Properties

Label 43.6.g.a.9.10
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 9.10
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.425286 + 0.533292i) q^{2} +(2.86518 + 0.431857i) q^{3} +(7.01714 - 30.7441i) q^{4} +(-54.5646 - 37.2015i) q^{5} +(0.988217 + 1.71164i) q^{6} +(-110.445 + 191.296i) q^{7} +(39.0457 - 18.8034i) q^{8} +(-224.181 - 69.1508i) q^{9} +O(q^{10})\) \(q+(0.425286 + 0.533292i) q^{2} +(2.86518 + 0.431857i) q^{3} +(7.01714 - 30.7441i) q^{4} +(-54.5646 - 37.2015i) q^{5} +(0.988217 + 1.71164i) q^{6} +(-110.445 + 191.296i) q^{7} +(39.0457 - 18.8034i) q^{8} +(-224.181 - 69.1508i) q^{9} +(-3.36630 - 44.9201i) q^{10} +(-26.2513 - 115.014i) q^{11} +(33.3824 - 85.0571i) q^{12} +(54.1148 - 722.112i) q^{13} +(-148.988 + 22.4563i) q^{14} +(-140.272 - 130.153i) q^{15} +(-882.545 - 425.011i) q^{16} +(-1441.13 + 982.543i) q^{17} +(-58.4637 - 148.963i) q^{18} +(1707.98 - 526.842i) q^{19} +(-1526.61 + 1416.49i) q^{20} +(-399.058 + 500.403i) q^{21} +(50.1719 - 62.9135i) q^{22} +(2960.79 - 2747.21i) q^{23} +(119.993 - 37.0130i) q^{24} +(451.650 + 1150.78i) q^{25} +(408.111 - 278.245i) q^{26} +(-1246.83 - 600.443i) q^{27} +(5106.23 + 4737.88i) q^{28} +(-866.614 + 130.621i) q^{29} +(9.75400 - 130.158i) q^{30} +(-819.205 + 2087.30i) q^{31} +(-457.270 - 2003.43i) q^{32} +(-25.5450 - 340.874i) q^{33} +(-1136.87 - 350.679i) q^{34} +(13142.9 - 6329.28i) q^{35} +(-3699.09 + 6407.01i) q^{36} +(3093.33 + 5357.81i) q^{37} +(1007.34 + 686.793i) q^{38} +(466.898 - 2045.61i) q^{39} +(-2830.02 - 426.557i) q^{40} +(-5259.93 - 6595.74i) q^{41} -436.574 q^{42} +(6012.44 + 10529.0i) q^{43} -3720.22 q^{44} +(9659.85 + 12113.1i) q^{45} +(2724.25 + 410.614i) q^{46} +(-72.4827 + 317.567i) q^{47} +(-2345.11 - 1598.87i) q^{48} +(-15992.7 - 27700.2i) q^{49} +(-421.624 + 730.274i) q^{50} +(-4553.41 + 2192.80i) q^{51} +(-21820.9 - 6730.87i) q^{52} +(-1997.69 - 26657.4i) q^{53} +(-210.049 - 920.286i) q^{54} +(-2846.31 + 7252.29i) q^{55} +(-715.376 + 9546.03i) q^{56} +(5121.20 - 771.896i) q^{57} +(-438.218 - 406.607i) q^{58} +(-24440.0 - 11769.7i) q^{59} +(-4985.75 + 3399.22i) q^{60} +(7171.13 + 18271.7i) q^{61} +(-1461.54 + 450.824i) q^{62} +(37988.0 - 35247.7i) q^{63} +(-18669.7 + 23411.1i) q^{64} +(-29816.4 + 37388.6i) q^{65} +(170.921 - 158.592i) q^{66} +(14620.0 - 4509.66i) q^{67} +(20094.8 + 51200.7i) q^{68} +(9669.60 - 6592.62i) q^{69} +(8964.84 + 4317.24i) q^{70} +(-51562.9 - 47843.3i) q^{71} +(-10053.6 + 1515.33i) q^{72} +(6251.72 - 83423.3i) q^{73} +(-1541.73 + 3928.25i) q^{74} +(797.085 + 3492.26i) q^{75} +(-4212.15 - 56207.2i) q^{76} +(24901.1 + 7680.98i) q^{77} +(1289.47 - 620.978i) q^{78} +(-37423.3 + 64819.0i) q^{79} +(32344.6 + 56022.5i) q^{80} +(43789.8 + 29855.4i) q^{81} +(1280.48 - 5610.15i) q^{82} +(50827.9 + 7661.08i) q^{83} +(12584.2 + 15780.1i) q^{84} +115186. q^{85} +(-3058.00 + 7684.21i) q^{86} -2539.42 q^{87} +(-3187.66 - 3997.19i) q^{88} +(-19922.3 - 3002.80i) q^{89} +(-2351.60 + 10303.0i) q^{90} +(132161. + 90105.6i) q^{91} +(-63684.2 - 110304. i) q^{92} +(-3248.59 + 5626.72i) q^{93} +(-200.182 + 96.4025i) q^{94} +(-112795. - 34792.5i) q^{95} +(-444.967 - 5937.68i) q^{96} +(29296.0 + 128354. i) q^{97} +(7970.80 - 20309.3i) q^{98} +(-2068.29 + 27599.4i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.425286 + 0.533292i 0.0751807 + 0.0942736i 0.818000 0.575219i \(-0.195083\pi\)
−0.742819 + 0.669492i \(0.766512\pi\)
\(3\) 2.86518 + 0.431857i 0.183802 + 0.0277036i 0.240298 0.970699i \(-0.422755\pi\)
−0.0564964 + 0.998403i \(0.517993\pi\)
\(4\) 7.01714 30.7441i 0.219286 0.960753i
\(5\) −54.5646 37.2015i −0.976080 0.665480i −0.0334927 0.999439i \(-0.510663\pi\)
−0.942588 + 0.333959i \(0.891615\pi\)
