Properties

Label 43.5.h.a.3.3
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.3
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.82198 + 5.85989i) q^{2} +(-0.311439 - 0.0233391i) q^{3} +(-16.3990 - 20.5636i) q^{4} +(13.6957 - 44.4004i) q^{5} +(1.01564 - 1.75914i) q^{6} +(19.2501 - 11.1141i) q^{7} +(65.3235 - 14.9097i) q^{8} +(-79.9988 - 12.0579i) q^{9} +O(q^{10})\) \(q+(-2.82198 + 5.85989i) q^{2} +(-0.311439 - 0.0233391i) q^{3} +(-16.3990 - 20.5636i) q^{4} +(13.6957 - 44.4004i) q^{5} +(1.01564 - 1.75914i) q^{6} +(19.2501 - 11.1141i) q^{7} +(65.3235 - 14.9097i) q^{8} +(-79.9988 - 12.0579i) q^{9} +(221.533 + 205.552i) q^{10} +(29.6396 - 37.1669i) q^{11} +(4.62734 + 6.78706i) q^{12} +(6.21016 - 5.76219i) q^{13} +(10.8038 + 144.167i) q^{14} +(-5.30165 + 13.5084i) q^{15} +(-3.32872 + 14.5841i) q^{16} +(206.586 - 63.7233i) q^{17} +(296.413 - 434.758i) q^{18} +(-78.7786 - 522.662i) q^{19} +(-1137.63 + 446.487i) q^{20} +(-6.25463 + 3.01207i) q^{21} +(134.152 + 278.569i) q^{22} +(253.456 + 645.795i) q^{23} +(-20.6923 + 3.11886i) q^{24} +(-1267.43 - 864.116i) q^{25} +(16.2409 + 52.6516i) q^{26} +(49.2964 + 11.2516i) q^{27} +(-544.227 - 213.593i) q^{28} +(-1010.10 + 75.6968i) q^{29} +(-64.1966 - 69.1874i) q^{30} +(738.096 - 503.225i) q^{31} +(762.098 + 607.753i) q^{32} +(-10.0984 + 10.8835i) q^{33} +(-209.569 + 1390.40i) q^{34} +(-229.825 - 1006.93i) q^{35} +(1063.94 + 1842.80i) q^{36} +(-143.548 - 82.8776i) q^{37} +(3285.05 + 1013.30i) q^{38} +(-2.06857 + 1.64963i) q^{39} +(232.657 - 3104.59i) q^{40} +(2521.08 + 1214.09i) q^{41} -45.1515i q^{42} +(16.3230 - 1848.93i) q^{43} -1250.35 q^{44} +(-1631.02 + 3386.84i) q^{45} +(-4499.53 - 337.193i) q^{46} +(-571.675 - 716.857i) q^{47} +(1.37708 - 4.46437i) q^{48} +(-953.455 + 1651.43i) q^{49} +(8640.27 - 4988.46i) q^{50} +(-65.8262 + 15.0244i) q^{51} +(-220.332 - 33.2097i) q^{52} +(-1834.68 - 1702.34i) q^{53} +(-205.046 + 257.120i) q^{54} +(-1244.29 - 1825.04i) q^{55} +(1091.78 - 1013.02i) q^{56} +(12.3363 + 164.616i) q^{57} +(2406.91 - 6132.72i) q^{58} +(-1304.73 + 5716.40i) q^{59} +(364.723 - 112.502i) q^{60} +(467.210 - 685.271i) q^{61} +(865.957 + 5745.25i) q^{62} +(-1674.00 + 656.996i) q^{63} +(-5927.63 + 2854.60i) q^{64} +(-170.791 - 354.651i) q^{65} +(-35.2786 - 89.8883i) q^{66} +(405.323 - 61.0926i) q^{67} +(-4698.18 - 3203.16i) q^{68} +(-63.8638 - 207.041i) q^{69} +(6549.05 + 1494.78i) q^{70} +(3802.71 + 1492.45i) q^{71} +(-5405.58 + 405.092i) q^{72} +(3740.48 + 4031.27i) q^{73} +(890.744 - 607.299i) q^{74} +(374.558 + 298.700i) q^{75} +(-9455.94 + 10191.1i) q^{76} +(157.491 - 1044.88i) q^{77} +(-3.82920 - 16.7768i) q^{78} +(-1701.09 - 2946.37i) q^{79} +(601.951 + 347.536i) q^{80} +(6246.87 + 1926.91i) q^{81} +(-14228.9 + 11347.1i) q^{82} +(610.137 - 8141.71i) q^{83} +(164.509 + 79.2232i) q^{84} -10045.2i q^{85} +(10788.5 + 5313.28i) q^{86} +316.353 q^{87} +(1382.02 - 2869.79i) q^{88} +(10710.5 + 802.638i) q^{89} +(-15243.8 - 19115.2i) q^{90} +(55.5050 - 179.943i) q^{91} +(9123.48 - 15802.3i) q^{92} +(-241.617 + 139.498i) q^{93} +(5813.96 - 1327.00i) q^{94} +(-24285.3 - 3660.42i) q^{95} +(-223.163 - 207.065i) q^{96} +(3043.26 - 3816.13i) q^{97} +(-6986.59 - 10247.5i) q^{98} +(-2819.29 + 2615.92i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.82198 + 5.85989i −0.705494 + 1.46497i 0.171856 + 0.985122i \(0.445024\pi\)
−0.877350 + 0.479851i \(0.840691\pi\)
\(3\) −0.311439 0.0233391i −0.0346044 0.00259324i 0.0574167 0.998350i \(-0.481714\pi\)
−0.0920210 + 0.995757i \(0.529333\pi\)
\(4\) −16.3990 20.5636i −1.02493 1.28523i
\(5\) 13.6957 44.4004i 0.547829 1.77602i −0.0790169 0.996873i \(-0.525178\pi\)
0.626846 0.779144i \(-0.284346\pi\)
\(6\) 1.01564 1.75914i 0.0282122 0.0488649i
\(7\) 19.2501 11.1141i 0.392859 0.226817i −0.290539 0.956863i \(-0.593835\pi\)
0.683398 + 0.730046i \(0.260501\pi\)
\(8\) 65.3235 14.9097i 1.02068 0.232963i
\(9\) −79.9988 12.0579i −0.987640 0.148863i
\(10\) 221.533 + 205.552i 2.21533 + 2.05552i
\(11\) 29.6396 37.1669i 0.244956 0.307165i −0.644121 0.764924i \(-0.722776\pi\)
0.889076 + 0.457759i \(0.151348\pi\)
\(12\) 4.62734 + 6.78706i 0.0321343 + 0.0471324i
\(13\) 6.21016 5.76219i 0.0367465 0.0340958i −0.661586 0.749869i \(-0.730116\pi\)
0.698332 + 0.715774i \(0.253926\pi\)
\(14\) 10.8038 + 144.167i 0.0551216 + 0.735547i
\(15\) −5.30165 + 13.5084i −0.0235629 + 0.0600373i
\(16\) −3.32872 + 14.5841i −0.0130028 + 0.0569691i
\(17\) 206.586 63.7233i 0.714830 0.220496i 0.0840545 0.996461i \(-0.473213\pi\)
0.630776 + 0.775965i \(0.282737\pi\)
\(18\) 296.413 434.758i 0.914854 1.34184i
\(19\) −78.7786 522.662i −0.218223 1.44782i −0.782716 0.622379i \(-0.786166\pi\)
0.564493 0.825438i \(-0.309072\pi\)
\(20\) −1137.63 + 446.487i −2.84407 + 1.11622i
\(21\) −6.25463 + 3.01207i −0.0141828 + 0.00683010i
\(22\) 134.152 + 278.569i 0.277173 + 0.575556i
\(23\) 253.456 + 645.795i 0.479122 + 1.22078i 0.942375 + 0.334558i \(0.108587\pi\)
−0.463253 + 0.886226i \(0.653318\pi\)
\(24\) −20.6923 + 3.11886i −0.0359241 + 0.00541468i
\(25\) −1267.43 864.116i −2.02788 1.38259i
\(26\) 16.2409 + 52.6516i 0.0240250 + 0.0778871i
\(27\) 49.2964 + 11.2516i 0.0676220 + 0.0154343i
\(28\) −544.227 213.593i −0.694167 0.272441i
\(29\) −1010.10 + 75.6968i −1.20107 + 0.0900081i −0.660197 0.751093i \(-0.729527\pi\)
−0.540878 + 0.841101i \(0.681908\pi\)
\(30\) −64.1966 69.1874i −0.0713295 0.0768749i
\(31\) 738.096 503.225i 0.768050 0.523647i −0.114752 0.993394i \(-0.536607\pi\)
0.882801 + 0.469747i \(0.155655\pi\)
\(32\) 762.098 + 607.753i 0.744236 + 0.593509i
\(33\) −10.0984 + 10.8835i −0.00927308 + 0.00999400i
\(34\) −209.569 + 1390.40i −0.181288 + 1.20277i
\(35\) −229.825 1006.93i −0.187612 0.821982i
\(36\) 1063.94 + 1842.80i 0.820944 + 1.42192i
\(37\) −143.548 82.8776i −0.104856 0.0605388i 0.446655 0.894706i \(-0.352615\pi\)
−0.551511 + 0.834168i \(0.685949\pi\)
\(38\) 3285.05 + 1013.30i 2.27497 + 0.701735i
\(39\) −2.06857 + 1.64963i −0.00136001 + 0.00108457i
\(40\) 232.657 3104.59i 0.145410 1.94037i
\(41\) 2521.08 + 1214.09i 1.49975 + 0.722242i 0.990389 0.138311i \(-0.0441673\pi\)
