Properties

Label 33.6.f.a.2.14
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 2.14
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.97194 - 6.06902i) q^{2} +(15.5882 + 0.0966769i) q^{3} +(-7.05585 - 5.12637i) q^{4} +(59.6930 - 19.3954i) q^{5} +(31.3257 - 94.4141i) q^{6} +(-97.0552 + 133.585i) q^{7} +(120.178 - 87.3143i) q^{8} +(242.981 + 3.01403i) q^{9} +O(q^{10})\) \(q+(1.97194 - 6.06902i) q^{2} +(15.5882 + 0.0966769i) q^{3} +(-7.05585 - 5.12637i) q^{4} +(59.6930 - 19.3954i) q^{5} +(31.3257 - 94.4141i) q^{6} +(-97.0552 + 133.585i) q^{7} +(120.178 - 87.3143i) q^{8} +(242.981 + 3.01403i) q^{9} -400.525i q^{10} +(-390.430 - 92.8174i) q^{11} +(-109.492 - 80.5928i) q^{12} +(-1021.69 - 331.966i) q^{13} +(619.342 + 852.451i) q^{14} +(932.380 - 296.568i) q^{15} +(-379.171 - 1166.97i) q^{16} +(-77.1051 - 237.305i) q^{17} +(497.437 - 1468.71i) q^{18} +(1751.76 + 2411.09i) q^{19} +(-520.613 - 169.157i) q^{20} +(-1525.83 + 2072.96i) q^{21} +(-1333.22 + 2186.50i) q^{22} +1763.53i q^{23} +(1881.79 - 1349.45i) q^{24} +(658.898 - 478.717i) q^{25} +(-4029.41 + 5546.01i) q^{26} +(3787.34 + 70.4738i) q^{27} +(1369.61 - 445.014i) q^{28} +(-2059.70 - 1496.46i) q^{29} +(38.7215 - 6243.44i) q^{30} +(547.442 - 1684.85i) q^{31} -3076.52 q^{32} +(-6077.12 - 1484.60i) q^{33} -1592.25 q^{34} +(-3202.58 + 9856.52i) q^{35} +(-1698.99 - 1266.88i) q^{36} +(1794.75 + 1303.96i) q^{37} +(18087.3 - 5876.92i) q^{38} +(-15894.1 - 5273.51i) q^{39} +(5480.28 - 7542.96i) q^{40} +(-69.9620 + 50.8304i) q^{41} +(9571.99 + 13348.0i) q^{42} +461.539i q^{43} +(2279.00 + 2656.40i) q^{44} +(14562.8 - 4532.81i) q^{45} +(10702.9 + 3477.58i) q^{46} +(-9135.16 - 12573.5i) q^{47} +(-5797.76 - 18227.5i) q^{48} +(-3231.60 - 9945.83i) q^{49} +(-1606.03 - 4942.86i) q^{50} +(-1178.98 - 3706.60i) q^{51} +(5507.08 + 7579.84i) q^{52} +(10804.7 + 3510.66i) q^{53} +(7896.12 - 22846.5i) q^{54} +(-25106.2 + 2032.02i) q^{55} +24528.3i q^{56} +(27073.6 + 37753.8i) q^{57} +(-13143.7 + 9549.43i) q^{58} +(8500.25 - 11699.6i) q^{59} +(-8099.05 - 2687.18i) q^{60} +(-25093.2 + 8153.27i) q^{61} +(-9145.87 - 6644.86i) q^{62} +(-23985.2 + 32166.1i) q^{63} +(6066.76 - 18671.6i) q^{64} -67426.2 q^{65} +(-20993.8 + 33954.6i) q^{66} -16712.0 q^{67} +(-672.472 + 2069.66i) q^{68} +(-170.493 + 27490.2i) q^{69} +(53504.1 + 38873.0i) q^{70} +(54633.9 - 17751.6i) q^{71} +(29464.1 - 20853.5i) q^{72} +(5083.88 - 6997.36i) q^{73} +(11452.9 - 8321.02i) q^{74} +(10317.3 - 7398.62i) q^{75} -25992.4i q^{76} +(50292.3 - 43147.2i) q^{77} +(-63347.3 + 86062.5i) q^{78} +(2618.63 + 850.844i) q^{79} +(-45267.8 - 62305.7i) q^{80} +(59030.8 + 1464.71i) q^{81} +(170.529 + 524.835i) q^{82} +(10500.4 + 32316.9i) q^{83} +(21392.8 - 6804.54i) q^{84} +(-9205.27 - 12670.0i) q^{85} +(2801.09 + 910.129i) q^{86} +(-31962.3 - 23526.2i) q^{87} +(-55025.4 + 22935.6i) q^{88} -32577.0i q^{89} +(1207.19 - 97320.0i) q^{90} +(143506. - 104263. i) q^{91} +(9040.51 - 12443.2i) q^{92} +(8696.49 - 26210.8i) q^{93} +(-94322.5 + 30647.3i) q^{94} +(151332. + 109949. i) q^{95} +(-47957.3 - 297.428i) q^{96} +(-33674.6 + 103640. i) q^{97} -66733.9 q^{98} +(-94587.5 - 23729.7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.97194 6.06902i 0.348593 1.07286i −0.611038 0.791601i \(-0.709248\pi\)
0.959632 0.281259i \(-0.0907521\pi\)
\(3\) 15.5882 + 0.0966769i 0.999981 + 0.00620183i
\(4\) −7.05585 5.12637i −0.220495 0.160199i
\(5\) 59.6930 19.3954i 1.06782 0.346956i 0.278183 0.960528i \(-0.410268\pi\)
0.789639 + 0.613572i \(0.210268\pi\)
\(6\) 31.3257 94.4141i 0.355240 1.07068i
\(7\) −97.0552 + 133.585i −0.748641 + 1.03042i 0.249434 + 0.968392i \(0.419756\pi\)
−0.998075 + 0.0620242i \(0.980244\pi\)
\(8\) 120.178 87.3143i 0.663895 0.482348i
\(9\) 242.981 + 3.01403i 0.999923 + 0.0124034i
\(10\) 400.525i 1.26657i
\(11\) −390.430 92.8174i −0.972886 0.231285i
\(12\) −109.492 80.5928i −0.219497 0.161564i
\(13\) −1021.69 331.966i −1.67671 0.544797i −0.692445 0.721471i \(-0.743466\pi\)
−0.984270 + 0.176673i \(0.943466\pi\)
\(14\) 619.342 + 852.451i 0.844521 + 1.16238i
\(15\) 932.380 296.568i 1.06995 0.340327i
\(16\) −379.171 1166.97i −0.370284 1.13962i
\(17\) −77.1051 237.305i −0.0647084 0.199152i 0.913475 0.406895i \(-0.133388\pi\)
−0.978184 + 0.207743i \(0.933388\pi\)
\(18\) 497.437 1468.71i 0.361874 1.06845i
\(19\) 1751.76 + 2411.09i 1.11324 + 1.53225i 0.816548 + 0.577277i \(0.195885\pi\)
0.296696 + 0.954972i \(0.404115\pi\)
\(20\) −520.613 169.157i −0.291032 0.0945619i
\(21\) −1525.83 + 2072.96i −0.755017 + 1.02575i
\(22\) −1333.22 + 2186.50i −0.587278 + 0.963146i
\(23\) 1763.53i 0.695126i 0.937657 + 0.347563i \(0.112991\pi\)
−0.937657 + 0.347563i \(0.887009\pi\)
\(24\) 1881.79 1349.45i 0.666874 0.478221i
\(25\) 658.898 478.717i 0.210847 0.153189i
\(26\) −4029.41 + 5546.01i −1.16898 + 1.60897i
\(27\) 3787.34 + 70.4738i 0.999827 + 0.0186045i
\(28\) 1369.61 445.014i 0.330143 0.107270i
\(29\) −2059.70 1496.46i −0.454789 0.330423i 0.336695 0.941614i \(-0.390691\pi\)
−0.791484 + 0.611191i \(0.790691\pi\)
\(30\) 38.7215 6243.44i 0.00785505 1.26655i
\(31\) 547.442 1684.85i 0.102314 0.314889i −0.886777 0.462198i \(-0.847061\pi\)
0.989091 + 0.147309i \(0.0470610\pi\)
\(32\) −3076.52 −0.531110
\(33\) −6077.12 1484.60i −0.971433 0.237314i
\(34\) −1592.25 −0.236219
\(35\) −3202.58 + 9856.52i −0.441906 + 1.36005i
\(36\) −1698.99 1266.88i −0.218491 0.162922i
\(37\) 1794.75 + 1303.96i 0.215526 + 0.156589i 0.690310 0.723513i \(-0.257474\pi\)
−0.474784 + 0.880102i \(0.657474\pi\)
\(38\) 18087.3 5876.92i 2.03196 0.660223i
\(39\) −15894.1 5273.51i −1.67330 0.555186i
\(40\) 5480.28 7542.96i 0.541568 0.745404i
\(41\) −69.9620 + 50.8304i −0.00649984 + 0.00472241i −0.591030 0.806649i \(-0.701279\pi\)
0.584531 + 0.811372i \(0.301279\pi\)
\(42\) 9571.99 + 13348.0i 0.837296 + 1.16760i
\(43\) 461.539i 0.0380660i 0.999819 + 0.0190330i \(0.00605876\pi\)
−0.999819 + 0.0190330i \(0.993941\pi\)
\(44\) 2279.00 + 2656.40i 0.177465 + 0.206853i
\(45\) 14562.8 4532.81i 1.07204 0.333685i
\(46\) 10702.9 + 3477.58i 0.745773 + 0.242316i
\(47\) −9135.16 12573.5i −0.603214 0.830253i 0.392784 0.919631i \(-0.371512\pi\)
