140822i
\(508\) 110655. + 93108.6i 0.428788 + 0.360797i
\(509\) 105828. + 88800.6i 0.408476 + 0.342752i 0.823759 0.566940i \(-0.191873\pi\)
−0.415283 + 0.909692i \(0.636317\pi\)
\(510\) 736284. 196747.i 2.83077 0.756428i
\(511\) −69672.2 + 191423.i −0.266819 + 0.733080i
\(512\) 186502. 184219.i 0.711448 0.702739i
\(513\) 34750.9 144772.i 0.132048 0.550112i
\(514\) 18927.7 1642.91i 0.0716427 0.00621853i
\(515\) −24783.3 + 68091.4i −0.0934424 + 0.256731i
\(516\) 64318.7 + 177469.i 0.241567 + 0.666536i
\(517\) 423597. + 355440.i 1.58479 + 1.32980i
\(518\) 198653. + 198925.i 0.740347 + 0.741361i
\(519\) −93590.6 16502.6i −0.347454 0.0612656i
\(520\) 135889. 503011.i 0.502547 1.86025i
\(521\) −97256.3 168453.i −0.358296 0.620587i 0.629380 0.777098i \(-0.283309\pi\)
−0.987676 + 0.156510i \(0.949976\pi\)
\(522\) 316331. 147244.i 1.16092 0.540378i
\(523\) 29739.6 + 81709.0i 0.108726 + 0.298722i 0.982109 0.188311i \(-0.0603014\pi\)
−0.873384 + 0.487033i \(0.838079\pi\)
\(524\) −206021. + 172393.i −0.750326 + 0.627850i
\(525\) 389578. 674768.i 1.41343 2.44814i
\(526\) −367572. 32411.8i −1.32853 0.117147i
\(527\) 39270.1 + 46800.2i 0.141397 + 0.168510i
\(528\) −447736. 164352.i −1.60603 0.589531i
\(529\) 22986.5 + 130363.i 0.0821415 + 0.465847i
\(530\) −71017.9 19081.3i −0.252823 0.0679291i
\(531\) 264953.i 0.939681i
\(532\) 353062. + 85259.7i 1.24746 + 0.301245i
\(533\) −370982. −1.30587
\(534\) 20172.8 75080.4i 0.0707430 0.263296i
\(535\) 783294. 138116.i 2.73664 0.482543i
\(536\) −32700.9 + 69753.2i −0.113823 + 0.242792i
\(537\) 261800. 219676.i 0.907865 0.761789i
\(538\) −7511.12 + 85181.2i −0.0259502 + 0.294292i
\(539\) −180967. 104481.i −0.622905 0.359634i
\(540\) 197286. 165083.i 0.676565 0.566130i
\(541\) −425227. + 154770.i −1.45287 + 0.528801i −0.943391 0.331683i \(-0.892384\pi\)
−0.509478 + 0.860484i \(0.670161\pi\)
\(542\) 5829.34 + 12523.4i 0.0198436 + 0.0426309i
\(543\) −46376.6 + 26775.5i −0.157289 + 0.0908110i
\(544\) −32728.7 + 359905.i −0.110594 + 1.21616i
\(545\) −52347.2 + 296876.i −0.176239 + 0.999498i
\(546\) 514740. 514036.i 1.72664 1.72428i
\(547\) 275593. 328439.i 0.921073 1.09769i −0.0738717 0.997268i \(-0.523536\pi\)
0.994945 0.100424i \(-0.0320200\pi\)
\(548\) 138903. + 383263.i 0.462541 + 1.27625i
\(549\) −288653. 105061.i −0.957706 0.348576i
\(550\) −41635.5 479675.i −0.137638 1.58570i
\(551\) −113337. + 260684.i −0.373309 + 0.858640i
\(552\) −328936. + 87414.9i −1.07953 + 0.286885i
\(553\) −208705. 75962.2i −0.682467 0.248398i