0.509362 + 0.860553i \(0.329882\pi\)
\(42\) 45.1515i 0.0255961i
\(43\) 16.3230 1848.93i 0.00882799 0.999961i
\(44\) −1250.35 −0.645840
\(45\) −1631.02 + 3386.84i −0.805440 + 1.67251i
\(46\) −4499.53 337.193i −2.12643 0.159354i
\(47\) −571.675 716.857i −0.258793 0.324517i 0.635412 0.772173i \(-0.280830\pi\)
−0.894206 + 0.447656i \(0.852259\pi\)
\(48\) 1.37708 4.46437i 0.000597689 0.00193766i
\(49\) −953.455 + 1651.43i −0.397108 + 0.687811i
\(50\) 8640.27 4988.46i 3.45611 1.99539i
\(51\) −65.8262 + 15.0244i −0.0253080 + 0.00577639i
\(52\) −220.332 33.2097i −0.0814837 0.0122817i
\(53\) −1834.68 1702.34i −0.653144 0.606029i 0.282375 0.959304i \(-0.408878\pi\)
−0.935520 + 0.353275i \(0.885068\pi\)
\(54\) −205.046 + 257.120i −0.0703177 + 0.0881756i
\(55\) −1244.29 1825.04i −0.411336 0.603319i
\(56\) 1091.78 1013.02i 0.348143 0.323030i
\(57\) 12.3363 + 164.616i 0.00379694 + 0.0506667i
\(58\) 2406.91 6132.72i 0.715492 1.82304i
\(59\) −1304.73 + 5716.40i −0.374815 + 1.64217i 0.338236 + 0.941061i \(0.390170\pi\)
−0.713051 + 0.701112i \(0.752687\pi\)
\(60\) 364.723 112.502i 0.101312 0.0312506i
\(61\) 467.210 685.271i 0.125560 0.184163i −0.758311 0.651892i \(-0.773975\pi\)
0.883872 + 0.467729i \(0.154928\pi\)
\(62\) 865.957 + 5745.25i 0.225275 + 1.49460i
\(63\) −1674.00 + 656.996i −0.421768 + 0.165532i
\(64\) −5927.63 + 2854.60i −1.44718 + 0.696923i
\(65\) −170.791 354.651i −0.0404239 0.0839411i
\(66\) −35.2786 89.8883i −0.00809885 0.0206355i
\(67\) 405.323 61.0926i 0.0902925 0.0136094i −0.103741 0.994604i \(-0.533081\pi\)
0.194033 + 0.980995i \(0.437843\pi\)
\(68\) −4698.18 3203.16i −1.01604 0.692726i
\(69\) −63.8638 207.041i −0.0134139 0.0434869i
\(70\) 6549.05 + 1494.78i 1.33654 + 0.305057i
\(71\) 3802.71 + 1492.45i 0.754356 + 0.296063i 0.711185 0.703005i \(-0.248159\pi\)
0.0431707 + 0.999068i \(0.486254\pi\)
\(72\) −5405.58 + 405.092i −1.04274 + 0.0781428i
\(73\) 3740.48 + 4031.27i 0.701910 + 0.756479i 0.978888 0.204397i \(-0.0655235\pi\)
−0.276978 + 0.960876i \(0.589333\pi\)
\(74\) 890.744 607.299i 0.162663 0.110902i
\(75\) 374.558 + 298.700i 0.0665881 + 0.0531023i
\(76\) −9455.94 + 10191.1i −1.63711 + 1.76438i
\(77\) 157.491 1044.88i 0.0265628 0.176233i
\(78\) −3.82920 16.7768i −0.000629389 0.00275753i
\(79\) −1701.09 2946.37i −0.272566 0.472099i 0.696952 0.717118i \(-0.254539\pi\)
−0.969518 + 0.245019i \(0.921206\pi\)
\(80\) 601.951 + 347.536i 0.0940548 + 0.0543026i
\(81\) 6246.87 + 1926.91i 0.952122 + 0.293691i
\(82\) −14228.9 + 11347.1i −2.11613 + 1.68756i
\(83\) 610.137 8141.71i 0.0885668 1.18184i −0.758977 0.651117i \(-0.774301\pi\)
0.847544 0.530725i \(-0.178080\pi\)
\(84\) 164.509 + 79.2232i 0.0233147 + 0.0112278i
\(85\) 10045.2i 1.39034i
\(86\) 10788.5 + 5313.28i 1.45869 + 0.718399i
\(87\) 316.353 0.0417958
\(88\) 1382.02 2869.79i 0.178463 0.370582i
\(89\) 10710.5 + 802.638i 1.35216 + 0.101330i 0.731013 0.682363i \(-0.239048\pi\)
0.621147 + 0.783694i \(0.286667\pi\)
\(90\) −15243.8 19115.2i −1.88196 2.35990i
\(91\) 55.5050 179.943i 0.00670270 0.0217296i
\(92\) 9123.48 15802.3i 1.07792 1.86701i
\(93\) −241.617 + 139.498i −0.0279358 + 0.0161287i
\(94\) 5813.96 1327.00i 0.657985 0.150181i
\(95\) −24285.3 3660.42i −2.69090 0.405587i
\(96\) −223.163 207.065i −0.0242147 0.0224680i
\(97\) 3043.26 3816.13i 0.323442 0.405583i −0.593353 0.804943i \(-0.702196\pi\)
0.916794 + 0.399359i \(0.130767\pi\)
\(98\) −6986.59 10247.5i −0.727467 1.06700i
\(99\) −2819.29 + 2615.92i −0.287653 + 0.266903i
\(100\) 3015.08 + 40233.5i 0.301508 + 4.02335i
\(101\) −4622.00 + 11776.7i −0.453093 + 1.15446i 0.503748 + 0.863851i \(0.331954\pi\)
−0.956841 + 0.290612i \(0.906141\pi\)
\(102\) 97.7186 428.133i 0.00939240 0.0411508i
\(103\) 14077.4 4342.30i 1.32693 0.409304i 0.451337 0.892354i \(-0.350947\pi\)
0.875593 + 0.483050i \(0.160471\pi\)
\(104\) 319.757 468.998i 0.0295633 0.0433615i
\(105\) 48.0756 + 318.961i 0.00436060 + 0.0289307i
\(106\) 15152.9 5947.09i 1.34861 0.529289i
\(107\) −947.991 + 456.529i −0.0828012 + 0.0398750i −0.474826 0.880080i \(-0.657489\pi\)
0.392025 + 0.919955i \(0.371775\pi\)
\(108\) −577.036 1198.23i −0.0494716 0.102729i
\(109\) 1054.50 + 2686.83i 0.0887554 + 0.226145i 0.968359 0.249563i \(-0.0802870\pi\)
−0.879603 + 0.475708i \(0.842192\pi\)
\(110\) 14205.9 2141.19i 1.17404 0.176958i
\(111\) 42.7723 + 29.1616i 0.00347149 + 0.00236682i
\(112\) 98.0101 + 317.741i 0.00781331 + 0.0253301i
\(113\) 12137.0 + 2770.19i 0.950504 + 0.216946i 0.669543 0.742773i \(-0.266490\pi\)
0.280961 + 0.959719i \(0.409347\pi\)
\(114\) −999.445 392.253i −0.0769040 0.0301826i
\(115\) 32144.8 2408.92i 2.43061 0.182149i
\(116\) 18121.3 + 19530.1i 1.34670 + 1.45140i
\(117\) −566.286 + 386.087i −0.0413679 + 0.0282042i
\(118\) −29815.6 23777.1i −2.14131 1.70764i
\(119\) 3268.58 3522.69i 0.230815 0.248760i
\(120\) −144.917 + 961.460i −0.0100637 + 0.0667681i
\(121\) 2755.06 + 12070.7i 0.188174 + 0.824445i
\(122\) 2697.16 + 4671.62i 0.181212 + 0.313869i
\(123\) −756.828 436.955i −0.0500250 0.0288819i
\(124\) −22452.1 6925.57i −1.46021 0.450414i
\(125\) −33020.7 + 26333.1i −2.11332 + 1.68532i
\(126\) 874.057 11663.5i 0.0550552 0.734661i
\(127\) 6633.48 + 3194.52i 0.411277 + 0.198060i 0.628070 0.778157i \(-0.283845\pi\)
−0.216793 + 0.976218i \(0.569560\pi\)
\(128\) 27194.7i 1.65984i
\(129\) −48.2360 + 575.448i −0.00289862 + 0.0345801i
\(130\) 2560.19 0.151490
\(131\) −2842.45 + 5902.42i −0.165635 + 0.343944i −0.967221 0.253935i \(-0.918275\pi\)
0.801587 + 0.597878i \(0.203989\pi\)
\(132\) 389.407 + 29.1820i 0.0223489 + 0.00167482i
\(133\) −7325.39 9185.75i −0.414121 0.519292i
\(134\) −785.815 + 2547.55i −0.0437634 + 0.141877i
\(135\) 1174.72 2034.68i 0.0644568 0.111642i
\(136\) 12544.8 7242.75i 0.678245 0.391585i
\(137\) 592.116 135.147i 0.0315476 0.00720053i −0.206718 0.978401i \(-0.566278\pi\)
0.238266 + 0.971200i \(0.423421\pi\)
\(138\) 1393.46 + 210.031i 0.0731706 + 0.0110287i
\(139\) −22651.6 21017.6i −1.17238 1.08781i −0.994604 0.103743i \(-0.966918\pi\)
−0.177779 0.984070i \(-0.556891\pi\)
\(140\) −16937.2 + 21238.6i −0.864144 + 1.08360i
