Properties

Label 43.6.e.a.4.12
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.12
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.12

$q$-expansion

\(f(q)\) \(=\) \(q+(1.97079 - 2.47129i) q^{2} +(-9.09722 - 11.4076i) q^{3} +(4.89739 + 21.4569i) q^{4} +(83.4030 + 40.1648i) q^{5} -46.1201 q^{6} -19.6284 q^{7} +(153.810 + 74.0710i) q^{8} +(6.69973 - 29.3534i) q^{9} +O(q^{10})\) \(q+(1.97079 - 2.47129i) q^{2} +(-9.09722 - 11.4076i) q^{3} +(4.89739 + 21.4569i) q^{4} +(83.4030 + 40.1648i) q^{5} -46.1201 q^{6} -19.6284 q^{7} +(153.810 + 74.0710i) q^{8} +(6.69973 - 29.3534i) q^{9} +(263.629 - 126.957i) q^{10} +(126.479 - 554.139i) q^{11} +(200.218 - 251.065i) q^{12} +(556.520 + 268.006i) q^{13} +(-38.6834 + 48.5074i) q^{14} +(-300.554 - 1316.81i) q^{15} +(-148.354 + 71.4435i) q^{16} +(-311.046 + 149.792i) q^{17} +(-59.3372 - 74.4065i) q^{18} +(681.631 + 2986.42i) q^{19} +(-453.354 + 1986.27i) q^{20} +(178.563 + 223.911i) q^{21} +(-1120.18 - 1404.66i) q^{22} +(1112.17 - 4872.72i) q^{23} +(-554.275 - 2428.44i) q^{24} +(3394.45 + 4256.51i) q^{25} +(1759.11 - 847.141i) q^{26} +(-3590.24 + 1728.97i) q^{27} +(-96.1278 - 421.163i) q^{28} +(-494.258 + 619.780i) q^{29} +(-3846.56 - 1852.41i) q^{30} +(1526.28 - 1913.90i) q^{31} +(-1331.43 + 5833.38i) q^{32} +(-7471.97 + 3598.31i) q^{33} +(-242.827 + 1063.89i) q^{34} +(-1637.06 - 788.369i) q^{35} +662.644 q^{36} -11541.9 q^{37} +(8723.68 + 4201.10i) q^{38} +(-2005.49 - 8786.64i) q^{39} +(9853.18 + 12355.5i) q^{40} +(-2268.39 + 2844.47i) q^{41} +905.262 q^{42} +(-9959.33 - 6915.22i) q^{43} +12509.5 q^{44} +(1737.75 - 2179.07i) q^{45} +(-9850.07 - 12351.6i) q^{46} +(-403.647 - 1768.49i) q^{47} +(2164.61 + 1042.42i) q^{48} -16421.7 q^{49} +17208.8 q^{50} +(4538.41 + 2185.58i) q^{51} +(-3025.08 + 13253.7i) q^{52} +(-3972.93 + 1913.26i) q^{53} +(-2802.83 + 12280.0i) q^{54} +(32805.6 - 41136.9i) q^{55} +(-3019.04 - 1453.89i) q^{56} +(27866.8 - 34943.9i) q^{57} +(557.579 + 2442.91i) q^{58} +(-9224.60 + 4442.33i) q^{59} +(26782.8 - 12897.9i) q^{60} +(13045.0 + 16357.9i) q^{61} +(-1721.82 - 7543.79i) q^{62} +(-131.505 + 576.159i) q^{63} +(8506.77 + 10667.2i) q^{64} +(35651.1 + 44705.0i) q^{65} +(-5833.21 + 25557.0i) q^{66} +(-7469.34 - 32725.3i) q^{67} +(-4737.38 - 5940.48i) q^{68} +(-65703.4 + 31641.1i) q^{69} +(-5174.60 + 2491.96i) q^{70} +(-1479.38 - 6481.60i) q^{71} +(3204.72 - 4018.60i) q^{72} +(29621.2 + 14264.8i) q^{73} +(-22746.6 + 28523.4i) q^{74} +(17676.3 - 77444.8i) q^{75} +(-60741.1 + 29251.4i) q^{76} +(-2482.57 + 10876.8i) q^{77} +(-25666.8 - 12360.5i) q^{78} -52745.8 q^{79} -15242.7 q^{80} +(45792.8 + 22052.6i) q^{81} +(2559.00 + 11211.7i) q^{82} +(-36581.0 - 45871.1i) q^{83} +(-3929.95 + 4928.00i) q^{84} -31958.5 q^{85} +(-36717.3 + 10984.0i) q^{86} +11566.6 q^{87} +(60499.3 - 75863.7i) q^{88} +(-27405.9 - 34366.0i) q^{89} +(-1960.38 - 8588.99i) q^{90} +(-10923.6 - 5260.52i) q^{91} +110000. q^{92} -35717.8 q^{93} +(-5165.96 - 2487.80i) q^{94} +(-63098.9 + 276454. i) q^{95} +(78656.9 - 37879.2i) q^{96} +(9296.13 - 40729.0i) q^{97} +(-32363.8 + 40582.9i) q^{98} +(-15418.5 - 7425.16i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.97079 2.47129i 0.348390 0.436867i −0.576503 0.817095i \(-0.695583\pi\)
0.924893 + 0.380228i \(0.124154\pi\)
\(3\) −9.09722 11.4076i −0.583587 0.731795i 0.399133 0.916893i \(-0.369311\pi\)
−0.982720 + 0.185098i \(0.940740\pi\)
\(4\) 4.89739 + 21.4569i 0.153044 + 0.670528i
\(5\) 83.4030 + 40.1648i 1.49196 + 0.718490i 0.989286 0.145987i \(-0.0466359\pi\)
0.502672 + 0.864477i \(0.332350\pi\)
\(6\) −46.1201 −0.523013
\(7\) −19.6284 −0.151404 −0.0757022 0.997130i \(-0.524120\pi\)
−0.0757022 + 0.997130i \(0.524120\pi\)
\(8\) 153.810 + 74.0710i 0.849688 + 0.409188i
\(9\) 6.69973 29.3534i 0.0275709 0.120796i
\(10\) 263.629 126.957i 0.833668 0.401473i
\(11\) 126.479 554.139i 0.315163 1.38082i −0.530763 0.847520i \(-0.678095\pi\)
0.845926 0.533300i \(-0.179048\pi\)
\(12\) 200.218 251.065i 0.401375 0.503308i
\(13\) 556.520 + 268.006i 0.913319 + 0.439831i 0.830681 0.556748i \(-0.187951\pi\)
0.0826379 + 0.996580i \(0.473665\pi\)
\(14\) −38.6834 + 48.5074i −0.0527478 + 0.0661436i
\(15\) −300.554 1316.81i −0.344901 1.51111i
\(16\) −148.354 + 71.4435i −0.144877 + 0.0697691i
\(17\) −311.046 + 149.792i −0.261037 + 0.125709i −0.559825 0.828611i \(-0.689132\pi\)
0.298788 + 0.954319i \(0.403418\pi\)
\(18\) −59.3372 74.4065i −0.0431664 0.0541289i
\(19\) 681.631 + 2986.42i 0.433177 + 1.89787i 0.440204 + 0.897898i \(0.354906\pi\)
−0.00702723 + 0.999975i \(0.502237\pi\)
\(20\) −453.354 + 1986.27i −0.253432 + 1.11036i
\(21\) 178.563 + 223.911i 0.0883577 + 0.110797i
\(22\) −1120.18 1404.66i −0.493435 0.618748i
\(23\) 1112.17 4872.72i 0.438379 1.92066i 0.0511229 0.998692i \(-0.483720\pi\)
0.387256 0.921972i \(-0.373423\pi\)
\(24\) −554.275 2428.44i −0.196425 0.860595i
\(25\) 3394.45 + 4256.51i 1.08622 + 1.36208i
\(26\) 1759.11 847.141i 0.510339 0.245766i
\(27\) −3590.24 + 1728.97i −0.947796 + 0.456434i
\(28\) −96.1278 421.163i −0.0231715 0.101521i
\(29\) −494.258 + 619.780i −0.109134 + 0.136849i −0.833398 0.552673i \(-0.813608\pi\)
0.724265 + 0.689522i \(0.242179\pi\)
\(30\) −3846.56 1852.41i −0.780314 0.375779i
\(31\) 1526.28 1913.90i 0.285254 0.357697i −0.618474 0.785806i \(-0.712249\pi\)
0.903727 + 0.428109i \(0.140820\pi\)
\(32\) −1331.43 + 5833.38i −0.229850 + 1.00704i
\(33\) −7471.97 + 3598.31i −1.19440 + 0.575194i
\(34\) −242.827 + 1063.89i −0.0360246 + 0.157834i
\(35\) −1637.06 788.369i −0.225889 0.108783i
\(36\) 662.644 0.0852166
\(37\) −11541.9 −1.38603 −0.693015 0.720924i \(-0.743718\pi\)
−0.693015 + 0.720924i \(0.743718\pi\)
\(38\) 8723.68 + 4201.10i 0.980033 + 0.471959i
\(39\) −2005.49 8786.64i −0.211135 0.925042i
\(40\) 9853.18 + 12355.5i 0.973703 + 1.22098i
\(41\) −2268.39 + 2844.47i −0.210746 + 0.264267i −0.875958 0.482388i \(-0.839770\pi\)
0.665212 + 0.746654i \(0.268341\pi\)
\(42\) 905.262 0.0791865
\(43\) −9959.33 6915.22i −0.821408 0.570341i
\(44\) 12509.5 0.974112
