Properties

Label 43.6.g.a.9.8
Level 43
Weight 6
Character 43.9
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.8
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23023 - 1.54266i) q^{2} +(-24.9627 - 3.76252i) q^{3} +(6.25434 - 27.4020i) q^{4} +(-22.2688 - 15.1826i) q^{5} +(24.9055 + 43.1377i) q^{6} +(-4.12718 + 7.14849i) q^{7} +(-106.854 + 51.4581i) q^{8} +(376.774 + 116.219i) q^{9} +O(q^{10})\) \(q+(-1.23023 - 1.54266i) q^{2} +(-24.9627 - 3.76252i) q^{3} +(6.25434 - 27.4020i) q^{4} +(-22.2688 - 15.1826i) q^{5} +(24.9055 + 43.1377i) q^{6} +(-4.12718 + 7.14849i) q^{7} +(-106.854 + 51.4581i) q^{8} +(376.774 + 116.219i) q^{9} +(3.97415 + 53.0313i) q^{10} +(71.2864 + 312.326i) q^{11} +(-259.226 + 660.496i) q^{12} +(-30.7775 + 410.697i) q^{13} +(16.1051 - 2.42745i) q^{14} +(498.764 + 462.785i) q^{15} +(-599.508 - 288.708i) q^{16} +(156.495 - 106.696i) q^{17} +(-284.232 - 724.210i) q^{18} +(1640.35 - 505.982i) q^{19} +(-555.311 + 515.253i) q^{20} +(129.922 - 162.917i) q^{21} +(394.114 - 494.204i) q^{22} +(-2402.07 + 2228.80i) q^{23} +(2860.97 - 882.492i) q^{24} +(-876.303 - 2232.78i) q^{25} +(671.429 - 457.773i) q^{26} +(-3441.06 - 1657.13i) q^{27} +(170.070 + 157.802i) q^{28} +(-477.370 + 71.9520i) q^{29} +(100.326 - 1338.75i) q^{30} +(-2361.91 + 6018.06i) q^{31} +(1136.66 + 4980.02i) q^{32} +(-604.366 - 8064.71i) q^{33} +(-357.120 - 110.157i) q^{34} +(200.440 - 96.5268i) q^{35} +(5541.12 - 9597.50i) q^{36} +(-583.042 - 1009.86i) q^{37} +(-2798.57 - 1908.03i) q^{38} +(2313.54 - 10136.3i) q^{39} +(3160.77 + 476.410i) q^{40} +(-5332.59 - 6686.85i) q^{41} -411.159 q^{42} +(-12012.8 - 1643.76i) q^{43} +9004.22 q^{44} +(-6625.79 - 8308.47i) q^{45} +(6393.39 + 963.648i) q^{46} +(-5959.71 + 26111.2i) q^{47} +(13879.1 + 9462.58i) q^{48} +(8369.43 + 14496.3i) q^{49} +(-2366.37 + 4098.68i) q^{50} +(-4307.97 + 2074.61i) q^{51} +(11061.4 + 3412.00i) q^{52} +(2283.28 + 30468.3i) q^{53} +(1676.91 + 7347.03i) q^{54} +(3154.46 - 8037.44i) q^{55} +(73.1576 - 976.220i) q^{56} +(-42851.4 + 6458.81i) q^{57} +(698.273 + 647.903i) q^{58} +(14391.1 + 6930.37i) q^{59} +(15800.7 - 10772.7i) q^{60} +(-4113.59 - 10481.3i) q^{61} +(12189.5 - 3759.97i) q^{62} +(-2385.81 + 2213.70i) q^{63} +(-6991.79 + 8767.43i) q^{64} +(6920.83 - 8678.44i) q^{65} +(-11697.6 + 10853.8i) q^{66} +(-36164.2 + 11155.2i) q^{67} +(-1944.92 - 4955.59i) q^{68} +(68348.1 - 46598.9i) q^{69} +(-395.495 - 190.461i) q^{70} +(-6082.82 - 5644.03i) q^{71} +(-46240.1 + 6969.58i) q^{72} +(5537.68 - 73895.2i) q^{73} +(-840.593 + 2141.79i) q^{74} +(13474.0 + 59033.3i) q^{75} +(-3605.62 - 48113.6i) q^{76} +(-2526.87 - 779.436i) q^{77} +(-18483.0 + 8900.96i) q^{78} +(-5456.90 + 9451.63i) q^{79} +(8966.99 + 15531.3i) q^{80} +(498.813 + 340.085i) q^{81} +(-3755.23 + 16452.7i) q^{82} +(50663.3 + 7636.26i) q^{83} +(-3651.68 - 4579.06i) q^{84} -5104.87 q^{85} +(12242.7 + 20553.8i) q^{86} +12187.2 q^{87} +(-23688.9 - 29705.0i) q^{88} +(-82994.6 - 12509.4i) q^{89} +(-4665.91 + 20442.7i) q^{90} +(-2808.84 - 1915.03i) q^{91} +(46050.3 + 79761.4i) q^{92} +(81602.7 - 141340. i) q^{93} +(47612.5 - 22929.0i) q^{94} +(-44210.8 - 13637.2i) q^{95} +(-9636.59 - 128591. i) q^{96} +(-28223.1 - 123654. i) q^{97} +(12066.5 - 30745.0i) q^{98} +(-9439.48 + 125961. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23023 1.54266i −0.217476 0.272706i 0.661111 0.750288i \(-0.270085\pi\)
−0.878588 + 0.477581i \(0.841514\pi\)
\(3\) −24.9627 3.76252i −1.60136 0.241366i −0.713218 0.700943i \(-0.752763\pi\)
−0.888138 + 0.459577i \(0.848001\pi\)
\(4\) 6.25434 27.4020i 0.195448 0.856314i
\(5\) −22.2688 15.1826i −0.398356 0.271595i 0.347529 0.937669i \(-0.387021\pi\)
−0.745885 + 0.666075i \(0.767973\pi\)
\(6\) 24.9055 + 43.1377i 0.282435 + 0.489191i
\(7\) −4.12718 + 7.14849i −0.0318353 + 0.0551403i −0.881504 0.472176i \(-0.843469\pi\)
0.849669 + 0.527317i \(0.176802\pi\)
\(8\) −106.854 + 51.4581i −0.590289 + 0.284268i
\(9\) 376.774 + 116.219i 1.55051 + 0.478269i
\(10\) 3.97415 + 53.0313i 0.0125674 + 0.167700i
\(11\) 71.2864 + 312.326i 0.177634 + 0.778263i 0.982719 + 0.185104i \(0.0592623\pi\)
−0.805085 + 0.593159i \(0.797881\pi\)
\(12\) −259.226 + 660.496i −0.519666 + 1.32409i
\(13\) −30.7775 + 410.697i −0.0505097 + 0.674005i 0.913278 + 0.407336i \(0.133542\pi\)
−0.963788 + 0.266669i \(0.914077\pi\)
\(14\) 16.1051 2.42745i 0.0219605 0.00331001i
\(15\) 498.764 + 462.785i 0.572357 + 0.531069i
\(16\) −599.508 288.708i −0.585457 0.281941i
\(17\) 156.495 106.696i 0.131334 0.0895420i −0.495871 0.868396i \(-0.665151\pi\)
0.627205 + 0.778854i \(0.284199\pi\)
\(18\) −284.232 724.210i −0.206772 0.526846i
\(19\) 1640.35 505.982i 1.04245 0.321552i 0.274177 0.961679i \(-0.411595\pi\)
0.768269 + 0.640127i \(0.221118\pi\)
\(20\) −555.311 + 515.253i −0.310428 + 0.288035i
\(21\) 129.922 162.917i 0.0642885 0.0806153i
\(22\) 394.114 494.204i 0.173606 0.217695i
\(23\) −2402.07 + 2228.80i −0.946819 + 0.878520i −0.992722 0.120426i \(-0.961574\pi\)
0.0459034 + 0.998946i \(0.485383\pi\)
\(24\) 2860.97 882.492i 1.01388 0.312739i
\(25\) −876.303 2232.78i −0.280417 0.714491i
\(26\) 671.429 457.773i 0.194790 0.132806i
\(27\) −3441.06 1657.13i −0.908411 0.437468i
\(28\) 170.070 + 157.802i 0.0409952 + 0.0380380i
\(29\) −477.370 + 71.9520i −0.105405 + 0.0158872i −0.201533 0.979482i \(-0.564592\pi\)
0.0961280 + 0.995369i \(0.469354\pi\)
\(30\) 100.326 1338.75i 0.0203521 0.271580i
\(31\) −2361.91 + 6018.06i −0.441428 + 1.12474i 0.521085 + 0.853505i \(0.325527\pi\)
−0.962513 + 0.271236i \(0.912568\pi\)
\(32\) 1136.66 + 4980.02i 0.196225 + 0.859719i
\(33\) −604.366 8064.71i −0.0966085 1.28915i
\(34\) −357.120 110.157i −0.0529807 0.0163424i
\(35\) 200.440 96.5268i 0.0276576 0.0133192i
\(36\) 5541.12 9597.50i 0.712592 1.23425i
\(37\) −583.042 1009.86i −0.0700157 0.121271i 0.828892 0.559408i \(-0.188972\pi\)
−0.898908 + 0.438138i \(0.855638\pi\)
\(38\) −2798.57 1908.03i −0.314396 0.214352i
\(39\) 2313.54 10136.3i 0.243566 1.06713i
\(40\) 3160.77 + 476.410i 0.312351 + 0.0470794i
\(41\) −5332.59 6686.85i −0.495426 0.621244i 0.469765 0.882791i \(-0.344339\pi\)
−0.965191 + 0.261547i \(0.915767\pi\)
\(42\) −411.159 −0.0359655
\(43\) −12012.8 1643.76i −0.990768 0.135572i