\(554\) 101501. + 379847.i 0.330714 + 1.23763i
\(555\) −387854. + 462226.i −1.25916 + 1.50061i
\(556\) 331593. + 279014.i 1.07265 + 0.902561i
\(557\) −67133.8 + 380735.i −0.216387 + 1.22719i 0.662097 + 0.749418i \(0.269667\pi\)
−0.878484 + 0.477772i \(0.841444\pi\)
\(558\) 69499.2 + 32465.9i 0.223209 + 0.104270i
\(559\) −154078. + 88957.0i −0.493080 + 0.284680i
\(560\) 402070. + 481840.i 1.28211 + 1.53648i
\(561\) 617865. 224884.i 1.96321 0.714552i
\(562\) 293032. + 419103.i 0.927775 + 1.32693i
\(563\) 180614. + 104277.i 0.569815 + 0.328983i 0.757076 0.653327i \(-0.226627\pi\)
−0.187260 + 0.982310i \(0.559961\pi\)
\(564\) 1246.26 910737.i 0.00391789 2.86309i
\(565\) −401726. + 337088.i −1.25844 + 1.05596i
\(566\) −87451.7 + 124712.i −0.272983 + 0.389293i
\(567\) −201996. + 35617.4i −0.628315 + 0.110789i
\(568\) 38297.1 427626.i 0.118705 1.32546i
\(569\) −165446. −0.511013 −0.255507 0.966807i \(-0.582242\pi\)
−0.255507 + 0.966807i \(0.582242\pi\)
\(570\) −115725. + 770928.i −0.356187 + 2.37282i
\(571\) 196250.i 0.601918i −0.953637 0.300959i \(-0.902693\pi\)
0.953637 0.300959i \(-0.0973068\pi\)
\(572\) 78665.9 442594.i 0.240433 1.35274i
\(573\) −142058. 805654.i −0.432671 2.45380i
\(574\) 256537. 365839.i 0.778620 1.11037i
\(575\) −220853. 263203.i −0.667987 0.796076i
\(576\) 153443. + 427028.i 0.462490 + 1.28710i
\(577\) −24477.4 + 42396.0i −0.0735212 + 0.127343i −0.900442 0.434976i \(-0.856757\pi\)
0.826921 + 0.562318i \(0.190090\pi\)
\(578\) −94047.4 134509.i −0.281508 0.402622i
\(579\) −203860. 560101.i −0.608101 1.67074i
\(580\) −425675. + 244987.i −1.26538 + 0.728262i
\(581\) 5352.04 + 9270.00i 0.0158550 + 0.0274617i
\(582\) −18818.7 8790.99i −0.0555577 0.0259533i
\(583\) −62480.0 11016.9i −0.183825 0.0324133i
\(584\) 119266. 169588.i 0.349697 0.497243i
\(585\) 690897. + 579731.i 2.01884 + 1.69401i
\(586\) −141848. 530836.i −0.413074 1.54584i
\(587\) −61565.6 + 169150.i −0.178674 + 0.490903i −0.996407 0.0846947i \(-0.973009\pi\)
0.817733 + 0.575598i \(0.195231\pi\)
\(588\) 59299.3 + 339015.i 0.171512 + 0.980539i
\(589\) −59917.9 + 17751.0i −0.172713 + 0.0511672i
\(590\) 32250.2 + 371549.i 0.0926464 + 1.06736i
\(591\) 44461.7 122157.i 0.127295 0.349740i
\(592\) −142384. 248182.i −0.406272 0.708152i
\(593\) −198342. 166429.i −0.564035 0.473282i 0.315625 0.948884i \(-0.397786\pi\)
−0.879660 + 0.475602i \(0.842230\pi\)
\(594\) 157041. 156826.i 0.445082 0.444473i
\(595\) −852006. 150232.i −2.40663 0.424353i
\(596\) −3495.87 + 9564.08i −0.00984153 + 0.0269247i
\(597\) 71233.6 + 123380.i 0.199865 + 0.346176i