\(141\) 161.311 + 236.600i 0.00811383 + 0.0119008i
\(142\) −19476.8 + 18071.8i −0.965917 + 0.896240i
\(143\) −30.0959 401.602i −0.00147175 0.0196392i
\(144\) 442.147 1126.57i 0.0213227 0.0543293i
\(145\) −10473.1 + 45885.8i −0.498127 + 2.18244i
\(146\) −34178.4 + 10542.6i −1.60341 + 0.494588i
\(147\) 335.486 492.068i 0.0155253 0.0227715i
\(148\) 649.776 + 4310.98i 0.0296647 + 0.196813i
\(149\) 34861.5 13682.1i 1.57026 0.616284i 0.588860 0.808235i \(-0.299577\pi\)
0.981404 + 0.191951i \(0.0614815\pi\)
\(150\) −2807.35 + 1351.95i −0.124771 + 0.0600865i
\(151\) −4828.23 10025.9i −0.211755 0.439714i 0.767855 0.640624i \(-0.221324\pi\)
−0.979610 + 0.200910i \(0.935610\pi\)
\(152\) −12938.8 32967.5i −0.560024 1.42692i
\(153\) −17295.0 + 2606.80i −0.738819 + 0.111359i
\(154\) 5678.47 + 3871.52i 0.239436 + 0.163245i
\(155\) −12234.7 39663.8i −0.509247 1.65094i
\(156\) 67.8449 + 15.4852i 0.00278784 + 0.000636306i
\(157\) −10394.3 4079.45i −0.421691 0.165502i 0.145000 0.989432i \(-0.453682\pi\)
−0.566692 + 0.823930i \(0.691777\pi\)
\(158\) 22065.8 1653.61i 0.883906 0.0662396i
\(159\) 531.661 + 572.994i 0.0210301 + 0.0226650i
\(160\) 37422.0 25513.9i 1.46180 0.996635i
\(161\) 12056.5 + 9614.70i 0.465123 + 0.370923i
\(162\) −28920.0 + 31168.3i −1.10197 + 1.18764i
\(163\) 4790.04 31779.8i 0.180287 1.19612i −0.697326 0.716754i \(-0.745627\pi\)
0.877613 0.479370i \(-0.159135\pi\)
\(164\) −16377.0 71752.4i −0.608901 2.66777i
\(165\) 344.926 + 597.429i 0.0126695 + 0.0219441i
\(166\) 45987.8 + 26551.0i 1.66888 + 0.963530i
\(167\) 52318.7 + 16138.2i 1.87596 + 0.578658i 0.994279 + 0.106815i \(0.0340653\pi\)
0.881683 + 0.471843i \(0.156411\pi\)
\(168\) −363.665 + 290.013i −0.0128850 + 0.0102754i
\(169\) −2129.00 + 28409.6i −0.0745423 + 0.994698i
\(170\) 58864.0 + 28347.4i 2.03682 + 0.980879i
\(171\) 42762.2i 1.46241i
\(172\) −38288.4 + 29984.8i −1.29423 + 1.01355i
\(173\) −21653.5 −0.723496 −0.361748 0.932276i \(-0.617820\pi\)
−0.361748 + 0.932276i \(0.617820\pi\)
\(174\) −892.740 + 1853.79i −0.0294867 + 0.0612298i
\(175\) −34001.9 2548.09i −1.11027 0.0832030i
\(176\) 443.384 + 555.985i 0.0143138 + 0.0179489i
\(177\) 539.761 1749.86i 0.0172288 0.0558544i
\(178\) −34928.0 + 60497.1i −1.10239 + 1.90939i
\(179\) 16401.9 9469.63i 0.511903 0.295547i −0.221713 0.975112i \(-0.571165\pi\)
0.733616 + 0.679565i \(0.237831\pi\)
\(180\) 96392.8 22001.0i 2.97509 0.679044i
\(181\) −14958.5 2254.63i −0.456595 0.0688207i −0.0832820 0.996526i \(-0.526540\pi\)
−0.373313 + 0.927705i \(0.621778\pi\)
\(182\) 897.812 + 833.048i 0.0271046 + 0.0251494i
\(183\) −161.501 + 202.516i −0.00482251 + 0.00604724i
\(184\) 26185.2 + 38406.6i 0.773428 + 1.13441i
\(185\) −5645.80 + 5238.54i −0.164961 + 0.153062i
\(186\) −135.604 1809.51i −0.00391964 0.0523039i
\(187\) 3754.73 9566.89i 0.107373 0.273582i
\(188\) −5366.33 + 23511.4i −0.151831 + 0.665217i
\(189\) 1074.01 331.289i 0.0300667 0.00927435i
\(190\) 89982.3 131980.i 2.49258 3.65595i
\(191\) −3919.14 26001.8i −0.107430 0.712749i −0.976094 0.217348i \(-0.930259\pi\)
0.868665 0.495401i \(-0.164979\pi\)
\(192\) 1912.72 750.688i 0.0518859 0.0203637i
\(193\) −55729.9 + 26838.1i −1.49614 + 0.720505i −0.989884 0.141876i \(-0.954687\pi\)
−0.506260 + 0.862381i \(0.668972\pi\)
\(194\) 13774.1 + 28602.2i 0.365982 + 0.759970i
\(195\) 44.9138 + 114.438i 0.00118116 + 0.00300956i
\(196\) 49595.2 7475.27i 1.29100 0.194587i
\(197\) −22151.6 15102.7i −0.570785 0.389155i 0.243256 0.969962i \(-0.421785\pi\)
−0.814041 + 0.580808i \(0.802737\pi\)
\(198\) −7373.04 23902.8i −0.188068 0.609703i
\(199\) 2993.53 + 683.254i 0.0755923 + 0.0172534i 0.260150 0.965568i \(-0.416228\pi\)
−0.184558 + 0.982822i \(0.559085\pi\)
\(200\) −95676.3 37550.2i −2.39191 0.938755i
\(201\) −127.659 + 9.56674i −0.00315981 + 0.000236795i
\(202\) −55966.8 60317.9i −1.37160 1.47824i
\(203\) −18603.3 + 12683.5i −0.451438 + 0.307785i
\(204\) 1388.44 + 1107.24i 0.0333631 + 0.0266062i
\(205\) 88434.0 95309.2i 2.10432 2.26792i
\(206\) −14280.6 + 94745.9i −0.336522 + 2.23268i
\(207\) −12489.3 54719.0i −0.291471 1.27702i
\(208\) 63.3644 + 109.750i 0.00146460 + 0.00253676i
\(209\) −21760.7 12563.5i −0.498173 0.287620i
\(210\) −2004.74 618.382i −0.0454591 0.0140223i
\(211\) 2981.35 2377.54i 0.0669650 0.0534028i −0.589435 0.807816i \(-0.700650\pi\)
0.656400 + 0.754413i \(0.272078\pi\)
\(212\) −4919.36 + 65644.3i −0.109455 + 1.46058i
\(213\) −1149.48 553.560i −0.0253362 0.0122013i
\(214\) 6843.44i 0.149433i
\(215\) −81869.6 26047.1i −1.77111 0.563486i
\(216\) 3387.97 0.0726160
\(217\) 8615.55 17890.4i 0.182963 0.379927i
\(218\) −18720.3 1402.89i −0.393913 0.0295197i
\(219\) −1070.84 1342.80i −0.0223274 0.0279977i
\(220\) −17124.4 + 55515.9i −0.353810 + 1.14702i
\(221\) 915.746 1586.12i 0.0187495 0.0324752i
\(222\) −291.586 + 168.348i −0.00591645 + 0.00341587i
\(223\) 70845.0 16169.9i 1.42462 0.325160i 0.560379 0.828237i \(-0.310656\pi\)
0.864242 + 0.503076i \(0.167799\pi\)
\(224\) 21425.1 + 3229.31i 0.426998 + 0.0643597i
\(225\) 90973.2 + 84410.8i 1.79700 + 1.66737i
\(226\) −50483.3 + 63304.0i −0.988395 + 1.23941i
\(227\) −6706.63 9836.82i −0.130153 0.190899i 0.755631 0.654998i \(-0.227330\pi\)
−0.885783 + 0.464099i \(0.846378\pi\)
\(228\) 3182.80 2953.21i 0.0612266 0.0568100i
\(229\) 1077.34 + 14376.0i 0.0205438 + 0.274137i 0.998011 + 0.0630479i \(0.0200821\pi\)
−0.977467 + 0.211089i \(0.932299\pi\)
\(230\) −76595.9 + 195163.i −1.44794 + 3.68928i
\(231\) −73.4355 + 321.742i −0.00137620 + 0.00602954i
\(232\) −64854.9 + 20005.1i −1.20494 + 0.371676i
\(233\) 19721.9 28926.7i 0.363276 0.532829i −0.600470 0.799647i \(-0.705020\pi\)
0.963747 + 0.266818i \(0.0859723\pi\)
\(234\) −664.384 4407.90i −0.0121335 0.0805008i
\(235\) −39658.3 + 15564.7i −0.718121 + 0.281842i
\(236\) 138946. 66913.0i 2.49473 1.20140i
\(237\) 461.020 + 957.317i 0.00820772 + 0.0170435i
\(238\) 11418.7 + 29094.5i 0.201588 + 0.513637i
\(239\) −64133.0 + 9666.49i −1.12276 + 0.169228i −0.684073 0.729414i \(-0.739793\pi\)
−0.438683 + 0.898642i \(0.644555\pi\)
\(240\) −179.360 122.285i −0.00311389 0.00212301i