\(44\) 9004.22 0.701156
\(45\) −6625.79 8308.47i −0.487760 0.611632i
\(46\) 6393.39 + 963.648i 0.445488 + 0.0671466i
\(47\) −5959.71 + 26111.2i −0.393533 + 1.72418i 0.258521 + 0.966006i \(0.416765\pi\)
−0.652053 + 0.758173i \(0.726092\pi\)
\(48\) 13879.1 + 9462.58i 0.869474 + 0.592798i
\(49\) 8369.43 + 14496.3i 0.497973 + 0.862515i
\(50\) −2366.37 + 4098.68i −0.133862 + 0.231856i
\(51\) −4307.97 + 2074.61i −0.231925 + 0.111689i
\(52\) 11061.4 + 3412.00i 0.567288 + 0.174985i
\(53\) 2283.28 + 30468.3i 0.111653 + 1.48990i 0.718745 + 0.695273i \(0.244717\pi\)
−0.607093 + 0.794631i \(0.707664\pi\)
\(54\) 1676.91 + 7347.03i 0.0782575 + 0.342868i
\(55\) 3154.46 8037.44i 0.140611 0.358270i
\(56\) 73.1576 976.220i 0.00311738 0.0415985i
\(57\) −42851.4 + 6458.81i −1.74694 + 0.263309i
\(58\) 698.273 + 647.903i 0.0272556 + 0.0252895i
\(59\) 14391.1 + 6930.37i 0.538224 + 0.259195i 0.683189 0.730242i \(-0.260593\pi\)
−0.144965 + 0.989437i \(0.546307\pi\)
\(60\) 15800.7 10772.7i 0.566628 0.386320i
\(61\) −4113.59 10481.3i −0.141546 0.360652i 0.842468 0.538747i \(-0.181102\pi\)
−0.984013 + 0.178094i \(0.943007\pi\)
\(62\) 12189.5 3759.97i 0.402724 0.124224i
\(63\) −2385.81 + 2213.70i −0.0757328 + 0.0702697i
\(64\) −6991.79 + 8767.43i −0.213372 + 0.267561i
\(65\) 6920.83 8678.44i 0.203177 0.254776i
\(66\) −11697.6 + 10853.8i −0.330550 + 0.306705i
\(67\) −36164.2 + 11155.2i −0.984219 + 0.303591i −0.744773 0.667318i \(-0.767442\pi\)
−0.239446 + 0.970910i \(0.576966\pi\)
\(68\) −1944.92 4955.59i −0.0510071 0.129964i
\(69\) 68348.1 46598.9i 1.72824 1.17829i
\(70\) −395.495 190.461i −0.00964709 0.00464579i
\(71\) −6082.82 5644.03i −0.143205 0.132875i 0.605318 0.795984i \(-0.293046\pi\)
−0.748523 + 0.663109i \(0.769237\pi\)
\(72\) −46240.1 + 6969.58i −1.05121 + 0.158444i
\(73\) 5537.68 73895.2i 0.121624 1.62297i −0.518766 0.854916i \(-0.673608\pi\)
0.640391 0.768049i \(-0.278772\pi\)
\(74\) −840.593 + 2141.79i −0.0178446 + 0.0454672i
\(75\) 13474.0 + 59033.3i 0.276594 + 1.21184i
\(76\) −3605.62 48113.6i −0.0716054 0.955508i
\(77\) −2526.87 779.436i −0.0485687 0.0149815i
\(78\) −18483.0 + 8900.96i −0.343983 + 0.165653i
\(79\) −5456.90 + 9451.63i −0.0983735 + 0.170388i −0.911012 0.412381i \(-0.864697\pi\)
0.812638 + 0.582769i \(0.198031\pi\)
\(80\) 8966.99 + 15531.3i 0.156647 + 0.271320i
\(81\) 498.813 + 340.085i 0.00844744 + 0.00575936i
\(82\) −3755.23 + 16452.7i −0.0616740 + 0.270211i
\(83\) 50663.3 + 7636.26i 0.807231 + 0.121671i 0.539677 0.841872i \(-0.318546\pi\)
0.267554 + 0.963543i \(0.413784\pi\)
\(84\) −3651.68 4579.06i −0.0564669 0.0708073i
\(85\) −5104.87 −0.0766369
\(86\) 12242.7 + 20553.8i 0.178497 + 0.299672i
\(87\) 12187.2 0.172625
\(88\) −23688.9 29705.0i −0.326091 0.408905i
\(89\) −82994.6 12509.4i −1.11064 0.167403i −0.432002 0.901872i \(-0.642193\pi\)
−0.678641 + 0.734470i \(0.737431\pi\)
\(90\) −4665.91 + 20442.7i −0.0607197 + 0.266030i
\(91\) −2808.84 1915.03i −0.0355568 0.0242422i
\(92\) 46050.3 + 79761.4i 0.567234 + 0.982479i
\(93\) 81602.7 141340.i 0.978357 1.69456i
\(94\) 47612.5 22929.0i 0.555778 0.267649i
\(95\) −44210.8 13637.2i −0.502597 0.155031i
\(96\) −9636.59 128591.i −0.106720 1.42408i
\(97\) −28223.1 123654.i −0.304562 1.33437i −0.863158 0.504934i \(-0.831517\pi\)
0.558595 0.829440i \(-0.311340\pi\)
\(98\) 12066.5 30745.0i 0.126916 0.323377i
\(99\) −9439.48 + 125961.i −0.0967966 + 1.29166i
\(100\) −66663.5 + 10047.9i −0.666635 + 0.100479i
\(101\) 52884.4 + 49069.5i 0.515851 + 0.478640i 0.894605 0.446858i \(-0.147457\pi\)
−0.378754 + 0.925497i \(0.623647\pi\)
\(102\) 8500.21 + 4093.49i 0.0808964 + 0.0389577i
\(103\) −44594.4 + 30404.0i −0.414178 + 0.282382i −0.752428 0.658674i \(-0.771117\pi\)
0.338250 + 0.941056i \(0.390165\pi\)
\(104\) −17845.0 45468.3i −0.161783 0.412216i
\(105\) −5366.70 + 1655.41i −0.0475044 + 0.0146532i
\(106\) 44193.3 41005.3i 0.382025 0.354467i
\(107\) −87107.9 + 109230.i −0.735526 + 0.922320i −0.999104 0.0423176i \(-0.986526\pi\)
0.263578 + 0.964638i \(0.415097\pi\)
\(108\) −66930.2 + 83927.8i −0.552157 + 0.692383i
\(109\) 48816.8 45295.4i 0.393553 0.365164i −0.458432 0.888729i \(-0.651589\pi\)
0.851985 + 0.523565i \(0.175398\pi\)
\(110\) −16279.8 + 5021.64i −0.128282 + 0.0395698i
\(111\) 10754.7 + 27402.5i 0.0828495 + 0.211097i
\(112\) 4538.10 3094.03i 0.0341845 0.0233066i
\(113\) −107955. 51988.4i −0.795329 0.383010i −0.00833037 0.999965i \(-0.502652\pi\)
−0.786998 + 0.616955i \(0.788366\pi\)
\(114\) 62680.8 + 58159.3i 0.451723 + 0.419138i
\(115\) 87330.3 13162.9i 0.615773 0.0928128i
\(116\) −1014.00 + 13530.9i −0.00699672 + 0.0933647i
\(117\) −59327.1 + 151163.i −0.400671 + 1.02089i
\(118\) −7013.12 30726.5i −0.0463667 0.203146i
\(119\) 116.835 + 1559.05i 0.000756320 + 0.0100924i
\(120\) −77108.8 23784.9i −0.488822 0.150782i
\(121\) 52636.1 25348.2i 0.326829 0.157392i
\(122\) −11108.3 + 19240.2i −0.0675694 + 0.117034i
\(123\) 107956. + 186986.i 0.643406 + 1.11441i
\(124\) 150135. + 102360.i 0.876854 + 0.597829i
\(125\) −33127.1 + 145139.i −0.189631 + 0.830826i
\(126\) 6350.08 + 957.121i 0.0356331 + 0.00537082i
\(127\) 24834.0 + 31140.9i 0.136627 + 0.171325i 0.845438 0.534073i \(-0.179339\pi\)
−0.708811 + 0.705399i \(0.750768\pi\)
\(128\) 185586. 1.00120
\(129\) 293686. + 86231.0i 1.55385 + 0.456235i
\(130\) −21902.1 −0.113665
\(131\) 173470. + 217525.i 0.883176 + 1.10747i 0.993529 + 0.113575i \(0.0362302\pi\)
−0.110354 + 0.993892i \(0.535198\pi\)
\(132\) −224769. 33878.5i −1.12280 0.169235i
\(133\) −3153.03 + 13814.3i −0.0154561 + 0.0677175i
\(134\) 61698.9 + 42065.6i 0.296835 + 0.202379i
\(135\) 51468.7 + 89146.4i 0.243057 + 0.420988i
\(136\) −11231.7 + 19453.8i −0.0520711 + 0.0901898i
\(137\) −348557. + 167856.i −1.58662 + 0.764075i −0.998985 0.0450517i \(-0.985655\pi\)
−0.587634 + 0.809127i \(0.699940\pi\)
\(138\) −155970. 48110.4i −0.697178 0.215051i
\(139\) −33039.4 440881.i −0.145043 1.93546i −0.313177 0.949695i \(-0.601393\pi\)
0.168135 0.985764i \(-0.446226\pi\)
\(140\) −1391.41 6096.18i −0.00599979 0.0262868i
\(141\) 247014. 629382.i 1.04634 2.66604i
\(142\) −1223.55 + 16327.2i −0.00509216 + 0.0679501i
\(143\) −130465. + 19664.5i −0.533525 + 0.0804160i