\(598\) −135372. 290826.i −0.378553 0.813261i
\(599\) 110959. + 304858.i 0.309250 + 0.849658i 0.992803 + 0.119757i \(0.0382116\pi\)
−0.683553 + 0.729901i \(0.739566\pi\)
\(600\) −561884. + 559582.i −1.56079 + 1.55439i
\(601\) −260677. + 451507.i −0.721696 + 1.25001i 0.238623 + 0.971112i \(0.423304\pi\)
−0.960319 + 0.278902i \(0.910029\pi\)
\(602\) 18822.2 213456.i 0.0519370 0.589001i
\(603\) −85715.3 102152.i −0.235735 0.280938i
\(604\) 15538.2 26828.1i 0.0425918 0.0735386i
\(605\) −23409.1 132760.i −0.0639551 0.362707i
\(606\) −209291. + 778953.i −0.569909 + 2.12112i
\(607\) 128136.i 0.347770i −0.984766 0.173885i \(-0.944368\pi\)
0.984766 0.173885i \(-0.0556321\pi\)
\(608\) −324268. 177486.i −0.877198 0.480129i
\(609\) −685705. −1.84885
\(610\) 417573. + 112194.i 1.12221 + 0.301517i
\(611\) 845343. 149057.i 2.26439 0.399273i
\(612\) −541314. 313516.i −1.44526 0.837061i
\(613\) 227539. 190928.i 0.605530 0.508100i −0.287688 0.957724i \(-0.592887\pi\)
0.893218 + 0.449624i \(0.148442\pi\)
\(614\) −577262. 50901.9i −1.53121 0.135020i
\(615\) 830535. + 479510.i 2.19588 + 1.26779i
\(616\) 382060. + 383632.i 1.00686 + 1.01100i
\(617\) −508551. + 185098.i −1.33587 + 0.486217i −0.908510 0.417864i \(-0.862779\pi\)
−0.427361 + 0.904081i \(0.640557\pi\)
\(618\) 93347.2 43450.8i 0.244413 0.113768i
\(619\) −184164. + 106327.i −0.480645 + 0.277500i −0.720685 0.693263i \(-0.756173\pi\)
0.240040 + 0.970763i \(0.422839\pi\)
\(620\) −101412. 37068.2i −0.263819 0.0964312i
\(621\) 27501.7 155970.i 0.0713144 0.404444i
\(622\) 201682. + 201958.i 0.521298 + 0.522012i
\(623\) −56728.2 + 67606.0i −0.146158 + 0.174184i
\(624\) −642198. + 368433.i −1.64930 + 0.946215i
\(625\) 140292. + 51062.2i 0.359148 + 0.130719i
\(626\) −759986. + 65966.2i −1.93935 + 0.168334i
\(627\) −41033.8 + 671318.i −0.104378 + 1.70763i
\(628\) 391186. 68424.9i 0.991892 0.173498i
\(629\) 370662. + 134910.i 0.936864 + 0.340991i
\(630\) −1.04945e6 + 280431.i −2.64413 + 0.706553i
\(631\) −187868. + 223892.i −0.471839 + 0.562316i −0.948502 0.316770i \(-0.897402\pi\)
0.476663 + 0.879086i \(0.341846\pi\)
\(632\) 184898. + 130034.i 0.462912 + 0.325553i
\(633\) 82744.1 469265.i 0.206505 1.17115i
\(634\) 62123.9 132988.i 0.154554 0.330851i
\(635\) 305146. 176176.i 0.756765 0.436918i
\(636\) 52122.3 + 90564.4i 0.128857 + 0.223895i
\(637\) −304816. + 110944.i −0.751206 + 0.273417i
\(638\) −347266. + 242805.i −0.853142 + 0.596507i
\(639\) 643599. + 371582.i 1.57621 + 0.910024i
\(640\) −267154. 580152.i −0.652232 1.41639i