\(6\) 0.988217 + 1.71164i 0.0112066 + 0.0194104i
\(7\) −110.445 + 191.296i −0.851924 + 1.47558i 0.0275449 + 0.999621i \(0.491231\pi\)
−0.879469 + 0.475956i \(0.842102\pi\)
\(8\) 39.0457 18.8034i 0.215699 0.103875i
\(9\) −224.181 69.1508i −0.922557 0.284571i
\(10\) −3.36630 44.9201i −0.0106452 0.142050i
\(11\) −26.2513 115.014i −0.0654136 0.286596i 0.931632 0.363402i \(-0.118385\pi\)
−0.997046 + 0.0768062i \(0.975528\pi\)
\(12\) 33.3824 85.0571i 0.0669214 0.170513i
\(13\) 54.1148 722.112i 0.0888091 1.18508i −0.757664 0.652645i \(-0.773660\pi\)
0.846473 0.532431i \(-0.178721\pi\)
\(14\) −148.988 + 22.4563i −0.203156 + 0.0306208i
\(15\) −140.272 130.153i −0.160969 0.149357i
\(16\) −882.545 425.011i −0.861860 0.415050i
\(17\) −1441.13 + 982.543i −1.20943 + 0.824573i −0.988574 0.150734i \(-0.951836\pi\)
−0.220852 + 0.975307i \(0.570884\pi\)
\(18\) −58.4637 148.963i −0.0425309 0.108367i
\(19\) 1707.98 526.842i 1.08542 0.334809i 0.300108 0.953905i \(-0.402977\pi\)
0.785315 + 0.619097i \(0.212501\pi\)
\(20\) −1526.61 + 1416.49i −0.853403 + 0.791842i
\(21\) −399.058 + 500.403i −0.197464 + 0.247612i
\(22\) 50.1719 62.9135i 0.0221006 0.0277132i
\(23\) 2960.79 2747.21i 1.16705 1.08286i 0.171832 0.985126i \(-0.445031\pi\)
0.995213 0.0977334i \(-0.0311593\pi\)
\(24\) 119.993 37.0130i 0.0425235 0.0131168i
\(25\) 451.650 + 1150.78i 0.144528 + 0.368251i
\(26\) 408.111 278.245i 0.118398 0.0807224i
\(27\) −1246.83 600.443i −0.329154 0.158512i
\(28\) 5106.23 + 4737.88i 1.23085 + 1.14206i
\(29\) −866.614 + 130.621i −0.191351 + 0.0288415i −0.244018 0.969771i \(-0.578466\pi\)
0.0526675 + 0.998612i \(0.483228\pi\)
\(30\) 9.75400 130.158i 0.00197870 0.0264039i
\(31\) −819.205 + 2087.30i −0.153105 + 0.390104i −0.986761 0.162179i \(-0.948148\pi\)
0.833657 + 0.552283i \(0.186243\pi\)
\(32\) −457.270 2003.43i −0.0789402 0.345860i
\(33\) −25.5450 340.874i −0.00408338 0.0544890i
\(34\) −1136.87 350.679i −0.168661 0.0520250i
\(35\) 13142.9 6329.28i 1.81351 0.873342i
\(36\) −3699.09 + 6407.01i −0.475706 + 0.823947i
\(37\) 3093.33 + 5357.81i 0.371469 + 0.643403i 0.989792 0.142521i \(-0.0455209\pi\)
−0.618323 + 0.785924i \(0.712188\pi\)
\(38\) 1007.34 + 686.793i 0.113166 + 0.0771555i
\(39\) 466.898 2045.61i 0.0491542 0.215358i
\(40\) −2830.02 426.557i −0.279666 0.0421529i
\(41\) −5259.93 6595.74i −0.488675 0.612779i 0.474958 0.880009i \(-0.342463\pi\)
−0.963633 + 0.267229i \(0.913892\pi\)
\(42\) −436.574 −0.0381887
\(43\) 6012.44 + 10529.0i 0.495884 + 0.868389i
\(44\) −3720.22 −0.289692
\(45\) 9659.85 + 12113.1i 0.711114 + 0.891708i
\(46\) 2724.25 + 410.614i 0.189824 + 0.0286114i
\(47\) −72.4827 + 317.567i −0.00478618 + 0.0209696i −0.977265 0.212023i \(-0.931995\pi\)
0.972478 + 0.232993i \(0.0748519\pi\)
\(48\) −2345.11 1598.87i −0.146913 0.100163i
\(49\) −15992.7 27700.2i −0.951550 1.64813i
\(50\) −421.624 + 730.274i −0.0238506 + 0.0413105i
\(51\) −4553.41 + 2192.80i −0.245138 + 0.118052i
\(52\) −21820.9 6730.87i −1.11909 0.345194i
\(53\) −1997.69 26657.4i −0.0976875 1.30355i −0.803566 0.595216i \(-0.797067\pi\)
0.705878 0.708333i \(-0.250552\pi\)
\(54\) −210.049 920.286i −0.00980250 0.0429476i
\(55\) −2846.31 + 7252.29i −0.126875 + 0.323272i
\(56\) −715.376 + 9546.03i −0.0304835 + 0.406774i
\(57\) 5121.20 771.896i 0.208778 0.0314682i
\(58\) −438.218 406.607i −0.0171049 0.0158710i
\(59\) −24440.0 11769.7i −0.914051 0.440184i −0.0831075 0.996541i \(-0.526484\pi\)
−0.830943 + 0.556357i \(0.812199\pi\)
\(60\) −4985.75 + 3399.22i −0.178794 + 0.121899i
\(61\) 7171.13 + 18271.7i 0.246753 + 0.628717i 0.999564 0.0295199i \(-0.00939784\pi\)
−0.752811 + 0.658237i \(0.771303\pi\)
\(62\) −1461.54 + 450.824i −0.0482870 + 0.0148946i
\(63\) 37988.0 35247.7i 1.20586 1.11887i