\(144\) −192326. 178452.i −0.772913 0.717159i
\(145\) 11722.9 + 5645.44i 0.0463036 + 0.0222986i
\(146\) −120808. + 82365.4i −0.469043 + 0.319788i
\(147\) −154381. 393356.i −0.589251 1.50139i
\(148\) −31318.7 + 9660.55i −0.117530 + 0.0362533i
\(149\) 28840.9 26760.4i 0.106425 0.0987477i −0.625166 0.780492i \(-0.714969\pi\)
0.731591 + 0.681744i \(0.238778\pi\)
\(150\) 74492.3 93410.4i 0.270323 0.338974i
\(151\) −220182. + 276100.i −0.785851 + 0.985426i 0.214112 + 0.976809i \(0.431314\pi\)
−0.999963 + 0.00861720i \(0.997257\pi\)
\(152\) −149241. + 138476.i −0.523938 + 0.486143i
\(153\) 71363.2 22012.6i 0.246460 0.0760228i
\(154\) 1906.23 + 4856.99i 0.00647699 + 0.0165031i
\(155\) 143967. 98154.9i 0.481319 0.328158i
\(156\) −263285. 126792.i −0.866194 0.417137i
\(157\) 414903. + 384974.i 1.34338 + 1.24647i 0.944108 + 0.329637i \(0.106926\pi\)
0.399269 + 0.916834i \(0.369264\pi\)
\(158\) 21293.9 3209.54i 0.0678598 0.0102282i
\(159\) 57640.6 769161.i 0.180816 2.41282i
\(160\) 50297.7 128157.i 0.155328 0.395768i
\(161\) −6018.75 26369.9i −0.0182996 0.0801758i
\(162\) −89.0194 1187.88i −0.000266500 0.00355619i
\(163\) −92036.1 28389.4i −0.271325 0.0836926i 0.156107 0.987740i \(-0.450105\pi\)
−0.427432 + 0.904048i \(0.640582\pi\)
\(164\) −216585. + 104302.i −0.628810 + 0.302819i
\(165\) −108985. + 188767.i −0.311642 + 0.539780i
\(166\) −50547.3 87550.6i −0.142373 0.246598i
\(167\) 146128. + 99628.4i 0.405455 + 0.276434i 0.748828 0.662765i \(-0.230617\pi\)
−0.343373 + 0.939199i \(0.611569\pi\)
\(168\) −5499.25 + 24093.8i −0.0150325 + 0.0658615i
\(169\) 199421. + 30057.9i 0.537099 + 0.0809547i
\(170\) 6280.17 + 7875.08i 0.0166667 + 0.0208994i
\(171\) 676847. 1.77011
\(172\) −120174. + 318894.i −0.309735 + 0.821911i
\(173\) 173465. 0.440654 0.220327 0.975426i \(-0.429288\pi\)
0.220327 + 0.975426i \(0.429288\pi\)
\(174\) −14993.0 18800.6i −0.0375418 0.0470760i
\(175\) 19577.7 + 2950.86i 0.0483244 + 0.00728373i
\(176\) 47434.2 207823.i 0.115428 0.505722i
\(177\) −333164. 227147.i −0.799327 0.544972i
\(178\) 82804.7 + 143422.i 0.195887 + 0.339286i
\(179\) −82291.4 + 142533.i −0.191965 + 0.332493i −0.945901 0.324454i \(-0.894819\pi\)
0.753936 + 0.656947i \(0.228153\pi\)
\(180\) −269109. + 129596.i −0.619080 + 0.298133i
\(181\) −189833. 58555.8i −0.430701 0.132854i 0.0718222 0.997417i \(-0.477119\pi\)
−0.502523 + 0.864564i \(0.667595\pi\)
\(182\) 501.272 + 6689.01i 0.00112175 + 0.0149687i
\(183\) 63250.2 + 277117.i 0.139616 + 0.611697i
\(184\) 141981. 361762.i 0.309162 0.787732i
\(185\) −2348.64 + 31340.4i −0.00504530 + 0.0673249i
\(186\) −318430. + 47995.6i −0.674888 + 0.101723i
\(187\) 44479.9 + 41271.4i 0.0930166 + 0.0863068i
\(188\) 678226. + 326617.i 1.39952 + 0.673975i
\(189\) 26047.8 17759.1i 0.0530416 0.0361632i
\(190\) 33351.9 + 84979.2i 0.0670250 + 0.170777i
\(191\) −179258. + 55293.9i −0.355546 + 0.109671i −0.467383 0.884055i \(-0.654803\pi\)
0.111836 + 0.993727i \(0.464327\pi\)
\(192\) 207521. 192552.i 0.406265 0.376959i
\(193\) −583280. + 731410.i −1.12715 + 1.41341i −0.229167 + 0.973387i \(0.573600\pi\)
−0.897988 + 0.440020i \(0.854971\pi\)
\(194\) −156035. + 195661.i −0.297657 + 0.373251i
\(195\) −205415. + 190597.i −0.386853 + 0.358947i
\(196\) 449573. 138675.i 0.835911 0.257844i
\(197\) −385858. 983150.i −0.708372 1.80490i −0.582455 0.812863i \(-0.697908\pi\)
−0.125917 0.992041i \(-0.540187\pi\)
\(198\) 205928. 140399.i 0.373295 0.254508i
\(199\) −900373. 433597.i −1.61172 0.776164i −0.611830 0.790989i \(-0.709566\pi\)
−0.999890 + 0.0148257i \(0.995281\pi\)
\(200\) 208531. + 193489.i 0.368634 + 0.342043i
\(201\) 944726. 142395.i 1.64936 0.248601i
\(202\) 10637.6 141949.i 0.0183429 0.244768i
\(203\) 1455.85 3709.43i 0.00247956 0.00631782i
\(204\) 29905.0 + 131022.i 0.0503117 + 0.220430i
\(205\) 17226.4 + 229871.i 0.0286293 + 0.382031i
\(206\) 101764. + 31390.1i 0.167081 + 0.0515377i
\(207\) −1.16407e6 + 560586.i −1.88822 + 0.909319i
\(208\) 137023. 237330.i 0.219601 0.380360i
\(209\) 274966. + 476256.i 0.435426 + 0.754179i
\(210\) 9156.01 + 6242.46i 0.0143271 + 0.00976805i
\(211\) 15944.9 69859.3i 0.0246557 0.108024i −0.961103 0.276191i \(-0.910928\pi\)
0.985758 + 0.168167i \(0.0537849\pi\)
\(212\) 849174. + 127992.i 1.29765 + 0.195589i
\(213\) 130608. + 163777.i 0.197251 + 0.247345i
\(214\) 275667. 0.411482
\(215\) 242553. + 218990.i 0.357858 + 0.323093i
\(216\) 452963. 0.660584
\(217\) −33272.0 41721.7i −0.0479655 0.0601469i
\(218\) −129931. 19584.0i −0.185171 0.0279100i
\(219\) −416267. + 1.82379e6i −0.586492 + 2.56959i
\(220\) −200513. 136708.i −0.279310 0.190430i
\(221\) 39003.3 + 67555.7i 0.0537181 + 0.0930425i
\(222\) 29042.0 50302.2i 0.0395497 0.0685022i
\(223\) 367232. 176850.i 0.494514 0.238145i −0.169968 0.985450i \(-0.554366\pi\)
0.664482 + 0.747304i \(0.268652\pi\)
\(224\) −40290.8 12428.1i −0.0536520 0.0165495i
\(225\) −70675.4 943098.i −0.0930705 1.24194i
\(226\) 52609.1 + 230496.i 0.0685157 + 0.300187i
\(227\) −81161.0 + 206795.i −0.104540 + 0.266364i −0.973567 0.228401i \(-0.926650\pi\)
0.869027 + 0.494764i \(0.164746\pi\)
\(228\) −91022.5 + 1.21461e6i −0.115961 + 1.54739i
\(229\) −1.14402e6 + 172433.i −1.44160 + 0.217286i −0.822831 0.568287i \(-0.807606\pi\)
−0.618769 + 0.785573i \(0.712368\pi\)
\(230\) −127742. 118528.i −0.159226 0.147741i
\(231\) 60144.8 + 28964.2i 0.0741597 + 0.0357134i
\(232\) 47306.3 32252.9i 0.0577031 0.0393413i
\(233\) −428773. 1.09249e6i −0.517413 1.31835i −0.915986 0.401210i \(-0.868590\pi\)
0.398573 0.917137i \(-0.369506\pi\)
\(234\) 306179. 94443.7i 0.365541 0.112754i
\(235\) 529152. 490981.i 0.625044 0.579956i
\(236\) 279913. 351000.i 0.327147 0.410229i
\(237\) 171781. 215406.i 0.198657 0.249108i
\(238\) 2261.36 2098.23i 0.00258778 0.00240111i
\(239\) −1.24054e6 + 382657.i −1.40481 + 0.433326i −0.902249 0.431216i \(-0.858085\pi\)
−0.502561 + 0.864542i \(0.667609\pi\)
\(240\) −165403. 421440.i −0.185360 0.472289i
\(241\) 509952. 347680.i 0.565571 0.385600i −0.246514 0.969139i \(-0.579285\pi\)
0.812085 + 0.583540i \(0.198333\pi\)
\(242\) −103858. 50015.5i −0.113999 0.0548992i
\(243\) 669163. + 620893.i 0.726970 + 0.674530i
\(244\) −312935. + 47167.4i −0.336496 + 0.0507186i