\(641\) 486043. 407838.i 1.18293 0.992595i 0.182973 0.983118i \(-0.441428\pi\)
0.999955 0.00947679i \(-0.00301660\pi\)
\(642\) −925358. 648887.i −2.24512 1.57434i
\(643\) 150280. 26498.4i 0.363478 0.0640910i 0.0110735 0.999939i \(-0.496475\pi\)
0.352405 + 0.935848i \(0.385364\pi\)
\(644\) 380404. + 67612.4i 0.917220 + 0.163025i
\(645\) 459922. 1.10552
\(646\) 499452. 101279.i 1.19682 0.242691i
\(647\) 331762.i 0.792535i −0.918135 0.396267i \(-0.870305\pi\)
0.918135 0.396267i \(-0.129695\pi\)
\(648\) 207925. + 18621.2i 0.495172 + 0.0443463i
\(649\) 55873.0 + 316872.i 0.132652 + 0.752305i
\(650\) −611951. 429117.i −1.44841 1.01566i
\(651\) −96899.1 115480.i −0.228643 0.272486i
\(652\) 82576.7 + 112.999i 0.194251 + 0.000265815i
\(653\) 98871.1 171250.i 0.231869 0.401609i −0.726489 0.687178i \(-0.758849\pi\)
0.958358 + 0.285569i \(0.0921825\pi\)
\(654\) 351056. 245454.i 0.820769 0.573872i
\(655\) 223859. + 615048.i 0.521786 + 1.43359i
\(656\) −349165. + 291359.i −0.811377 + 0.677051i
\(657\) 179437. + 310793.i 0.415700 + 0.720014i
\(658\) −437570. + 936697.i −1.01064 + 2.16345i
\(659\) −35676.2 6290.67i −0.0821500 0.0144853i 0.132422 0.991193i \(-0.457725\pi\)
−0.214572 + 0.976708i \(0.568836\pi\)
\(660\) −748183. + 889176.i −1.71759 + 2.04127i
\(661\) 291515. + 244611.i 0.667204 + 0.559851i 0.912236 0.409664i \(-0.134354\pi\)
−0.245032 + 0.969515i \(0.578799\pi\)
\(662\) −153201. + 40937.8i −0.349580 + 0.0934133i
\(663\) 349094. 959128.i 0.794174 2.18197i
\(664\) −2798.03 10528.8i −0.00634624 0.0238805i
\(665\) 488412. 737971.i 1.10444 1.66877i
\(666\) 493413. 42827.9i 1.11240 0.0965558i
\(667\) −103419. + 284142.i −0.232461 + 0.638680i
\(668\) −766286. + 277718.i −1.71727 + 0.622375i
\(669\) 393578. + 330251.i 0.879384 + 0.737890i
\(670\) 132634. + 132816.i 0.295465 + 0.295870i
\(671\) 367371. + 64777.4i 0.815943 + 0.143873i
\(672\) 80758.2 888068.i 0.178833 1.96656i
\(673\) −171479. 297010.i −0.378600 0.655754i 0.612259 0.790657i \(-0.290261\pi\)
−0.990859 + 0.134903i \(0.956928\pi\)
\(674\) 367838. 171219.i 0.809723 0.376906i
\(675\) −126207. 346751.i −0.276998 0.761045i
\(676\) −154558. 184708.i −0.338219 0.404196i
\(677\) 268329. 464759.i 0.585450 1.01403i −0.409369 0.912369i \(-0.634251\pi\)
0.994819 0.101660i \(-0.0324154\pi\)
\(678\) 742291. + 65453.8i 1.61479 + 0.142389i
\(679\) 15156.2 + 18062.4i 0.0328738 + 0.0391775i
\(680\) 797256. + 373761.i 1.72417 + 0.808307i
\(681\) 97868.5 + 555040.i 0.211032 + 1.19682i
\(682\) −89964.2 24171.8i −0.193420 0.0519685i