−0.995998 + 0.0893782i \(0.971512\pi\)
\(48\) −5797.76 18227.5i −0.363209 1.14189i
\(49\) −3231.60 9945.83i −0.192277 0.591767i
\(50\) −1606.03 4942.86i −0.0908510 0.279611i
\(51\) −1178.98 3706.60i −0.0634720 0.199549i
\(52\) 5507.08 + 7579.84i 0.282431 + 0.388733i
\(53\) 10804.7 + 3510.66i 0.528352 + 0.171672i 0.561032 0.827794i \(-0.310404\pi\)
−0.0326806 + 0.999466i \(0.510404\pi\)
\(54\) 7896.12 22846.5i 0.368493 1.06619i
\(55\) −25106.2 + 2032.02i −1.11911 + 0.0905777i
\(56\) 24528.3i 1.04519i
\(57\) 27073.6 + 37753.8i 1.10372 + 1.53912i
\(58\) −13143.7 + 9549.43i −0.513034 + 0.372741i
\(59\) 8500.25 11699.6i 0.317908 0.437563i −0.619919 0.784666i \(-0.712835\pi\)
0.937827 + 0.347103i \(0.112835\pi\)
\(60\) −8099.05 2687.18i −0.290440 0.0963650i
\(61\) −25093.2 + 8153.27i −0.863438 + 0.280548i −0.707064 0.707150i \(-0.749981\pi\)
−0.156374 + 0.987698i \(0.549981\pi\)
\(62\) −9145.87 6644.86i −0.302166 0.219537i
\(63\) −23985.2 + 32166.1i −0.761364 + 1.02105i
\(64\) 6066.76 18671.6i 0.185143 0.569811i
\(65\) −67426.2 −1.97945
\(66\) −20993.8 + 33954.6i −0.593240 + 0.959486i
\(67\) −16712.0 −0.454823 −0.227411 0.973799i \(-0.573026\pi\)
−0.227411 + 0.973799i \(0.573026\pi\)
\(68\) −672.472 + 2069.66i −0.0176361 + 0.0542783i
\(69\) −170.493 + 27490.2i −0.00431105 + 0.695112i
\(70\) 53504.1 + 38873.0i 1.30509 + 0.948207i
\(71\) 54633.9 17751.6i 1.28622 0.417919i 0.415455 0.909614i \(-0.363622\pi\)
0.870768 + 0.491695i \(0.163622\pi\)
\(72\) 29464.1 20853.5i 0.669827 0.474076i
\(73\) 5083.88 6997.36i 0.111658 0.153683i −0.749531 0.661970i \(-0.769721\pi\)
0.861188 + 0.508286i \(0.169721\pi\)
\(74\) 11452.9 8321.02i 0.243129 0.176643i
\(75\) 10317.3 7398.62i 0.211793 0.151879i
\(76\) 25992.4i 0.516194i
\(77\) 50292.3 43147.2i 0.966662 0.829328i
\(78\) −63347.3 + 86062.5i −1.17894 + 1.60169i
\(79\) 2618.63 + 850.844i 0.0472070 + 0.0153385i 0.332525 0.943094i \(-0.392099\pi\)
−0.285318 + 0.958433i \(0.592099\pi\)
\(80\) −45267.8 62305.7i −0.790795 1.08844i
\(81\) 59030.8 + 1464.71i 0.999692 + 0.0248049i
\(82\) 170.529 + 524.835i 0.00280069 + 0.00861963i
\(83\) 10500.4 + 32316.9i 0.167306 + 0.514914i 0.999199 0.0400220i \(-0.0127428\pi\)
−0.831893 + 0.554936i \(0.812743\pi\)
\(84\) 21392.8 6804.54i 0.330802 0.105221i
\(85\) −9205.27 12670.0i −0.138194 0.190208i
\(86\) 2801.09 + 910.129i 0.0408395 + 0.0132696i
\(87\) −31962.3 23526.2i −0.452731 0.333237i
\(88\) −55025.4 + 22935.6i −0.757454 + 0.315721i
\(89\) 32577.0i 0.435949i −0.975954 0.217974i \(-0.930055\pi\)
0.975954 0.217974i \(-0.0699449\pi\)
\(90\) 1207.19 97320.0i 0.0157098 1.26647i
\(91\) 143506. 104263.i 1.81663 1.31986i
\(92\) 9040.51 12443.2i 0.111359 0.153272i
\(93\) 8696.49 26210.8i 0.104265 0.314249i
\(94\) −94322.5 + 30647.3i −1.10102 + 0.357744i
\(95\) 151332. + 109949.i 1.72037 + 1.24992i
\(96\) −47957.3 297.428i −0.531100 0.00329385i
\(97\) −33674.6 + 103640.i −0.363390 + 1.11840i 0.587593 + 0.809157i \(0.300076\pi\)
−0.950983 + 0.309243i \(0.899924\pi\)
\(98\) −66733.9 −0.701910
\(99\) −94587.5 23729.7i −0.969942 0.243334i
\(100\) −7103.16 −0.0710316
\(101\) 56617.1 174249.i 0.552260 1.69968i −0.150810 0.988563i \(-0.548188\pi\)
0.703071 0.711120i \(-0.251812\pi\)
\(102\) −24820.3 153.934i −0.236215 0.00146499i
\(103\) −17549.4 12750.4i −0.162993 0.118421i 0.503299 0.864112i \(-0.332120\pi\)
−0.666292 + 0.745691i \(0.732120\pi\)
\(104\) −151769. + 49312.9i −1.37594 + 0.447071i
\(105\) −50875.2 + 153335.i −0.450332 + 1.35728i
\(106\) 42612.5 58651.1i 0.368360 0.507004i
\(107\) 22726.0 16511.4i 0.191895 0.139420i −0.487690 0.873017i \(-0.662160\pi\)
0.679584 + 0.733597i \(0.262160\pi\)
\(108\) −26361.6 19912.6i −0.217477 0.164274i
\(109\) 142926.i 1.15224i −0.817363 0.576122i \(-0.804565\pi\)
0.817363 0.576122i \(-0.195435\pi\)
\(110\) −37175.7 + 156377.i −0.292939 + 1.23223i
\(111\) 27850.8 + 20499.9i 0.214551 + 0.157922i
\(112\) 192690. + 62608.8i 1.45149 + 0.471618i
\(113\) −4106.24 5651.75i −0.0302516 0.0416377i 0.793623 0.608409i \(-0.208192\pi\)
−0.823875 + 0.566772i \(0.808192\pi\)
\(114\) 282516. 89861.8i 2.03601 0.647609i
\(115\) 34204.5 + 105270.i 0.241178 + 0.742270i
\(116\) 6861.53 + 21117.6i 0.0473452 + 0.145713i
\(117\) −247250. 83740.9i −1.66983 0.565553i
\(118\) −54243.0 74659.0i −0.358623 0.493603i
\(119\) 39183.8 + 12731.6i 0.253653 + 0.0824168i
\(120\) 86156.7 117051.i 0.546180 0.742031i
\(121\) 143821. + 72477.5i 0.893014 + 0.450028i
\(122\) 168369.i 1.02415i
\(123\) −1095.49 + 785.588i −0.00652900 + 0.00468201i
\(124\) −12499.8 + 9081.67i −0.0730046 + 0.0530410i
\(125\) −85241.9 + 117325.i −0.487953 + 0.671609i
\(126\) 147919. + 208996.i 0.830039 + 1.17277i
\(127\) 94688.8 30766.3i 0.520942 0.169264i −0.0367308 0.999325i \(-0.511694\pi\)
0.557673 + 0.830061i \(0.311694\pi\)
\(128\) −181001. 131505.i −0.976465 0.709443i
\(129\) −44.6202 + 7194.55i −0.000236079 + 0.0380653i
\(130\) −132961. + 409210.i −0.690024 + 2.12368i
\(131\) −149193. −0.759572 −0.379786 0.925074i \(-0.624002\pi\)
−0.379786 + 0.925074i \(0.624002\pi\)
\(132\) 35268.6 + 41628.7i 0.176179 + 0.207949i
\(133\) −492103. −2.41227
\(134\) −32955.2 + 101426.i −0.158548 + 0.487961i
\(135\) 227445. 69250.3i 1.07409 0.327030i
\(136\) −29986.4 21786.4i −0.139020 0.101004i
\(137\) −181680. + 59031.3i −0.826999 + 0.268708i −0.691781 0.722107i \(-0.743174\pi\)
−0.135218 + 0.990816i \(0.543174\pi\)
\(138\) 166502. + 55243.8i 0.744256 + 0.246937i
\(139\) 79020.3 108762.i 0.346898 0.477464i −0.599542 0.800343i \(-0.704651\pi\)
0.946440 + 0.322879i \(0.104651\pi\)
\(140\) 73125.1 53128.5i 0.315316 0.229091i
\(141\) −141185. 196880.i −0.598053 0.833978i
\(142\) 366579.i 1.52562i
\(143\) 368085. + 224440.i 1.50525 + 0.917825i
\(144\) −88614.2 284694.i −0.356121 1.14412i
\(145\) −151974. 49379.5i −0.600276 0.195041i
\(146\) −32442.0 44652.5i −0.125958 0.173366i
\(147\) −49413.1 155350.i −0.188603 0.592948i
\(148\) −5978.88 18401.1i −0.0224370 0.0690541i
\(149\) 3440.17 + 10587.8i 0.0126945 + 0.0390696i 0.957203 0.289417i \(-0.0934614\pi\)
−0.944509 + 0.328487i \(0.893461\pi\)