\(245\) 33714.2 449885.i 0.0358837 0.478835i
\(246\) 155644. 396575.i 0.163982 0.417819i
\(247\) 157319. + 689261.i 0.164074 + 0.718855i
\(248\) −57298.3 764592.i −0.0591578 0.789406i
\(249\) −1.23596e6 381243.i −1.26330 0.389676i
\(250\) 264655. 127451.i 0.267812 0.128971i
\(251\) 633150. 1.09665e6i 0.634340 1.09871i −0.352314 0.935882i \(-0.614605\pi\)
0.986654 0.162828i \(-0.0520615\pi\)
\(252\) 45738.4 + 79221.2i 0.0453711 + 0.0785851i
\(253\) −867347. 591347.i −0.851906 0.580820i
\(254\) 17488.2 76620.9i 0.0170083 0.0745183i
\(255\) 127431. + 19207.2i 0.122723 + 0.0184975i
\(256\) −4575.86 5737.95i −0.00436388 0.00547213i
\(257\) 470055. 0.443931 0.221965 0.975055i \(-0.428753\pi\)
0.221965 + 0.975055i \(0.428753\pi\)
\(258\) −228276. 559141.i −0.213507 0.522965i
\(259\) 9625.28 0.00891588
\(260\) −194522. 243923.i −0.178458 0.223779i
\(261\) −188223. 28370.0i −0.171030 0.0257786i
\(262\) 122159. 535212.i 0.109944 0.481695i
\(263\) −1.61559e6 1.10149e6i −1.44026 0.981956i −0.996303 0.0859098i \(-0.972620\pi\)
−0.443962 0.896046i \(-0.646427\pi\)
\(264\) 479573. + 830645.i 0.423492 + 0.733509i
\(265\) 411742. 713158.i 0.360173 0.623837i
\(266\) 25189.8 12130.8i 0.0218283 0.0105120i
\(267\) 2.02470e6 + 624537.i 1.73813 + 0.536142i
\(268\) 79491.5 + 1.06074e6i 0.0676058 + 0.902137i
\(269\) −47449.1 207888.i −0.0399804 0.175166i 0.950996 0.309204i \(-0.100063\pi\)
−0.990976 + 0.134038i \(0.957205\pi\)
\(270\) 74204.3 189069.i 0.0619469 0.157838i
\(271\) 31404.3 419062.i 0.0259757 0.346621i −0.969040 0.246903i \(-0.920587\pi\)
0.995016 0.0997177i \(-0.0317940\pi\)
\(272\) −124624. + 18784.0i −0.102136 + 0.0153945i
\(273\) 62910.7 + 58372.6i 0.0510879 + 0.0474026i
\(274\) 687751. + 331203.i 0.553420 + 0.266513i
\(275\) 634888. 432859.i 0.506250 0.345156i
\(276\) −849434. 2.16432e6i −0.671208 1.71021i
\(277\) 800187. 246825.i 0.626602 0.193281i 0.0348388 0.999393i \(-0.488908\pi\)
0.591763 + 0.806112i \(0.298432\pi\)
\(278\) −639483. + 593353.i −0.496269 + 0.460470i
\(279\) −1.58932e6 + 1.99295e6i −1.22237 + 1.53280i
\(280\) −16450.7 + 20628.5i −0.0125398 + 0.0157244i
\(281\) 1.10891e6 1.02892e6i 0.837780 0.777346i −0.139293 0.990251i \(-0.544483\pi\)
0.977073 + 0.212905i \(0.0682925\pi\)
\(282\) −1.27481e6 + 393226.i −0.954600 + 0.294455i
\(283\) 451370. + 1.15007e6i 0.335017 + 0.853610i 0.994771 + 0.102128i \(0.0325652\pi\)
−0.659754 + 0.751481i \(0.729340\pi\)
\(284\) −192702. + 131382.i −0.141772 + 0.0966585i
\(285\) 1.05231e6 + 506766.i 0.767417 + 0.369569i
\(286\) 190838. + 177072.i 0.137959 + 0.128007i
\(287\) 69809.4 10522.1i 0.0500276 0.00754044i
\(288\) −150512. + 2.00844e6i −0.106928 + 1.42685i
\(289\) −505626. + 1.28831e6i −0.356110 + 0.907354i
\(290\) −5712.85 25029.6i −0.00398894 0.0174767i
\(291\) 239276. + 3.19292e6i 0.165641 + 2.21032i
\(292\) −1.99025e6 613909.i −1.36600 0.421354i
\(293\) 539106. 259620.i 0.366864 0.176672i −0.241364 0.970435i \(-0.577595\pi\)
0.608228 + 0.793762i \(0.291881\pi\)
\(294\) −416891. + 722076.i −0.281290 + 0.487208i
\(295\) −215251. 372825.i −0.144009 0.249431i
\(296\) 114266. + 77905.0i 0.0758030 + 0.0516816i
\(297\) 272263. 1.19286e6i 0.179101 0.784692i
\(298\) −76763.1 11570.2i −0.0500740 0.00754744i
\(299\) −841431. 1.05512e6i −0.544303 0.682534i
\(300\) 1.70190e6 1.09177
\(301\) 61329.3 79089.0i 0.0390168 0.0503153i
\(302\) 696804. 0.439636
\(303\) −1.13551e6 1.42388e6i −0.710533 0.890981i
\(304\) −1.12949e6 170243.i −0.700966 0.105654i
\(305\) −67528.1 + 295860.i −0.0415657 + 0.182111i
\(306\) −121751. 83008.6i −0.0743310 0.0506780i
\(307\) 621911. + 1.07718e6i 0.376602 + 0.652293i 0.990565 0.137041i \(-0.0437593\pi\)
−0.613964 + 0.789334i \(0.710426\pi\)
\(308\) −37162.0 + 64366.6i −0.0223215 + 0.0386619i
\(309\) 1.22759e6 591176.i 0.731404 0.352226i
\(310\) −328532. 101339.i −0.194166 0.0598923i
\(311\) 49038.6 + 654374.i 0.0287499 + 0.383641i 0.992956 + 0.118486i \(0.0378041\pi\)
−0.964206 + 0.265155i \(0.914577\pi\)
\(312\) 274383. + 1.20215e6i 0.159577 + 0.699154i
\(313\) −331979. + 845868.i −0.191536 + 0.488025i −0.994091 0.108553i \(-0.965378\pi\)
0.802555 + 0.596578i \(0.203473\pi\)
\(314\) 83457.4 1.11366e6i 0.0477684 0.637425i
\(315\) 86738.8 13073.8i 0.0492535 0.00742377i
\(316\) 224865. + 208644.i 0.126679 + 0.117541i
\(317\) −292642. 140929.i −0.163564 0.0787684i 0.350310 0.936634i \(-0.386076\pi\)
−0.513875 + 0.857865i \(0.671790\pi\)
\(318\) −1.25746e6 + 857325.i −0.697313 + 0.475420i
\(319\) −56502.5 143966.i −0.0310879 0.0792106i
\(320\) 288811. 89086.4i 0.157666 0.0486336i
\(321\) 2.58542e6 2.39892e6i 1.40045 1.29943i
\(322\) −33275.3 + 41725.9i −0.0178847 + 0.0224267i
\(323\) 202720. 254203.i 0.108116 0.135573i
\(324\) 12438.8 11541.5i 0.00658286 0.00610800i
\(325\) 943968. 291176.i 0.495734 0.152914i
\(326\) 69430.5 + 176906.i 0.0361831 + 0.0921931i
\(327\) −1.38902e6 + 947020.i −0.718356 + 0.489767i
\(328\) 913900. + 440111.i 0.469045 + 0.225880i
\(329\) −162059. 150369.i −0.0825435 0.0765892i
\(330\) 425280. 64100.6i 0.214976 0.0324024i
\(331\) −151107. + 2.01638e6i −0.0758077 + 1.01158i 0.821509 + 0.570196i \(0.193133\pi\)
−0.897316 + 0.441388i \(0.854486\pi\)
\(332\) 526114. 1.34052e6i 0.261960 0.667463i
\(333\) −102310. 448249.i −0.0505600 0.221518i
\(334\) −26078.4 347992.i −0.0127913 0.170688i
\(335\) 974698. + 300654.i 0.474524 + 0.146371i
\(336\) −124924. + 60160.5i −0.0603670 + 0.0290712i
\(337\) −947318. + 1.64080e6i −0.454382 + 0.787013i −0.998652 0.0518970i \(-0.983473\pi\)
0.544270 + 0.838910i \(0.316807\pi\)
\(338\) −198965. 344617.i −0.0947294 0.164076i
\(339\) 2.49924e6 + 1.70395e6i 1.18116 + 0.805300i
\(340\) −31927.6 + 139884.i −0.0149785 + 0.0656252i
\(341\) −2.04797e6 308682.i −0.953757 0.143756i
\(342\) −832678. 1.04415e6i −0.384957 0.482721i
\(343\) −276900. −0.127083
\(344\) 1.36819e6 442511.i 0.623378 0.201617i
\(345\) −2.22952e6 −1.00847
\(346\) −213402. 267598.i −0.0958317 0.120169i
\(347\) −1.59516e6 240431.i −0.711180 0.107193i −0.216518 0.976279i \(-0.569470\pi\)
−0.494662 + 0.869085i \(0.664708\pi\)
\(348\) 76222.6 333953.i 0.0337392 0.147821i
\(349\) 427310. + 291335.i 0.187793 + 0.128035i 0.653567 0.756868i \(-0.273272\pi\)