\(241\) −21925.1 71079.6i −0.377493 1.22380i −0.922706 0.385504i \(-0.874028\pi\)
0.545214 0.838297i \(-0.316449\pi\)
\(242\) −78507.7 17918.9i −1.34054 0.305971i
\(243\) −5713.13 2242.24i −0.0967523 0.0379725i
\(244\) −21753.4 + 1630.19i −0.365383 + 0.0273817i
\(245\) 60266.1 + 64951.4i 1.00402 + 1.08207i
\(246\) 4696.26 3201.85i 0.0776035 0.0529092i
\(247\) −3500.90 2791.88i −0.0573834 0.0457617i
\(248\) 40712.1 43877.2i 0.661942 0.713403i
\(249\) −380.041 + 2521.41i −0.00612960 + 0.0406672i
\(250\) −61125.7 267809.i −0.978011 4.28494i
\(251\) 13525.2 + 23426.4i 0.214683 + 0.371841i 0.953174 0.302421i \(-0.0977950\pi\)
−0.738492 + 0.674263i \(0.764462\pi\)
\(252\) 40962.1 + 23649.5i 0.645031 + 0.372409i
\(253\) 31514.5 + 9720.95i 0.492345 + 0.151868i
\(254\) −37439.0 + 29856.6i −0.580306 + 0.462779i
\(255\) −234.447 + 3128.48i −0.00360549 + 0.0481120i
\(256\) 64516.1 + 31069.3i 0.984438 + 0.474080i
\(257\) 37857.3i 0.573169i −0.958055 0.286585i \(-0.907480\pi\)
0.958055 0.286585i \(-0.0925200\pi\)
\(258\) −3235.94 1906.56i −0.0486140 0.0286425i
\(259\) −3684.43 −0.0549251
\(260\) −4492.13 + 9328.00i −0.0664516 + 0.137988i
\(261\) 81719.9 + 6124.06i 1.19963 + 0.0898997i
\(262\) −26566.2 33312.9i −0.387014 0.485300i
\(263\) −31868.3 + 103314.i −0.460731 + 1.49365i 0.365764 + 0.930708i \(0.380808\pi\)
−0.826495 + 0.562944i \(0.809668\pi\)
\(264\) −497.393 + 861.510i −0.00713660 + 0.0123610i
\(265\) −100712. + 58145.9i −1.43413 + 0.827995i
\(266\) 74499.6 17004.0i 1.05291 0.240319i
\(267\) −3316.93 499.946i −0.0465279 0.00701295i
\(268\) −7903.16 7333.06i −0.110035 0.102098i
\(269\) −36699.8 + 46020.1i −0.507177 + 0.635980i −0.967831 0.251600i \(-0.919043\pi\)
0.460654 + 0.887580i \(0.347615\pi\)
\(270\) 8607.98 + 12625.6i 0.118079 + 0.173190i
\(271\) 81420.0 75546.7i 1.10864 1.02867i 0.109245 0.994015i \(-0.465157\pi\)
0.999399 0.0346571i \(-0.0110339\pi\)
\(272\) 241.679 + 3224.99i 0.00326664 + 0.0435903i
\(273\) −21.4862 + 54.7458i −0.000288293 + 0.000734557i
\(274\) −878.993 + 3851.12i −0.0117080 + 0.0512963i
\(275\) −69682.5 + 21494.2i −0.921422 + 0.284221i
\(276\) −3210.22 + 4708.53i −0.0421422 + 0.0618112i
\(277\) 13668.3 + 90683.0i 0.178137 + 1.18186i 0.881904 + 0.471430i \(0.156262\pi\)
−0.703767 + 0.710431i \(0.748500\pi\)
\(278\) 187083. 73424.8i 2.42073 0.950065i
\(279\) −65114.6 + 31357.6i −0.836508 + 0.402841i
\(280\) −30025.9 62349.4i −0.382983 0.795273i
\(281\) −33183.1 84549.0i −0.420246 1.07077i −0.971627 0.236516i \(-0.923994\pi\)
0.551381 0.834253i \(-0.314101\pi\)
\(282\) −1841.67 + 277.586i −0.0231586 + 0.00349060i
\(283\) 57107.1 + 38934.9i 0.713045 + 0.486146i 0.864701 0.502288i \(-0.167508\pi\)
−0.151656 + 0.988433i \(0.548460\pi\)
\(284\) −31670.2 102672.i −0.392657 1.27296i
\(285\) 7477.97 + 1706.80i 0.0920649 + 0.0210132i
\(286\) 2438.27 + 956.952i 0.0298092 + 0.0116992i
\(287\) 62024.5 4648.10i 0.753008 0.0564302i
\(288\) −53638.8 57808.8i −0.646686 0.696962i
\(289\) −30391.2 + 20720.4i −0.363875 + 0.248086i
\(290\) −239331. 190860.i −2.84579 2.26944i
\(291\) −1036.86 + 1117.47i −0.0122443 + 0.0131962i
\(292\) 21557.8 143027.i 0.252836 1.67746i
\(293\) 16628.6 + 72854.9i 0.193696 + 0.848640i 0.974594 + 0.223980i \(0.0719051\pi\)
−0.780897 + 0.624660i \(0.785238\pi\)
\(294\) 1936.73 + 3354.52i 0.0224066 + 0.0388093i
\(295\) 235941. + 136221.i 2.71119 + 1.56531i
\(296\) −10612.8 3273.60i −0.121128 0.0373630i
\(297\) 1879.31 1498.70i 0.0213052 0.0169904i
\(298\) −18202.5 + 242895.i −0.204973 + 2.73518i
\(299\) 5295.19 + 2550.03i 0.0592297 + 0.0285235i
\(300\) 12600.7i 0.140007i
\(301\) −20234.9 35773.5i −0.223340 0.394846i
\(302\) 72375.9 0.793561
\(303\) 1714.33 3559.84i 0.0186728 0.0387744i
\(304\) 7884.78 + 590.883i 0.0853184 + 0.00639373i
\(305\) −24027.6 30129.6i −0.258291 0.323887i
\(306\) 33530.5 108703.i 0.358094 1.16091i
\(307\) 23551.2 40791.8i 0.249882 0.432809i −0.713611 0.700543i \(-0.752941\pi\)
0.963493 + 0.267734i \(0.0862747\pi\)
\(308\) −24069.3 + 13896.4i −0.253724 + 0.146488i
\(309\) −4485.60 + 1023.81i −0.0469790 + 0.0107226i
\(310\) 266951. + 40236.5i 2.77785 + 0.418694i
\(311\) −55469.7 51468.4i −0.573502 0.532132i 0.339223 0.940706i \(-0.389836\pi\)
−0.912725 + 0.408574i \(0.866026\pi\)
\(312\) −110.531 + 138.601i −0.00113547 + 0.00142383i
\(313\) 42306.4 + 62052.1i 0.431835 + 0.633386i 0.979053 0.203604i \(-0.0652656\pi\)
−0.547218 + 0.836990i \(0.684313\pi\)
\(314\) 53237.5 49397.2i 0.539956 0.501006i
\(315\) 6244.29 + 83324.3i 0.0629306 + 0.839751i
\(316\) −32692.0 + 83297.9i −0.327392 + 0.834181i
\(317\) 21763.3 95351.1i 0.216574 0.948871i −0.743415 0.668831i \(-0.766795\pi\)
0.959988 0.280040i \(-0.0903479\pi\)
\(318\) −4858.02 + 1498.50i −0.0480402 + 0.0148184i
\(319\) −27125.7 + 39786.1i −0.266563 + 0.390976i
\(320\) 45562.2 + 302285.i 0.444943 + 2.95200i
\(321\) 305.897 120.056i 0.00296869 0.00116512i
\(322\) −90364.1 + 43517.1i −0.871534 + 0.419709i
\(323\) −49580.3 102955.i −0.475230 0.986826i
\(324\) −62818.0 160058.i −0.598404 1.52471i
\(325\) −12850.1 + 1936.84i −0.121658 + 0.0183370i
\(326\) 172709. + 117751.i 1.62510 + 1.10797i
\(327\) −265.705 861.396i −0.00248488 0.00805577i
\(328\) 182787. + 41720.0i 1.69902 + 0.387790i
\(329\) −18972.0 7445.96i −0.175275 0.0687906i
\(330\) −4474.25 + 335.298i −0.0410858 + 0.00307896i
\(331\) 34084.4 + 36734.2i 0.311099 + 0.335285i 0.869175 0.494505i \(-0.164651\pi\)
−0.558076 + 0.829790i \(0.688460\pi\)
\(332\) −177429. + 120969.i −1.60971 + 1.09748i
\(333\) 10484.4 + 8361.01i 0.0945483 + 0.0753998i
\(334\) −242210. + 261040.i −2.17120 + 2.33999i
\(335\) 2838.65 18833.2i 0.0252943 0.167817i
\(336\) −23.1084 101.245i −0.000204687 0.000896794i
\(337\) −54597.2 94565.0i −0.480740 0.832666i 0.519016 0.854765i \(-0.326299\pi\)
−0.999756 + 0.0220986i \(0.992965\pi\)
\(338\) −160469. 92646.8i −1.40462 0.810956i
\(339\) −3715.28 1146.01i −0.0323290 0.00997217i
\(340\) −206567. + 164731.i −1.78691 + 1.42501i
\(341\) 3173.55 42348.1i 0.0272921 0.364188i
\(342\) −250582. 120674.i −2.14239 1.03172i
\(343\) 95756.7i 0.813919i