\(45\) 1737.75 2179.07i 0.127925 0.160413i
\(46\) −9850.07 12351.6i −0.686348 0.860654i
\(47\) −403.647 1768.49i −0.0266536 0.116777i 0.959851 0.280510i \(-0.0905036\pi\)
−0.986505 + 0.163733i \(0.947646\pi\)
\(48\) 2164.61 + 1042.42i 0.135605 + 0.0653039i
\(49\) −16421.7 −0.977077
\(50\) 17208.8 0.973478
\(51\) 4538.41 + 2185.58i 0.244331 + 0.117664i
\(52\) −3025.08 + 13253.7i −0.155141 + 0.679719i
\(53\) −3972.93 + 1913.26i −0.194277 + 0.0935587i −0.528493 0.848938i \(-0.677243\pi\)
0.334216 + 0.942496i \(0.391528\pi\)
\(54\) −2802.83 + 12280.0i −0.130801 + 0.573078i
\(55\) 32805.6 41136.9i 1.46231 1.83368i
\(56\) −3019.04 1453.89i −0.128647 0.0619530i
\(57\) 27866.8 34943.9i 1.13606 1.42457i
\(58\) 557.579 + 2442.91i 0.0217639 + 0.0953539i
\(59\) −9224.60 + 4442.33i −0.344999 + 0.166143i −0.598356 0.801230i \(-0.704179\pi\)
0.253358 + 0.967373i \(0.418465\pi\)
\(60\) 26782.8 12897.9i 0.960456 0.462531i
\(61\) 13045.0 + 16357.9i 0.448867 + 0.562862i 0.953856 0.300264i \(-0.0970748\pi\)
−0.504989 + 0.863126i \(0.668503\pi\)
\(62\) −1721.82 7543.79i −0.0568864 0.249236i
\(63\) −131.505 + 576.159i −0.00417436 + 0.0182891i
\(64\) 8506.77 + 10667.2i 0.259606 + 0.325536i
\(65\) 35651.1 + 44705.0i 1.04662 + 1.31242i
\(66\) −5833.21 + 25557.0i −0.164834 + 0.722187i
\(67\) −7469.34 32725.3i −0.203280 0.890629i −0.968923 0.247363i \(-0.920436\pi\)
0.765643 0.643266i \(-0.222421\pi\)
\(68\) −4737.38 5940.48i −0.124241 0.155794i
\(69\) −65703.4 + 31641.1i −1.66136 + 0.800071i
\(70\) −5174.60 + 2491.96i −0.126221 + 0.0607849i
\(71\) −1479.38 6481.60i −0.0348285 0.152594i 0.954524 0.298135i \(-0.0963647\pi\)
−0.989352 + 0.145542i \(0.953508\pi\)
\(72\) 3204.72 4018.60i 0.0728550 0.0913573i
\(73\) 29621.2 + 14264.8i 0.650573 + 0.313299i 0.729905 0.683549i \(-0.239564\pi\)
−0.0793319 + 0.996848i \(0.525279\pi\)
\(74\) −22746.6 + 28523.4i −0.482879 + 0.605511i
\(75\) 17676.3 77444.8i 0.362858 1.58979i
\(76\) −60741.1 + 29251.4i −1.20628 + 0.580915i
\(77\) −2482.57 + 10876.8i −0.0477171 + 0.209062i
\(78\) −25666.8 12360.5i −0.477678 0.230037i
\(79\) −52745.8 −0.950867 −0.475434 0.879752i \(-0.657709\pi\)
−0.475434 + 0.879752i \(0.657709\pi\)
\(80\) −15242.7 −0.266279
\(81\) 45792.8 + 22052.6i 0.775505 + 0.373464i
\(82\) 2559.00 + 11211.7i 0.0420278 + 0.184136i
\(83\) −36581.0 45871.1i −0.582855 0.730877i 0.399742 0.916628i \(-0.369100\pi\)
−0.982597 + 0.185751i \(0.940528\pi\)
\(84\) −3929.95 + 4928.00i −0.0607699 + 0.0762030i
\(85\) −31958.5 −0.479777
\(86\) −36717.3 + 10984.0i −0.535334 + 0.160145i
\(87\) 11566.6 0.163835
\(88\) 60499.3 75863.7i 0.832806 1.04431i
\(89\) −27405.9 34366.0i −0.366750 0.459889i 0.563877 0.825858i \(-0.309309\pi\)
−0.930627 + 0.365969i \(0.880738\pi\)
\(90\) −1960.38 8588.99i −0.0255114 0.111773i
\(91\) −10923.6 5260.52i −0.138281 0.0665924i
\(92\) 110000. 1.35495
\(93\) −35717.8 −0.428231
\(94\) −5165.96 2487.80i −0.0603020 0.0290399i
\(95\) −63098.9 + 276454.i −0.717319 + 3.14278i
\(96\) 78656.9 37879.2i 0.871082 0.419491i
\(97\) 9296.13 40729.0i 0.100317 0.439516i −0.899679 0.436552i \(-0.856199\pi\)
0.999996 0.00296364i \(-0.000943357\pi\)
\(98\) −32363.8 + 40582.9i −0.340404 + 0.426853i
\(99\) −15418.5 7425.16i −0.158108 0.0761409i
\(100\) −74707.4 + 93680.1i −0.747074 + 0.936801i
\(101\) −35982.8 157651.i −0.350987 1.53777i −0.774907 0.632075i \(-0.782204\pi\)
0.423921 0.905699i \(-0.360654\pi\)
\(102\) 14345.5 6908.42i 0.136526 0.0657473i
\(103\) −43784.1 + 21085.3i −0.406652 + 0.195833i −0.626017 0.779809i \(-0.715316\pi\)
0.219364 + 0.975643i \(0.429602\pi\)
\(104\) 65746.9 + 82444.0i 0.596063 + 0.747439i
\(105\) 5899.38 + 25846.9i 0.0522195 + 0.228789i
\(106\) −3101.58 + 13588.9i −0.0268113 + 0.117468i
\(107\) 116372. + 145925.i 0.982624 + 1.23217i 0.972663 + 0.232221i \(0.0745993\pi\)
0.00996112 + 0.999950i \(0.496829\pi\)
\(108\) −54681.2 68568.0i −0.451106 0.565669i
\(109\) −25043.4 + 109722.i −0.201896 + 0.884562i 0.767886 + 0.640587i \(0.221309\pi\)
−0.969781 + 0.243976i \(0.921548\pi\)
\(110\) −37008.4 162144.i −0.291621 1.27767i
\(111\) 104999. + 131665.i 0.808869 + 1.01429i
\(112\) 2911.94 1402.32i 0.0219350 0.0105634i
\(113\) 82153.4 39563.0i 0.605242 0.291469i −0.106055 0.994360i \(-0.533822\pi\)
0.711298 + 0.702891i \(0.248108\pi\)
\(114\) −31436.9 137734.i −0.226557 0.992612i
\(115\) 288470. 361729.i 2.03402 2.55058i
\(116\) −15719.1 7569.94i −0.108463 0.0522333i
\(117\) 11595.4 14540.2i 0.0783109 0.0981988i
\(118\) −7201.45 + 31551.6i −0.0476118 + 0.208601i
\(119\) 6105.32 2940.17i 0.0395222 0.0190329i
\(120\) 51309.4 224801.i 0.325270 1.42510i
\(121\) −145971. 70296.0i −0.906367 0.436483i
\(122\) 66134.0 0.402277
\(123\) 53084.5 0.316377
\(124\) 48541.1 + 23376.2i 0.283502 + 0.136527i
\(125\) 47774.4 + 209313.i 0.273477 + 1.19818i
\(126\) 1164.69 + 1460.48i 0.00653558 + 0.00819536i
\(127\) 77140.4 96731.0i 0.424397 0.532178i −0.522959 0.852358i \(-0.675172\pi\)
0.947357 + 0.320180i \(0.103743\pi\)
\(128\) −148342. −0.800275
\(129\) 11716.4 + 176521.i 0.0619899 + 0.933946i
\(130\) 180740. 0.937985
\(131\) −144698. + 181446.i −0.736690 + 0.923779i −0.999152 0.0411626i \(-0.986894\pi\)
0.262463 + 0.964942i \(0.415465\pi\)
\(132\) −113802. 142703.i −0.568479 0.712850i
\(133\) −13379.3 58618.5i −0.0655850 0.287346i
\(134\) −95594.4 46035.8i −0.459907 0.221480i
\(135\) −368881. −1.74202
\(136\) −58937.2 −0.273239
\(137\) 290157. + 139732.i 1.32078 + 0.636056i 0.955541 0.294857i \(-0.0952720\pi\)
0.365242 + 0.930913i \(0.380986\pi\)
\(138\) −51293.2 + 224730.i −0.229278 + 1.00453i
\(139\) 51128.1 24622.0i 0.224451 0.108090i −0.318279 0.947997i \(-0.603105\pi\)
0.542730 + 0.839907i \(0.317391\pi\)
\(140\) 8898.59 38987.2i 0.0383708 0.168113i
\(141\) −16502.1 + 20693.0i −0.0699023 + 0.0876547i
\(142\) −18933.5 9117.89i −0.0787970 0.0379466i
\(143\) 218900. 274493.i 0.895172 1.12251i
\(144\) 1103.18 + 4833.35i 0.00443344 + 0.0194242i
\(145\) −66116.0 + 31839.8i −0.261148 + 0.125762i
\(146\) 93629.8 45089.8i 0.363523 0.175064i