−0.465774 + 0.884904i \(0.654224\pi\)
\(350\) −19532.9 33832.0i −0.00852308 0.0147624i
\(351\) 786484. 1.36223e6i 0.340739 0.590177i
\(352\) −1.47436e6 + 710016.i −0.634231 + 0.305430i
\(353\) 119390. + 36826.9i 0.0509954 + 0.0157300i 0.320148 0.947368i \(-0.396267\pi\)
−0.269153 + 0.963098i \(0.586744\pi\)
\(354\) 59457.2 + 793401.i 0.0252172 + 0.336500i
\(355\) 49765.9 + 218039.i 0.0209586 + 0.0918254i
\(356\) −861860. + 2.19598e6i −0.360422 + 0.918341i
\(357\) 2949.45 39357.7i 0.00122482 0.0163440i
\(358\) 321117. 48400.6i 0.132421 0.0199592i
\(359\) 1.94645e6 + 1.80604e6i 0.797091 + 0.739592i 0.969409 0.245449i \(-0.0789354\pi\)
−0.172319 + 0.985041i \(0.555126\pi\)
\(360\) 1.13553e6 + 546842.i 0.461787 + 0.222385i
\(361\) 388895. 265144.i 0.157059 0.107081i
\(362\) 143207. + 364885.i 0.0574371 + 0.146347i
\(363\) −1.40931e6 + 434715.i −0.561358 + 0.173156i
\(364\) −70043.2 + 64990.6i −0.0277085 + 0.0257097i
\(365\) −1.24524e6 + 1.56148e6i −0.489239 + 0.613486i
\(366\) 349686. 438492.i 0.136450 0.171103i
\(367\) 1.09315e6 1.01429e6i 0.423657 0.393096i −0.439327 0.898327i \(-0.644783\pi\)
0.862984 + 0.505231i \(0.168593\pi\)
\(368\) 2.08354e6 642686.i 0.802013 0.247388i
\(369\) −1.23204e6 3.13918e6i −0.471040 1.20019i
\(370\) 51237.0 34932.8i 0.0194572 0.0132657i
\(371\) −227226. 109426.i −0.0857083 0.0412749i
\(372\) −3.36264e6 3.12007e6i −1.25986 1.16898i
\(373\) 4.25250e6 640961.i 1.58260 0.238539i 0.701924 0.712252i \(-0.252325\pi\)
0.880679 + 0.473713i \(0.157086\pi\)
\(374\) 8947.10 119391.i 0.00330753 0.0441359i
\(375\) 1.37303e6 3.49842e6i 0.504199 1.28468i
\(376\) −706815. 3.09676e6i −0.257831 1.12963i
\(377\) −14858.2 198269.i −0.00538410 0.0718458i
\(378\) −59441.1 18335.1i −0.0213972 0.00660016i
\(379\) 2.34636e6 1.12995e6i 0.839065 0.404073i 0.0355582 0.999368i \(-0.488679\pi\)
0.803507 + 0.595295i \(0.202965\pi\)
\(380\) −650198. + 1.12618e6i −0.230986 + 0.400080i
\(381\) −502755. 870798.i −0.177437 0.307330i
\(382\) 305829. + 208511.i 0.107231 + 0.0731088i
\(383\) 709714. 3.10946e6i 0.247222 1.08315i −0.687056 0.726604i \(-0.741097\pi\)
0.934278 0.356545i \(-0.116045\pi\)
\(384\) −4.63271e6 698269.i −1.60327 0.241654i
\(385\) 44436.5 + 55721.6i 0.0152788 + 0.0191590i
\(386\) 1.84588e6 0.630574
\(387\) −4.33506e6 2.01544e6i −1.47135 0.684058i
\(388\) −3.56488e6 −1.20217
\(389\) 681049. + 854008.i 0.228194 + 0.286146i 0.882726 0.469888i \(-0.155706\pi\)
−0.654532 + 0.756034i \(0.727134\pi\)
\(390\) 546735. + 82407.0i 0.182018 + 0.0274349i
\(391\) −138107. + 605087.i −0.0456851 + 0.200160i
\(392\) −1.64026e6 1.11831e6i −0.539134 0.367575i
\(393\) −3.51184e6 6.08269e6i −1.14697 1.98662i
\(394\) −1.04197e6 + 1.80475e6i −0.338155 + 0.585701i
\(395\) 265019. 127626.i 0.0854642 0.0411574i
\(396\) 3.39255e6 + 1.04646e6i 1.08715 + 0.335341i
\(397\) 242554. + 3.23666e6i 0.0772383 + 1.03067i 0.892342 + 0.451359i \(0.149061\pi\)
−0.815104 + 0.579315i \(0.803320\pi\)
\(398\) 438774. + 1.92239e6i 0.138846 + 0.608323i
\(399\) 130685. 332979.i 0.0410953 0.104709i
\(400\) −119272. + 1.59157e6i −0.0372723 + 0.497365i
\(401\) 2.50099e6 376964.i 0.776697 0.117068i 0.251282 0.967914i \(-0.419148\pi\)
0.525416 + 0.850846i \(0.323910\pi\)
\(402\) −1.38190e6 1.28221e6i −0.426492 0.395727i
\(403\) −2.39891e6 1.15525e6i −0.735784 0.354335i
\(404\) 1.67536e6 1.14224e6i 0.510688 0.348181i
\(405\) −5944.58 15146.6i −0.00180088 0.00458856i
\(406\) −7513.42 + 2317.58i −0.00226216 + 0.000697783i
\(407\) 273842. 254088.i 0.0819435 0.0760324i
\(408\) 353567. 443360.i 0.105153 0.131858i
\(409\) −2.80396e6 + 3.51605e6i −0.828825 + 1.03931i 0.169725 + 0.985491i \(0.445712\pi\)
−0.998551 + 0.0538226i \(0.982859\pi\)
\(410\) 333420. 309369.i 0.0979562 0.0908901i
\(411\) 9.33248e6 2.87869e6i 2.72516 0.840601i
\(412\) 554222. + 1.41213e6i 0.160857 + 0.409858i
\(413\) −108936. + 74271.4i −0.0314266 + 0.0214263i
\(414\) 2.29687e6 + 1.10611e6i 0.658620 + 0.317175i
\(415\) −1.01227e6 939251.i −0.288521 0.267708i
\(416\) −2.08026e6 + 313549.i −0.589366 + 0.0888326i
\(417\) −834068. + 1.11299e7i −0.234888 + 3.13437i
\(418\) 396429. 1.01008e6i 0.110975 0.282759i
\(419\) 201719. + 883789.i 0.0561321 + 0.245931i 0.995208 0.0977784i \(-0.0311736\pi\)
−0.939076 + 0.343709i \(0.888316\pi\)
\(420\) 11796.4 + 157412.i 0.00326307 + 0.0435426i
\(421\) 4.42716e6 + 1.36560e6i 1.21736 + 0.375506i 0.835902 0.548879i \(-0.184945\pi\)
0.381460 + 0.924385i \(0.375421\pi\)
\(422\) −127385. + 61345.5i −0.0348207 + 0.0167688i
\(423\) −5.28009e6 + 9.14539e6i −1.43480 + 2.48514i
\(424\) −1.81182e6 3.13816e6i −0.489440 0.847736i
\(425\) −375366. 255920.i −0.100805 0.0687278i
\(426\) 91974.4 402966.i 0.0245552 0.107583i
\(427\) 91902.6 + 13852.1i 0.0243926 + 0.00367659i
\(428\) 2.44832e6 + 3.07009e6i 0.646038 + 0.810107i
\(429\) 3.33075e6 0.873774
\(430\) 39430.5 643585.i 0.0102840 0.167855i
\(431\) −3.70884e6 −0.961711 −0.480855 0.876800i \(-0.659674\pi\)
−0.480855 + 0.876800i \(0.659674\pi\)
\(432\) 1.58452e6 + 1.98692e6i 0.408496 + 0.512237i
\(433\) −1.88457e6 284053.i −0.483049 0.0728080i −0.0969967 0.995285i \(-0.530924\pi\)
−0.386053 + 0.922477i \(0.626162\pi\)
\(434\) −23430.3 + 102655.i −0.00597108 + 0.0261610i
\(435\) −271393. 185033.i −0.0687663 0.0468841i
\(436\) −935869. 1.62097e6i −0.235776 0.408375i
\(437\) −2.81252e6 + 4.87143e6i −0.704518 + 1.22026i
\(438\) 3.32559e6 1.60152e6i 0.828291 0.398884i
\(439\) 5.99376e6 + 1.84883e6i 1.48436 + 0.457864i 0.927842 0.372974i \(-0.121662\pi\)
0.556515 + 0.830837i \(0.312138\pi\)
\(440\) 76524.9 + 1.02115e6i 0.0188439 + 0.251454i
\(441\) 1.46863e6 + 6.43451e6i 0.359598 + 1.57550i
\(442\) 56232.4 143278.i 0.0136909 0.0348838i
\(443\) 531745. 7.09564e6i 0.128734 1.71784i −0.442263 0.896885i \(-0.645824\pi\)
0.570997 0.820952i \(-0.306557\pi\)
\(444\) 818147. 123316.i 0.196958 0.0296867i
\(445\) 1.65826e6 + 1.53864e6i 0.396966 + 0.368331i
\(446\) −724599. 348949.i −0.172489 0.0830662i
\(447\) −820631. + 559497.i −0.194258 + 0.132443i
\(448\) −33817.5 86165.5i −0.00796060 0.0202833i
\(449\) −5.19531e6 + 1.60254e6i −1.21617 + 0.375140i −0.835459 0.549553i \(-0.814798\pi\)