\(64\) −18669.7 + 23411.1i −0.569755 + 0.714450i
\(65\) −29816.4 + 37388.6i −0.875329 + 1.09763i
\(66\) 170.921 158.592i 0.00482988 0.00448147i
\(67\) 14620.0 4509.66i 0.397887 0.122732i −0.0893530 0.996000i \(-0.528480\pi\)
0.487240 + 0.873268i \(0.338004\pi\)
\(68\) 20094.8 + 51200.7i 0.527001 + 1.34278i
\(69\) 9669.60 6592.62i 0.244504 0.166700i
\(70\) 8964.84 + 4317.24i 0.218674 + 0.105308i
\(71\) −51562.9 47843.3i −1.21392 1.12636i −0.988361 0.152127i \(-0.951388\pi\)
−0.225562 0.974229i \(-0.572422\pi\)
\(72\) −10053.6 + 1515.33i −0.228554 + 0.0344490i
\(73\) 6251.72 83423.3i 0.137307 1.83223i −0.325234 0.945634i \(-0.605443\pi\)
0.462540 0.886598i \(-0.346938\pi\)
\(74\) −1541.73 + 3928.25i −0.0327286 + 0.0833912i
\(75\) 797.085 + 3492.26i 0.0163626 + 0.0716891i
\(76\) −4212.15 56207.2i −0.0836508 1.11624i
\(77\) 24901.1 + 7680.98i 0.478622 + 0.147635i
\(78\) 1289.47 620.978i 0.0239980 0.0115569i
\(79\) −37423.3 + 64819.0i −0.674643 + 1.16852i 0.301930 + 0.953330i \(0.402369\pi\)
−0.976573 + 0.215186i \(0.930964\pi\)
\(80\) 32344.6 + 56022.5i 0.565037 + 0.978673i
\(81\) 43789.8 + 29855.4i 0.741584 + 0.505604i
\(82\) 1280.48 5610.15i 0.0210300 0.0921383i
\(83\) 50827.9 + 7661.08i 0.809855 + 0.122066i 0.540900 0.841087i \(-0.318084\pi\)
0.268955 + 0.963153i \(0.413322\pi\)
\(84\) 12584.2 + 15780.1i 0.194593 + 0.244012i
\(85\) 115186. 1.72923
\(86\) −3058.00 + 7684.21i −0.0445853 + 0.112035i
\(87\) −2539.42 −0.0359696
\(88\) −3187.66 3997.19i −0.0438798 0.0550236i
\(89\) −19922.3 3002.80i −0.266602 0.0401838i 0.0143807 0.999897i \(-0.495422\pi\)
−0.280983 + 0.959713i \(0.590660\pi\)
\(90\) −2351.60 + 10303.0i −0.0306025 + 0.134078i
\(91\) 132161. + 90105.6i 1.67301 + 1.14064i
\(92\) −63684.2 110304.i −0.784444 1.35870i
\(93\) −3248.59 + 5626.72i −0.0389482 + 0.0674602i
\(94\) −200.182 + 96.4025i −0.00233671 + 0.00112530i
\(95\) −112795. 34792.5i −1.28227 0.395527i
\(96\) −444.967 5937.68i −0.00492777 0.0657565i
\(97\) 29296.0 + 128354.i 0.316140 + 1.38510i 0.844262 + 0.535931i \(0.180039\pi\)
−0.528122 + 0.849169i \(0.677104\pi\)
\(98\) 7970.80 20309.3i 0.0838372 0.213614i
\(99\) −2068.29 + 27599.4i −0.0212091 + 0.283016i
\(100\) 38549.1 5810.34i 0.385491 0.0581034i
\(101\) −107265. 99527.0i −1.04629 0.970817i −0.0466869 0.998910i \(-0.514866\pi\)
−0.999605 + 0.0280923i \(0.991057\pi\)
\(102\) −3105.91 1495.73i −0.0295589 0.0142348i
\(103\) −98484.4 + 67145.5i −0.914691 + 0.623626i −0.926496 0.376304i \(-0.877195\pi\)
0.0118050 + 0.999930i \(0.496242\pi\)
\(104\) −11465.2 29212.9i −0.103944 0.264844i
\(105\) 40390.1 12458.7i 0.357521 0.110281i
\(106\) 13366.6 12402.4i 0.115546 0.107211i
\(107\) 41691.9 52280.0i 0.352040 0.441445i −0.574008 0.818850i \(-0.694612\pi\)
0.926048 + 0.377405i \(0.123184\pi\)
\(108\) −27209.3 + 34119.4i −0.224470 + 0.281476i
\(109\) −27004.4 + 25056.4i −0.217705 + 0.202001i −0.781485 0.623925i \(-0.785537\pi\)
0.563779 + 0.825925i \(0.309347\pi\)
\(110\) −5078.08 + 1566.38i −0.0400146 + 0.0123429i
\(111\) 6549.16 + 16687.0i 0.0504520 + 0.128550i
\(112\) 178776. 121887.i 1.34668 0.918149i
\(113\) −60441.5 29107.1i −0.445286 0.214439i 0.197784 0.980246i \(-0.436626\pi\)
−0.643070 + 0.765807i \(0.722340\pi\)
\(114\) 2589.62 + 2402.82i 0.0186627 + 0.0173164i
\(115\) −263754. + 39754.6i −1.85975 + 0.280312i
\(116\) −2065.33 + 27559.9i −0.0142509 + 0.190166i
\(117\) −62066.1 + 158142.i −0.419170 + 1.06803i
\(118\) −4117.31 18039.1i −0.0272213 0.119264i
\(119\) −28791.7 384199.i −0.186381 2.48708i
\(120\) −7924.32 2444.33i −0.0502353 0.0154955i
\(121\) 132563. 63838.9i 0.823111 0.396389i
\(122\) −6694.38 + 11595.0i −0.0407203 + 0.0705296i
\(123\) −12222.2 21169.5i −0.0728431 0.126168i