\(147\) 149392. + 187332.i 0.570209 + 0.715020i
\(148\) −56525.2 247653.i −0.212123 0.929371i
\(149\) −77958.3 + 341558.i −0.287671 + 1.26037i 0.600040 + 0.799970i \(0.295151\pi\)
−0.887711 + 0.460401i \(0.847706\pi\)
\(150\) −156553. 196311.i −0.568109 0.712387i
\(151\) −163319. 204796.i −0.582901 0.730935i 0.399704 0.916644i \(-0.369113\pi\)
−0.982605 + 0.185710i \(0.940542\pi\)
\(152\) −116366. + 509831.i −0.408522 + 1.78985i
\(153\) 2312.98 + 10133.8i 0.00798809 + 0.0349981i
\(154\) 21987.2 + 27571.1i 0.0747083 + 0.0936812i
\(155\) 204168. 98322.1i 0.682588 0.328717i
\(156\) 178712. 86063.3i 0.587954 0.283144i
\(157\) −60483.2 264994.i −0.195833 0.858001i −0.973384 0.229181i \(-0.926395\pi\)
0.777551 0.628820i \(-0.216462\pi\)
\(158\) −103951. + 130350.i −0.331273 + 0.415403i
\(159\) 57968.2 + 27916.0i 0.181843 + 0.0875710i
\(160\) −345342. + 433045.i −1.06647 + 1.33731i
\(161\) −21830.0 + 95643.4i −0.0663726 + 0.290797i
\(162\) 144747. 69706.3i 0.433332 0.208682i
\(163\) −8901.17 + 38998.6i −0.0262409 + 0.114969i −0.986352 0.164649i \(-0.947351\pi\)
0.960111 + 0.279618i \(0.0902079\pi\)
\(164\) −72142.8 34742.1i −0.209451 0.100866i
\(165\) −767711. −2.19527
\(166\) −185455. −0.522357
\(167\) 392151. + 188850.i 1.08808 + 0.523994i 0.889893 0.456170i \(-0.150779\pi\)
0.198191 + 0.980163i \(0.436493\pi\)
\(168\) 10879.5 + 47666.2i 0.0297396 + 0.130298i
\(169\) 6390.15 + 8013.00i 0.0172105 + 0.0215813i
\(170\) −62983.6 + 78978.9i −0.167149 + 0.209599i
\(171\) 92228.5 0.241199
\(172\) 99604.4 247563.i 0.256719 0.638064i
\(173\) 221697. 0.563177 0.281588 0.959535i \(-0.409139\pi\)
0.281588 + 0.959535i \(0.409139\pi\)
\(174\) 22795.3 28584.3i 0.0570783 0.0715740i
\(175\) −66627.5 83548.2i −0.164459 0.206225i
\(176\) 20826.0 + 91244.8i 0.0506786 + 0.222038i
\(177\) 134594. + 64817.2i 0.322919 + 0.155510i
\(178\) −138940. −0.328682
\(179\) −303880. −0.708876 −0.354438 0.935080i \(-0.615328\pi\)
−0.354438 + 0.935080i \(0.615328\pi\)
\(180\) 55266.6 + 26615.0i 0.127140 + 0.0612272i
\(181\) −27198.6 + 119165.i −0.0617092 + 0.270366i −0.996365 0.0851885i \(-0.972851\pi\)
0.934656 + 0.355554i \(0.115708\pi\)
\(182\) −34528.4 + 16628.0i −0.0772676 + 0.0372101i
\(183\) 67930.3 297622.i 0.149946 0.656958i
\(184\) 531989. 667093.i 1.15840 1.45259i
\(185\) −962628. 463577.i −2.06790 0.995847i
\(186\) −70392.4 + 88269.3i −0.149191 + 0.187080i
\(187\) 43664.8 + 191308.i 0.0913119 + 0.400064i
\(188\) 35969.5 17322.0i 0.0742232 0.0357440i
\(189\) 70470.6 33936.8i 0.143500 0.0691062i
\(190\) 558845. + 700769.i 1.12307 + 1.40829i
\(191\) −7348.60 32196.3i −0.0145754 0.0638591i 0.967117 0.254331i \(-0.0818553\pi\)
−0.981693 + 0.190472i \(0.938998\pi\)
\(192\) 44298.1 194083.i 0.0867226 0.379957i
\(193\) 274927. + 344748.i 0.531281 + 0.666205i 0.972962 0.230967i \(-0.0741890\pi\)
−0.441681 + 0.897172i \(0.645618\pi\)
\(194\) −82332.6 103242.i −0.157061 0.196948i
\(195\) 185649. 813383.i 0.349629 1.53182i
\(196\) −80423.7 352359.i −0.149535 0.655157i
\(197\) −43814.2 54941.3i −0.0804358 0.100863i 0.739985 0.672623i \(-0.234832\pi\)
−0.820421 + 0.571760i \(0.806261\pi\)
\(198\) −48736.4 + 23470.2i −0.0883468 + 0.0425456i
\(199\) 807968. 389097.i 1.44631 0.696507i 0.464361 0.885646i \(-0.346284\pi\)
0.981950 + 0.189140i \(0.0605699\pi\)
\(200\) 206817. + 906124.i 0.365604 + 1.60182i
\(201\) −305366. + 382916.i −0.533126 + 0.668519i
\(202\) −460516. 221773.i −0.794083 0.382410i
\(203\) 9701.48 12165.3i 0.0165233 0.0207196i
\(204\) −24669.4 + 108084.i −0.0415034 + 0.181838i
\(205\) −303438. + 146128.i −0.504297 + 0.242856i
\(206\) −34181.3 + 149758.i −0.0561204 + 0.245880i
\(207\) −135580. 65291.8i −0.219922 0.105909i
\(208\) −101709. −0.163006
\(209\) 1.74110e6 2.75714
\(210\) 75501.6 + 36359.7i 0.118143 + 0.0568947i
\(211\) 148293. + 649714.i 0.229305 + 1.00465i 0.950208 + 0.311616i \(0.100870\pi\)
−0.720903 + 0.693036i \(0.756272\pi\)
\(212\) −60509.6 75876.6i −0.0924665 0.115949i
\(213\) −60480.9 + 75840.7i −0.0913418 + 0.114539i
\(214\) 589968. 0.880632
\(215\) −552890. 976765.i −0.815722 1.44110i
\(216\) −680282. −0.992098
\(217\) −29958.4 + 37566.7i −0.0431887 + 0.0541569i
\(218\) 221801. + 278129.i 0.316098 + 0.396374i
\(219\) −106744. 467676.i −0.150395 0.658923i
\(220\) 1.04333e6 + 502442.i 1.45333 + 0.699889i
\(221\) −213248. −0.293701
\(222\) 532313. 0.724911
\(223\) −266622. 128398.i −0.359032 0.172901i 0.245668 0.969354i \(-0.420993\pi\)
−0.604700 + 0.796453i \(0.706707\pi\)
\(224\) 26133.8 114500.i 0.0348003 0.152470i
\(225\) 147685. 71121.3i 0.194482 0.0936577i
\(226\) 64135.4 280995.i 0.0835269 0.365955i
\(227\) 127053. 159319.i 0.163652 0.205213i −0.693244 0.720703i \(-0.743819\pi\)
0.856895 + 0.515491i \(0.172390\pi\)
\(228\) 886262. + 426801.i 1.12908 + 0.543736i
\(229\) −702929. + 881445.i −0.885773 + 1.11072i 0.107416 + 0.994214i \(0.465742\pi\)
−0.993189 + 0.116510i \(0.962829\pi\)
\(230\) −325426. 1.42579e6i −0.405633 1.77719i
\(231\) 146663. 70629.0i 0.180838 0.0870869i
\(232\) −121930. + 58718.2i −0.148727 + 0.0716231i
\(233\) −626233. 785272.i −0.755695 0.947611i 0.244060 0.969760i \(-0.421521\pi\)
−0.999755 + 0.0221488i \(0.992949\pi\)
\(234\) −13081.0 57311.4i −0.0156171 0.0684229i
\(235\) 37365.7 163710.i 0.0441371 0.193377i
\(236\) −140495. 176175.i −0.164203 0.205904i
\(237\) 479840. + 601700.i 0.554914 + 0.695840i
\(238\) 4766.29 20882.5i 0.00545429 0.0238968i
\(239\) −154702. 677792.i −0.175186 0.767541i −0.983810 0.179215i \(-0.942644\pi\)
0.808624 0.588326i \(-0.200213\pi\)
\(240\) 138666. + 173882.i 0.155397 + 0.194861i
\(241\) −232619. + 112023.i −0.257990 + 0.124241i −0.558409 0.829566i \(-0.688588\pi\)
0.300419 + 0.953807i \(0.402874\pi\)
\(242\) −461401. + 222199.i −0.506454 + 0.243895i
\(243\) 50451.9 + 221044.i 0.0548102 + 0.240139i
\(244\) −287102. + 360015.i −0.308718 + 0.387120i
\(245\) −1.36962e6 659575.i −1.45776 0.702019i
\(246\) 104619. 131188.i 0.110223 0.138215i
\(247\) −421037. + 1.84469e6i −0.439115 + 1.92389i