−0.380715 + 0.924693i \(0.624322\pi\)
\(450\) −1.36793e6 + 1.26926e6i −0.318444 + 0.295473i
\(451\) 1.70834e6 2.14219e6i 0.395487 0.495925i
\(452\) −2.09977e6 + 2.63303e6i −0.483422 + 0.606192i
\(453\) 6.53517e6 6.06375e6i 1.49628 1.38834i
\(454\) 418861. 129202.i 0.0953741 0.0294190i
\(455\) 33474.2 + 85291.0i 0.00758023 + 0.0193141i
\(456\) 4.24647e6 2.89520e6i 0.956349 0.652028i
\(457\) −896792. 431873.i −0.200864 0.0967309i 0.330748 0.943719i \(-0.392699\pi\)
−0.531611 + 0.846988i \(0.678413\pi\)
\(458\) 1.67341e6 + 1.55270e6i 0.372769 + 0.345879i
\(459\) −715316. + 107817.i −0.158477 + 0.0238866i
\(460\) 185502. 2.47535e6i 0.0408747 0.545435i
\(461\) −1.89695e6 + 4.83334e6i −0.415721 + 1.05924i 0.557664 + 0.830067i \(0.311698\pi\)
−0.973385 + 0.229174i \(0.926397\pi\)
\(462\) −29310.0 128416.i −0.00638868 0.0279906i
\(463\) −650705. 8.68306e6i −0.141069 1.88244i −0.399964 0.916531i \(-0.630977\pi\)
0.258895 0.965906i \(-0.416642\pi\)
\(464\) 306961. + 94684.8i 0.0661893 + 0.0204167i
\(465\) −3.96311e6 + 1.90853e6i −0.849969 + 0.409324i
\(466\) −1.15786e6 + 2.00547e6i −0.246997 + 0.427811i
\(467\) −562924. 975014.i −0.119442 0.206880i 0.800105 0.599861i \(-0.204777\pi\)
−0.919547 + 0.392981i \(0.871444\pi\)
\(468\) 3.77112e6 + 2.57111e6i 0.795895 + 0.542632i
\(469\) 69513.5 304559.i 0.0145928 0.0639350i
\(470\) −1.40840e6 212282.i −0.294090 0.0443269i
\(471\) −8.90862e6 1.11711e7i −1.85037 2.32029i
\(472\) −1.89436e6 −0.391389
\(473\) −342956. 3.86908e6i −0.0704832 0.795160i
\(474\) −543628. −0.111136
\(475\) −2.56720e6 3.21916e6i −0.522066 0.654650i
\(476\) 43452.0 + 6549.33i 0.00879007 + 0.00132489i
\(477\) −2.68072e6 + 1.17450e7i −0.539456 + 2.36351i
\(478\) 2.11647e6 + 1.44298e6i 0.423683 + 0.288862i
\(479\) −4.16908e6 7.22107e6i −0.830237 1.43801i −0.897850 0.440301i \(-0.854872\pi\)
0.0676137 0.997712i \(-0.478461\pi\)
\(480\) −1.73776e6 + 3.00988e6i −0.344259 + 0.596275i
\(481\) 432690. 208373.i 0.0852736 0.0410656i
\(482\) −1.16371e6 358957.i −0.228154 0.0703761i
\(483\) 51027.0 + 680908.i 0.00995249 + 0.132807i
\(484\) −365389. 1.60087e6i −0.0708993 0.310630i
\(485\) −1.24889e6 + 3.18212e6i −0.241085 + 0.614274i
\(486\) 134602. 1.79613e6i 0.0258499 0.344943i
\(487\) 6.40269e6 965050.i 1.22332 0.184386i 0.494553 0.869148i \(-0.335332\pi\)
0.728767 + 0.684762i \(0.240094\pi\)
\(488\) 978898. + 908284.i 0.186075 + 0.172652i
\(489\) 2.19065e6 + 1.05496e6i 0.414287 + 0.199510i
\(490\) −735495. + 501452.i −0.138385 + 0.0943494i
\(491\) 716830. + 1.82645e6i 0.134188 + 0.341904i 0.982135 0.188175i \(-0.0602573\pi\)
−0.847948 + 0.530080i \(0.822162\pi\)
\(492\) 5.79898e6 1.78875e6i 1.08004 0.333148i
\(493\) −67028.9 + 62193.7i −0.0124207 + 0.0115247i
\(494\) 869757. 1.09064e6i 0.160354 0.201078i
\(495\) 2.12262e6 2.66169e6i 0.389368 0.488252i
\(496\) 3.15345e6 2.92597e6i 0.575548 0.534031i
\(497\) 65451.2 20189.0i 0.0118857 0.00366627i
\(498\) 932386. + 2.37568e6i 0.168470 + 0.429254i
\(499\) −219886. + 149916.i −0.0395318 + 0.0269523i −0.582925 0.812526i \(-0.698092\pi\)
0.543393 + 0.839478i \(0.317139\pi\)
\(500\) 3.76992e6 + 1.81550e6i 0.674385 + 0.324767i
\(501\) −3.27289e6 3.03680e6i −0.582555 0.540533i
\(502\) −2.47068e6 + 372394.i −0.437579 + 0.0659544i
\(503\) −606181. + 8.08892e6i −0.106827 + 1.42551i 0.644007 + 0.765020i \(0.277271\pi\)
−0.750834 + 0.660491i \(0.770348\pi\)
\(504\) 141019. 359312.i 0.0247288 0.0630079i
\(505\) −432668. 1.89564e6i −0.0754964 0.330771i
\(506\) 154789. + 2.06552e6i 0.0268760 + 0.358635i
\(507\) −4.86499e6 1.50065e6i −0.840547 0.259275i
\(508\) 1.00864e6 485737.i 0.173412 0.0835107i
\(509\) −1.80474e6 + 3.12591e6i −0.308760 + 0.534788i −0.978091 0.208176i \(-0.933247\pi\)
0.669331 + 0.742964i \(0.266581\pi\)
\(510\) −127140. 220212.i −0.0216449 0.0374901i
\(511\) 505384. + 344565.i 0.0856188 + 0.0583739i
\(512\) 1.31827e6 5.77573e6i 0.222244 0.973715i
\(513\) −6.48303e6 977160.i −1.08764 0.163935i
\(514\) −578275. 725134.i −0.0965444 0.121063i
\(515\) 1.45468e6 0.241684
\(516\) 4.19971e6 7.50827e6i 0.694377 1.24141i
\(517\) −8.58006e6 −1.41177
\(518\) −11841.3 14848.5i −0.00193899 0.00243142i
\(519\) −4.33016e6 652666.i −0.705644 0.106359i
\(520\) −292941. + 1.28346e6i −0.0475085 + 0.208148i
\(521\) 3.34623e6 + 2.28142e6i 0.540083 + 0.368223i 0.802426 0.596752i \(-0.203542\pi\)
−0.262342 + 0.964975i \(0.584495\pi\)
\(522\) 187792. + 325266.i 0.0301648 + 0.0522471i
\(523\) 4.35935e6 7.55062e6i 0.696895 1.20706i −0.272642 0.962116i \(-0.587897\pi\)
0.969538 0.244943i \(-0.0787692\pi\)
\(524\) 7.04557e6 3.39297e6i 1.12095 0.539823i
\(525\) −477609. 147323.i −0.0756265 0.0233277i
\(526\) 288323. + 3.84740e6i 0.0454375 + 0.606321i
\(527\) 272477. + 1.19380e6i 0.0427370 + 0.187243i
\(528\) −1.96602e6 + 5.00934e6i −0.306905 + 0.781981i
\(529\) 321427. 4.28914e6i 0.0499393 0.666394i
\(530\) −1.60670e6 + 242171.i −0.248453 + 0.0374483i
\(531\) 4.61673e6 + 4.28370e6i 0.710556 + 0.659300i
\(532\) 358821. + 172799.i 0.0549665 + 0.0264705i
\(533\) 2.91039e6 1.98427e6i 0.443745 0.302540i
\(534\) −1.52740e6 3.89175e6i −0.231792 0.590597i
\(535\) 3.59818e6 1.10989e6i 0.543499 0.167647i
\(536\) 3.29026e6 3.05291e6i 0.494673 0.458989i
\(537\) 2.59050e6 3.24838e6i 0.387657 0.486106i
\(538\) −262327. + 328948.i −0.0390740 + 0.0489972i
\(539\) −3.93094e6 + 3.64738e6i −0.582807 + 0.540766i
\(540\) 2.76470e6 852796.i 0.408003 0.125852i
\(541\) −1.99720e6 5.08879e6i −0.293379 0.747517i −0.999233 0.0391600i \(-0.987532\pi\)
0.705854 0.708357i \(-0.250563\pi\)
\(542\) −685104. + 467096.i −0.100175 + 0.0682980i
\(543\) 4.51842e6 + 2.17596e6i 0.657639 + 0.316702i
\(544\) 709230. + 658070.i 0.102752 + 0.0953399i
\(545\) −1.77479e6 + 267507.i −0.255951 + 0.0385784i
\(546\) 12654.4 168862.i 0.00181661 0.0242409i
\(547\) 452296. 1.15243e6i 0.0646331 0.164682i −0.894908 0.446250i \(-0.852759\pi\)
0.959541 + 0.281568i \(0.0908544\pi\)
\(548\) 2.41961e6 + 1.06010e7i 0.344187 + 1.50798i
\(549\) −331768. 4.42714e6i −0.0469790 0.626891i
\(550\) −1.44881e6 446900.i −0.204224 0.0629946i
\(551\) −746650. + 359568.i −0.104770 + 0.0504547i
\(552\) −4.90536e6 + 8.49633e6i −0.685209 + 1.18682i
\(553\) −45043.2 78017.2i −0.00626349 0.0108487i