\(124\) 58423.7 + 39832.6i 0.341220 + 0.232640i
\(125\) −27755.7 + 121606.i −0.158883 + 0.696112i
\(126\) 34953.1 + 5268.33i 0.196137 + 0.0295629i
\(127\) −135113. 169426.i −0.743339 0.932118i 0.256064 0.966660i \(-0.417574\pi\)
−0.999403 + 0.0345422i \(0.989003\pi\)
\(128\) −86183.5 −0.464942
\(129\) 12679.7 + 32763.9i 0.0670867 + 0.173349i
\(130\) −32619.5 −0.169285
\(131\) 38790.2 + 48641.4i 0.197490 + 0.247644i 0.870709 0.491799i \(-0.163660\pi\)
−0.673219 + 0.739443i \(0.735089\pi\)
\(132\) −10659.1 1606.60i −0.0532459 0.00802552i
\(133\) −87854.9 + 384918.i −0.430663 + 1.88686i
\(134\) 8622.64 + 5878.82i 0.0414838 + 0.0282832i
\(135\) 45695.5 + 79147.0i 0.215794 + 0.373766i
\(136\) −37794.6 + 65462.1i −0.175219 + 0.303489i
\(137\) −34944.0 + 16828.2i −0.159064 + 0.0766011i −0.511722 0.859151i \(-0.670992\pi\)
0.352658 + 0.935752i \(0.385278\pi\)
\(138\) 7628.14 + 2352.97i 0.0340974 + 0.0105176i
\(139\) 1065.86 + 14222.9i 0.00467910 + 0.0624382i 0.999055 0.0434744i \(-0.0138427\pi\)
−0.994375 + 0.105913i \(0.966224\pi\)
\(140\) −102363. 448480.i −0.441389 1.93385i
\(141\) −344.820 + 878.586i −0.00146064 + 0.00372166i
\(142\) 3585.50 47845.2i 0.0149221 0.199121i
\(143\) −84473.7 + 12732.4i −0.345447 + 0.0520678i
\(144\) 168460. + 156308.i 0.677004 + 0.628168i
\(145\) 52145.7 + 25112.1i 0.205967 + 0.0991887i
\(146\) 47147.8 32144.8i 0.183054 0.124804i
\(147\) −33859.5 86272.6i −0.129237 0.329291i
\(148\) 186427. 57505.2i 0.699609 0.215801i
\(149\) 9561.53 8871.81i 0.0352827 0.0327376i −0.662334 0.749208i \(-0.730434\pi\)
0.697617 + 0.716471i \(0.254244\pi\)
\(150\) −1523.40 + 1910.29i −0.00552824 + 0.00693219i
\(151\) 103847. 130219.i 0.370638 0.464765i −0.561179 0.827695i \(-0.689652\pi\)
0.931817 + 0.362929i \(0.118223\pi\)
\(152\) 56782.8 52686.7i 0.199346 0.184966i
\(153\) 391017. 120613.i 1.35042 0.416548i
\(154\) 6493.90 + 16546.2i 0.0220650 + 0.0562207i
\(155\) 122350. 83417.0i 0.409049 0.278885i
\(156\) −59614.2 28708.7i −0.196127 0.0944500i
\(157\) 56482.3 + 52407.9i 0.182879 + 0.169687i 0.766300 0.642483i \(-0.222096\pi\)
−0.583421 + 0.812170i \(0.698286\pi\)
\(158\) −50483.0 + 7609.10i −0.160880 + 0.0242488i
\(159\) 5788.41 77240.9i 0.0181579 0.242301i
\(160\) −49579.9 + 126328.i −0.153111 + 0.390120i
\(161\) 198527. + 869804.i 0.603608 + 2.64458i
\(162\) 2701.56 + 36049.8i 0.00808774 + 0.107923i
\(163\) 114072. + 35186.4i 0.336286 + 0.103730i 0.458299 0.888798i \(-0.348459\pi\)
−0.122013 + 0.992528i \(0.538935\pi\)
\(164\) −239690. + 115428.i −0.695889 + 0.335122i
\(165\) −11287.2 + 19549.9i −0.0322756 + 0.0559030i
\(166\) 17530.8 + 30364.3i 0.0493778 + 0.0855249i
\(167\) 296399. + 202082.i 0.822405 + 0.560706i 0.899804 0.436294i \(-0.143709\pi\)
−0.0773992 + 0.997000i \(0.524662\pi\)
\(168\) −6172.21 + 27042.2i −0.0168720 + 0.0739212i
\(169\) −151371. 22815.5i −0.407686 0.0614488i
\(170\) 48987.2 + 61428.0i 0.130005 + 0.163021i
\(171\) −419329. −1.09664
\(172\) 365893. 110964.i 0.943047 0.285996i
\(173\) −326492. −0.829387 −0.414694 0.909961i \(-0.636111\pi\)
−0.414694 + 0.909961i \(0.636111\pi\)
\(174\) −1079.98 1354.25i −0.00270422 0.00339099i
\(175\) −270023. 40699.5i −0.666509 0.100460i
\(176\) −25714.4 + 112662.i −0.0625742 + 0.274156i
\(177\) −64942.1 44276.8i −0.155809 0.106229i
\(178\) −6871.29 11901.4i −0.0162551 0.0281546i
\(179\) 213282. 369416.i 0.497534 0.861754i −0.502462 0.864599i \(-0.667572\pi\)
0.999996 + 0.00284537i \(0.000905710\pi\)
\(180\) 440190. 211984.i 1.01265 0.487666i
\(181\) 34114.4 + 10522.9i 0.0774001 + 0.0238748i 0.333213 0.942851i \(-0.391867\pi\)
−0.255813 + 0.966726i \(0.582343\pi\)
\(182\) 8153.50 + 108801.i 0.0182459 + 0.243475i