\(248\) 376522. 181324.i 0.388742 0.187208i
\(249\) −190492. + 834600.i −0.194706 + 0.853061i
\(250\) 611428. + 294448.i 0.618722 + 0.297961i
\(251\) 234073. 0.234513 0.117257 0.993102i \(-0.462590\pi\)
0.117257 + 0.993102i \(0.462590\pi\)
\(252\) −13006.6 −0.0129022
\(253\) −2.55950e6 1.23259e6i −2.51393 1.21065i
\(254\) −87023.2 381273.i −0.0846351 0.370811i
\(255\) 290734. + 364568.i 0.279991 + 0.351098i
\(256\) −564568. + 707945.i −0.538414 + 0.675149i
\(257\) 137217. 0.129592 0.0647958 0.997899i \(-0.479360\pi\)
0.0647958 + 0.997899i \(0.479360\pi\)
\(258\) 459325. + 318931.i 0.429607 + 0.298296i
\(259\) 226548. 0.209851
\(260\) −784633. + 983899.i −0.719836 + 0.902646i
\(261\) 14881.3 + 18660.5i 0.0135219 + 0.0169560i
\(262\) 163236. + 715183.i 0.146914 + 0.643671i
\(263\) 371761. + 179031.i 0.331417 + 0.159602i 0.592190 0.805798i \(-0.298263\pi\)
−0.260774 + 0.965400i \(0.583978\pi\)
\(264\) −1.41580e6 −1.25023
\(265\) −408200. −0.357074
\(266\) −171231. 82460.7i −0.148381 0.0714567i
\(267\) −142714. + 625269.i −0.122514 + 0.536771i
\(268\) 665603. 320538.i 0.566081 0.272610i
\(269\) −427706. + 1.87390e6i −0.360383 + 1.57894i 0.391840 + 0.920033i \(0.371839\pi\)
−0.752223 + 0.658909i \(0.771018\pi\)
\(270\) −726987. + 911613.i −0.606900 + 0.761029i
\(271\) −608089. 292840.i −0.502972 0.242219i 0.165152 0.986268i \(-0.447188\pi\)
−0.668125 + 0.744049i \(0.732903\pi\)
\(272\) 35443.2 44444.4i 0.0290477 0.0364246i
\(273\) 39364.5 + 172467.i 0.0319668 + 0.140056i
\(274\) 917158. 441680.i 0.738019 0.355411i
\(275\) 2.78802e6 1.34264e6i 2.22313 1.07060i
\(276\) −1.00069e6 1.25483e6i −0.790731 0.991545i
\(277\) −172051. 753803.i −0.134728 0.590280i −0.996544 0.0830606i \(-0.973530\pi\)
0.861817 0.507219i \(-0.169327\pi\)
\(278\) 39914.6 174877.i 0.0309756 0.135713i
\(279\) −45953.8 57624.3i −0.0353436 0.0443195i
\(280\) −193402. 242518.i −0.147423 0.184863i
\(281\) 383600. 1.68066e6i 0.289810 1.26974i −0.594976 0.803743i \(-0.702839\pi\)
0.884786 0.465997i \(-0.154304\pi\)
\(282\) 18616.2 + 81563.0i 0.0139402 + 0.0610760i
\(283\) −1.12303e6 1.40823e6i −0.833537 1.04522i −0.998265 0.0588837i \(-0.981246\pi\)
0.164727 0.986339i \(-0.447326\pi\)
\(284\) 131830. 63485.9i 0.0969880 0.0467069i
\(285\) 3.72769e6 1.79516e6i 2.71849 1.30916i
\(286\) −246945. 1.08193e6i −0.178519 0.782143i
\(287\) 44524.8 55832.3i 0.0319078 0.0400111i
\(288\) 162309. + 78164.1i 0.115309 + 0.0555298i
\(289\) −810954. + 1.01690e6i −0.571152 + 0.716202i
\(290\) −51615.3 + 226142.i −0.0360399 + 0.157901i
\(291\) −549187. + 264475.i −0.380179 + 0.183084i
\(292\) −161012. + 705440.i −0.110510 + 0.484176i
\(293\) 2.24383e6 + 1.08057e6i 1.52693 + 0.735333i 0.993850 0.110730i \(-0.0353190\pi\)
0.533083 + 0.846063i \(0.321033\pi\)
\(294\) 757372. 0.511024
\(295\) −947785. −0.634095
\(296\) −1.77526e6 854919.i −1.17769 0.567147i
\(297\) 504001. + 2.20817e6i 0.331543 + 1.45259i
\(298\) 690450. + 865797.i 0.450393 + 0.564775i
\(299\) 1.92486e6 2.41370e6i 1.24515 1.56137i
\(300\) 1.74829e6 1.12153
\(301\) 195485. + 135734.i 0.124365 + 0.0863522i
\(302\) −827978. −0.522398
\(303\) −1.47107e6 + 1.84466e6i −0.920504 + 1.15428i
\(304\) −314483. 394350.i −0.195170 0.244736i
\(305\) 430979. + 1.88824e6i 0.265281 + 1.16227i
\(306\) 29602.1 + 14255.6i 0.0180725 + 0.00870326i
\(307\) 1.45326e6 0.880027 0.440013 0.897991i \(-0.354974\pi\)
0.440013 + 0.897991i \(0.354974\pi\)
\(308\) −245541. −0.147485
\(309\) 638845. + 307652.i 0.380627 + 0.183300i
\(310\) 159390. 698332.i 0.0942011 0.412722i
\(311\) −2.76588e6 + 1.33198e6i −1.62155 + 0.780900i −0.999997 0.00246857i \(-0.999214\pi\)
−0.621558 + 0.783368i \(0.713500\pi\)
\(312\) 342370. 1.50002e6i 0.199118 0.872391i
\(313\) 826749. 1.03671e6i 0.476994 0.598131i −0.483874 0.875137i \(-0.660771\pi\)
0.960868 + 0.277006i \(0.0893423\pi\)
\(314\) −774079. 372777.i −0.443059 0.213366i
\(315\) −34109.2 + 42771.6i −0.0193685 + 0.0242873i
\(316\) −258317. 1.13176e6i −0.145524 0.637583i
\(317\) 370713. 178526.i 0.207200 0.0997823i −0.327406 0.944884i \(-0.606174\pi\)
0.534606 + 0.845102i \(0.320460\pi\)
\(318\) 183232. 88239.8i 0.101609 0.0489324i
\(319\) 280931. + 352277.i 0.154569 + 0.193824i
\(320\) 281047. + 1.23135e6i 0.153428 + 0.672210i
\(321\) 605993. 2.65503e6i 0.328250 1.43816i
\(322\) 193341. + 242441.i 0.103916 + 0.130307i
\(323\) −659360. 826811.i −0.351655 0.440961i
\(324\) −248916. + 1.09057e6i −0.131732 + 0.577154i
\(325\) 748311. + 3.27857e6i 0.392983 + 1.72177i
\(326\) 78834.6 + 98855.5i 0.0410840 + 0.0515177i
\(327\) 1.47949e6 712484.i 0.765142 0.368473i
\(328\) −559594. + 269486.i −0.287203 + 0.138310i
\(329\) 7922.92 + 34712.6i 0.00403548 + 0.0176806i
\(330\) −1.51300e6 + 1.89724e6i −0.764810 + 0.959041i
\(331\) 2.37405e6 + 1.14328e6i 1.19102 + 0.573567i 0.921104 0.389316i \(-0.127289\pi\)
0.269920 + 0.962883i \(0.413003\pi\)
\(332\) 805100. 1.00956e6i 0.400871 0.502676i
\(333\) −77327.5 + 338794.i −0.0382141 + 0.167427i
\(334\) 1.23955e6 596937.i 0.607993 0.292794i
\(335\) 691440. 3.02939e6i 0.336622 1.47484i
\(336\) −42487.6 20461.0i −0.0205312 0.00988730i
\(337\) 475817. 0.228226 0.114113 0.993468i \(-0.463597\pi\)
0.114113 + 0.993468i \(0.463597\pi\)
\(338\) 32396.1 0.0154242
\(339\) −1.19868e6 577256.i −0.566507 0.272815i
\(340\) −156513. 685730.i −0.0734268 0.321704i
\(341\) −867524. 1.08784e6i −0.404013 0.506616i
\(342\) 181763. 227924.i 0.0840311 0.105372i
\(343\) 652225. 0.299338
\(344\) −1.01963e6 1.80133e6i −0.464564 0.820723i
\(345\) −6.75072e6 −3.05353
\(346\) 436919. 547879.i 0.196205 0.246034i
\(347\) −1.26691e6 1.58866e6i −0.564837 0.708284i 0.414606 0.910001i \(-0.363919\pi\)
−0.979444 + 0.201717i \(0.935348\pi\)
\(348\) 56646.0 + 248182.i 0.0250738 + 0.109856i
\(349\) 1.56721e6 + 754729.i 0.688754 + 0.331686i 0.745315 0.666713i \(-0.232299\pi\)
−0.0565611 + 0.998399i \(0.518014\pi\)
\(350\) −337781. −0.147389
\(351\) −2.46142e6 −1.06639
\(352\) 3.06411e6 + 1.47560e6i 1.31810 + 0.634762i