\(554\) −1.36518e6 930765.i −0.188980 0.128844i
\(555\) 176547. 773504.i 0.0243292 0.106593i
\(556\) −1.22877e7 1.85207e6i −1.68571 0.254080i
\(557\) −1.71032e6 2.14467e6i −0.233582 0.292903i 0.651201 0.758905i \(-0.274265\pi\)
−0.884784 + 0.466002i \(0.845694\pi\)
\(558\) 5.02967e6 0.683840
\(559\) 1.04481e6 4.88301e6i 0.141419 0.660935i
\(560\) −148033. −0.0199476
\(561\) −955054. 1.19760e6i −0.128121 0.160659i
\(562\) −2.95148e6 444864.i −0.394184 0.0594137i
\(563\) −1.98796e6 + 8.70982e6i −0.264324 + 1.15808i 0.652183 + 0.758061i \(0.273853\pi\)
−0.916507 + 0.400018i \(0.869004\pi\)
\(564\) −1.57014e7 1.07051e7i −2.07846 1.41707i
\(565\) 1.61471e6 + 2.79676e6i 0.212801 + 0.368582i
\(566\) 1.21888e6 2.11117e6i 0.159927 0.277001i
\(567\) −4489.78 + 2162.16i −0.000586499 + 0.000282443i
\(568\) 940403. + 290076.i 0.122305 + 0.0377260i
\(569\) 210769. + 2.81251e6i 0.0272914 + 0.364178i 0.994084 + 0.108615i \(0.0346417\pi\)
−0.966792 + 0.255563i \(0.917739\pi\)
\(570\) −512816. 2.24680e6i −0.0661112 0.289652i
\(571\) −3.65129e6 + 9.30333e6i −0.468658 + 1.19412i 0.479846 + 0.877353i \(0.340693\pi\)
−0.948503 + 0.316767i \(0.897403\pi\)
\(572\) −277127. + 3.69801e6i −0.0354152 + 0.472582i
\(573\) 4.68281e6 705820.i 0.595827 0.0898065i
\(574\) −102114. 94747.7i −0.0129361 0.0120030i
\(575\) 7.08137e6 + 3.41021e6i 0.893198 + 0.430142i
\(576\) −3.65327e6 + 2.49076e6i −0.458802 + 0.312806i
\(577\) −1.68494e6 4.29315e6i −0.210690 0.536830i 0.785991 0.618238i \(-0.212153\pi\)
−0.996681 + 0.0814087i \(0.974058\pi\)
\(578\) 2.60946e6 804913.i 0.324887 0.100214i
\(579\) 1.73122e7 1.60633e7i 2.14612 1.99131i
\(580\) 228015. 285922.i 0.0281445 0.0352921i
\(581\) −263684. + 330650.i −0.0324074 + 0.0406376i
\(582\) 4.63122e6 4.29714e6i 0.566745 0.525863i
\(583\) −9.35327e6 + 2.88510e6i −1.13970 + 0.351552i
\(584\) 3.21078e6 + 8.18095e6i 0.389564 + 0.992593i
\(585\) 3.61619e6 2.46548e6i 0.436879 0.297859i
\(586\) −1.06373e6 512265.i −0.127964 0.0616241i
\(587\) −3.51291e6 3.25950e6i −0.420796 0.390441i 0.441157 0.897430i \(-0.354568\pi\)
−0.861953 + 0.506989i \(0.830759\pi\)
\(588\) −1.17443e7 + 1.77017e6i −1.40083 + 0.211140i
\(589\) −829345. + 1.10668e7i −0.0985024 + 1.31442i
\(590\) −310334. + 790719.i −0.0367028 + 0.0935173i
\(591\) 5.93292e6 + 2.59938e7i 0.698715 + 3.06127i
\(592\) 57984.4 + 773748.i 0.00679996 + 0.0907392i
\(593\) −5.21684e6 1.60918e6i −0.609215 0.187918i −0.0252291 0.999682i \(-0.508032\pi\)
−0.583986 + 0.811764i \(0.698508\pi\)
\(594\) −2.17513e6 + 1.04749e6i −0.252941 + 0.121810i
\(595\) 21068.7 36492.1i 0.00243975 0.00422578i
\(596\) −552909. 957667.i −0.0637585 0.110433i
\(597\) 2.08443e7 + 1.42114e7i 2.39360 + 1.63193i
\(598\) −592539. + 2.59609e6i −0.0677586 + 0.296870i
\(599\) 1.49617e7 + 2.25512e6i 1.70378 + 0.256804i 0.927566 0.373660i \(-0.121897\pi\)
0.776218 + 0.630464i \(0.217136\pi\)
\(600\) −4.47749e6 5.61459e6i −0.507757 0.636708i
\(601\) 2.55073e6 0.288057 0.144028 0.989574i \(-0.453994\pi\)
0.144028 + 0.989574i \(0.453994\pi\)
\(602\) −197457. + 2687.42i −0.0222065 + 0.000302235i
\(603\) −1.49222e7 −1.67124
\(604\) 6.18861e6 + 7.76027e6i 0.690241 + 0.865535i
\(605\) −1.55699e6 234679.i −0.172941 0.0260667i
\(606\) −799631. + 3.50341e6i −0.0884521 + 0.387534i
\(607\) 8.48221e6 + 5.78307e6i 0.934410 + 0.637070i 0.931818 0.362927i \(-0.118223\pi\)
0.00259218 + 0.999997i \(0.499175\pi\)
\(608\) 4.38432e6 + 7.59387e6i 0.480999 + 0.833114i
\(609\) −50298.6 + 87119.7i −0.00549557 + 0.00951860i
\(610\) 539486. 259803.i 0.0587024 0.0282696i
\(611\) −1.05404e7 3.25127e6i −1.14223 0.352331i
\(612\) −156862. 2.09317e6i −0.0169293 0.225905i
\(613\) 334807. + 1.46689e6i 0.0359868 + 0.157669i 0.989729 0.142958i \(-0.0456614\pi\)
−0.953742 + 0.300627i \(0.902804\pi\)
\(614\) 896631. 2.28458e6i 0.0959826 0.244560i
\(615\) 434875. 5.80300e6i 0.0463635 0.618678i
\(616\) 310114. 46742.2i 0.0329283 0.00496315i
\(617\) 392447. + 364137.i 0.0415019 + 0.0385081i 0.700651 0.713504i \(-0.252893\pi\)
−0.659149 + 0.752012i \(0.729083\pi\)
\(618\) −2.42220e6 1.16647e6i −0.255117 0.122858i
\(619\) 1.00156e6 682852.i 0.105063 0.0716309i −0.509649 0.860383i \(-0.670225\pi\)
0.614712 + 0.788752i \(0.289272\pi\)
\(620\) −1.78923e6 4.55888e6i −0.186933 0.476298i
\(621\) 1.19591e7 3.68889e6i 1.24443 0.383854i
\(622\) 949148. 880681.i 0.0983690 0.0912731i
\(623\) 431957. 541657.i 0.0445883 0.0559119i
\(624\) −4.31341e6 + 5.40885e6i −0.443465 + 0.556088i
\(625\) −2.55336e6 + 2.36918e6i −0.261464 + 0.242604i
\(626\) 1.71330e6 528482.i 0.174742 0.0539007i
\(627\) −5.07197e6 1.29232e7i −0.515238 1.31281i
\(628\) 1.31440e7 8.96144e6i 1.32993 0.906731i
\(629\) −198991. 95829.1i −0.0200543 0.00965763i
\(630\) −126877. 117725.i −0.0127360 0.0118173i
\(631\) 9.96380e6 1.50180e6i 0.996212 0.150155i 0.369354 0.929289i \(-0.379579\pi\)
0.626858 + 0.779134i \(0.284341\pi\)
\(632\) 96727.9 1.29074e6i 0.00963294 0.128543i
\(633\) −660875. + 1.68388e6i −0.0655556 + 0.167033i
\(634\) 142612. + 624822.i 0.0140907 + 0.0617353i
\(635\) −80224.0 1.07052e6i −0.00789533 0.105356i
\(636\) −2.07161e7 6.39006e6i −2.03079 0.626415i
\(637\) −6.21117e6 + 2.99114e6i −0.606492 + 0.292071i
\(638\) −152580. + 264275.i −0.0148404 + 0.0257043i
\(639\) −1.63590e6 2.83346e6i −0.158491 0.274515i
\(640\) −4.13277e6 2.81767e6i −0.398833 0.271920i
\(641\) −2.39986e6 + 1.05145e7i −0.230696 + 1.01075i 0.718368 + 0.695664i \(0.244890\pi\)
−0.949064 + 0.315083i \(0.897967\pi\)
\(642\) −6.88139e6 1.03720e6i −0.658929 0.0993175i
\(643\) −4.52830e6 5.67831e6i −0.431925 0.541617i 0.517470 0.855701i \(-0.326874\pi\)
−0.949395 + 0.314085i \(0.898302\pi\)
\(644\) −760231. −0.0722322
\(645\) −5.23082e6 6.37918e6i −0.495074 0.603761i
\(646\) −641542. −0.0604844
\(647\) −5.86293e6 7.35188e6i −0.550623 0.690459i 0.426171 0.904643i \(-0.359862\pi\)
−0.976793 + 0.214184i \(0.931291\pi\)
\(648\) −70800.1 10671.4i −0.00662364 0.000998353i
\(649\) −1.13865e6 + 4.98874e6i −0.106115 + 0.464921i
\(650\) −1.61048e6 1.09801e6i −0.149511 0.101935i
\(651\) 673578. + 1.16667e6i 0.0622925 + 0.107894i
\(652\) −1.35355e6 + 2.34442e6i −0.124697 + 0.215982i