\(344\) −26500.6 121022.i −0.223944 1.02270i
\(345\) −10067.4 −0.0845821
\(346\) 61105.6 126887.i 0.510422 1.05990i
\(347\) 121056. + 9071.93i 1.00538 + 0.0753426i 0.567229 0.823560i \(-0.308015\pi\)
0.438148 + 0.898903i \(0.355635\pi\)
\(348\) −5187.86 6505.36i −0.0428380 0.0537172i
\(349\) 9530.70 30897.8i 0.0782481 0.253674i −0.907994 0.418984i \(-0.862386\pi\)
0.986242 + 0.165310i \(0.0528625\pi\)
\(350\) 110884. 192057.i 0.905176 1.56781i
\(351\) 370.973 214.181i 0.00301112 0.00173847i
\(352\) 45176.6 10311.3i 0.364610 0.0832198i
\(353\) −79144.1 11929.1i −0.635140 0.0957319i −0.176423 0.984314i \(-0.556453\pi\)
−0.458717 + 0.888583i \(0.651691\pi\)
\(354\) 8730.81 + 8101.00i 0.0696703 + 0.0646446i
\(355\) 118346. 148402.i 0.939070 1.17756i
\(356\) −159135. 233409.i −1.25564 1.84169i
\(357\) −1100.18 + 1020.82i −0.00863231 + 0.00800962i
\(358\) 9205.31 + 122836.i 0.0718245 + 0.958431i
\(359\) −9587.61 + 24428.8i −0.0743912 + 0.189546i −0.963232 0.268670i \(-0.913416\pi\)
0.888841 + 0.458215i \(0.151511\pi\)
\(360\) −56047.0 + 245558.i −0.432462 + 1.89474i
\(361\) −142438. + 43936.3i −1.09298 + 0.337139i
\(362\) 55424.5 81292.8i 0.422946 0.620347i
\(363\) −576.313 3823.59i −0.00437366 0.0290174i
\(364\) −4610.51 + 1809.49i −0.0347973 + 0.0136569i
\(365\) 230219. 110868.i 1.72805 0.832183i
\(366\) −730.970 1517.87i −0.00545679 0.0113311i
\(367\) −30272.6 77133.3i −0.224759 0.572677i 0.773361 0.633966i \(-0.218574\pi\)
−0.998120 + 0.0612890i \(0.980479\pi\)
\(368\) −10262.0 + 1546.75i −0.0757769 + 0.0114215i
\(369\) −187044. 127525.i −1.37370 0.936572i
\(370\) −14765.0 47866.8i −0.107852 0.349648i
\(371\) −54237.7 12379.4i −0.394052 0.0899398i
\(372\) 6830.84 + 2680.91i 0.0493615 + 0.0193730i
\(373\) −99318.7 + 7442.91i −0.713861 + 0.0534965i −0.426709 0.904389i \(-0.640327\pi\)
−0.287151 + 0.957885i \(0.592708\pi\)
\(374\) 45465.2 + 48999.9i 0.325039 + 0.350309i
\(375\) 10898.5 7430.49i 0.0775006 0.0528390i
\(376\) −48031.9 38304.1i −0.339746 0.270938i
\(377\) −5836.73 + 6290.50i −0.0410664 + 0.0442591i
\(378\) −1089.52 + 7228.49i −0.00762520 + 0.0505899i
\(379\) 19246.8 + 84325.9i 0.133993 + 0.587060i 0.996687 + 0.0813344i \(0.0259182\pi\)
−0.862694 + 0.505726i \(0.831225\pi\)
\(380\) 322983. + 559422.i 2.23672 + 3.87411i
\(381\) −1991.37 1149.72i −0.0137183 0.00792029i
\(382\) 163427. + 50410.7i 1.11995 + 0.345458i
\(383\) 37850.4 30184.7i 0.258031 0.205773i −0.485926 0.874000i \(-0.661518\pi\)
0.743958 + 0.668227i \(0.232946\pi\)
\(384\) −634.702 + 8469.51i −0.00430435 + 0.0574375i
\(385\) −44236.3 21303.1i −0.298440 0.143721i
\(386\) 402308.i 2.70012i
\(387\) −23600.0 + 147715.i −0.157576 + 0.986287i
\(388\) −128380. −0.852773
\(389\) 76549.7 158957.i 0.505877 1.05046i −0.479098 0.877762i \(-0.659036\pi\)
0.984974 0.172702i \(-0.0552497\pi\)
\(390\) −797.342 59.7525i −0.00524222 0.000392850i
\(391\) 93512.6 + 117261.i 0.611669 + 0.767009i
\(392\) −37660.7 + 122093.i −0.245085 + 0.794546i
\(393\) 1023.01 1771.90i 0.00662360 0.0114724i
\(394\) 151011. 87186.5i 0.972786 0.561639i
\(395\) −154118. + 35176.3i −0.987775 + 0.225453i
\(396\) 100026. + 15076.5i 0.637857 + 0.0961415i
\(397\) 11232.7 + 10422.4i 0.0712692 + 0.0661282i 0.715003 0.699121i \(-0.246425\pi\)
−0.643734 + 0.765249i \(0.722616\pi\)
\(398\) −12451.5 + 15613.6i −0.0786057 + 0.0985685i
\(399\) 2067.03 + 3031.77i 0.0129838 + 0.0190437i
\(400\) 16821.3 15607.8i 0.105133 0.0975491i
\(401\) 13720.2 + 183083.i 0.0853239 + 1.13857i 0.861399 + 0.507929i \(0.169589\pi\)
−0.776075 + 0.630640i \(0.782792\pi\)
\(402\) 304.191 775.067i 0.00188233 0.00479609i
\(403\) 1684.02 7378.16i 0.0103690 0.0454295i
\(404\) 317967. 98079.9i 1.94814 0.600921i
\(405\) 171111. 250973.i 1.04320 1.53009i
\(406\) −21826.0 144806.i −0.132410 0.878485i
\(407\) −7335.02 + 2878.78i −0.0442805 + 0.0173788i
\(408\) −4075.99 + 1962.89i −0.0244857 + 0.0117917i
\(409\) −22574.4 46876.2i −0.134949 0.280224i 0.822533 0.568717i \(-0.192560\pi\)
−0.957482 + 0.288493i \(0.906846\pi\)
\(410\) 308943. + 787174.i 1.83785 + 4.68277i
\(411\) −187.562 + 28.2705i −0.00111036 + 0.000167359i
\(412\) −320148. 218273.i −1.88607 1.28590i
\(413\) 38416.2 + 124542.i 0.225224 + 0.730158i
\(414\) 355892. + 81230.0i 2.07643 + 0.473932i
\(415\) −353139. 138597.i −2.05045 0.804743i
\(416\) 8234.74 617.109i 0.0475843 0.00356595i
\(417\) 6564.07 + 7074.39i 0.0377486 + 0.0406833i
\(418\) 135029. 92061.3i 0.772814 0.526896i
\(419\) 64767.7 + 51650.5i 0.368919 + 0.294203i 0.790348 0.612659i \(-0.209900\pi\)
−0.421429 + 0.906861i \(0.638471\pi\)
\(420\) 5770.61 6219.23i 0.0327132 0.0352564i
\(421\) −28537.9 + 189337.i −0.161012 + 1.06824i 0.751660 + 0.659551i \(0.229253\pi\)
−0.912672 + 0.408693i \(0.865985\pi\)
\(422\) 5518.87 + 24179.7i 0.0309903 + 0.135777i
\(423\) 37089.5 + 64240.9i 0.207286 + 0.359030i
\(424\) −145229. 83848.0i −0.807833 0.466403i
\(425\) −316897. 97749.6i −1.75444 0.541175i
\(426\) 6487.61 5173.69i 0.0357491 0.0285090i
\(427\) 1377.70 18384.1i 0.00755613 0.100830i
\(428\) 24934.0 + 12007.6i 0.136114 + 0.0655492i
\(429\) 125.777i 0.000683418i
\(430\) 383668. 406243.i 2.07500 2.19709i
\(431\) −237783. −1.28005 −0.640023 0.768356i \(-0.721075\pi\)
−0.640023 + 0.768356i \(0.721075\pi\)
\(432\) −328.188 + 681.490i −0.00175855 + 0.00365167i
\(433\) 105222. + 7885.26i 0.561214 + 0.0420572i 0.352318 0.935880i \(-0.385394\pi\)
0.208897 + 0.977938i \(0.433013\pi\)
\(434\) 80522.8 + 100972.i 0.427503 + 0.536072i
\(435\) 4332.68 14046.2i 0.0228970 0.0742301i
\(436\) 37958.3 65745.7i 0.199679 0.345855i
\(437\) 317565. 183346.i 1.66292 0.960085i
\(438\) 10890.5 2485.69i 0.0567677 0.0129569i
\(439\) 40580.9 + 6116.59i 0.210568 + 0.0317380i 0.253479 0.967341i \(-0.418425\pi\)
−0.0429110 + 0.999079i \(0.513663\pi\)
\(440\) −108492. 100666.i −0.560393 0.519969i
\(441\) 96188.1 120616.i 0.494589 0.620195i
\(442\) 6710.27 + 9842.17i 0.0343476 + 0.0503786i
\(443\) −35858.2 + 33271.6i −0.182718 + 0.169538i −0.766229 0.642568i \(-0.777869\pi\)
0.583511 + 0.812105i \(0.301679\pi\)
\(444\) −101.751 1357.77i −0.000516147 0.00688750i