\(150\) −24557.2 77205.4i −0.0891151 0.280169i
\(151\) 196702. + 270737.i 0.702047 + 0.966284i 0.999932 + 0.0116825i \(0.00371873\pi\)
−0.297885 + 0.954602i \(0.596281\pi\)
\(152\) 421045. + 136806.i 1.47815 + 0.480282i
\(153\) −18019.8 57893.1i −0.0622332 0.199939i
\(154\) −162688. 390309.i −0.552781 1.32619i
\(155\) 111192.i 0.371744i
\(156\) 85112.4 + 118688.i 0.280015 + 0.390477i
\(157\) −236081. + 171523.i −0.764385 + 0.555358i −0.900252 0.435369i \(-0.856618\pi\)
0.135867 + 0.990727i \(0.456618\pi\)
\(158\) 10327.6 14214.7i 0.0329121 0.0452996i
\(159\) 168086. + 55769.3i 0.527277 + 0.174945i
\(160\) −183647. + 59670.4i −0.567131 + 0.184272i
\(161\) −235581. 171160.i −0.716269 0.520400i
\(162\) 125295. 355371.i 0.375098 1.06388i
\(163\) 153636. 472844.i 0.452924 1.39396i −0.420632 0.907231i \(-0.638192\pi\)
0.873556 0.486725i \(-0.161808\pi\)
\(164\) 754.217 0.00218971
\(165\) −391556. + 29248.2i −1.11965 + 0.0836354i
\(166\) 216838. 0.610752
\(167\) 182773. 562519.i 0.507133 1.56079i −0.290022 0.957020i \(-0.593663\pi\)
0.797155 0.603775i \(-0.206337\pi\)
\(168\) −2371.32 + 382351.i −0.00648211 + 1.04517i
\(169\) 633259. + 460089.i 1.70555 + 1.23915i
\(170\) −95046.5 + 30882.5i −0.252240 + 0.0819577i
\(171\) 418378. + 591130.i 1.09415 + 1.54594i
\(172\) 2366.02 3256.55i 0.00609814 0.00839338i
\(173\) 128775. 93560.2i 0.327126 0.237671i −0.412084 0.911146i \(-0.635199\pi\)
0.739210 + 0.673475i \(0.235199\pi\)
\(174\) −205809. + 147587.i −0.515336 + 0.369552i
\(175\) 134481.i 0.331944i
\(176\) 39724.9 + 490814.i 0.0966678 + 1.19436i
\(177\) 133634. 181553.i 0.320616 0.435583i
\(178\) −197710. 64239.9i −0.467712 0.151969i
\(179\) −56541.9 77823.3i −0.131898 0.181542i 0.737960 0.674845i \(-0.235789\pi\)
−0.869858 + 0.493303i \(0.835789\pi\)
\(180\) −125989. 42671.2i −0.289836 0.0981644i
\(181\) 67956.6 + 209149.i 0.154183 + 0.474525i 0.998077 0.0619840i \(-0.0197428\pi\)
−0.843895 + 0.536509i \(0.819743\pi\)
\(182\) −349788. 1.07654e6i −0.782757 2.40908i
\(183\) −391945. + 124669.i −0.865161 + 0.275188i
\(184\) 153981. + 211937.i 0.335293 + 0.461491i
\(185\) 132425. + 43027.5i 0.284473 + 0.0924308i
\(186\) −141925. 104465.i −0.300799 0.221406i
\(187\) 8078.13 + 99807.8i 0.0168930 + 0.208718i
\(188\) 135547.i 0.279701i
\(189\) −376995. + 499092.i −0.767682 + 1.01631i
\(190\) 965701. 701623.i 1.94070 1.41000i
\(191\) −516292. + 710614.i −1.02403 + 1.40945i −0.114686 + 0.993402i \(0.536586\pi\)
−0.909341 + 0.416051i \(0.863414\pi\)
\(192\) 96374.7 290469.i 0.188673 0.568652i
\(193\) −192372. + 62505.4i −0.371748 + 0.120788i −0.488932 0.872322i \(-0.662613\pi\)
0.117184 + 0.993110i \(0.462613\pi\)
\(194\) 562587. + 408743.i 1.07321 + 0.779734i
\(195\) −1.05105e6 6518.55i −1.97941 0.0122762i
\(196\) −28184.4 + 86742.6i −0.0524045 + 0.161284i
\(197\) 8845.91 0.0162397 0.00811983 0.999967i \(-0.497415\pi\)
0.00811983 + 0.999967i \(0.497415\pi\)
\(198\) −330537. + 527260.i −0.599180 + 0.955788i
\(199\) −202626. −0.362712 −0.181356 0.983418i \(-0.558049\pi\)
−0.181356 + 0.983418i \(0.558049\pi\)
\(200\) 37386.0 115062.i 0.0660898 0.203404i
\(201\) −260510. 1615.67i −0.454814 0.00282073i
\(202\) −945877. 687220.i −1.63101 1.18500i
\(203\) 399810. 129906.i 0.680947 0.221253i
\(204\) −10682.7 + 32197.1i −0.0179724 + 0.0541678i
\(205\) −3190.37 + 4391.17i −0.00530220 + 0.00729785i
\(206\) −111989. + 81364.6i −0.183868 + 0.133588i
\(207\) −5315.33 + 428505.i −0.00862193 + 0.695072i
\(208\) 1.31815e6i 2.11254i
\(209\) −460149. 1.10396e6i −0.728673 1.74818i
\(210\) 830272. + 611131.i 1.29919 + 0.956282i
\(211\) 391708. + 127274.i 0.605698 + 0.196803i 0.595780 0.803148i \(-0.296843\pi\)
0.00991779 + 0.999951i \(0.496843\pi\)
\(212\) −58239.3 80159.6i −0.0889973 0.122494i
\(213\) 853357. 271433.i 1.28879 0.409934i
\(214\) −55393.5 170484.i −0.0826846 0.254477i
\(215\) 8951.76 + 27550.7i 0.0132072 + 0.0406477i
\(216\) 461308. 322220.i 0.672754 0.469913i
\(217\) 171939. + 236654.i 0.247871 + 0.341165i
\(218\) −867420. 281842.i −1.23620 0.401665i
\(219\) 79924.8 108584.i 0.112609 0.152988i
\(220\) 187562. + 114366.i 0.261270 + 0.159309i
\(221\) 268047.i 0.369174i
\(222\) 179334. 128602.i 0.244220 0.175132i
\(223\) −288213. + 209399.i −0.388106 + 0.281976i −0.764679 0.644411i \(-0.777102\pi\)
0.376573 + 0.926387i \(0.377102\pi\)
\(224\) 298592. 410977.i 0.397611 0.547264i
\(225\) 161543. 114333.i 0.212731 0.150562i
\(226\) −42397.8 + 13775.9i −0.0552170 + 0.0179411i
\(227\) 825282. + 599603.i 1.06301 + 0.772323i 0.974643 0.223765i \(-0.0718348\pi\)
0.0883680 + 0.996088i \(0.471835\pi\)
\(228\) 2512.87 405174.i 0.00320135 0.516184i
\(229\) 145954. 449201.i 0.183920 0.566046i −0.816009 0.578040i \(-0.803818\pi\)
0.999928 + 0.0119937i \(0.00381779\pi\)
\(230\) 706337. 0.880425
\(231\) 788136. 667724.i 0.971787 0.823317i
\(232\) −378193. −0.461311
\(233\) −148920. + 458328.i −0.179706 + 0.553078i −0.999817 0.0191263i \(-0.993912\pi\)
0.820111 + 0.572204i \(0.193912\pi\)
\(234\) −995788. + 1.33543e6i −1.18885 + 1.59434i
\(235\) −789173. 573368.i −0.932186 0.677273i
\(236\) −119953. + 38975.0i −0.140194 + 0.0455519i
\(237\) 40737.3 + 13516.3i 0.0471109 + 0.0156310i
\(238\) 154537. 212701.i 0.176843 0.243404i
\(239\) 247184. 179590.i 0.279915 0.203370i −0.438966 0.898504i \(-0.644655\pi\)
0.718880 + 0.695134i \(0.244655\pi\)
\(240\) −699617. 975608.i −0.784030 1.09332i
\(241\) 181266.i 0.201036i 0.994935 + 0.100518i \(0.0320500\pi\)
−0.994935 + 0.100518i \(0.967950\pi\)
\(242\) 723473. 729930.i 0.794116 0.801203i
\(243\) 920040. + 28539.0i 0.999519 + 0.0310044i
\(244\) 218850. + 71108.8i 0.235327 + 0.0764625i
\(245\) −385808. 531019.i −0.410635 0.565190i
\(246\) 2607.50 + 8197.70i 0.00274717 + 0.00863683i
\(247\) −989348. 3.04490e6i −1.03183 3.17564i
\(248\) −81321.4 250281.i −0.0839606 0.258404i
\(249\) 160558. + 504776.i 0.164109 + 0.515942i
\(250\) 543957. + 748693.i 0.550446 + 0.757624i
\(251\) 1.23626e6 + 401686.i 1.23859 + 0.402441i 0.853817 0.520573i \(-0.174281\pi\)
0.384768 + 0.923013i \(0.374281\pi\)
\(252\) 334132. 104002.i 0.331449 0.103167i
\(253\) 163686. 688536.i 0.160772 0.676278i