\(183\) 12655.8 + 55448.7i 0.0279359 + 0.122395i
\(184\) 63949.0 162939.i 0.139248 0.354798i
\(185\) 30532.2 407423.i 0.0655886 0.875218i
\(186\) −4382.26 + 660.520i −0.00928786 + 0.00139992i
\(187\) 150838. + 139957.i 0.315432 + 0.292678i
\(188\) 9254.70 + 4456.83i 0.0190971 + 0.00919668i
\(189\) 252569. 172199.i 0.514311 0.350651i
\(190\) −29415.4 74949.2i −0.0591140 0.150620i
\(191\) −729897. + 225144.i −1.44770 + 0.446556i −0.916275 0.400550i \(-0.868819\pi\)
−0.531424 + 0.847106i \(0.678343\pi\)
\(192\) −63602.5 + 59014.5i −0.124515 + 0.115533i
\(193\) 602815. 755906.i 1.16491 1.46075i 0.303497 0.952832i \(-0.401846\pi\)
0.861408 0.507913i \(-0.169583\pi\)
\(194\) −55991.1 + 70210.6i −0.106811 + 0.133936i
\(195\) −101576. + 94248.7i −0.191295 + 0.177496i
\(196\) −963840. + 297305.i −1.79211 + 0.552793i
\(197\) −220821. 562644.i −0.405393 1.03292i −0.977159 0.212507i \(-0.931837\pi\)
0.571767 0.820416i \(-0.306258\pi\)
\(198\) −15598.1 + 10634.6i −0.0282754 + 0.0192779i
\(199\) 230884. + 111188.i 0.413295 + 0.199033i 0.628965 0.777434i \(-0.283479\pi\)
−0.215669 + 0.976466i \(0.569193\pi\)
\(200\) 39273.6 + 36440.6i 0.0694266 + 0.0644185i
\(201\) 43836.4 6607.28i 0.0765324 0.0115354i
\(202\) 7458.80 99530.8i 0.0128615 0.171624i
\(203\) 70725.9 180207.i 0.120459 0.306924i
\(204\) 35463.9 + 155378.i 0.0596638 + 0.261404i
\(205\) 41634.3 + 555571.i 0.0691937 + 0.923326i
\(206\) −77692.2 23964.9i −0.127559 0.0393466i
\(207\) −853725. + 411132.i −1.38482 + 0.666893i
\(208\) −354664. + 614296.i −0.568407 + 0.984509i
\(209\) −105431. 182612.i −0.166956 0.289177i
\(210\) 23821.5 + 16241.2i 0.0372753 + 0.0254138i
\(211\) 41484.3 181755.i 0.0641472 0.281047i −0.932674 0.360721i \(-0.882531\pi\)
0.996821 + 0.0796736i \(0.0253878\pi\)
\(212\) −833574. 125641.i −1.27381 0.191996i
\(213\) −127076. 159348.i −0.191917 0.240656i
\(214\) 45611.5 0.0680832
\(215\) 63626.6 798180.i 0.0938735 1.17762i
\(216\) −59973.8 −0.0874636
\(217\) −308816. 387243.i −0.445195 0.558257i
\(218\) −24847.0 3745.08i −0.0354106 0.00533728i
\(219\) 53939.3 236323.i 0.0759967 0.332963i
\(220\) 202992. + 138398.i 0.282763 + 0.192784i
\(221\) 631519. + 1.09382e6i 0.869773 + 1.50649i
\(222\) −6113.77 + 10589.4i −0.00832581 + 0.0144207i
\(223\) −199439. + 96044.7i −0.268564 + 0.129334i −0.563320 0.826239i \(-0.690476\pi\)
0.294756 + 0.955573i \(0.404762\pi\)
\(224\) 433753. + 133795.i 0.577593 + 0.178164i
\(225\) −21673.8 289216.i −0.0285416 0.380861i
\(226\) −10182.4 44611.8i −0.0132610 0.0581004i
\(227\) 285068. 726342.i 0.367185 0.935571i −0.621208 0.783646i \(-0.713358\pi\)
0.988392 0.151925i \(-0.0485472\pi\)
\(228\) 12204.9 162863.i 0.0155488 0.207484i
\(229\) 273162. 41172.5i 0.344216 0.0518822i 0.0253406 0.999679i \(-0.491933\pi\)
0.318875 + 0.947797i \(0.396695\pi\)
\(230\) −133372. 123751.i −0.166243 0.154251i
\(231\) 68029.2 + 32761.1i 0.0838814 + 0.0403951i
\(232\) −31381.4 + 21395.5i −0.0382783 + 0.0260977i
\(233\) 171088. + 435925.i 0.206457 + 0.526043i 0.996170 0.0874322i \(-0.0278661\pi\)
−0.789714 + 0.613476i \(0.789771\pi\)
\(234\) −110732. + 34156.2i −0.132200 + 0.0407784i
\(235\) 15769.0 14631.5i 0.0186266 0.0172829i
\(236\) −533346. + 668795.i −0.623346 + 0.781651i
\(237\) −135217. + 169557.i −0.156373 + 0.196085i
\(238\) 192645. 178749.i 0.220453 0.204551i
\(239\) 1.09735e6 338486.i 1.24265 0.383307i 0.397384 0.917653i \(-0.369918\pi\)
0.845266 + 0.534346i \(0.179442\pi\)
\(240\) 68479.5 + 174483.i 0.0767419 + 0.195535i
\(241\) 532461. 363026.i 0.590534 0.402619i −0.230855 0.972988i \(-0.574152\pi\)
0.821389 + 0.570369i \(0.193200\pi\)
\(242\) 90421.8 + 43544.9i 0.0992510 + 0.0477968i
\(243\) 359085. + 333183.i 0.390105 + 0.361965i