\(445\) 182325. 464556.i 0.920717 2.34595i
\(446\) −105169. + 460775.i −0.528710 + 2.31643i
\(447\) −11176.6 + 3447.51i −0.0559362 + 0.0172540i
\(448\) −82381.4 + 120831.i −0.410462 + 0.602038i
\(449\) 11755.3 + 77991.4i 0.0583098 + 0.386860i 0.998882 + 0.0472673i \(0.0150512\pi\)
−0.940572 + 0.339593i \(0.889711\pi\)
\(450\) −751362. + 294888.i −3.71043 + 1.45624i
\(451\) 119848. 57715.6i 0.589219 0.283753i
\(452\) −142069. 295009.i −0.695379 1.44397i
\(453\) 1269.70 + 3235.15i 0.00618736 + 0.0157651i
\(454\) 76568.6 11540.9i 0.371483 0.0559921i
\(455\) −7229.36 4928.89i −0.0349202 0.0238082i
\(456\) 3260.22 + 10569.4i 0.0156789 + 0.0508299i
\(457\) −96441.1 22012.1i −0.461774 0.105397i −0.0146965 0.999892i \(-0.504678\pi\)
−0.447078 + 0.894495i \(0.647535\pi\)
\(458\) −87282.3 34255.8i −0.416097 0.163306i
\(459\) 10900.9 816.912i 0.0517414 0.00387748i
\(460\) −576678. 621511.i −2.72532 2.93720i
\(461\) −126737. + 86408.1i −0.596353 + 0.406586i −0.823535 0.567266i \(-0.808001\pi\)
0.227182 + 0.973852i \(0.427049\pi\)
\(462\) −1678.14 1338.27i −0.00786221 0.00626990i
\(463\) −276812. + 298332.i −1.29129 + 1.39168i −0.415050 + 0.909799i \(0.636236\pi\)
−0.876238 + 0.481879i \(0.839955\pi\)
\(464\) 2258.39 14983.4i 0.0104897 0.0695945i
\(465\) 2884.63 + 12638.4i 0.0133409 + 0.0584503i
\(466\) 113853. + 197199.i 0.524290 + 0.908098i
\(467\) −3716.04 2145.46i −0.0170391 0.00983754i 0.491456 0.870902i \(-0.336465\pi\)
−0.508495 + 0.861065i \(0.669798\pi\)
\(468\) 17225.9 + 5313.47i 0.0786483 + 0.0242598i
\(469\) 7123.52 5680.82i 0.0323854 0.0258265i
\(470\) 20707.1 276316.i 0.0937395 1.25087i
\(471\) 3141.97 + 1513.09i 0.0141632 + 0.00682062i
\(472\) 392868.i 1.76345i
\(473\) −68235.1 55408.2i −0.304990 0.247658i
\(474\) −6910.76 −0.0307588
\(475\) −351794. + 730509.i −1.55920 + 3.23771i
\(476\) −126041. 9445.44i −0.556284 0.0416877i
\(477\) 126246. + 158307.i 0.554856 + 0.695768i
\(478\) 124337. 403091.i 0.544183 1.76420i
\(479\) 43706.9 75702.6i 0.190493 0.329944i −0.754921 0.655816i \(-0.772325\pi\)
0.945414 + 0.325872i \(0.105658\pi\)
\(480\) −12250.1 + 7072.62i −0.0531690 + 0.0306971i
\(481\) −1369.02 + 312.469i −0.00591723 + 0.00135057i
\(482\) 478391. + 72105.8i 2.05915 + 0.310368i
\(483\) −3530.45 3275.78i −0.0151334 0.0140417i
\(484\) 203037. 254601.i 0.866733 1.08685i
\(485\) −127758. 187387.i −0.543132 0.796628i
\(486\) 29261.6 27150.8i 0.123887 0.114950i
\(487\) −11565.5 154331.i −0.0487649 0.650723i −0.967015 0.254721i \(-0.918016\pi\)
0.918250 0.396002i \(-0.129603\pi\)
\(488\) 20302.6 51730.2i 0.0852535 0.217222i
\(489\) −2233.52 + 9785.68i −0.00934054 + 0.0409236i
\(490\) −550678. + 169862.i −2.29353 + 0.707462i
\(491\) −27637.8 + 40537.3i −0.114641 + 0.168148i −0.879271 0.476322i \(-0.841970\pi\)
0.764629 + 0.644470i \(0.222922\pi\)
\(492\) 3425.81 + 22728.7i 0.0141525 + 0.0938956i
\(493\) −203850. + 80005.1i −0.838718 + 0.329173i
\(494\) 26239.6 12636.3i 0.107523 0.0517805i
\(495\) 77535.7 + 161005.i 0.316440 + 0.657094i
\(496\) 4882.17 + 12439.6i 0.0198449 + 0.0505640i
\(497\) 89789.7 13533.6i 0.363508 0.0547900i
\(498\) −13702.7 9342.35i −0.0552520 0.0376702i
\(499\) 111179. + 360434.i 0.446500 + 1.44752i 0.847183 + 0.531302i \(0.178297\pi\)
−0.400682 + 0.916217i \(0.631227\pi\)
\(500\) 1.08301e6 + 247190.i 4.33204 + 0.988759i
\(501\) −15917.4 6247.14i −0.0634159 0.0248889i
\(502\) −175444. + 13147.7i −0.696195 + 0.0521726i
\(503\) 146775. + 158185.i 0.580116 + 0.625216i 0.953112 0.302616i \(-0.0978601\pi\)
−0.372996 + 0.927833i \(0.621670\pi\)
\(504\) −99555.8 + 67876.0i −0.391927 + 0.267212i
\(505\) 459587. + 366509.i 1.80213 + 1.43715i
\(506\) −145897. + 157240.i −0.569830 + 0.614130i
\(507\) 1326.11 8798.17i 0.00515898 0.0342276i
\(508\) −43091.3 188795.i −0.166979 0.731583i
\(509\) −181394. 314184.i −0.700144 1.21268i −0.968416 0.249341i \(-0.919786\pi\)
0.268272 0.963343i \(-0.413547\pi\)
\(510\) −17671.0 10202.3i −0.0679391 0.0392247i
\(511\) 116808. + 36030.6i 0.447334 + 0.137984i
\(512\) −23938.6 + 19090.4i −0.0913185 + 0.0728241i
\(513\) 1997.27 26651.7i 0.00758931 0.101272i
\(514\) 221840. + 106832.i 0.839678 + 0.404368i
\(515\) 684513.i 2.58088i
\(516\) 12624.3 8444.84i 0.0474142 0.0317170i
\(517\) −43587.6 −0.163073
\(518\) 10397.4 21590.4i 0.0387493 0.0804637i
\(519\) 6743.75 + 505.374i 0.0250361 + 0.00187620i
\(520\) −16444.4 20620.6i −0.0608150 0.0762597i
\(521\) −109353. + 354515.i −0.402862 + 1.30605i 0.496193 + 0.868212i \(0.334731\pi\)
−0.899055 + 0.437835i \(0.855745\pi\)
\(522\) −266498. + 461588.i −0.978031 + 1.69400i
\(523\) 86138.1 49731.9i 0.314914 0.181816i −0.334209 0.942499i \(-0.608469\pi\)
0.649123 + 0.760683i \(0.275136\pi\)
\(524\) 167988. 38342.3i 0.611810 0.139642i
\(525\) 10530.1 + 1587.15i 0.0382043 + 0.00575837i
\(526\) −515480. 478295.i −1.86312 1.72872i
\(527\) 120413. 150993.i 0.433563 0.543671i
\(528\) −125.111 183.504i −0.000448773 0.000658230i
\(529\) −147673. + 137021.i −0.527704 + 0.489638i
\(530\) −56522.9 754246.i −0.201221 2.68511i
\(531\) 173305. 441573.i 0.614641 1.56608i
\(532\) −68763.7 + 301273.i −0.242961 + 1.06448i
\(533\) 22652.1 6987.26i 0.0797360 0.0245953i
\(534\) 12289.9 18026.0i 0.0430989 0.0632145i
\(535\) 7286.64 + 48343.7i 0.0254577 + 0.168901i
\(536\) 25566.2 10034.0i 0.0889892 0.0349257i
\(537\) −5329.20 + 2566.41i −0.0184805 + 0.00889974i
\(538\) −166107. 344925.i −0.573883 1.19168i
\(539\) 33118.6 + 84384.9i 0.113997 + 0.290460i
\(540\) −61104.8 + 9210.06i −0.209550 + 0.0315846i
\(541\) 130638. + 89067.4i 0.446349 + 0.304315i 0.765556 0.643370i \(-0.222464\pi\)
−0.319207 + 0.947685i \(0.603416\pi\)
\(542\) 212930. + 690303.i 0.724835 + 2.34986i
\(543\) 4606.05 + 1051.30i 0.0156217 + 0.00356555i
\(544\) 196167. + 76989.8i 0.662869 + 0.260157i
\(545\) 133739. 10022.3i 0.450260 0.0337423i
\(546\) −260.171 280.398i −0.000872718 0.000940567i
\(547\) 36661.5 24995.4i 0.122528 0.0835383i −0.500505 0.865733i \(-0.666852\pi\)
0.623033 + 0.782195i \(0.285900\pi\)
\(548\) −12489.2 9959.80i −0.0415885 0.0331657i