\(254\) 635337.i 0.617902i
\(255\) −142268. 198391.i −0.137012 0.191061i
\(256\) −646775. + 469910.i −0.616813 + 0.448141i
\(257\) −534229. + 735304.i −0.504539 + 0.694439i −0.982987 0.183678i \(-0.941200\pi\)
0.478447 + 0.878116i \(0.341200\pi\)
\(258\) 43575.8 + 14458.0i 0.0407565 + 0.0135226i
\(259\) −348379. + 113195.i −0.322703 + 0.104853i
\(260\) 475749. + 345652.i 0.436460 + 0.317107i
\(261\) −495959. 369820.i −0.450655 0.336039i
\(262\) −294199. + 905452.i −0.264782 + 0.814915i
\(263\) −1.31581e6 −1.17302 −0.586508 0.809943i \(-0.699498\pi\)
−0.586508 + 0.809943i \(0.699498\pi\)
\(264\) −859962. + 352204.i −0.759398 + 0.311017i
\(265\) 713056. 0.623748
\(266\) −970398. + 2.98658e6i −0.840903 + 2.58803i
\(267\) 3149.44 507815.i 0.00270368 0.435940i
\(268\) 117918. + 85672.1i 0.100286 + 0.0728622i
\(269\) −1.04275e6 + 338809.i −0.878615 + 0.285479i −0.713382 0.700775i \(-0.752837\pi\)
−0.165233 + 0.986255i \(0.552837\pi\)
\(270\) 28226.5 1.51692e6i 0.0235639 1.26635i
\(271\) −1.03459e6 + 1.42399e6i −0.855749 + 1.17784i 0.126818 + 0.991926i \(0.459524\pi\)
−0.982567 + 0.185911i \(0.940476\pi\)
\(272\) −247691. + 179958.i −0.202997 + 0.147486i
\(273\) 2.24707e6 1.61139e6i 1.82478 1.30856i
\(274\) 1.21902e6i 0.980925i
\(275\) −301687. + 125749.i −0.240561 + 0.100270i
\(276\) 142128. 193092.i 0.112307 0.152578i
\(277\) −591596. 192221.i −0.463261 0.150523i 0.0680814 0.997680i \(-0.478312\pi\)
−0.531342 + 0.847157i \(0.678312\pi\)
\(278\) −504256. 694048.i −0.391326 0.538614i
\(279\) 138096. 407738.i 0.106212 0.313596i
\(280\) 475737. + 1.46417e6i 0.362637 + 1.11608i
\(281\) 195108. + 600480.i 0.147404 + 0.453662i 0.997312 0.0732681i \(-0.0233429\pi\)
−0.849908 + 0.526930i \(0.823343\pi\)
\(282\) −1.47328e6 + 468615.i −1.10322 + 0.350908i
\(283\) 1.28727e6 + 1.77177e6i 0.955440 + 1.31505i 0.949068 + 0.315070i \(0.102028\pi\)
0.00637161 + 0.999980i \(0.497972\pi\)
\(284\) −476489. 154821.i −0.350556 0.113903i
\(285\) 2.34836e6 + 1.72853e6i 1.71258 + 1.26057i
\(286\) 2.08797e6 1.79133e6i 1.50942 1.29497i
\(287\) 14279.2i 0.0102329i
\(288\) −747536. 9272.72i −0.531069 0.00658758i
\(289\) 1.09832e6 797976.i 0.773543 0.562012i
\(290\) −599370. + 824962.i −0.418504 + 0.576022i
\(291\) −534944. + 1.61230e6i −0.370319 + 1.11612i
\(292\) −71742.2 + 23310.4i −0.0492399 + 0.0159990i
\(293\) 338985. + 246287.i 0.230681 + 0.167600i 0.697122 0.716953i \(-0.254464\pi\)
−0.466440 + 0.884553i \(0.654464\pi\)
\(294\) −1.04026e6 6451.63i −0.701897 0.00435312i
\(295\) 280487. 863250.i 0.187654 0.577539i
\(296\) 329544. 0.218617
\(297\) −1.47215e6 379046.i −0.968415 0.249345i
\(298\) 71041.1 0.0463414
\(299\) 585432. 1.80177e6i 0.378703 1.16553i
\(300\) −110725. 686.712i −0.0710303 0.000440526i
\(301\) −61654.7 44794.8i −0.0392239 0.0284978i
\(302\) 2.03099e6 659909.i 1.28142 0.416358i
\(303\) 899401. 2.71075e6i 0.562791 1.69622i
\(304\) 2.14945e6 2.95846e6i 1.33396 1.83604i
\(305\) −1.33975e6 + 973387.i −0.824660 + 0.599150i
\(306\) −386888. 4799.10i −0.236201 0.00292992i
\(307\) 1.55308e6i 0.940476i 0.882540 + 0.470238i \(0.155832\pi\)
−0.882540 + 0.470238i \(0.844168\pi\)
\(308\) −576044. + 46623.2i −0.346002 + 0.0280043i
\(309\) −272330. 200452.i −0.162256 0.119430i
\(310\) −674825. 219264.i −0.398829 0.129587i
\(311\) 1.90165e6 + 2.61739e6i 1.11488 + 1.53450i 0.814021 + 0.580835i \(0.197274\pi\)
0.300861 + 0.953668i \(0.402726\pi\)
\(312\) −2.37057e6 + 754024.i −1.37869 + 0.438529i
\(313\) 7240.36 + 22283.5i 0.00417733 + 0.0128565i 0.953123 0.302582i \(-0.0978485\pi\)
−0.948946 + 0.315438i \(0.897849\pi\)
\(314\) 575437. + 1.77101e6i 0.329362 + 1.01367i
\(315\) −807875. + 2.38530e6i −0.458741 + 1.35446i
\(316\) −14114.9 19427.5i −0.00795170 0.0109446i
\(317\) −2.62587e6 853196.i −1.46766 0.476871i −0.537258 0.843418i \(-0.680540\pi\)
−0.930400 + 0.366547i \(0.880540\pi\)
\(318\) 669920. 910142.i 0.371497 0.504710i
\(319\) 665273. + 775441.i 0.366036 + 0.426650i
\(320\) 1.23223e6i 0.672693i
\(321\) 355852. 255185.i 0.192756 0.138227i
\(322\) −1.50332e6 + 1.09223e6i −0.808003 + 0.587048i
\(323\) 437094. 601608.i 0.233114 0.320854i
\(324\) −409004. 312949.i −0.216454 0.165619i
\(325\) −832104. + 270367.i −0.436988 + 0.141986i
\(326\) −2.56674e6 1.86484e6i −1.33763 0.971848i
\(327\) 13817.6 2.22795e6i 0.00714602 1.15222i
\(328\) −3969.67 + 12217.4i −0.00203737 + 0.00627037i
\(329\) 2.56624e6 1.30710
\(330\) −594618. + 2.43404e6i −0.300575 + 1.23039i
\(331\) −1.24510e6 −0.624645 −0.312322 0.949976i \(-0.601107\pi\)
−0.312322 + 0.949976i \(0.601107\pi\)
\(332\) 91579.3 281852.i 0.0455987 0.140338i
\(333\) 432160. + 322248.i 0.213567 + 0.159250i
\(334\) −3.05352e6 2.21851e6i −1.49773 1.08817i
\(335\) −997592. + 324137.i −0.485670 + 0.157804i
\(336\) 2.99763e6 + 994584.i 1.44854 + 0.480611i
\(337\) −2102.21 + 2893.44i −0.00100833 + 0.00138784i −0.809521 0.587091i \(-0.800273\pi\)
0.808513 + 0.588479i \(0.200273\pi\)
\(338\) 4.04104e6 2.93599e6i 1.92398 1.39786i
\(339\) −63462.3 88497.4i −0.0299928 0.0418245i
\(340\) 136587.i 0.0640784i
\(341\) −370122. + 607006.i −0.172369 + 0.282688i
\(342\) 4.41259e6 1.37347e6i 2.03999 0.634969i
\(343\) −997091. 323974.i −0.457614 0.148688i
\(344\) 40299.0 + 55466.8i 0.0183611 + 0.0252719i
\(345\) 523007. + 1.64428e6i 0.236570 + 0.743752i
\(346\) −313882. 966030.i −0.140954 0.433811i
\(347\) −10866.5 33443.6i −0.00484469 0.0149104i 0.948605 0.316463i \(-0.102495\pi\)
−0.953450 + 0.301552i \(0.902495\pi\)
\(348\) 104917. + 329848.i 0.0464406 + 0.146004i
\(349\) −1.53885e6 2.11804e6i −0.676289 0.930833i 0.323593 0.946197i \(-0.395109\pi\)
−0.999882 + 0.0153640i \(0.995109\pi\)
\(350\) 816166. + 265188.i 0.356130 + 0.115714i
\(351\) −3.84608e6 1.32927e6i −1.66629 0.575898i
\(352\) 1.20117e6 + 285554.i 0.516710 + 0.122838i
\(353\) 3.17579e6i 1.35649i −0.734838 0.678243i \(-0.762742\pi\)
0.734838 0.678243i \(-0.237258\pi\)
\(354\) −838330. 1.16904e6i −0.355555 0.495817i
\(355\) 2.91696e6 2.11930e6i 1.22846 0.892526i
\(356\) −167002. + 229858.i −0.0698386 + 0.0961246i
\(357\) 609573. + 202250.i 0.253137 + 0.0839883i