\(353\) 326400. 1.43005e6i 0.139416 0.610823i −0.856147 0.516732i \(-0.827148\pi\)
0.995564 0.0940908i \(-0.0299944\pi\)
\(354\) 425440. 204881.i 0.180439 0.0868947i
\(355\) 136947. 600004.i 0.0576742 0.252687i
\(356\) 603169. 756350.i 0.252240 0.316299i
\(357\) −89081.5 42899.4i −0.0369928 0.0178148i
\(358\) −598885. + 750978.i −0.246965 + 0.309684i
\(359\) 314809. + 1.37927e6i 0.128917 + 0.564823i 0.997587 + 0.0694311i \(0.0221184\pi\)
−0.868670 + 0.495392i \(0.835024\pi\)
\(360\) 428690. 206446.i 0.174336 0.0839557i
\(361\) −6.22321e6 + 2.99694e6i −2.51331 + 1.21035i
\(362\) 240889. + 302065.i 0.0966150 + 0.121151i
\(363\) 526027. + 2.30467e6i 0.209528 + 0.918000i
\(364\) 59377.3 260149.i 0.0234891 0.102913i
\(365\) 1.89756e6 + 2.37946e6i 0.745526 + 0.934860i
\(366\) −601635. 754427.i −0.234763 0.294384i
\(367\) 2658.95 11649.6i 0.00103049 0.00451489i −0.974410 0.224778i \(-0.927834\pi\)
0.975441 + 0.220263i \(0.0706915\pi\)
\(368\) 183130. + 802344.i 0.0704919 + 0.308845i
\(369\) 68297.4 + 85642.3i 0.0261119 + 0.0327433i
\(370\) −3.04277e6 + 1.46532e6i −1.15549 + 0.556454i
\(371\) 77982.0 37554.1i 0.0294144 0.0141652i
\(372\) −174924. 766394.i −0.0655380 0.287141i
\(373\) 980191. 1.22912e6i 0.364786 0.457427i −0.565237 0.824929i \(-0.691215\pi\)
0.930023 + 0.367501i \(0.119787\pi\)
\(374\) 558833. + 269120.i 0.206587 + 0.0994870i
\(375\) 1.95314e6 2.44916e6i 0.717224 0.899371i
\(376\) 68909.0 301910.i 0.0251366 0.110131i
\(377\) −441170. + 212456.i −0.159865 + 0.0769867i
\(378\) 55014.9 241036.i 0.0198039 0.0867665i
\(379\) 4.60196e6 + 2.21619e6i 1.64568 + 0.792516i 0.999572 + 0.0292677i \(0.00931753\pi\)
0.646105 + 0.763248i \(0.276397\pi\)
\(380\) −6.24087e6 −2.21710
\(381\) −1.80523e6 −0.637118
\(382\) −94049.2 45291.7i −0.0329759 0.0158804i
\(383\) 883411. + 3.87048e6i 0.307727 + 1.34824i 0.858169 + 0.513368i \(0.171602\pi\)
−0.550441 + 0.834874i \(0.685541\pi\)
\(384\) 1.34950e6 + 1.69222e6i 0.467030 + 0.585637i
\(385\) −643919. + 807449.i −0.221401 + 0.277628i
\(386\) 1.39380e6 0.476136
\(387\) −269710. + 246010.i −0.0915419 + 0.0834980i
\(388\) 919444. 0.310060
\(389\) −1.64961e6 + 2.06855e6i −0.552723 + 0.693093i −0.977194 0.212348i \(-0.931889\pi\)
0.424471 + 0.905442i \(0.360460\pi\)
\(390\) −1.64423e6 2.06180e6i −0.547396 0.686413i
\(391\) 383958. + 1.68223e6i 0.127011 + 0.556473i
\(392\) −2.52583e6 1.21637e6i −0.830211 0.399808i
\(393\) 3.38620e6 1.10594
\(394\) −222125. −0.0720869
\(395\) −4.39916e6 2.11852e6i −1.41865 0.683188i
\(396\) 83810.3 367197.i 0.0268571 0.117669i
\(397\) 2.07248e6 998052.i 0.659953 0.317817i −0.0737598 0.997276i \(-0.523500\pi\)
0.733713 + 0.679459i \(0.237786\pi\)
\(398\) 630764. 2.76356e6i 0.199599 0.874502i
\(399\) −546980. + 685891.i −0.172004 + 0.215686i
\(400\) −807680. 388958.i −0.252400 0.121549i
\(401\) 1.54726e6 1.94021e6i 0.480511 0.602542i −0.481198 0.876612i \(-0.659798\pi\)
0.961710 + 0.274069i \(0.0883698\pi\)
\(402\) 344487. + 1.50930e6i 0.106318 + 0.465810i
\(403\) 1.36234e6 656070.i 0.417854 0.201228i
\(404\) 3.20647e6 1.54416e6i 0.977404 0.470693i
\(405\) 2.93352e6 + 3.67852e6i 0.888692 + 1.11438i
\(406\) −10944.4 47950.4i −0.00329515 0.0144370i
\(407\) −1.45980e6 + 6.39581e6i −0.436825 + 1.91386i
\(408\) 536165. + 672329.i 0.159458 + 0.199955i
\(409\) 479968. + 601861.i 0.141874 + 0.177905i 0.847692 0.530489i \(-0.177992\pi\)
−0.705817 + 0.708394i \(0.749420\pi\)
\(410\) −236888. + 1.03787e6i −0.0695958 + 0.304919i
\(411\) −1.04562e6 4.58116e6i −0.305330 1.33774i
\(412\) −666853. 836207.i −0.193547 0.242701i
\(413\) 181064. 87195.7i 0.0522343 0.0251547i
\(414\) −428554. + 206381.i −0.122887 + 0.0591791i
\(415\) −1.20856e6 5.29506e6i −0.344468 1.50921i
\(416\) −2.30435e6 + 2.88956e6i −0.652852 + 0.818651i
\(417\) −746000. 359254.i −0.210087 0.101172i
\(418\) 3.43135e6 4.30278e6i 0.960560 1.20450i
\(419\) −438559. + 1.92145e6i −0.122037 + 0.534681i 0.876538 + 0.481332i \(0.159847\pi\)
−0.998576 + 0.0533492i \(0.983010\pi\)
\(420\) −525702. + 253165.i −0.145417 + 0.0700293i
\(421\) 1.58917e6 6.96260e6i 0.436983 1.91455i 0.0337982 0.999429i \(-0.489240\pi\)
0.403185 0.915119i \(-0.367903\pi\)
\(422\) 1.89789e6 + 913975.i 0.518788 + 0.249835i
\(423\) −54615.6 −0.0148411
\(424\) −752793. −0.203358
\(425\) −1.69342e6 815508.i −0.454770 0.219006i
\(426\) 68229.3 + 298932.i 0.0182158 + 0.0798084i
\(427\) −256051. 321078.i −0.0679605 0.0852198i
\(428\) −2.56119e6 + 3.21163e6i −0.675821 + 0.847453i
\(429\) −5.12267e6 −1.34386
\(430\) −3.50350e6 558646.i −0.913758 0.145702i
\(431\) −239512. −0.0621061 −0.0310530 0.999518i \(-0.509886\pi\)
−0.0310530 + 0.999518i \(0.509886\pi\)
\(432\) 409103. 513000.i 0.105469 0.132254i
\(433\) −1.65239e6 2.07204e6i −0.423539 0.531101i 0.523583 0.851975i \(-0.324595\pi\)
−0.947122 + 0.320873i \(0.896024\pi\)
\(434\) 33796.5 + 148072.i 0.00861286 + 0.0377354i
\(435\) 964686. + 464568.i 0.244435 + 0.117713i
\(436\) −2.47694e6 −0.624022
\(437\) 1.53101e7 3.83507
\(438\) −1.36614e6 657896.i −0.340258 0.163860i
\(439\) −38103.0 + 166940.i −0.00943621 + 0.0413427i −0.979427 0.201800i \(-0.935321\pi\)
0.969991 + 0.243142i \(0.0781782\pi\)
\(440\) 8.09288e6 3.89732e6i 1.99283 0.959698i
\(441\) −110021. + 482034.i −0.0269389 + 0.118027i
\(442\) −420268. + 526999.i −0.102322 + 0.128308i
\(443\) 2.60006e6 + 1.25212e6i 0.629470 + 0.303137i 0.721284 0.692640i \(-0.243552\pi\)
−0.0918143 + 0.995776i \(0.529267\pi\)
\(444\) −2.31089e6 + 2.89777e6i −0.556317 + 0.697599i
\(445\) −905437. 3.96698e6i −0.216750 0.949642i
\(446\) −842765. + 405854.i −0.200618 + 0.0966124i
\(447\) 4.60554e6 2.21791e6i 1.09021 0.525020i
\(448\) −166974. 209379.i −0.0393055 0.0492876i
\(449\) −828169. 3.62845e6i −0.193867 0.849386i −0.974498 0.224394i \(-0.927960\pi\)
0.780632 0.624991i \(-0.214898\pi\)
\(450\) 115294. 505138.i 0.0268397 0.117592i
\(451\) 1.28933e6 + 1.61677e6i 0.298485 + 0.374289i
\(452\) 1.25124e6 + 1.56900e6i 0.288067 + 0.361224i
\(453\) −850468. + 3.72614e6i −0.194721 + 0.853128i