\(244\) 612068. 92254.5i 0.658151 0.0992003i
\(245\) −157853. + 2.10640e6i −0.168011 + 2.24195i
\(246\) 6091.60 15521.1i 0.00641791 0.0163526i
\(247\) −288012. 1.26186e6i −0.300378 1.31604i
\(248\) 7261.94 + 96903.8i 0.00749762 + 0.100049i
\(249\) 142323. + 43900.8i 0.145471 + 0.0448719i
\(250\) −76655.5 + 36915.3i −0.0775699 + 0.0373557i
\(251\) 223184. 386566.i 0.223604 0.387293i −0.732296 0.680987i \(-0.761551\pi\)
0.955900 + 0.293694i \(0.0948845\pi\)
\(252\) −817092. 1.41525e6i −0.810531 1.40388i
\(253\) −393693. 268415.i −0.386684 0.263637i
\(254\) 32891.9 144109.i 0.0319893 0.140154i
\(255\) 330030. + 49744.1i 0.317836 + 0.0479061i
\(256\) 560779. + 703194.i 0.534800 + 0.670618i
\(257\) 1.74912e6 1.65191 0.825955 0.563735i \(-0.190636\pi\)
0.825955 + 0.563735i \(0.190636\pi\)
\(258\) −12080.2 + 20696.0i −0.0112986 + 0.0193570i
\(259\) −1.36657e6 −1.26585
\(260\) 940252. + 1.17904e6i 0.862602 + 1.08167i
\(261\) 203311. + 30644.3i 0.184740 + 0.0278450i
\(262\) −9443.13 + 41373.0i −0.00849890 + 0.0372361i
\(263\) −1.37914e6 940283.i −1.22947 0.838242i −0.238351 0.971179i \(-0.576607\pi\)
−0.991124 + 0.132937i \(0.957559\pi\)
\(264\) −7407.00 12829.3i −0.00654083 0.0113290i
\(265\) −882690. + 1.52886e6i −0.772135 + 1.33738i
\(266\) −242637. + 116848.i −0.210258 + 0.101255i
\(267\) −55784.2 17207.1i −0.0478887 0.0147717i
\(268\) −36055.2 481123.i −0.0306641 0.409184i
\(269\) 365317. + 1.60056e6i 0.307814 + 1.34862i 0.858030 + 0.513600i \(0.171688\pi\)
−0.550215 + 0.835023i \(0.685454\pi\)
\(270\) −22774.8 + 58029.1i −0.0190127 + 0.0484436i
\(271\) −87216.4 + 1.16382e6i −0.0721398 + 0.962639i 0.837284 + 0.546768i \(0.184142\pi\)
−0.909424 + 0.415871i \(0.863477\pi\)
\(272\) 1.68945e6 254644.i 1.38460 0.208694i
\(273\) 339752. + 315244.i 0.275902 + 0.256000i
\(274\) −23835.5 11478.6i −0.0191800 0.00923659i
\(275\) 120500. 82155.7i 0.0960852 0.0655098i
\(276\) −134831. 343544.i −0.106541 0.271463i
\(277\) 1.17837e6 363478.i 0.922743 0.284629i 0.203249 0.979127i \(-0.434850\pi\)
0.719494 + 0.694498i \(0.244374\pi\)
\(278\) −7131.65 + 6617.20i −0.00553449 + 0.00513526i
\(279\) 327989. 411285.i 0.252260 0.316324i
\(280\) 394161. 494262.i 0.300454 0.376758i
\(281\) 397038. 368397.i 0.299962 0.278324i −0.515804 0.856707i \(-0.672507\pi\)
0.815765 + 0.578383i \(0.196316\pi\)
\(282\) −615.190 + 189.761i −0.000460666 + 0.000142097i
\(283\) −470348. 1.19843e6i −0.349103 0.889499i −0.992307 0.123804i \(-0.960490\pi\)
0.643204 0.765695i \(-0.277605\pi\)
\(284\) −1.83272e6 + 1.24953e6i −1.34835 + 0.919286i
\(285\) −308152. 148398.i −0.224725 0.108222i
\(286\) −42715.6 39634.3i −0.0308796 0.0286520i
\(287\) 1.84267e6 277738.i 1.32052 0.199036i
\(288\) −36027.5 + 480753.i −0.0255948 + 0.341539i
\(289\) 592721. 1.51023e6i 0.417451 1.06365i
\(290\) 8784.79 + 38488.7i 0.00613390 + 0.0268744i
\(291\) 28507.8 + 380410.i 0.0197347 + 0.263342i
\(292\) −2.52091e6 777596.i −1.73021 0.533700i
\(293\) 582953. 280736.i 0.396702 0.191042i −0.224887 0.974385i \(-0.572201\pi\)
0.621590 + 0.783343i \(0.286487\pi\)
\(294\) 31608.5 54747.5i 0.0213273 0.0369400i
\(295\) 895707. + 1.55141e6i 0.599254 + 1.03794i
\(296\) 221526. + 151034.i 0.146959 + 0.100195i
\(297\) −36328.6 + 159166.i −0.0238978 + 0.104703i
\(298\) 8797.65 + 1326.03i 0.00573886 + 0.000864995i
\(299\) −1.82357e6 2.28668e6i −1.17963 1.47920i
\(300\) 112960. 0.0724636
\(301\) −2.67820e6 12712.6i −1.70383 0.00808755i
\(302\) 113609. 0.0716799
\(303\) −264351. 331486.i −0.165415 0.207424i
\(304\) −1.73128e6 260949.i −1.07444 0.161947i
\(305\) 288446. 1.26377e6i 0.177548 0.777888i
\(306\) 230616. + 157231.i 0.140795 + 0.0959921i
\(307\) −1.61662e6 2.80007e6i −0.978953 1.69560i −0.666220 0.745756i \(-0.732089\pi\)