\(358\) −583808. + 189691.i −0.240748 + 0.0782237i
\(359\) −1.18594e6 861632.i −0.485652 0.352847i 0.317858 0.948138i \(-0.397036\pi\)
−0.803510 + 0.595292i \(0.797036\pi\)
\(360\) 1.35434e6 1.81628e6i 0.550772 0.738630i
\(361\) −1.97954e6 + 6.09239e6i −0.799458 + 2.46048i
\(362\) 1.40333e6 0.562846
\(363\) 2.23490e6 + 1.14369e6i 0.890206 + 0.455558i
\(364\) −1.54704e6 −0.611997
\(365\) 167755. 516298.i 0.0659089 0.202847i
\(366\) −16277.4 + 2.62456e6i −0.00635157 + 1.02413i
\(367\) 1.80872e6 + 1.31411e6i 0.700980 + 0.509292i 0.880251 0.474508i \(-0.157374\pi\)
−0.179271 + 0.983800i \(0.557374\pi\)
\(368\) 2.05798e6 668680.i 0.792178 0.257394i
\(369\) −17152.7 + 12140.0i −0.00655792 + 0.00464143i
\(370\) 522269. 718841.i 0.198331 0.272979i
\(371\) −1.51762e6 + 1.10262e6i −0.572439 + 0.415901i
\(372\) −195728. + 140358.i −0.0733322 + 0.0525872i
\(373\) 608995.i 0.226643i −0.993558 0.113321i \(-0.963851\pi\)
0.993558 0.113321i \(-0.0361490\pi\)
\(374\) 621665. + 147789.i 0.229814 + 0.0546340i
\(375\) −1.34011e6 + 1.82065e6i −0.492109 + 0.668570i
\(376\) −2.19569e6 713422.i −0.800941 0.260242i
\(377\) 1.60760e6 + 2.21267e6i 0.582537 + 0.801793i
\(378\) 2.28558e6 + 3.27217e6i 0.822749 + 1.17789i
\(379\) 368255. + 1.13337e6i 0.131690 + 0.405299i 0.995060 0.0992711i \(-0.0316511\pi\)
−0.863371 + 0.504570i \(0.831651\pi\)
\(380\) −504135. 1.55157e6i −0.179097 0.551203i
\(381\) 1.47900e6 470435.i 0.521982 0.166030i
\(382\) 3.29463e6 + 4.53467e6i 1.15518 + 1.58996i
\(383\) −3.43678e6 1.11668e6i −1.19717 0.388983i −0.358449 0.933549i \(-0.616694\pi\)
−0.838718 + 0.544566i \(0.816694\pi\)
\(384\) −2.80876e6 2.06742e6i −0.972046 0.715486i
\(385\) 2.16524e6 3.55103e6i 0.744482 1.22096i
\(386\) 1.29076e6i 0.440939i
\(387\) −1391.09 + 112145.i −0.000472149 + 0.0380631i
\(388\) 768899. 558638.i 0.259292 0.188387i
\(389\) 2.16170e6 2.97532e6i 0.724304 0.996919i −0.275066 0.961425i \(-0.588700\pi\)
0.999370 0.0354933i \(-0.0113003\pi\)
\(390\) −2.11217e6 + 6.36598e6i −0.703182 + 2.11936i
\(391\) 418495. 135977.i 0.138436 0.0449805i
\(392\) −1.25678e6 913104.i −0.413089 0.300127i
\(393\) −2.32564e6 14423.5i −0.759557 0.00471073i
\(394\) 17443.6 53685.9i 0.00566104 0.0174229i
\(395\) 172816. 0.0557304
\(396\) 545748. + 652324.i 0.174886 + 0.209038i
\(397\) −3.40613e6 −1.08464 −0.542319 0.840173i \(-0.682453\pi\)
−0.542319 + 0.840173i \(0.682453\pi\)
\(398\) −399566. + 1.22974e6i −0.126439 + 0.389139i
\(399\) −7.67097e6 47575.0i −2.41223 0.0149605i
\(400\) −808483. 587397.i −0.252651 0.183562i
\(401\) −5.39643e6 + 1.75341e6i −1.67589 + 0.544530i −0.984107 0.177576i \(-0.943174\pi\)
−0.691783 + 0.722106i \(0.743174\pi\)
\(402\) −523516. + 1.57785e6i −0.161571 + 0.486969i
\(403\) −1.11863e6 + 1.53966e6i −0.343102 + 0.472239i
\(404\) −1.29275e6 + 939237.i −0.394058 + 0.286300i
\(405\) 3.55214e6 1.05750e6i 1.07610 0.320362i
\(406\) 2.68262e6i 0.807688i
\(407\) −579694. 675690.i −0.173465 0.202191i
\(408\) −465327. 342509.i −0.138391 0.101864i
\(409\) 4.15200e6 + 1.34907e6i 1.22729 + 0.398772i 0.849734 0.527212i \(-0.176763\pi\)
0.377561 + 0.925985i \(0.376763\pi\)
\(410\) 20358.8 + 28021.5i 0.00598127 + 0.00823251i
\(411\) −2.83776e6 + 902626.i −0.828650 + 0.263574i
\(412\) 58462.7 + 179930.i 0.0169682 + 0.0522227i
\(413\) 737896. + 2.27101e6i 0.212873 + 0.655155i
\(414\) 2.59012e6 + 877246.i 0.742710 + 0.251548i
\(415\) 1.25360e6 + 1.72543e6i 0.357305 + 0.491788i
\(416\) 3.14324e6 + 1.02130e6i 0.890520 + 0.289347i
\(417\) 1.24230e6 1.68776e6i 0.349852 0.475304i
\(418\) −7.60732e6 + 615713.i −2.12956 + 0.172360i
\(419\) 5.39472e6i 1.50118i 0.660766 + 0.750592i \(0.270232\pi\)
−0.660766 + 0.750592i \(0.729768\pi\)
\(420\) 1.14502e6 821106.i 0.316731 0.227131i
\(421\) 4.39436e6 3.19269e6i 1.20834 0.877912i 0.213263 0.976995i \(-0.431591\pi\)
0.995079 + 0.0990824i \(0.0315907\pi\)
\(422\) 1.54485e6 2.12630e6i 0.422285 0.581225i
\(423\) −2.18178e6 3.08265e6i −0.592869 0.837671i
\(424\) 1.60502e6 521502.i 0.433576 0.140877i
\(425\) −164406. 119448.i −0.0441516 0.0320780i
\(426\) 35439.7 5.71429e6i 0.00946164 1.52559i
\(427\) 1.34627e6 4.14339e6i 0.357324 1.09973i
\(428\) −244994. −0.0646468
\(429\) 5.71607e6 + 3.53419e6i 1.49953 + 0.927143i
\(430\) 184858. 0.0482133
\(431\) 2.26099e6 6.95862e6i 0.586281 1.80439i −0.00778166 0.999970i \(-0.502477\pi\)
0.594063 0.804419i \(-0.297523\pi\)
\(432\) −1.35381e6 4.44643e6i −0.349018 1.14631i
\(433\) 2.49916e6 + 1.81574e6i 0.640581 + 0.465409i 0.860050 0.510210i \(-0.170432\pi\)
−0.219469 + 0.975619i \(0.570432\pi\)
\(434\) 1.77531e6 576833.i 0.452428 0.147003i
\(435\) −2.36423e6 784428.i −0.599054 0.198760i
\(436\) −732691. + 1.00846e6i −0.184589 + 0.254064i
\(437\) −4.25203e6 + 3.08928e6i −1.06511 + 0.773844i
\(438\) −501394. 699187.i −0.124880 0.174144i
\(439\) 4.32339e6i 1.07069i 0.844634 + 0.535344i \(0.179818\pi\)
−0.844634 + 0.535344i \(0.820182\pi\)
\(440\) −2.83979e6 + 2.43634e6i −0.699285 + 0.599937i
\(441\) −755240. 2.42639e6i −0.184922 0.594107i
\(442\) 1.62678e6 + 528574.i 0.396072 + 0.128692i
\(443\) −1.74337e6 2.39955e6i −0.422067 0.580925i 0.544043 0.839057i \(-0.316893\pi\)
−0.966109 + 0.258133i \(0.916893\pi\)
\(444\) −91420.8 287417.i −0.0220083 0.0691919i
\(445\) −631845. 1.94462e6i −0.151255 0.465516i
\(446\) 702505. + 2.16209e6i 0.167229 + 0.514679i
\(447\) 52602.4 + 165376.i 0.0124519 + 0.0391475i
\(448\) 1.90543e6 + 2.62260e6i 0.448537 + 0.617358i
\(449\) 3.22799e6 + 1.04884e6i 0.755642 + 0.245523i 0.661407 0.750027i \(-0.269960\pi\)
0.0942346 + 0.995550i \(0.469960\pi\)
\(450\) −375338. 1.20586e6i −0.0873759 0.280716i
\(451\) 32033.3 13352.0i 0.00741583 0.00309105i
\(452\) 60928.0i 0.0140272i
\(453\) 3.04004e6 + 4.23930e6i 0.696040 + 0.970620i
\(454\) 5.26641e6 3.82627e6i 1.19915 0.871236i
\(455\) 6.54406e6 9.00713e6i 1.48190 2.03966i
\(456\) 6.55009e6 + 2.17326e6i 1.47515 + 0.489440i
\(457\) −7.36216e6 + 2.39211e6i −1.64898 + 0.535786i −0.978518 0.206160i \(-0.933903\pi\)
−0.670460 + 0.741946i \(0.733903\pi\)
\(458\) −2.43839e6 1.77160e6i −0.543175 0.394640i
\(459\) −275299. 904188.i −0.0609921 0.200321i