\(683\) 284151.i 0.609128i −0.952492 0.304564i \(-0.901489\pi\)
0.952492 0.304564i \(-0.0985107\pi\)
\(684\) 514871. 379926.i 1.10049 0.812057i
\(685\) 993249. 2.11679
\(686\) −55330.5 + 205932.i −0.117575 + 0.437599i
\(687\) −455409. + 80301.0i −0.964914 + 0.170140i
\(688\) −75152.3 + 204734.i −0.158769 + 0.432527i
\(689\) −75444.4 + 63305.4i −0.158924 + 0.133353i
\(690\) −72840.2 + 826058.i −0.152994 + 1.73505i
\(691\) −275109. 158834.i −0.576168 0.332651i 0.183441 0.983031i \(-0.441276\pi\)
−0.759609 + 0.650380i \(0.774610\pi\)
\(692\) −70462.2 84207.3i −0.147145 0.175848i
\(693\) −880666. + 320536.i −1.83377 + 0.667438i
\(694\) −164286. 352942.i −0.341099 0.732798i
\(695\) 914417. 527939.i 1.89311 1.09298i
\(696\) 673735. + 182010.i 1.39082 + 0.375730i
\(697\) 108865. 617405.i 0.224090 1.27088i
\(698\) −867.384 + 866.198i −0.00178033 + 0.00177790i
\(699\) 100478. 119745.i 0.205644 0.245077i
\(700\) 846336. 306730.i 1.72722 0.625980i
\(701\) 137074. + 49890.9i 0.278946 + 0.101528i 0.477705 0.878520i \(-0.341469\pi\)
−0.198759 + 0.980048i \(0.563691\pi\)
\(702\) −29792.1 343229.i −0.0604542 0.696482i
\(703\) −277726. + 292685.i −0.561962 + 0.592229i
\(704\) −273562. 478347.i −0.551963 0.965157i
\(705\) −2.08517e6 758940.i −4.19530 1.52697i
\(706\) −223871. 837792.i −0.449148 1.68084i
\(707\) 588551. 701408.i 1.17746 1.40324i
\(708\) 341194. 405491.i 0.680667 0.808937i
\(709\) 100600. 570530.i 0.200126 1.13497i −0.704800 0.709406i \(-0.748963\pi\)
0.904927 0.425568i \(-0.139926\pi\)
\(710\) −947761. 442738.i −1.88010 0.878274i
\(711\) −338852. + 195636.i −0.670303 + 0.386999i
\(712\) 73682.9 51368.3i 0.145347 0.101329i
\(713\) −62467.0 + 22736.1i −0.122877 + 0.0447236i
\(714\) 704430. + 1.00750e6i 1.38179 + 1.97628i
\(715\) −948533. 547636.i −1.85541 1.07122i
\(716\) 394851. + 540.319i 0.770206 + 0.00105396i
\(717\) −940742. + 789377.i −1.82992 + 1.53549i
\(718\) −415308. + 592258.i −0.805604 + 1.14885i
\(719\) −180904. + 31898.2i −0.349937 + 0.0617033i −0.345854 0.938288i \(-0.612411\pi\)
−0.00408298 + 0.999992i \(0.501300\pi\)
\(720\) 1.10557e6 + 3025.76i 2.13266 + 0.00583673i
\(721\) −116884. −0.224846
\(722\) −108691. + 509827.i −0.208506 + 0.978021i
\(723\) 759763.i 1.45346i
\(724\) −60916.0 10827.1i −0.116213 0.0206555i
\(725\) 122338. + 693814.i 0.232748 + 1.31998i
\(726\) −109979. + 156838.i −0.208659 + 0.297563i
\(727\) 324694. + 386956.i 0.614336 + 0.732137i 0.980085 0.198576i \(-0.0636317\pi\)
−0.365749 + 0.930713i \(0.619187\pi\)