−0.312733 0.949841i \(-0.601245\pi\)
\(308\) 410880. 711664.i 0.246796 0.427463i
\(309\) −311173. + 149853.i −0.185398 + 0.0892832i
\(310\) 96519.4 + 29772.3i 0.0570441 + 0.0175958i
\(311\) 138969. + 1.85441e6i 0.0814735 + 1.08719i 0.876752 + 0.480943i \(0.159706\pi\)
−0.795278 + 0.606245i \(0.792675\pi\)
\(312\) −20234.1 88651.5i −0.0117679 0.0515584i
\(313\) −1.00849e6 + 2.56960e6i −0.581851 + 1.48253i 0.272147 + 0.962256i \(0.412266\pi\)
−0.853998 + 0.520277i \(0.825829\pi\)
\(314\) −3927.58 + 52409.9i −0.00224802 + 0.0299978i
\(315\) −3.38407e6 + 510066.i −1.92160 + 0.289634i
\(316\) 1.73020e6 + 1.60539e6i 0.974716 + 0.904404i
\(317\) 1.03235e6 + 497155.i 0.577006 + 0.277871i 0.699541 0.714593i \(-0.253388\pi\)
−0.122535 + 0.992464i \(0.539102\pi\)
\(318\) 43653.7 29762.6i 0.0242077 0.0165045i
\(319\) 37773.0 + 96244.0i 0.0207828 + 0.0529538i
\(320\) 1.88963e6 582875.i 1.03158 0.318200i
\(321\) 142033. 131787.i 0.0769352 0.0713855i
\(322\) −379428. + 475788.i −0.203934 + 0.255725i
\(323\) −1.94377e6 + 2.43741e6i −1.03667 + 1.29994i
\(324\) 1.22516e6 1.13678e6i 0.648379 0.601608i
\(325\) 855436. 263867.i 0.449241 0.138572i
\(326\) 29748.4 + 75797.7i 0.0155031 + 0.0395014i
\(327\) −88193.4 + 60129.3i −0.0456107 + 0.0310969i
\(328\) −329400. 158631.i −0.169059 0.0814146i
\(329\) −52744.1 48939.4i −0.0268648 0.0249269i
\(330\) −15226.1 + 2294.96i −0.00769668 + 0.00116009i
\(331\) −18052.4 + 240892.i −0.00905659 + 0.120852i −0.999900 0.0141669i \(-0.995490\pi\)
0.990843 + 0.135019i \(0.0431094\pi\)
\(332\) 592200. 1.50890e6i 0.294865 0.751303i
\(333\) −322971. 1.41503e6i −0.159607 0.699286i
\(334\) 18286.0 + 244010.i 0.00896917 + 0.119685i
\(335\) −965499. 297817.i −0.470045 0.144990i
\(336\) 564863. 272024.i 0.272958 0.131449i
\(337\) −370523. + 641765.i −0.177722 + 0.307823i −0.941100 0.338129i \(-0.890206\pi\)
0.763378 + 0.645952i \(0.223539\pi\)
\(338\) −52208.6 90428.0i −0.0248571 0.0430538i
\(339\) −160606. 109499.i −0.0759036 0.0517502i
\(340\) 808279. 3.54130e6i 0.379196 1.66137i
\(341\) 261574. + 39426.0i 0.121817 + 0.0183610i
\(342\) −178335. 223625.i −0.0824462 0.103384i
\(343\) 3.35276e6 1.53875
\(344\) 432740. + 298056.i 0.197165 + 0.135801i
\(345\) −772873. −0.349591
\(346\) −138853. 174116.i −0.0623539 0.0781893i
\(347\) 1.53260e6 + 231002.i 0.683290 + 0.102989i 0.481509 0.876441i \(-0.340089\pi\)
0.201781 + 0.979431i \(0.435327\pi\)
\(348\) −17819.4 + 78072.1i −0.00788762 + 0.0345579i
\(349\) −2.46628e6 1.68148e6i −1.08387 0.738973i −0.116720 0.993165i \(-0.537238\pi\)
−0.967154 + 0.254192i \(0.918191\pi\)
\(350\) −93132.5 161310.i −0.0406379 0.0703869i
\(351\) −501059. + 867860.i −0.217081 + 0.375995i
\(352\) −218419. + 105185.i −0.0939582 + 0.0452479i
\(353\) 522141. + 161059.i 0.223024 + 0.0687938i 0.404253 0.914647i \(-0.367531\pi\)
−0.181229 + 0.983441i \(0.558008\pi\)
\(354\) −4006.53 53463.4i −0.00169926 0.0226751i
\(355\) 1.03366e6 + 4.52877e6i 0.435319 + 1.90726i
\(356\) −232116. + 591421.i −0.0970687 + 0.247327i
\(357\) 83425.4 1.11323e6i 0.0346440 0.462292i
\(358\) 287713. 43365.7i 0.118646 0.0178829i
\(359\) −483887. 448982.i −0.198156 0.183862i 0.574853 0.818257i \(-0.305059\pi\)
−0.773010 + 0.634394i \(0.781250\pi\)
\(360\) 604942. + 291325.i 0.246013 + 0.118473i
\(361\) 593786. 404837.i 0.239807 0.163498i
\(362\) 8896.60 + 22668.2i 0.00356823 + 0.00909170i
\(363\) 407386. 125662.i 0.162270 0.0500538i
\(364\) 3.69760e6 3.43088e6i 1.46274 1.35722i
\(365\) −3.44459e6 + 4.31938e6i −1.35334 + 1.69703i
\(366\) −24188.0 + 30330.8i −0.00943838 + 0.0118354i
\(367\) 265832. 246656.i 0.103025 0.0955932i −0.626979 0.779036i \(-0.715709\pi\)
0.730004 + 0.683443i \(0.239518\pi\)