\(653\) 5.67957e6 2.73514e6i 0.521234 0.251013i −0.154718 0.987959i \(-0.549447\pi\)
0.675952 + 0.736946i \(0.263733\pi\)
\(654\) 3.16975e6 + 977738.i 0.289788 + 0.0893877i
\(655\) −560380. 7.47775e6i −0.0510363 0.681032i
\(656\) 1.26638e6 + 5.54838e6i 0.114896 + 0.503393i
\(657\) 1.06745e7 2.71982e7i 0.964794 2.45825i
\(658\) −32598.0 + 434990.i −0.00293512 + 0.0391665i
\(659\) −8.15796e6 + 1.22961e6i −0.731759 + 0.110295i −0.504344 0.863503i \(-0.668266\pi\)
−0.227415 + 0.973798i \(0.573027\pi\)
\(660\) 4.49098e6 + 4.16702e6i 0.401311 + 0.372362i
\(661\) 1.08701e6 + 523476.i 0.0967675 + 0.0466008i 0.481641 0.876368i \(-0.340041\pi\)
−0.384874 + 0.922969i \(0.625755\pi\)
\(662\) 3.29648e6 2.24750e6i 0.292352 0.199322i
\(663\) −719447. 1.83312e6i −0.0635645 0.161960i
\(664\) −5.80651e6 + 1.79107e6i −0.511087 + 0.157650i
\(665\) 279952. 259757.i 0.0245487 0.0227779i
\(666\) −565631. + 709279.i −0.0494138 + 0.0619629i
\(667\) 986312. 1.23680e6i 0.0858420 0.107642i
\(668\) 3.64396e6 3.38110e6i 0.315960 0.293168i
\(669\) −9.83250e6 + 3.03292e6i −0.849373 + 0.261997i
\(670\) −735295. 1.87350e6i −0.0632812 0.161238i
\(671\) 2.98032e6 2.03195e6i 0.255539 0.174224i
\(672\) 959005. + 461833.i 0.0819215 + 0.0394513i
\(673\) 1.15788e7 + 1.07435e7i 0.985428 + 0.914344i 0.996330 0.0855969i \(-0.0272797\pi\)
−0.0109017 + 0.999941i \(0.503470\pi\)
\(674\) 3.69662e6 557176.i 0.313441 0.0472436i
\(675\) −684595. + 9.13528e6i −0.0578328 + 0.771725i
\(676\) 2.07090e6 5.27656e6i 0.174298 0.444103i
\(677\) −4.16457e6 1.82462e7i −0.349219 1.53003i −0.778958 0.627076i \(-0.784252\pi\)
0.429739 0.902953i \(-0.358606\pi\)
\(678\) −446020. 5.95173e6i −0.0372632 0.497243i
\(679\) 1.00042e6 + 308588.i 0.0832736 + 0.0256865i
\(680\) 545475. 262687.i 0.0452379 0.0217854i
\(681\) 2.80406e6 4.85678e6i 0.231697 0.401311i
\(682\) 2.04328e6 + 3.53907e6i 0.168216 + 0.291359i
\(683\) −6.64132e6 4.52798e6i −0.544757 0.371409i 0.259452 0.965756i \(-0.416458\pi\)
−0.804209 + 0.594347i \(0.797411\pi\)
\(684\) 4.23323e6 1.85470e7i 0.345965 1.51577i
\(685\) 1.03104e7 + 1.55405e6i 0.839558 + 0.126543i
\(686\) 340650. + 427162.i 0.0276375 + 0.0346563i
\(687\) 2.92065e7 2.36096
\(688\) 6.72718e6 + 4.45363e6i 0.541829 + 0.358710i
\(689\) −1.25835e7 −1.00984
\(690\) 2.74283e6 + 3.43940e6i 0.219319 + 0.275017i
\(691\) −2.09018e7 3.15043e6i −1.66528 0.251001i −0.752247 0.658881i \(-0.771030\pi\)
−0.913035 + 0.407881i \(0.866268\pi\)
\(692\) 1.08491e6 4.75331e6i 0.0861249 0.377338i
\(693\) −861473. 587342.i −0.0681410 0.0464578i
\(694\) 1.59151e6 + 2.75657e6i 0.125432 + 0.217255i
\(695\) −5.95797e6 + 1.03195e7i −0.467882 + 0.810395i
\(696\) −1.30224e6 + 627128.i −0.101899 + 0.0490719i
\(697\) −1.54798e6 477490.i −0.120694 0.0372291i
\(698\) −76258.9 1.01760e6i −0.00592450 0.0790570i
\(699\) 6.59278e6 + 2.88848e7i 0.510359 + 2.23603i
\(700\) 203305. 518013.i 0.0156821 0.0399572i
\(701\) −471305. + 6.28913e6i −0.0362249 + 0.483387i 0.949358 + 0.314196i \(0.101735\pi\)
−0.985583 + 0.169192i \(0.945884\pi\)
\(702\) −3.06901e6 + 462579.i −0.235048 + 0.0354277i
\(703\) −1.46737e6 1.36152e6i −0.111983 0.103905i
\(704\) −3.23672e6 1.55872e6i −0.246135 0.118532i
\(705\) −1.50564e7 + 1.02653e7i −1.14090 + 0.777852i
\(706\) −90065.6 229484.i −0.00680060 0.0173277i
\(707\) −569036. + 175525.i −0.0428146 + 0.0132065i
\(708\) −8.30801e6 + 7.70871e6i −0.622894 + 0.577961i
\(709\) −1.31864e7 + 1.65352e7i −0.985169 + 1.23536i −0.0132825 + 0.999912i \(0.504228\pi\)
−0.971886 + 0.235451i \(0.924343\pi\)
\(710\) 275136. 345010.i 0.0204834 0.0256854i
\(711\) −3.15448e6 + 2.92693e6i −0.234020 + 0.217139i
\(712\) 9.51200e6 2.93406e6i 0.703189 0.216905i
\(713\) −7.73956e6 1.97201e7i −0.570154 1.45273i
\(714\) −64344.1 + 43869.1i −0.00472349 + 0.00322042i
\(715\) 3.20386e6 + 1.54290e6i 0.234374 + 0.112868i
\(716\) 3.39101e6 + 3.14640e6i 0.247199 + 0.229367i
\(717\) 3.24070e7 4.88458e6i 2.35419 0.354837i
\(718\) 391527. 5.22457e6i 0.0283433 0.378215i
\(719\) 3.61488e6 9.21057e6i 0.260779 0.664453i −0.739180 0.673508i \(-0.764787\pi\)
0.999959 + 0.00905433i \(0.00288212\pi\)
\(720\) 1.57349e6 + 6.89392e6i 0.113118 + 0.495604i
\(721\) −33293.1 444265.i −0.00238515 0.0318276i
\(722\) −887457. 273744.i −0.0633584 0.0195435i
\(723\) −1.40379e7 + 6.76031e6i −0.998751 + 0.480973i
\(724\) −2.79183e6 + 4.83559e6i −0.197944 + 0.342849i
\(725\) 578974. + 1.00281e6i 0.0409086 + 0.0708557i
\(726\) 2.40439e6 + 1.63929e6i 0.169303 + 0.115429i
\(727\) 915600. 4.01151e6i 0.0642495 0.281495i −0.932590 0.360938i \(-0.882457\pi\)
0.996839 + 0.0794421i \(0.0253139\pi\)
\(728\) 398679. + 60091.2i 0.0278801 + 0.00420225i
\(729\) −1.44594e7 1.81316e7i −1.00770 1.26362i
\(730\) 3.94077e6 0.273699
\(731\) −2.05532e6 + 1.02448e6i −0.142261 + 0.0709101i
\(732\) 7.98917e6 0.551092
\(733\) 4.32297e6 + 5.42084e6i 0.297182 + 0.372655i 0.907895 0.419197i \(-0.137688\pi\)
−0.610713 + 0.791852i \(0.709117\pi\)
\(734\) −2.90954e6 438542.i −0.199335 0.0300449i
\(735\) −2.53429e6 + 1.11035e7i −0.173037 + 0.758124i
\(736\) −1.38298e7 9.42900e6i −0.941069 0.641610i
\(737\) −6.06207e6 1.04998e7i −0.411104 0.712054i
\(738\) −3.32700e6 + 5.76253e6i −0.224860 + 0.389469i
\(739\) −4.91640e6 + 2.36761e6i −0.331159 + 0.159478i −0.592073 0.805884i \(-0.701690\pi\)
0.260914 + 0.965362i \(0.415976\pi\)
\(740\) 844103. + 260371.i 0.0566651 + 0.0174789i
\(741\) −1.33375e6 1.77977e7i −0.0892340 1.19074i
\(742\) 110733. + 485151.i 0.00738356 + 0.0323495i
\(743\) 8.04454e6 2.04971e7i 0.534600 1.36214i −0.367263 0.930117i \(-0.619705\pi\)
0.901863 0.432022i \(-0.142200\pi\)
\(744\) −1.44647e6 + 1.93018e7i −0.0958028 + 1.27840i
\(745\) −1.04854e6 + 158043.i −0.0692143 + 0.0104324i
\(746\) −6.22034e6 5.77163e6i −0.409230 0.379710i
\(747\) 1.82011e7 + 8.76520e6i 1.19343 + 0.574725i
\(748\) 1.40911e6 960716.i 0.0920856 0.0627829i
\(749\) −421318. 1.07350e6i −0.0274414 0.0699194i
\(750\) −7.08602e6 + 2.18575e6i −0.459991 + 0.141888i
\(751\) −6.91002e6 + 6.41156e6i −0.447074 + 0.414824i −0.871314 0.490726i \(-0.836732\pi\)
0.424240 + 0.905550i \(0.360541\pi\)
\(752\) 1.11114e7 1.39333e7i 0.716514 0.898480i
\(753\) −1.99313e7 + 2.49930e7i −1.28099 + 1.60632i
\(754\) −287583. +