\(460\) 298314. 918117.i 0.0657324 0.202304i
\(461\) 4.79758e6 1.05140 0.525702 0.850669i \(-0.323803\pi\)
0.525702 + 0.850669i \(0.323803\pi\)
\(462\) −2.49827e6 6.09992e6i −0.544545 1.32959i
\(463\) −6.98461e6 −1.51422 −0.757111 0.653286i \(-0.773390\pi\)
−0.757111 + 0.653286i \(0.773390\pi\)
\(464\) −965344. + 2.97102e6i −0.208155 + 0.640636i
\(465\) 10749.7 1.73328e6i 0.00230549 0.371737i
\(466\) 2.48794e6 + 1.80759e6i 0.530731 + 0.385599i
\(467\) 3.41250e6 1.10879e6i 0.724070 0.235264i 0.0762828 0.997086i \(-0.475695\pi\)
0.647787 + 0.761822i \(0.275695\pi\)
\(468\) 1.31527e6 + 1.85836e6i 0.277588 + 0.392207i
\(469\) 1.62199e6 2.23248e6i 0.340499 0.468657i
\(470\) −5.03598e6 + 3.65886e6i −1.05157 + 0.764013i
\(471\) −3.69665e6 + 2.65090e6i −0.767815 + 0.550607i
\(472\) 2.14822e6i 0.443838i
\(473\) 42838.9 180199.i 0.00880411 0.0370339i
\(474\) 162362. 220582.i 0.0331924 0.0450946i
\(475\) 2.30846e6 + 750064.i 0.469449 + 0.152533i
\(476\) −211208. 290703.i −0.0427261 0.0588074i
\(477\) 2.61476e6 + 885590.i 0.526182 + 0.178212i
\(478\) −602500. 1.85430e6i −0.120611 0.371203i
\(479\) 1.77291e6 + 5.45644e6i 0.353059 + 1.08660i 0.957127 + 0.289670i \(0.0935456\pi\)
−0.604068 + 0.796933i \(0.706454\pi\)
\(480\) −2.86848e6 + 912398.i −0.568263 + 0.180751i
\(481\) −1.40080e6 1.92803e6i −0.276066 0.379973i
\(482\) 1.10011e6 + 357446.i 0.215683 + 0.0700798i
\(483\) −3.65573e6 2.69084e6i −0.713027 0.524832i
\(484\) −643231. 1.24867e6i −0.124811 0.242289i
\(485\) 6.83971e6i 1.32033i
\(486\) 1.98747e6 5.52746e6i 0.381689 1.06154i
\(487\) −4.64208e6 + 3.37267e6i −0.886932 + 0.644394i −0.935076 0.354446i \(-0.884669\pi\)
0.0481440 + 0.998840i \(0.484669\pi\)
\(488\) −2.30375e6 + 3.17084e6i −0.437910 + 0.602732i
\(489\) 2.44062e6 7.35592e6i 0.461560 1.39112i
\(490\) −3.98355e6 + 1.29433e6i −0.749515 + 0.243532i
\(491\) 5.85349e6 + 4.25281e6i 1.09575 + 0.796108i 0.980361 0.197213i \(-0.0631890\pi\)
0.115388 + 0.993321i \(0.463189\pi\)
\(492\) 11756.8 + 72.9153i 0.00218967 + 1.35802e-5i
\(493\) −196304. + 604163.i −0.0363758 + 0.111953i
\(494\) −2.04305e7 −3.76670
\(495\) −6.10647e6 + 418072.i −1.12015 + 0.0766899i
\(496\) −2.17374e6 −0.396738
\(497\) −2.93115e6 + 9.02115e6i −0.532288 + 1.63822i
\(498\) 3.38011e6 + 20963.2i 0.610741 + 0.00378778i
\(499\) 835139. + 606764.i 0.150144 + 0.109086i 0.660321 0.750983i \(-0.270420\pi\)
−0.510177 + 0.860069i \(0.670420\pi\)
\(500\) 1.20291e6 390848.i 0.215182 0.0699170i
\(501\) 2.90348e6 8.75096e6i 0.516803 1.55762i
\(502\) 4.87567e6 6.71079e6i 0.863526 1.18854i
\(503\) 5.81008e6 4.22127e6i 1.02391 0.743915i 0.0568298 0.998384i \(-0.481901\pi\)
0.967081 + 0.254469i \(0.0819008\pi\)
\(504\) −73928.9 + 5.95991e6i −0.0129640 + 1.04511i
\(505\) 1.14996e7i 2.00657i
\(506\) −3.85595e6 2.35117e6i −0.669508 0.408232i
\(507\) 9.82685e6 + 7.23317e6i 1.69783 + 1.24971i
\(508\) −825829. 268328.i −0.141981 0.0461325i
\(509\) −3.77275e6 5.19275e6i −0.645452 0.888388i 0.353440 0.935457i \(-0.385012\pi\)
−0.998892 + 0.0470689i \(0.985012\pi\)
\(510\) −1.48459e6 + 472212.i −0.252743 + 0.0803918i
\(511\) 441326. + 1.35826e6i 0.0747665 + 0.230108i
\(512\) −635877. 1.95703e6i −0.107201 0.329930i
\(513\) 6.46459e6 + 9.25507e6i 1.08454 + 1.55270i
\(514\) 3.40910e6 + 4.69222e6i 0.569157 + 0.783377i
\(515\) −1.29488e6 420731.i −0.215135 0.0699015i
\(516\) 37196.8 50534.9i 0.00615008 0.00835540i
\(517\) 2.39961e6 + 5.75696e6i 0.394833 + 0.947256i
\(518\) 2.33753e6i 0.382766i
\(519\) 2.01640e6 1.44598e6i 0.328594 0.235638i
\(520\) −8.10313e6 + 5.88727e6i −1.31415 + 0.954785i
\(521\) 2.10384e6 2.89569e6i 0.339562 0.467367i −0.604752 0.796414i \(-0.706728\pi\)
0.944313 + 0.329047i \(0.106728\pi\)
\(522\) −3.22245e6 + 2.28072e6i −0.517618 + 0.366349i
\(523\) −2.51594e6 + 817478.i −0.402203 + 0.130684i −0.503131 0.864210i \(-0.667819\pi\)
0.100928 + 0.994894i \(0.467819\pi\)
\(524\) 1.05268e6 + 764816.i 0.167482 + 0.121683i
\(525\) −13001.2 + 2.09631e6i −0.00205866 + 0.331938i
\(526\) −2.59470e6 + 7.98568e6i −0.408906 + 1.25848i
\(527\) −442034. −0.0693313
\(528\) 571788. + 7.65472e6i 0.0892587 + 1.19494i
\(529\) 3.32630e6 0.516800
\(530\) 1.40611e6 4.32755e6i 0.217434 0.669194i
\(531\) 2.10066e6 2.81716e6i 0.323311 0.433586i
\(532\) 3.47220e6 + 2.52270e6i 0.531895 + 0.386444i
\(533\) 88353.2 28707.7i 0.0134711 0.00437704i
\(534\) −3.07572e6 1.02050e6i −0.466761 0.154867i
\(535\) 1.03634e6 1.42639e6i 0.156537 0.215454i
\(536\) −2.00842e6 + 1.45920e6i −0.301955 + 0.219383i
\(537\) −873861. 1.21859e6i −0.130769 0.182356i
\(538\) 6.99656e6i 1.04215i
\(539\) 338567. + 4.18310e6i 0.0501965 + 0.620193i
\(540\) −1.95982e6 677346.i −0.289222 0.0999600i
\(541\) 4.46010e6 + 1.44917e6i 0.655166 + 0.212876i 0.617690 0.786421i \(-0.288068\pi\)
0.0374752 + 0.999298i \(0.488068\pi\)
\(542\) 6.60209e6 + 9.08700e6i 0.965346 + 1.32869i
\(543\) 1.03910e6 + 3.26682e6i 0.151237 + 0.475472i
\(544\) 237215. + 730073.i 0.0343673 + 0.105772i
\(545\) −2.77211e6 8.53168e6i −0.399779 1.23039i
\(546\) −5.34848e6 1.68151e7i −0.767801 2.41389i
\(547\) −5.54735e6 7.63528e6i −0.792716 1.09108i −0.993765 0.111499i \(-0.964435\pi\)
0.201049 0.979581i \(-0.435565\pi\)
\(548\) 1.58452e6 + 514842.i 0.225396 + 0.0732357i
\(549\) −6.12175e6 + 1.90546e6i −0.866851 + 0.269817i
\(550\) 168261. + 2.07891e6i 0.0237179 + 0.293042i
\(551\) 7.58757e6i 1.06469i
\(552\) 2.37980e6 + 3.31860e6i 0.332424 + 0.463561i
\(553\) −367812. + 267231.i −0.0511461 + 0.0371598i
\(554\) −2.33319e6 + 3.21136e6i −0.322980 + 0.444543i
\(555\) 2.06010e6 + 683521.i 0.283894 + 0.0941932i
\(556\) −1.11511e6 + 362321.i −0.152979 + 0.0497058i
\(557\) −4.83554e6 3.51323e6i −0.660400 0.479809i 0.206398 0.978468i \(-0.433826\pi\)
−0.866798 + 0.498659i \(0.833826\pi\)
\(558\) −2.20225e6 1.64214e6i −0.299420 0.223268i
\(559\) 153215. 471548.i 0.0207383 0.0638259i
\(560\) 1.27166e7 1.71356
\(561\) 116274. + 1.55660e6i 0.0155982 + 0.208819i
\(562\) 4.02906e6 0.538100
\(563\) 504183. 1.55171e6i 0.0670374 0.206320i −0.911926 0.410354i \(-0.865405\pi\)
0.978964 + 0.204034i \(0.0654053\pi\)
\(564\) −13104.2 + 2.11292e6i −0.00173466 + 0.279696i