\(454\) −143330. 627970.i −0.0326361 0.142988i
\(455\) −699772. 877486.i −0.158463 0.198706i
\(456\) 6.87452e6 3.31060e6i 1.54821 0.745580i
\(457\) 3.44895e6 1.66093e6i 0.772497 0.372015i −0.00574184 0.999984i \(-0.501828\pi\)
0.778239 + 0.627969i \(0.216113\pi\)
\(458\) 792983. + 3.47429e6i 0.176645 + 0.773930i
\(459\) 857745. 1.07558e6i 0.190032 0.238292i
\(460\) 9.17434e6 + 4.41813e6i 2.02153 + 0.973517i
\(461\) 2.74794e6 3.44581e6i 0.602219 0.755159i −0.383503 0.923540i \(-0.625282\pi\)
0.985722 + 0.168381i \(0.0538538\pi\)
\(462\) 114496. 501641.i 0.0249567 0.109342i
\(463\) −5.94927e6 + 2.86502e6i −1.28977 + 0.621119i −0.947882 0.318622i \(-0.896780\pi\)
−0.341886 + 0.939741i \(0.611066\pi\)
\(464\) 29045.9 127258.i 0.00626311 0.0274405i
\(465\) −2.97898e6 1.43460e6i −0.638903 0.307679i
\(466\) −3.17481e6 −0.677257
\(467\) −5.72300e6 −1.21432 −0.607158 0.794581i \(-0.707690\pi\)
−0.607158 + 0.794581i \(0.707690\pi\)
\(468\) 368775. + 177593.i 0.0778300 + 0.0374809i
\(469\) 146611. + 642344.i 0.0307775 + 0.134845i
\(470\) −330935. 414980.i −0.0691032 0.0866527i
\(471\) −2.47271e6 + 3.10068e6i −0.513595 + 0.644028i
\(472\) −1.74788e6 −0.361125
\(473\) −5.09163e6 + 4.64422e6i −1.04642 + 0.954465i
\(474\) 2.43264e6 0.497316
\(475\) −1.03980e7 + 1.30386e7i −2.11453 + 2.65154i
\(476\) 92986.9 + 116602.i 0.0188107 + 0.0235878i
\(477\) 29543.2 + 129437.i 0.00594514 + 0.0260473i
\(478\) −1.97991e6 953473.i −0.396347 0.190871i
\(479\) −3.20257e6 −0.637764 −0.318882 0.947794i \(-0.603307\pi\)
−0.318882 + 0.947794i \(0.603307\pi\)
\(480\) 8.08163e6 1.60102
\(481\) −6.42329e6 3.09329e6i −1.26589 0.609619i
\(482\) −181601. + 795644.i −0.0356041 + 0.155992i
\(483\) 1.28965e6 621062.i 0.251538 0.121134i
\(484\) 793456. 3.47636e6i 0.153960 0.674545i
\(485\) 2.41120e6 3.02354e6i 0.465456 0.583663i
\(486\) 645695. + 310950.i 0.124004 + 0.0597173i
\(487\) 4.92101e6 6.17075e6i 0.940224 1.17900i −0.0434516 0.999056i \(-0.513835\pi\)
0.983676 0.179949i \(-0.0575931\pi\)
\(488\) 794802. + 3.48226e6i 0.151081 + 0.661929i
\(489\) 525854. 253238.i 0.0994474 0.0478913i
\(490\) −4.32924e6 + 2.08485e6i −0.814557 + 0.392270i
\(491\) 2.85319e6 + 3.57778e6i 0.534105 + 0.669746i 0.973537 0.228530i \(-0.0733918\pi\)
−0.439432 + 0.898276i \(0.644820\pi\)
\(492\) 259976. + 1.13903e6i 0.0484195 + 0.212140i
\(493\) 60899.0 266816.i 0.0112848 0.0494418i
\(494\) 3.72898e6 + 4.67600e6i 0.687500 + 0.862098i
\(495\) −987720. 1.23856e6i −0.181184 0.227198i
\(496\) −89694.6 + 392978.i −0.0163705 + 0.0717239i
\(497\) 29037.8 + 127223.i 0.00527319 + 0.0231034i
\(498\) 1.68712e6 + 2.11558e6i 0.304841 + 0.382258i
\(499\) −2.58569e6 + 1.24520e6i −0.464863 + 0.223866i −0.651629 0.758538i \(-0.725914\pi\)
0.186765 + 0.982405i \(0.440200\pi\)
\(500\) −4.25724e6 + 2.05018e6i −0.761559 + 0.366747i
\(501\) −1.41317e6 6.19150e6i −0.251536 1.10205i
\(502\) 461309. 578463.i 0.0817020 0.102451i
\(503\) −1.09200e6 525880.i −0.192444 0.0926759i 0.335180 0.942154i \(-0.391203\pi\)
−0.527624 + 0.849478i \(0.676917\pi\)
\(504\) −62903.4 + 78878.4i −0.0110306 + 0.0138319i
\(505\) 3.33094e6 1.45938e7i 0.581217 2.54648i
\(506\) −8.09032e6 + 3.89609e6i −1.40472 + 0.676477i
\(507\) 33276.1 145792.i 0.00574926 0.0251892i
\(508\) 2.45333e6 + 1.18146e6i 0.421791 + 0.203124i
\(509\) 8.39759e6 1.43668 0.718340 0.695692i \(-0.244902\pi\)
0.718340 + 0.695692i \(0.244902\pi\)
\(510\) 1.47393e6 0.250929
\(511\) −581416. 279995.i −0.0984996 0.0474349i
\(512\) −419398. 1.83750e6i −0.0707052 0.309780i
\(513\) −7.61066e6 9.54346e6i −1.27682 1.60108i
\(514\) 270427. 339105.i 0.0451484 0.0566143i
\(515\) −4.49861e6 −0.747413
\(516\) −3.73021e6 + 1.11589e6i −0.616749 + 0.184500i
\(517\) −1.03104e6 −0.169649
\(518\) 446479. 559867.i 0.0731100 0.0916770i
\(519\) −2.01683e6 2.52902e6i −0.328663 0.412130i
\(520\) 2.17215e6 + 9.51679e6i 0.352274 + 1.54341i
\(521\) 5.04771e6 + 2.43085e6i 0.814704 + 0.392341i 0.794356 0.607452i \(-0.207808\pi\)
0.0203476 + 0.999793i \(0.493523\pi\)
\(522\) 75443.6 0.0121184
\(523\) −14715.9 −0.00235252 −0.00117626 0.999999i \(-0.500374\pi\)
−0.00117626 + 0.999999i \(0.500374\pi\)
\(524\) −4.60190e6 2.21616e6i −0.732165 0.352592i
\(525\) −346956. + 1.52011e6i −0.0549384 + 0.240701i
\(526\) 1.17510e6 565899.i 0.185187 0.0891814i
\(527\) −188058. + 823935.i −0.0294961 + 0.129231i
\(528\) 851421. 1.06765e6i 0.132911 0.166665i
\(529\) −1.67075e7 8.04591e6i −2.59581 1.25007i
\(530\) −804476. + 1.00878e6i −0.124401 + 0.155994i
\(531\) 68595.4 + 300536.i 0.0105574 + 0.0462552i
\(532\) 1.19225e6 574156.i 0.182636 0.0879531i
\(533\) −2.02474e6 + 975064.i −0.308711 + 0.148667i
\(534\) 1.26397e6 + 1.58496e6i 0.191815 + 0.240528i
\(535\) 3.84468e6 + 1.68447e7i 0.580732 + 2.54435i
\(536\) 1.27514e6 5.58674e6i 0.191710 0.839937i
\(537\) 2.76447e6 + 3.46653e6i 0.413691 + 0.518752i
\(538\) 3.78804e6 + 4.75006e6i 0.564234 + 0.707527i
\(539\) −2.07700e6 + 9.09992e6i −0.307939 + 1.34917i
\(540\) −1.80656e6 7.91504e6i −0.266604 1.16807i
\(541\) 4.65992e6 + 5.84335e6i 0.684518 + 0.858359i 0.995762 0.0919714i \(-0.0293168\pi\)
−0.311243 + 0.950330i \(0.600745\pi\)
\(542\) −1.92211e6 + 925640.i −0.281048 + 0.135345i
\(543\) 1.60681e6 773799.i 0.233865 0.112623i
\(544\) −459656. 2.01389e6i −0.0665941 0.291768i
\(545\) −6.49566e6 + 8.14531e6i −0.936769 + 1.17467i
\(546\) 503797. + 242616.i 0.0723226 + 0.0348287i
\(547\) 1.15803e6 1.45213e6i 0.165483 0.207509i −0.692175 0.721730i \(-0.743347\pi\)
0.857658 + 0.514221i \(0.171919\pi\)
\(548\) −1.57721e6 + 6.91019e6i −0.224356 + 0.982966i
\(549\) 567557. 273321.i 0.0803672 0.0387028i
\(550\) 2.17655e6 9.53608e6i 0.306804 1.34420i
\(551\) −2.18783e6 1.05360e6i −0.306997 0.147842i
\(552\) −1.24495e7 −1.73902
\(553\) 1.03531e6 0.143966
\(554\) −2.20194e6 1.06040e6i −0.304812 0.146790i
\(555\) 3.46896e6 + 1.51985e7i 0.478043 + 2.09444i
\(556\) 778705. + 976465.i 0.106828 + 0.133958i
\(557\) 7.35765e6 9.22620e6i 1.00485 1.26004i 0.0394618 0.999221i \(-0.487436\pi\)