\(549\) −45639.2 + 49187.3i −0.151423 + 0.163196i
\(550\) 70688.6 468988.i 0.233681 1.55037i
\(551\) 119138. + 521979.i 0.392418 + 1.71929i
\(552\) −7258.72 12572.5i −0.0238222 0.0412613i
\(553\) −65492.2 37812.0i −0.214161 0.123646i
\(554\) −569964. 175811.i −1.85707 0.572830i
\(555\) 1880.59 1499.72i 0.00610530 0.00486882i
\(556\) −60736.1 + 810467.i −0.196471 + 2.62172i
\(557\) −108570. 52284.7i −0.349946 0.168525i 0.250650 0.968078i \(-0.419356\pi\)
−0.600596 + 0.799553i \(0.705070\pi\)
\(558\) 470055.i 1.50966i
\(559\) −10552.5 11576.2i −0.0337701 0.0370461i
\(560\) 15450.2 0.0492671
\(561\) −1392.65 + 2891.87i −0.00442504 + 0.00918869i
\(562\) 589090. + 44146.2i 1.86513 + 0.139772i
\(563\) −183237. 229771.i −0.578090 0.724902i 0.403696 0.914893i \(-0.367725\pi\)
−0.981786 + 0.189992i \(0.939154\pi\)
\(564\) 2220.02 7197.14i 0.00697909 0.0226257i
\(565\) 289222. 500948.i 0.906014 1.56926i
\(566\) −389309. + 224768.i −1.21524 + 0.701619i
\(567\) 141669. 32335.0i 0.440664 0.100579i
\(568\) 270658. + 40795.1i 0.838927 + 0.126448i
\(569\) −246125. 228371.i −0.760207 0.705369i 0.201488 0.979491i \(-0.435422\pi\)
−0.961695 + 0.274122i \(0.911613\pi\)
\(570\) −31104.3 + 39003.6i −0.0957350 + 0.120048i
\(571\) 104414. + 153148.i 0.320249 + 0.469719i 0.952281 0.305224i \(-0.0987313\pi\)
−0.632032 + 0.774942i \(0.717779\pi\)
\(572\) −7764.85 + 7204.73i −0.0237324 + 0.0220204i
\(573\) 613.714 + 8189.45i 0.00186920 + 0.0249428i
\(574\) −147794. + 376574.i −0.448574 + 1.14295i
\(575\) 236805. 1.03751e6i 0.716235 3.13803i
\(576\) 508624. 156890.i 1.53303 0.472879i
\(577\) −37225.9 + 54600.4i −0.111813 + 0.164000i −0.878066 0.478539i \(-0.841167\pi\)
0.766253 + 0.642539i \(0.222119\pi\)
\(578\) −35655.9 236562.i −0.106727 0.708090i
\(579\) 17982.9 7057.75i 0.0536416 0.0210528i
\(580\) 1.11533e6 537113.i 3.31548 1.59665i
\(581\) −78742.2 163510.i −0.233268 0.484386i
\(582\) −3622.25 9229.33i −0.0106938 0.0272473i
\(583\) −117650. + 17732.9i −0.346142 + 0.0521725i
\(584\) 304446. + 207568.i 0.892656 + 0.608603i
\(585\) 9386.74 + 30431.1i 0.0274286 + 0.0889212i
\(586\) −473847. 108153.i −1.37989 0.314950i
\(587\) 589451. + 231342.i 1.71069 + 0.671396i 0.999500 0.0316046i \(-0.0100617\pi\)
0.711189 + 0.703001i \(0.248157\pi\)
\(588\) −15620.3 + 1170.58i −0.0451789 + 0.00338569i
\(589\) −321163. 346131.i −0.925752 0.997723i
\(590\) −1.46406e6 + 998180.i −4.20586 + 2.86751i
\(591\) 6546.39 + 5220.57i 0.0187425 + 0.0149466i
\(592\) 1686.53 1817.65i 0.00481227 0.00518640i
\(593\) −60776.3 + 403225.i −0.172832 + 1.14667i 0.719235 + 0.694766i \(0.244492\pi\)
−0.892068 + 0.451901i \(0.850746\pi\)
\(594\) 3478.86 + 15241.9i 0.00985971 + 0.0431982i
\(595\) −111643. 193372.i −0.315354 0.546210i
\(596\) −853046. 492506.i −2.40148 1.38650i
\(597\) −916.356 282.658i −0.00257108 0.000793073i
\(598\) −29885.8 + 23833.1i −0.0835724 + 0.0666467i
\(599\) −34908.2 + 465817.i −0.0972912 + 1.29826i 0.708352 + 0.705859i \(0.249439\pi\)
−0.805643 + 0.592401i \(0.798180\pi\)
\(600\) 28921.0 + 13927.6i 0.0803360 + 0.0386878i
\(601\) 235749.i 0.652681i 0.945252 + 0.326340i \(0.105816\pi\)
−0.945252 + 0.326340i \(0.894184\pi\)
\(602\) 266731. 17622.3i 0.736005 0.0486261i
\(603\) −33162.0 −0.0912024
\(604\) −126991. + 263700.i −0.348097 + 0.722831i
\(605\) 573676. + 42991.1i 1.56731 + 0.117454i
\(606\) 16022.5 + 20091.6i 0.0436300 + 0.0547103i
\(607\) 43369.3 140600.i 0.117708 0.381600i −0.877477 0.479619i \(-0.840775\pi\)
0.995184 + 0.0980199i \(0.0312509\pi\)
\(608\) 257612. 446197.i 0.696882 1.20704i
\(609\) 6089.82 3515.96i 0.0164199 0.00948003i
\(610\) 244361. 55773.9i 0.656709 0.149890i
\(611\) −7680.86 1157.70i −0.0205744 0.00310109i
\(612\) 337225. + 312899.i 0.900363 + 0.835414i
\(613\) 218600. 274116.i 0.581741 0.729480i −0.400668 0.916223i \(-0.631222\pi\)
0.982409 + 0.186743i \(0.0597933\pi\)
\(614\) 172575. + 253121.i 0.457763 + 0.671415i
\(615\) −29766.3 + 27619.1i −0.0786999 + 0.0730228i
\(616\) −5291.01 70603.6i −0.0139437 0.186065i
\(617\) −220228. + 561131.i −0.578497 + 1.47399i 0.279405 + 0.960173i \(0.409863\pi\)
−0.857902 + 0.513813i \(0.828232\pi\)
\(618\) 6658.84 29174.3i 0.0174350 0.0763877i
\(619\) −584353. + 180249.i −1.52509 + 0.470427i −0.940181 0.340675i \(-0.889344\pi\)
−0.584905 + 0.811102i \(0.698868\pi\)
\(620\) −614996. + 902034.i −1.59989 + 2.34660i
\(621\) 5228.25 + 34687.1i 0.0135573 + 0.0899467i
\(622\) 458133. 179804.i 1.18416 0.464749i
\(623\) 215098. 103586.i 0.554193 0.266885i
\(624\) −17.1727 35.6594i −4.41031e−5 9.15810e-5i
\(625\) 366696. + 934325.i 0.938741 + 2.39187i
\(626\) −483007. + 72801.5i −1.23255 + 0.185777i
\(627\) 6483.91 + 4420.66i 0.0164931 + 0.0112448i
\(628\) 86566.8 + 280643.i 0.219499 + 0.711597i
\(629\) −34936.3 7973.98i −0.0883030 0.0201546i
\(630\) −505893. 198548.i −1.27461 0.500247i
\(631\) 176555. 13231.0i 0.443426 0.0332302i 0.148853 0.988859i \(-0.452442\pi\)
0.294572 + 0.955629i \(0.404823\pi\)
\(632\) −155050. 167104.i −0.388185 0.418364i
\(633\) −983.998 + 670.879i −0.00245577 + 0.00167431i
\(634\) 497332. + 396609.i 1.23728 + 0.986698i
\(635\) 232688. 250778.i 0.577068 0.621931i
\(636\) 3064.16 20329.4i 0.00757526 0.0502586i
\(637\) 3594.76 + 15749.7i 0.00885912 + 0.0388144i
\(638\) −156594. 271229.i −0.384710 0.666338i
\(639\) −286216. 165247.i −0.700959 0.404699i
\(640\) −1.20746e6 372451.i −2.94789 0.909305i
\(641\) −413423. + 329694.i −1.00619 + 0.802406i −0.980351 0.197260i \(-0.936796\pi\)
−0.0258345 + 0.999666i \(0.508224\pi\)
\(642\) −159.720 + 2131.32i −0.000387516 + 0.00517104i
\(643\) −62074.6 29893.6i −0.150138 0.0723029i 0.357306 0.933987i \(-0.383695\pi\)
−0.507444 + 0.861685i \(0.669410\pi\)
\(644\) 405596.i 0.977961i
\(645\) 24889.5 + 10022.9i 0.0598269 + 0.0240920i
\(646\) 743217. 1.78095
\(647\) 181061. 375977.i 0.432530 0.898157i −0.564807 0.825223i \(-0.691049\pi\)
0.997337 0.0729340i \(-0.0232362\pi\)
\(648\) 436797. + 32733.4i 1.04023 + 0.0779545i
\(649\) 173789. + 217925.i 0.412604 + 0.517389i
\(650\) 24913.0 80766.0i 0.0589657 0.191162i
\(651\) −3100.77 + 5370.69i −0.00731656 + 0.0126727i