\(565\) −354732. 257728.i −0.0467498 0.0339657i
\(566\) 1.32913e7 4.31862e6i 1.74393 0.566636i
\(567\) −5.92491e6 + 7.74348e6i −0.773970 + 1.01153i
\(568\) 5.01581e6 6.90367e6i 0.652334 0.897861i
\(569\) 8.37882e6 6.08757e6i 1.08493 0.788248i 0.106395 0.994324i \(-0.466069\pi\)
0.978536 + 0.206076i \(0.0660693\pi\)
\(570\) 1.51213e7 1.08436e7i 1.94941 1.39794i
\(571\) 6.73836e6i 0.864896i −0.901659 0.432448i \(-0.857650\pi\)
0.901659 0.432448i \(-0.142350\pi\)
\(572\) −1.44659e6 3.47055e6i −0.184865 0.443515i
\(573\) −8.11673e6 + 1.10273e7i −1.03275 + 1.40307i
\(574\) −86660.9 28157.8i −0.0109785 0.00356713i
\(575\) 844232. + 1.16199e6i 0.106486 + 0.146565i
\(576\) 1.53039e6 4.51855e6i 0.192196 0.567471i
\(577\) −3.51561e6 1.08199e7i −0.439604 1.35296i −0.888295 0.459274i \(-0.848110\pi\)
0.448691 0.893687i \(-0.351890\pi\)
\(578\) −2.67711e6 8.23928e6i −0.333308 1.02582i
\(579\) −3.00477e6 + 955746.i −0.372490 + 0.118480i
\(580\) 819171. + 1.12749e6i 0.101112 + 0.139169i
\(581\) −5.33617e6 1.73383e6i −0.655827 0.213091i
\(582\) 8.73018e6 + 6.42594e6i 1.06835 + 0.786375i
\(583\) −3.89263e6 2.37353e6i −0.474321 0.289217i
\(584\) 1.28482e6i 0.155888i
\(585\) −1.63833e7 203224.i −1.97930 0.0245520i
\(586\) 2.16318e6 1.57164e6i 0.260225 0.189064i
\(587\) −6.02549e6 + 8.29338e6i −0.721767 + 0.993427i 0.277696 + 0.960669i \(0.410429\pi\)
−0.999463 + 0.0327584i \(0.989571\pi\)
\(588\) −447729. + 1.34943e6i −0.0534037 + 0.160956i
\(589\) 5.02132e6 1.63152e6i 0.596389 0.193778i
\(590\) −4.68597e6 3.40456e6i −0.554204 0.402653i
\(591\) 137891. + 855.195i 0.0162393 + 0.000100716i
\(592\) 841165. 2.58884e6i 0.0986455 0.303600i
\(593\) −7.38912e6 −0.862891 −0.431446 0.902139i \(-0.641996\pi\)
−0.431446 + 0.902139i \(0.641996\pi\)
\(594\) −5.20343e6 + 8.18705e6i −0.605096 + 0.952054i
\(595\) 2.58594e6 0.299451
\(596\) 30003.5 92341.2i 0.00345984 0.0106483i
\(597\) −3.15856e6 19589.2i −0.362705 0.00224948i
\(598\) −9.78056e6 7.10599e6i −1.11843 0.812590i
\(599\) 532729. 173094.i 0.0606651 0.0197113i −0.278527 0.960428i \(-0.589846\pi\)
0.339192 + 0.940717i \(0.389846\pi\)
\(600\) 593903. 1.79000e6i 0.0673500 0.202990i
\(601\) −9.61781e6 + 1.32378e7i −1.08615 + 1.49496i −0.233587 + 0.972336i \(0.575046\pi\)
−0.852564 + 0.522623i \(0.824954\pi\)
\(602\) −393440. + 285851.i −0.0442473 + 0.0321476i
\(603\) −4.06071e6 50370.6i −0.454788 0.00564136i
\(604\) 2.91864e6i 0.325528i
\(605\) 9.99084e6 + 1.53693e6i 1.10972 + 0.170713i
\(606\) −1.46780e7 1.08039e7i −1.62363 1.19509i
\(607\) 9.72739e6 + 3.16062e6i 1.07158 + 0.348177i 0.791103 0.611683i \(-0.209507\pi\)
0.280477 + 0.959861i \(0.409507\pi\)
\(608\) −5.38932e6 7.41776e6i −0.591255 0.813793i
\(609\) 6.24486e6 1.98634e6i 0.682306 0.217026i
\(610\) 3.26559e6 + 1.00504e7i 0.355334 + 1.09360i
\(611\) 5.15930e6 + 1.58787e7i 0.559098 + 1.72073i
\(612\) −169636. + 500861.i −0.0183080 + 0.0540553i
\(613\) 2.02916e6 + 2.79289e6i 0.218104 + 0.300195i 0.904023 0.427483i \(-0.140600\pi\)
−0.685919 + 0.727678i \(0.740600\pi\)
\(614\) 9.42566e6 + 3.06258e6i 1.00900 + 0.327844i
\(615\) −50156.5 + 68141.7i −0.00534736 + 0.00726483i
\(616\) 2.27665e6 9.57658e6i 0.241738 1.01685i
\(617\) 1.64327e7i 1.73779i −0.495001 0.868893i \(-0.664832\pi\)
0.495001 0.868893i \(-0.335168\pi\)
\(618\) −1.75356e6 + 1.25750e6i −0.184693 + 0.132445i
\(619\) 9.15851e6 6.65405e6i 0.960724 0.698007i 0.00740487 0.999973i \(-0.497643\pi\)
0.953319 + 0.301966i \(0.0976429\pi\)
\(620\) −570011. + 784552.i −0.0595530 + 0.0819677i
\(621\) −124283. + 6.67909e6i −0.0129325 + 0.695005i
\(622\) 1.96349e7 6.37978e6i 2.03495 0.661195i
\(623\) 4.35179e6 + 3.16176e6i 0.449209 + 0.326369i
\(624\) −127434. + 2.05475e7i −0.0131016 + 2.11250i
\(625\) −3.59926e6 + 1.10774e7i −0.368564 + 1.13432i
\(626\) 149517. 0.0152494
\(627\) −7.06615e6 1.72531e7i −0.717817 1.75267i
\(628\) 2.54504e6 0.257511
\(629\) 171052. 526445.i 0.0172386 0.0530550i
\(630\) 1.28833e7 + 9.60668e6i 1.29323 + 0.964321i
\(631\) −6.27841e6 4.56153e6i −0.627735 0.456076i 0.227880 0.973689i \(-0.426821\pi\)
−0.855615 + 0.517613i \(0.826821\pi\)
\(632\) 388992. 126391.i 0.0387390 0.0125871i
\(633\) 6.09370e6 + 2.02183e6i 0.604466 + 0.200556i
\(634\) −1.03561e7 + 1.42540e7i −1.02323 + 1.40836i
\(635\) 5.05554e6 3.67306e6i 0.497546 0.361488i
\(636\) −900094. 1.25517e6i −0.0882359 0.123044i
\(637\) 1.12343e7i 1.09698i
\(638\) 6.01804e6 2.50843e6i 0.585334 0.243978i
\(639\) 1.33285e7 4.14864e6i 1.29131 0.401933i
\(640\) −1.33551e7 4.33934e6i −1.28884 0.418768i
\(641\) −8.39551e6 1.15554e7i −0.807053 1.11081i −0.991771 0.128022i \(-0.959137\pi\)
0.184718 0.982791i \(-0.440863\pi\)
\(642\) −847001. 2.66288e6i −0.0811048 0.254985i
\(643\) 5.73327e6 + 1.76452e7i 0.546858 + 1.68306i 0.716531 + 0.697555i \(0.245729\pi\)
−0.169673 + 0.985500i \(0.554271\pi\)
\(644\) 784796. + 2.41535e6i 0.0745662 + 0.229491i
\(645\) 136878. + 430330.i 0.0129549 + 0.0407289i
\(646\) −2.78925e6 3.83907e6i −0.262970 0.361947i
\(647\) −1.26368e7 4.10594e6i −1.18679 0.385613i −0.351908 0.936035i \(-0.614467\pi\)
−0.834887 + 0.550422i \(0.814467\pi\)
\(648\) 7.22209e6 4.97821e6i 0.675655 0.465732i
\(649\) −4.40468e6 + 3.77890e6i −0.410490 + 0.352171i
\(650\) 5.58320e6i 0.518322i
\(651\) 2.65733e6 + 3.70562e6i 0.245750 + 0.342695i
\(652\) −3.50801e6 + 2.54872e6i −0.323178 + 0.234803i
\(653\) −5.40034e6 + 7.43294e6i −0.495608 + 0.682146i −0.981410 0.191923i \(-0.938528\pi\)
0.485802 + 0.874069i \(0.338528\pi\)
\(654\) −1.34942e7 4.47725e6i −1.23368 0.409324i
\(655\) −8.90576e6 + 2.89366e6i −0.811087 + 0.263538i
\(656\) 85845.1 + 62370.1i 0.00778853 + 0.00565870i
\(657\) 1.25638e6 1.68491e6i 0.113555 0.152287i
\(658\) 5.06048e6 1.55746e7i 0.455645 1.40233i
\(659\) 1.28416e7 1.15188 0.575940 0.817492i \(-0.304636\pi\)
0.575940 + 0.817492i \(0.304636\pi\)
\(660\) 2.91270e6 + 1.80089e6i 0.260277 + 0.160926i
\(661\) 4.86970e6 0.433510 0.216755 0.976226i \(-0.430453\pi\)
0.216755 + 0.976226i \(0.430453\pi\)
\(662\) −2.45526e6 + 7.55651e6i −0.217747 + 0.670157i
\(663\) −25914.0 + 4.17837e6i −0.00228955 + 0.369167i