0.965387 0.260820i \(-0.0839929\pi\)
\(558\) −232972. −0.0316751
\(559\) −3.68925e6 6.51762e6i −0.499353 0.882185i
\(560\) 299189. 0.0403158
\(561\) 1.78513e6 2.23848e6i 0.239476 0.300294i
\(562\) −3.39742e6 4.26023e6i −0.453741 0.568973i
\(563\) −2.34780e6 1.02864e7i −0.312169 1.36770i −0.850946 0.525253i \(-0.823971\pi\)
0.538777 0.842448i \(-0.318886\pi\)
\(564\) −524824. 252742.i −0.0694730 0.0334564i
\(565\) 8.44088e6 1.11241
\(566\) −5.69342e6 −0.747020
\(567\) −898837. 432857.i −0.117415 0.0565441i
\(568\) 252555. 1.10651e6i 0.0328462 0.143908i
\(569\) 3.85443e6 1.85620e6i 0.499091 0.240350i −0.167364 0.985895i \(-0.553525\pi\)
0.666454 + 0.745546i \(0.267811\pi\)
\(570\) 2.91013e6 1.27501e7i 0.375167 1.64372i
\(571\) −4.76809e6 + 5.97899e6i −0.612004 + 0.767428i −0.987195 0.159519i \(-0.949006\pi\)
0.375191 + 0.926947i \(0.377577\pi\)
\(572\) 6.96180e6 + 3.35262e6i 0.889675 + 0.428445i
\(573\) −300430. + 376727.i −0.0382258 + 0.0479336i
\(574\) −50229.0 220068.i −0.00636319 0.0278790i
\(575\) 2.45159e7 1.18063e7i 3.09228 1.48916i
\(576\) 370111. 178236.i 0.0464810 0.0223841i
\(577\) 9.70771e6 + 1.21731e7i 1.21388 + 1.52216i 0.785870 + 0.618391i \(0.212215\pi\)
0.428014 + 0.903772i \(0.359213\pi\)
\(578\) 914849. + 4.00821e6i 0.113902 + 0.499035i
\(579\) 1.43165e6 6.27249e6i 0.177477 0.777577i
\(580\) −1.00698e6 1.26271e6i −0.124294 0.155860i
\(581\) 718025. + 900375.i 0.0882469 + 0.110658i
\(582\) −428739. + 1.87843e6i −0.0524669 + 0.229872i
\(583\) 557722. + 2.44354e6i 0.0679589 + 0.297747i
\(584\) 3.49943e6 + 4.38815e6i 0.424586 + 0.532414i
\(585\) 1.55110e6 746970.i 0.187391 0.0902430i
\(586\) 7.09252e6 3.41558e6i 0.853211 0.410885i
\(587\) 655239. + 2.87079e6i 0.0784882 + 0.343879i 0.998890 0.0470933i \(-0.0149958\pi\)
−0.920402 + 0.390973i \(0.872139\pi\)
\(588\) −3.28792e6 + 4.12293e6i −0.392174 + 0.491770i
\(589\) 6.75607e6 + 3.25355e6i 0.802428 + 0.386429i
\(590\) −1.86789e6 + 2.34225e6i −0.220912 + 0.277015i
\(591\) −228158. + 999626.i −0.0268700 + 0.117725i
\(592\) 1.71228e6 824593.i 0.200804 0.0967020i
\(593\) 1.89762e6 8.31403e6i 0.221602 0.970901i −0.734671 0.678424i \(-0.762663\pi\)
0.956272 0.292477i \(-0.0944796\pi\)
\(594\) 6.45032e6 + 3.10631e6i 0.750093 + 0.361226i
\(595\) 627293. 0.0726404
\(596\) −7.71056e6 −0.889140
\(597\) −1.17889e7 5.67724e6i −1.35375 0.651931i
\(598\) −2.17146e6 9.51379e6i −0.248313 1.08793i
\(599\) 3.89232e6 + 4.88082e6i 0.443243 + 0.555809i 0.952395 0.304868i \(-0.0986123\pi\)
−0.509152 + 0.860677i \(0.670041\pi\)
\(600\) 8.45520e6 1.06025e7i 0.958839 1.20235i
\(601\) 1.16438e7 1.31495 0.657475 0.753477i \(-0.271625\pi\)
0.657475 + 0.753477i \(0.271625\pi\)
\(602\) 720700. 215597.i 0.0810519 0.0242466i
\(603\) −1.01064e6 −0.113189
\(604\) 3.59444e6 4.50729e6i 0.400903 0.502716i
\(605\) −9.35102e6 1.17258e7i −1.03865 1.30243i
\(606\) 1.65953e6 + 7.27087e6i 0.183571 + 0.804276i
\(607\) −1.30031e7 6.26197e6i −1.43244 0.689825i −0.452988 0.891517i \(-0.649642\pi\)
−0.979449 + 0.201691i \(0.935356\pi\)
\(608\) −1.83285e7 −2.01079
\(609\) −227032. −0.0248053
\(610\) 5.51577e6 + 2.65626e6i 0.600180 + 0.289032i
\(611\) 249329. 1.09238e6i 0.0270190 0.118378i
\(612\) −206113. + 99258.7i −0.0222447 + 0.0107125i
\(613\) −2.01733e6 + 8.83850e6i −0.216833 + 0.950008i 0.742968 + 0.669327i \(0.233417\pi\)
−0.959801 + 0.280681i \(0.909440\pi\)
\(614\) 2.86406e6 3.59142e6i 0.306593 0.384455i
\(615\) 4.42741e6 + 2.13213e6i 0.472022 + 0.227314i
\(616\) −1.18750e6 + 1.48908e6i −0.126091 + 0.158113i
\(617\) 2.99579e6 + 1.31254e7i 0.316809 + 1.38803i 0.843114 + 0.537736i \(0.180720\pi\)
−0.526304 + 0.850296i \(0.676423\pi\)
\(618\) 2.01933e6 972457.i 0.212684 0.102423i
\(619\) −4.06771e6 + 1.95891e6i −0.426701 + 0.205488i −0.634894 0.772599i \(-0.718956\pi\)
0.208193 + 0.978088i \(0.433242\pi\)
\(620\) 3.10958e6 + 3.89929e6i 0.324879 + 0.407386i
\(621\) 4.43184e6 + 1.94171e7i 0.461163 + 2.02049i
\(622\) −2.15926e6 + 9.46034e6i −0.223784 + 0.980462i
\(623\) 537933. + 674547.i 0.0555275 + 0.0696293i
\(624\) 925272. + 1.16025e6i 0.0951279 + 0.119287i
\(625\) −636666. + 2.78942e6i −0.0651946 + 0.285636i
\(626\) −932666. 4.08628e6i −0.0951241 0.416766i
\(627\) −1.58392e7 1.98617e7i −1.60903 2.01766i
\(628\) 5.38975e6 2.59556e6i 0.545342 0.262623i
\(629\) 3.59005e6 1.72888e6i 0.361805 0.174236i
\(630\) 38479.0 + 168588.i 0.00386254 + 0.0169229i
\(631\) −564769. + 708198.i −0.0564673 + 0.0708078i −0.809263 0.587446i \(-0.800133\pi\)
0.752796 + 0.658254i \(0.228705\pi\)
\(632\) −8.11283e6 3.90693e6i −0.807941 0.389084i
\(633\) 6.06259e6 7.60225e6i 0.601380 0.754107i
\(634\) 289408. 1.26798e6i 0.0285948 0.125282i
\(635\) 1.03189e7 4.96933e6i 1.01555 0.489062i
\(636\) −315098. + 1.38053e6i −0.0308889 + 0.135333i
\(637\) −9.13902e6 4.40112e6i −0.892383 0.429749i
\(638\) 1.42424e6 0.138526
\(639\) −200169. −0.0193929
\(640\) −1.23722e7 5.95812e6i −1.19398 0.574989i
\(641\) 823850. + 3.60952e6i 0.0791959 + 0.346980i 0.998965 0.0454793i \(-0.0144815\pi\)
−0.919769 + 0.392459i \(0.871624\pi\)
\(642\) −5.36707e6 6.73010e6i −0.513925 0.644442i
\(643\) 7.43016e6 9.31712e6i 0.708713 0.888698i −0.288927 0.957351i \(-0.593299\pi\)
0.997641 + 0.0686528i \(0.0218701\pi\)
\(644\) −2.15912e6 −0.205145
\(645\) −6.11273e6 + 1.51930e7i −0.578544 + 1.43795i
\(646\) −3.34275e6 −0.315154
\(647\) −9.92754e6 + 1.24487e7i −0.932354 + 1.16913i 0.0529967 + 0.998595i \(0.483123\pi\)
−0.985351 + 0.170540i \(0.945449\pi\)
\(648\) 5.40993e6 + 6.78384e6i 0.506121 + 0.634655i
\(649\) 1.29496e6 + 5.67357e6i 0.120682 + 0.528743i
\(650\) 9.57706e6 + 4.61207e6i 0.889097 + 0.428166i
\(651\) 701082. 0.0648361
\(652\) −880381. −0.0811058
\(653\) 2.75331e6 + 1.32592e6i 0.252681 + 0.121685i 0.555937 0.831224i \(-0.312360\pi\)
−0.303256 + 0.952909i \(0.598074\pi\)
\(654\) 1.15500e6 5.06040e6i 0.105594 0.462638i
\(655\) −1.93560e7 + 9.32135e6i −1.76284 + 0.848937i
\(656\) 133306. 584051.i 0.0120945 0.0529897i
\(657\) 617176. 773914.i 0.0557822 0.0699487i