\(652\) −732060. + 422655.i −1.72207 + 0.994240i
\(653\) −99022.4 + 22601.2i −0.232224 + 0.0530036i −0.337049 0.941487i \(-0.609429\pi\)
0.104825 + 0.994491i \(0.466572\pi\)
\(654\) 5797.50 + 873.832i 0.0135546 + 0.00204302i
\(655\) 223140. + 207044.i 0.520110 + 0.482592i
\(656\) −26098.4 + 32726.3i −0.0606465 + 0.0760483i
\(657\) −250625. 367600.i −0.580623 0.851617i
\(658\) 97171.0 90161.5i 0.224432 0.208243i
\(659\) 25005.4 + 333674.i 0.0575790 + 0.768338i 0.949023 + 0.315207i \(0.102074\pi\)
−0.891444 + 0.453131i \(0.850307\pi\)
\(660\) 6628.90 16890.2i 0.0152179 0.0387745i
\(661\) 17658.2 77365.7i 0.0404151 0.177070i −0.950692 0.310137i \(-0.899625\pi\)
0.991107 + 0.133066i \(0.0424823\pi\)
\(662\) −311444. + 96067.6i −0.710663 + 0.219210i
\(663\) −322.218 + 472.607i −0.000733032 + 0.00107516i
\(664\) −81533.9 540942.i −0.184928 1.22691i
\(665\) −508178. + 199445.i −1.14914 + 0.451003i
\(666\) −78581.2 + 37842.7i −0.177162 + 0.0853167i
\(667\) −304901. 633134.i −0.685342 1.42313i
\(668\) −526112. 1.34051e6i −1.17903 3.00412i
\(669\) −22441.3 + 3382.48i −0.0501413 + 0.00755758i
\(670\) 102350. + 69781.1i 0.228002 + 0.155449i
\(671\) −11621.5 37675.9i −0.0258117 0.0836795i
\(672\) −6597.24 1505.78i −0.0146091 0.00333443i
\(673\) 129748. + 50922.1i 0.286463 + 0.112429i 0.504222 0.863574i \(-0.331779\pi\)
−0.217759 + 0.976003i \(0.569875\pi\)
\(674\) 708213. 53073.2i 1.55899 0.116830i
\(675\) −52756.9 56858.4i −0.115790 0.124792i
\(676\) 619118. 422107.i 1.35481 0.923697i
\(677\) −415918. 331684.i −0.907467 0.723680i 0.0540178 0.998540i \(-0.482797\pi\)
−0.961484 + 0.274860i \(0.911369\pi\)
\(678\) 17199.9 18537.1i 0.0374169 0.0403258i
\(679\) 16170.5 107284.i 0.0350738 0.232699i
\(680\) −149771. 656190.i −0.323899 1.41910i
\(681\) 1859.12 + 3220.10i 0.00400880 + 0.00694344i
\(682\) 239200. + 138102.i 0.514271 + 0.296915i
\(683\) 332030. + 102418.i 0.711763 + 0.219550i 0.629432 0.777055i \(-0.283287\pi\)
0.0823307 + 0.996605i \(0.473764\pi\)
\(684\) 879348. 701256.i 1.87953 1.49887i
\(685\) 2108.89 28141.1i 0.00449440 0.0599737i
\(686\) −561124. 270223.i −1.19237 0.574215i
\(687\) 4502.41i 0.00953962i
\(688\) 26910.6 + 6392.63i 0.0568521 + 0.0135052i
\(689\) −21202.9 −0.0446638
\(690\) 28409.9 58993.8i 0.0596721 0.123910i
\(691\) −571560. 42832.5i −1.19703 0.0897052i −0.538743 0.842470i \(-0.681101\pi\)
−0.658289 + 0.752765i \(0.728720\pi\)
\(692\) 355095. + 445275.i 0.741536 + 0.929857i
\(693\) −25198.2 + 81690.5i −0.0524690 + 0.170100i
\(694\) −394779. + 683777.i −0.819662 + 1.41970i
\(695\) −1.24342e6 + 717890.i −2.57424 + 1.48624i
\(696\) 20665.3 4716.71i 0.0426601 0.00973690i
\(697\) 598185. + 90161.9i 1.23132 + 0.185591i
\(698\) 154162. + 143042.i 0.316422 + 0.293597i
\(699\) −6817.30 + 8548.63i −0.0139527 + 0.0174961i
\(700\) 505198. + 740989.i 1.03102 + 1.51222i
\(701\) −131349. + 121874.i −0.267296 + 0.248014i −0.802421 0.596759i \(-0.796455\pi\)
0.535125 + 0.844773i \(0.320265\pi\)
\(702\) 208.203 + 2778.27i 0.000422486 + 0.00563768i
\(703\) −32008.4 + 81556.2i −0.0647670 + 0.165024i
\(704\) −69596.2 + 304921.i −0.140424 + 0.615236i
\(705\) 12714.4 3921.87i 0.0255810 0.00789070i
\(706\) 293246. 430113.i 0.588332 0.862924i
\(707\) 41912.5 + 278071.i 0.0838503 + 0.556311i
\(708\) −44835.0 + 17596.5i −0.0894440 + 0.0351042i
\(709\) −620183. + 298664.i −1.23375 + 0.594143i −0.933109 0.359594i \(-0.882915\pi\)
−0.300642 + 0.953737i \(0.597201\pi\)
\(710\) 535647. + 1.11228e6i 1.06258 + 2.20647i
\(711\) 100558. + 256218.i 0.198920 + 0.506839i
\(712\) 711612. 107258.i 1.40373 0.211578i
\(713\) 512055. + 349113.i 1.00725 + 0.686732i
\(714\) −2877.20 9327.66i −0.00564383 0.0182968i
\(715\) −18243.5 4163.95i −0.0356858 0.00814505i
\(716\) −463704. 181990.i −0.904513 0.354995i
\(717\) 20199.1 1513.72i 0.0392911 0.00294446i
\(718\) −116094. 125120.i −0.225197 0.242704i
\(719\) 491212. 334903.i 0.950192 0.647830i 0.0142178 0.999899i \(-0.495474\pi\)
0.935974 + 0.352069i \(0.114522\pi\)
\(720\) −43964.8 35060.8i −0.0848087 0.0676326i
\(721\) 222731. 240047.i 0.428460 0.461770i
\(722\) 144495. 958659.i 0.277190 1.83903i
\(723\) 5169.41 + 22648.7i 0.00988928 + 0.0433278i
\(724\) 198941. + 344575.i 0.379530 + 0.657366i
\(725\) 1.34564e6 + 776907.i 2.56008 + 1.47806i
\(726\) 24032.2 + 7412.94i 0.0455952 + 0.0140643i
\(727\) 618256. 493043.i 1.16977 0.932858i 0.171140 0.985247i \(-0.445255\pi\)
0.998627 + 0.0523884i \(0.0166834\pi\)
\(728\) 942.895 12582.1i 0.00177910 0.0237404i
\(729\) −475356. 228919.i −0.894466 0.430752i
\(730\) 1.66192e6i 3.11864i
\(731\) −114448. 383003.i −0.214177 0.716749i
\(732\) 6812.92 0.0127148
\(733\) 135894. 282187.i 0.252925 0.525205i −0.735387 0.677647i \(-0.763000\pi\)
0.988312 + 0.152443i \(0.0487139\pi\)
\(734\) 537421. + 40274.2i 0.997523 + 0.0747540i
\(735\) −17253.3 21635.0i −0.0319373 0.0400481i
\(736\) −199326. + 646197.i −0.367966 + 1.19292i
\(737\) 9742.99 16875.4i 0.0179373 0.0310683i
\(738\) 1.27511e6 736188.i 2.34119 1.35169i
\(739\) −269571. + 61527.9i −0.493611 + 0.112663i −0.462078 0.886839i \(-0.652896\pi\)
−0.0315329 + 0.999503i \(0.510039\pi\)
\(740\) 200309. + 30191.7i 0.365794 + 0.0551345i
\(741\) 1025.16 + 951.208i 0.00186704 + 0.00173236i
\(742\) 225599. 282893.i 0.409761 0.513823i
\(743\) −452026. 663001.i −0.818816 1.20098i −0.976930 0.213561i \(-0.931494\pi\)
0.158114 0.987421i \(-0.449459\pi\)
\(744\) −13703.4 + 12714.9i −0.0247561 + 0.0229703i
\(745\) −130039. 1.73525e6i −0.234294 3.12643i
\(746\) 236660. 603001.i 0.425253 1.08353i
\(747\) −146982. + 643971.i −0.263404 + 1.15405i
\(748\) −258304. + 79676.2i −0.461666 + 0.142405i
\(749\) −13175.1 + 19324.3i −0.0234849 + 0.0344460i
\(750\) 12786.5 + 84832.9i 0.0227315 + 0.150814i
\(751\) 508257. 199476.i 0.901163 0.353681i 0.130892 0.991397i \(-0.458216\pi\)
0.770271 + 0.637716i \(0.220121\pi\)
\(752\) 12357.7 5951.14i 0.0218525 0.0105236i
\(753\) −3665.53 7611.56i −0.00646468 0.0134240i
\(754\) −20390.5 51954.3i −0.0358663 0.0913857i
\(755\) −511281. + 77063.2i −0.896944 + 0.135193i
\(756\) −24425.2