\(664\) 4.08365e6 + 2.96694e6i 0.359441 + 0.261149i
\(665\) −2.93751e7 + 9.54455e6i −2.57588 + 0.836954i
\(666\) 2.80792e6 1.98733e6i 0.245301 0.173614i
\(667\) 2.63906e6 3.63235e6i 0.229686 0.316135i
\(668\) −4.17330e6 + 3.03208e6i −0.361858 + 0.262905i
\(669\) −4.51295e6 + 3.23628e6i −0.389848 + 0.279563i
\(670\) 6.69358e6i 0.576065i
\(671\) 1.05539e7 854201.i 0.904913 0.0732409i
\(672\) 4.69423e6 6.37750e6i 0.400997 0.544788i
\(673\) −1.12009e6 363940.i −0.0953270 0.0309736i 0.260965 0.965348i \(-0.415959\pi\)
−0.356292 + 0.934375i \(0.615959\pi\)
\(674\) 13414.9 + 18464.0i 0.00113746 + 0.00156558i
\(675\) 2.52921e6 1.76663e6i 0.213661 0.149240i
\(676\) −2.10959e6 6.49264e6i −0.177554 0.546455i
\(677\) 2.85334e6 + 8.78169e6i 0.239267 + 0.736388i 0.996527 + 0.0832740i \(0.0265377\pi\)
−0.757260 + 0.653114i \(0.773462\pi\)
\(678\) −662236. + 210642.i −0.0553272 + 0.0175983i
\(679\) −1.05764e7 1.45572e7i −0.880368 1.21172i
\(680\) −2.21254e6 718898.i −0.183493 0.0596204i
\(681\) 1.28067e7 + 9.42649e6i 1.05820 + 0.778901i
\(682\) 2.95407e6 + 3.44325e6i 0.243198 + 0.283471i
\(683\) 6.95583e6i 0.570555i 0.958445 + 0.285277i \(0.0920857\pi\)
−0.958445 + 0.285277i \(0.907914\pi\)
\(684\) 78342.0 6.31568e6i 0.00640257 0.516154i
\(685\) −9.70008e6 + 7.04752e6i −0.789858 + 0.573865i
\(686\) −3.93241e6 + 5.41250e6i −0.319043 + 0.439124i
\(687\) 2.31858e6 6.98810e6i 0.187427 0.564895i
\(688\) 538602. 175002.i 0.0433807 0.0140953i
\(689\) −9.87359e6 7.17358e6i −0.792368 0.575689i
\(690\) 1.10105e7 + 68286.5i 0.880409 + 0.00546025i
\(691\) 4.35448e6 1.34017e7i 0.346930 1.06774i −0.613613 0.789607i \(-0.710284\pi\)
0.960543 0.278133i \(-0.0897156\pi\)
\(692\) −1.38824e6 −0.110204
\(693\) 1.23501e7 1.03324e7i 0.976874 0.817274i
\(694\) −224398. −0.0176856
\(695\) 2.60747e6 8.02498e6i 0.204766 0.630205i
\(696\) −5.89534e6 36562.6i −0.461302 0.00286097i
\(697\) 17456.7 + 12683.1i 0.00136107 + 0.000988876i
\(698\) −1.58890e7 + 5.16264e6i −1.23440 + 0.401082i
\(699\) −2.36569e6 + 7.13009e6i −0.183133 + 0.551953i
\(700\) 689399. 948876.i 0.0531772 0.0731921i
\(701\) −194322. + 141184.i −0.0149358 + 0.0108515i −0.595228 0.803557i \(-0.702938\pi\)
0.580292 + 0.814408i \(0.302938\pi\)
\(702\) −1.56516e7 + 2.07207e7i −1.19872 + 1.58694i
\(703\) 6.61153e6i 0.504561i
\(704\) −4.10169e6 + 6.72685e6i −0.311912 + 0.511540i
\(705\) −1.22463e7 9.01404e6i −0.927968 0.683041i
\(706\) −1.92739e7 6.26248e6i −1.45532 0.472862i
\(707\) 1.77821e7 + 2.44750e7i 1.33794 + 1.84151i
\(708\) −1.87361e6 + 595952.i −0.140474 + 0.0446816i
\(709\) −1.28031e6 3.94038e6i −0.0956530 0.294390i 0.891770 0.452488i \(-0.149464\pi\)
−0.987423 + 0.158099i \(0.949464\pi\)
\(710\) −7.10996e6 2.18822e7i −0.529324 1.62909i
\(711\) 633713. + 214632.i 0.0470131 + 0.0159228i
\(712\) −2.84443e6 3.91503e6i −0.210279 0.289424i
\(713\) 2.97129e6 + 965430.i 0.218888 + 0.0711209i
\(714\) 2.42950e6 3.30068e6i 0.178350 0.242303i
\(715\) 2.63252e7 + 6.25832e6i 1.92578 + 0.457818i
\(716\) 838964.i 0.0611590i
\(717\) 3.87050e6 2.77557e6i 0.281170 0.201630i
\(718\) −7.56786e6 + 5.49837e6i −0.547850 + 0.398036i
\(719\) −1.32128e6 + 1.81859e6i −0.0953178 + 0.131194i −0.854012 0.520253i \(-0.825838\pi\)
0.758694 + 0.651447i \(0.225838\pi\)
\(720\) −1.08114e7 1.52756e7i −0.777234 1.09816i
\(721\) 3.40652e6 1.10685e6i 0.244047 0.0792956i
\(722\) 3.30713e7 + 2.40277e7i 2.36106 + 1.71541i
\(723\) −17524.2 + 2.82560e6i −0.00124679 + 0.201032i
\(724\) 592684. 1.82409e6i 0.0420220 0.129330i
\(725\) −2.07352e6 −0.146508
\(726\) 1.13482e7 1.13083e7i 0.799070 0.796263i
\(727\) −6.02807e6 −0.423002 −0.211501 0.977378i \(-0.567835\pi\)
−0.211501 + 0.977378i \(0.567835\pi\)
\(728\) 8.14255e6 2.50602e7i 0.569419 1.75249i
\(729\) 1.43390e7 + 533817.i 0.999308 + 0.0372026i
\(730\) −2.80262e6 2.03622e6i −0.194651 0.141422i
\(731\) 109526. 35587.0i 0.00758092 0.00246319i
\(732\) 3.40460e6 + 1.12961e6i 0.234849 + 0.0779205i
\(733\) 3.85271e6 5.30280e6i 0.264854 0.364540i −0.655790 0.754943i \(-0.727664\pi\)
0.920644 + 0.390403i \(0.127664\pi\)
\(734\) 1.15420e7 8.38578e6i 0.790756 0.574518i
\(735\) −5.96269e6 8.31490e6i −0.407122 0.567726i
\(736\) 5.42553e6i 0.369188i
\(737\) 6.52489e6 + 1.55117e6i 0.442491 + 0.105194i
\(738\) 39853.6 + 128039.i 0.00269356 + 0.00865370i
\(739\) −1.33806e7 4.34761e6i −0.901288 0.292846i −0.178520 0.983936i \(-0.557131\pi\)
−0.722769 + 0.691090i \(0.757131\pi\)
\(740\) −713795. 982455.i −0.0479175 0.0659528i
\(741\) −1.51277e7 4.75600e7i −1.01211 3.18197i
\(742\) 3.69914e6 + 1.13848e7i 0.246656 + 0.759128i
\(743\) −6.71131e6 2.06553e7i −0.446001 1.37265i −0.881383 0.472403i \(-0.843387\pi\)
0.435382 0.900246i \(-0.356613\pi\)
\(744\) −1.24345e6 3.90929e6i −0.0823564 0.258920i
\(745\) 410709. + 565292.i 0.0271109 + 0.0373149i
\(746\) −3.69600e6 1.20090e6i −0.243156 0.0790062i
\(747\) 2.45400e6 + 7.88405e6i 0.160906 + 0.516949i
\(748\) 454654. 745640.i 0.0297116 0.0487276i
\(749\) 4.63836e6i 0.302107i
\(750\) 8.40691e6 + 1.17233e7i 0.545737 + 0.761023i
\(751\) −387022. + 281188.i −0.0250401 + 0.0181927i −0.600235 0.799824i \(-0.704926\pi\)
0.575195 + 0.818016i \(0.304926\pi\)
\(752\) −1.12091e7 + 1.54279e7i −0.722810 + 0.994863i
\(753\) 1.92322e7 + 6.38106e6i 1.23607 + 0.410115i
\(754\) 1.65988e7 5.39327e6i 1.06328 0.345481i
\(755\) 1.69928e7 + 1.23460e7i 1.08492 + 0.788240i
\(756\) 5.21855e6 1.58890e6i 0.332082 0.101109i
\(757\) 1.25664e6 3.86752e6i 0.0797020 0.245298i −0.903264 0.429085i \(-0.858836\pi\)
0.982966 + 0.183788i \(0.0588359\pi\)
\(758\) 7.60464e6 0.480735
\(759\) 2.61813e6 1.07172e7i 0.164963 0.675268i
\(760\) 2.77869e7 1.74504
\(761\) −1.36555e6 + 4.20272e6i −0.0854762 + 0.263069i −0.984655 0.174513i \(-0.944165\pi\)
0.899179 + 0.437582i \(0.144165\pi\)
\(762\) 61422.4 9.90373e6i 0.00383212 0.617891i
\(763\) 1.90928e7 + 1.38717e7i 1.18729 + 0.862618i
\(764\) 7.28575e6 2.36728e6i 0.451586 0.146729i
\(765\) −2.19852e6 3.10631e6i −0.135824 0.191907i
\(766\) −1.35543e7 + 1.86558e7i −0.834649 + 1.14880i
\(767\) −1.25684e7 + 9.13151e6i −0.771424 + 0.560472i
\(768\) −1.01275e7 + 7.26250e6i −0.619581 + 0.444307i