\(658\) 101399. + 48831.4i 0.00912999 + 0.00439677i
\(659\) −6.91902e6 + 8.67617e6i −0.620627 + 0.778242i −0.988433 0.151661i \(-0.951538\pi\)
0.367805 + 0.929903i \(0.380109\pi\)
\(660\) −3.75978e6 1.64727e7i −0.335972 1.47199i
\(661\) −2.31436e6 + 1.11454e6i −0.206028 + 0.0992180i −0.534052 0.845451i \(-0.679332\pi\)
0.328024 + 0.944669i \(0.393617\pi\)
\(662\) 7.50415e6 3.61381e6i 0.665513 0.320494i
\(663\) 1.93997e6 + 2.43264e6i 0.171400 + 0.214929i
\(664\) −2.22881e6 9.76503e6i −0.196179 0.859515i
\(665\) 1.23853e6 5.42634e6i 0.108605 0.475831i
\(666\) 684863. + 858791.i 0.0598299 + 0.0750243i
\(667\) 2.47032e6 + 3.09768e6i 0.215000 + 0.269601i
\(668\) −2.13162e6 + 9.33922e6i −0.184828 + 0.809784i
\(669\) 960806. + 4.20957e6i 0.0829986 + 0.363640i
\(670\) −6.12384e6 7.67905e6i −0.527032 0.660877i
\(671\) 1.07144e7 5.15980e6i 0.918677 0.442412i
\(672\) −1.54391e6 + 743506.i −0.131886 + 0.0635128i
\(673\) 152283. + 667195.i 0.0129602 + 0.0567826i 0.980995 0.194035i \(-0.0621576\pi\)
−0.968034 + 0.250818i \(0.919300\pi\)
\(674\) 937737. 1.17588e6i 0.0795117 0.0997045i
\(675\) −1.95463e7 9.41299e6i −1.65122 0.795185i
\(676\) −140639. + 176356.i −0.0118369 + 0.0148430i
\(677\) −2.54455e6 + 1.11484e7i −0.213373 + 0.934849i 0.748883 + 0.662703i \(0.230591\pi\)
−0.962256 + 0.272147i \(0.912266\pi\)
\(678\) −3.78892e6 + 1.82465e6i −0.316550 + 0.152442i
\(679\) −182468. + 799443.i −0.0151884 + 0.0665446i
\(680\) −4.91554e6 2.36720e6i −0.407661 0.196319i
\(681\) −2.97327e6 −0.245678
\(682\) −4.39808e6 −0.362078
\(683\) −5.44867e6 2.62394e6i −0.446929 0.215230i 0.196861 0.980431i \(-0.436925\pi\)
−0.643791 + 0.765201i \(0.722639\pi\)
\(684\) 451679. + 1.97894e6i 0.0369139 + 0.161730i
\(685\) 1.85877e7 + 2.33082e7i 1.51355 + 1.89794i
\(686\) 1.28540e6 1.61184e6i 0.104286 0.130771i
\(687\) 1.64498e7 1.32975
\(688\) 1.97155e6 + 314371.i 0.158795 + 0.0253205i
\(689\) −2.72378e6 −0.218587
\(690\) −1.33043e7 + 1.66830e7i −1.06382 + 1.33399i
\(691\) 9.62878e6 + 1.20741e7i 0.767142 + 0.961966i 0.999944 0.0105582i \(-0.00336083\pi\)
−0.232802 + 0.972524i \(0.574789\pi\)
\(692\) 1.08574e6 + 4.75693e6i 0.0861906 + 0.377626i
\(693\) 302640. + 145744.i 0.0239383 + 0.0115281i
\(694\) −6.42287e6 −0.506210
\(695\) 5.25317e6 0.412534
\(696\) 1.77905e6 + 856746.i 0.139208 + 0.0670392i
\(697\) 279495. 1.22455e6i 0.0217918 0.0954759i
\(698\) 4.95380e6 2.38563e6i 0.384858 0.185338i
\(699\) −3.26105e6 + 1.42876e7i −0.252444 + 1.10603i
\(700\) 1.46638e6 1.83879e6i 0.113110 0.141836i
\(701\) −1.39449e7 6.71551e6i −1.07182 0.516160i −0.187125 0.982336i \(-0.559917\pi\)
−0.884692 + 0.466177i \(0.845631\pi\)
\(702\) −4.85094e6 + 6.08289e6i −0.371521 + 0.465872i
\(703\) −7.86731e6 3.44689e7i −0.600396 2.63051i
\(704\) 6.98701e6 3.36477e6i 0.531324 0.255872i
\(705\) −2.20745e6 + 1.06305e6i −0.167270 + 0.0805531i
\(706\) −2.89081e6 3.62496e6i −0.218277 0.273711i
\(707\) 706282. + 3.09442e6i 0.0531410 + 0.232826i
\(708\) −731614. + 3.20541e6i −0.0548528 + 0.240326i
\(709\) −203889. 255669.i −0.0152327 0.0191013i 0.774157 0.632994i \(-0.218174\pi\)
−0.789390 + 0.613893i \(0.789603\pi\)
\(710\) −1.21289e6 1.52092e6i −0.0902976 0.113230i
\(711\) −353382. + 1.54827e6i −0.0262163 + 0.114861i
\(712\) −1.66979e6 7.31581e6i −0.123441 0.540832i
\(713\) −7.62841e6 9.56572e6i −0.561966 0.704683i
\(714\) −281578. + 135601.i −0.0206706 + 0.00995444i
\(715\) 2.92819e7 1.41014e7i 2.14207 1.03157i
\(716\) −1.48822e6 6.52033e6i −0.108489 0.475321i
\(717\) −6.32460e6 + 7.93079e6i −0.459446 + 0.576128i
\(718\) 4.02900e6 + 1.94026e6i 0.291666 + 0.140459i
\(719\) 1.12191e7 1.40683e7i 0.809349 1.01489i −0.190102 0.981764i \(-0.560882\pi\)
0.999451 0.0331274i \(-0.0105467\pi\)
\(720\) −102122. + 447425.i −0.00734155 + 0.0321654i
\(721\) 859410. 413870.i 0.0615690 0.0296501i
\(722\) −4.85832e6 + 2.12857e7i −0.346851 + 1.51966i
\(723\) 3.39410e6 + 1.63451e6i 0.241479 + 0.116290i
\(724\) −2.69011e6 −0.190732
\(725\) −4.31583e6 −0.304944
\(726\) 6.73221e6 + 3.24206e6i 0.474041 + 0.228286i
\(727\) −1.94314e6 8.51347e6i −0.136354 0.597407i −0.996218 0.0868842i \(-0.972309\pi\)
0.859864 0.510523i \(-0.170548\pi\)
\(728\) −1.29050e6 1.61824e6i −0.0902466 0.113166i
\(729\) 9.76317e6 1.22426e7i 0.680412 0.853210i
\(730\) 9.62003e6 0.668143
\(731\) 4.13365e6 + 659125.i 0.286115 + 0.0456220i
\(732\) 6.71873e6 0.463457
\(733\) 5.92742e6 7.43275e6i 0.407480 0.510963i −0.535171 0.844744i \(-0.679753\pi\)
0.942651 + 0.333780i \(0.108324\pi\)
\(734\) −23549.4 29530.0i −0.00161339 0.00202313i
\(735\) 4.93561e6 + 2.16243e7i 0.336994 + 1.47647i
\(736\) 2.69436e7 + 1.29754e7i 1.83342 + 0.882928i
\(737\) −1.90791e7 −1.29386
\(738\) 346247. 0.0234016
\(739\) −1.41138e7 6.79684e6i −0.950675 0.457821i −0.106752 0.994286i \(-0.534045\pi\)
−0.843923 + 0.536465i \(0.819759\pi\)
\(740\) 5.23256e6 2.29253e7i 0.351265 1.53899i
\(741\) 2.48736e7 1.19785e7i 1.66415 0.801414i
\(742\) 60878.9 266728.i 0.00405935 0.0177852i
\(743\) −1.81317e6 + 2.27364e6i −0.120494 + 0.151095i −0.838420 0.545025i \(-0.816520\pi\)
0.717926 + 0.696120i \(0.245092\pi\)
\(744\) −5.49376e6 2.64566e6i −0.363863 0.175227i
\(745\) −2.02205e7 + 2.53558e7i −1.33476 + 1.67373i
\(746\) −1.10577e6 4.84468e6i −0.0727472 0.318726i
\(747\) −1.59156e6 + 766454.i −0.104357 + 0.0502556i
\(748\) −3.89103e6 + 1.87382e6i −0.254279 + 0.122454i
\(749\) −2.28418e6 2.86427e6i −0.148774 0.186556i
\(750\) −2.20336e6 9.65356e6i −0.143032 0.626663i
\(751\) 2.23434e6 9.78930e6i 0.144561 0.633362i −0.849781 0.527135i \(-0.823266\pi\)
0.994342 0.106226i \(-0.0338768\pi\)
\(752\) 186230. + 233525.i 0.0120089 + 0.0150587i
\(753\) −2.12941e6 2.67020e6i −0.136859 0.171616i
\(754\) −344412. + 1.50897e6i −0.0220622 + 0.0966610i
\(755\) −5.39574e6 2.36403e7i −0.344495 1.50933i
\(756\) 1.07330e6 + 1.34588e6i 0.0682994 + 0.0856448i
\(757\) 1.22540e7 5.90120e6i 0.777208 0.374283i −0.00284618 0.999996i \(-0.500906\pi\)
0.780054 + 0.625713i \(0.215192\pi\)
\(758\) 1.45463e7 7.00515e6i 0.919561 0.442837i