\(728\) 837422. 71533.2i 1.58009 0.134972i
\(729\) −411988. + 713583.i −0.775227 + 1.34273i
\(730\) −289457. 413991.i −0.543174 0.776864i
\(731\) −102832. 282528.i −0.192439 0.528721i
\(732\) −306470. 532502.i −0.571959 0.993801i
\(733\) 286125. + 495582.i 0.532534 + 0.922376i 0.999278 + 0.0379836i \(0.0120935\pi\)
−0.466744 + 0.884392i \(0.654573\pi\)
\(734\) −575264. 268729.i −1.06776 0.498796i
\(735\) 825805. + 145612.i 1.52863 + 0.269539i
\(736\) −355817. 167405.i −0.656858 0.309038i
\(737\) 124053. + 104093.i 0.228388 + 0.191640i
\(738\) −203214. 760485.i −0.373113 1.39630i
\(739\) −177299. + 487126.i −0.324652 + 0.891975i 0.664788 + 0.747032i \(0.268522\pi\)
−0.989440 + 0.144943i \(0.953700\pi\)
\(740\) −686710. + 120117.i −1.25404 + 0.219351i
\(741\) 757355. + 718648.i 1.37931 + 1.30882i
\(742\) −10257.5 118174.i −0.0186308 0.214643i
\(743\) 321373. 882966.i 0.582146 1.59943i −0.202359 0.979311i \(-0.564861\pi\)
0.784505 0.620123i \(-0.212917\pi\)
\(744\) 64555.3 + 139184.i 0.116623 + 0.251446i
\(745\) 19006.0 + 15947.9i 0.0342435 + 0.0287337i
\(746\) 285626. 285235.i 0.513239 0.512537i
\(747\) 18570.9 + 3274.56i 0.0332807 + 0.00586829i
\(748\) 713500. + 260799.i 1.27524 + 0.466125i
\(749\) 641494. + 1.11110e6i 1.14348 + 1.98057i
\(750\) 245797. + 528056.i 0.436972 + 0.938766i
\(751\) 63578.9 + 174682.i 0.112728 + 0.309719i 0.983209 0.182485i \(-0.0584140\pi\)
−0.870480 + 0.492203i \(0.836192\pi\)
\(752\) 678563. 804200.i 1.19993 1.42209i
\(753\) 615947. 1.06685e6i 1.08631 1.88154i
\(754\) −57776.7 + 655227.i −0.101627 + 1.15252i
\(755\) −48554.8 57865.4i −0.0851801 0.101514i
\(756\) 359072. + 207966.i 0.628258 + 0.363872i
\(757\) −155855. 883899.i −0.271975 1.54245i −0.748408 0.663239i \(-0.769181\pi\)
0.476433 0.879211i \(-0.341930\pi\)
\(758\) 83001.2 308919.i 0.144459 0.537658i
\(759\) 715448.i 1.24192i
\(760\) −675769. + 595447.i −1.16996 + 1.03090i
\(761\) −406897. −0.702611 −0.351306 0.936261i \(-0.614262\pi\)
−0.351306 + 0.936261i \(0.614262\pi\)
\(762\) −483529. 129916.i −0.832745 0.223744i
\(763\) −478878. + 84439.1i −0.822575 + 0.145042i
\(764\) 473709. 817901.i 0.811568 1.40125i
\(765\) −1.16756e6 + 979698.i −1.99506 + 1.67405i
\(766\) 622557. + 54895.9i 1.06102 + 0.0935584i
\(767\) 432559. + 249738.i 0.735284 + 0.424516i
\(768\) −315073. + 851130.i −0.534181 + 1.44302i
\(769\) −750250. + 273069.i −1.26868 + 0.461763i −0.886674 0.462395i \(-0.846990\pi\)
−0.382010 + 0.924158i \(0.624768\pi\)
\(770\) 1.19596e6 556689.i 2.01714 0.938926i
\(771\) −56964.1 +