\(368\) −3.78062e6 + 1.16617e6i −1.45527 + 0.448891i
\(369\) 723077. + 1.84237e6i 0.276451 + 0.704387i
\(370\) 230260. 156989.i 0.0874410 0.0596162i
\(371\) 5.32009e6 + 2.56202e6i 2.00671 + 0.966380i
\(372\) 150193. + 139358.i 0.0562718 + 0.0522126i
\(373\) 2.67200e6 402740.i 0.994408 0.149883i 0.368373 0.929678i \(-0.379915\pi\)
0.626035 + 0.779795i \(0.284677\pi\)
\(374\) −10488.7 + 139962.i −0.00387743 + 0.0517407i
\(375\) −132041. + 336436.i −0.0484878 + 0.123545i
\(376\) 3141.21 + 13762.5i 0.00114585 + 0.00502029i
\(377\) 47426.4 + 632861.i 0.0171857 + 0.229327i
\(378\) 199246. + 61459.3i 0.0717234 + 0.0221237i
\(379\) 1.19336e6 574693.i 0.426751 0.205512i −0.208165 0.978094i \(-0.566749\pi\)
0.634916 + 0.772581i \(0.281035\pi\)
\(380\) −1.86116e6 + 3.22362e6i −0.661187 + 1.14521i
\(381\) −313955. 543786.i −0.110804 0.191918i
\(382\) −430482. 293498.i −0.150937 0.102907i
\(383\) 310283. 1.35944e6i 0.108084 0.473547i −0.891697 0.452632i \(-0.850485\pi\)
0.999781 0.0209148i \(-0.00665787\pi\)
\(384\) −246931. 37218.9i −0.0854571 0.0128806i
\(385\) −1.07298e6 1.34547e6i −0.368925 0.462617i
\(386\) 659487. 0.225288
\(387\) −619792. 2.77616e6i −0.210363 0.942253i
\(388\) 4.15171e6 1.40006
\(389\) −1.68140e6 2.10841e6i −0.563374 0.706449i 0.415803 0.909455i \(-0.363501\pi\)
−0.979178 + 0.203005i \(0.934929\pi\)
\(390\) −93460.8 14087.0i −0.0311149 0.00468981i
\(391\) −1.56762e6 + 6.86817e6i −0.518558 + 2.27195i
\(392\) −1.14530e6 780854.i −0.376448 0.256658i
\(393\) 90135.0 + 156118.i 0.0294383 + 0.0509886i
\(394\) 206141. 357047.i 0.0668997 0.115874i
\(395\) 4.45335e6 2.14462e6i 1.43613 0.691604i
\(396\) 834004. + 257256.i 0.267258 + 0.0824380i
\(397\) −157389. 2.10022e6i −0.0501186 0.668787i −0.964525 0.263990i \(-0.914961\pi\)
0.914407 0.404797i \(-0.132658\pi\)
\(398\) 38896.1 + 170415.i 0.0123083 + 0.0539262i
\(399\) −417950. + 1.06492e6i −0.131429 + 0.334876i
\(400\) 90495.2 1.20758e6i 0.0282798 0.377367i
\(401\) 92426.2 13931.0i 0.0287035 0.00432635i −0.134675 0.990890i \(-0.542999\pi\)
0.163378 + 0.986563i \(0.447761\pi\)
\(402\) 22166.6 + 20567.6i 0.00684124 + 0.00634774i
\(403\) 1.46293e6 + 704511.i 0.448706 + 0.216085i
\(404\) −3.81256e6 + 2.59936e6i −1.16215 + 0.792342i
\(405\) −1.27871e6 3.25809e6i −0.387377 0.987019i
\(406\) 126181. 38921.8i 0.0379910 0.0117187i
\(407\) 535021. 496427.i 0.160098 0.148549i
\(408\) −136559. + 171239.i −0.0406133 + 0.0509275i
\(409\) −1.69270e6 + 2.12258e6i −0.500347 + 0.627416i −0.966308 0.257390i \(-0.917138\pi\)
0.465960 + 0.884806i \(0.345709\pi\)
\(410\) −278575. + 258480.i −0.0818432 + 0.0759394i
\(411\) −107388. + 33124.9i −0.0313583 + 0.00967276i
\(412\) 1.37325e6 + 3.49898e6i 0.398572 + 1.01554i
\(413\) 4.95077e6 3.37537e6i 1.42823 0.973749i
\(414\) −582331. 280436.i −0.166982 0.0804142i
\(415\) −2.48840e6 2.30890e6i −0.709251 0.658089i
\(416\) −1.47145e6 + 221785.i −0.416880 + 0.0628346i
\(417\) −3088.37 + 41211.4i −0.000869739 + 0.0116059i
\(418\) 52547.1 133888.i 0.0147098 0.0374801i
\(419\) 573198. + 2.51134e6i 0.159503 + 0.698829i 0.989913 + 0.141676i \(0.0452491\pi\)
−0.830410 + 0.557153i \(0.811894\pi\)
\(420\) −99608.5 1.32918e6i −0.0275533 0.367673i
\(421\) −3.54312e6 1.09291e6i −0.974274 0.300524i −0.233559 0.972343i \(-0.575037\pi\)
−0.740715 + 0.671819i \(0.765513\pi\)
\(422\) 114571. 55174.5i 0.0313180 0.0150819i
\(423\) 38209.3 66180.4i 0.0103829 0.0179837i
\(424\) −579250. 1.00329e6i −0.156477 0.271027i
\(425\) −1.78158e6 1.21466e6i −0.478446 0.326199i
\(426\) 30935.4 135537.i 0.00825907 0.0361854i
\(427\) −4.28733e6 646211.i −1.13793 0.171516i
\(428\) −1.31474e6 1.64864e6i −0.346922 0.435026i
\(429\) −247531. −0.0649362
\(430\) 452722. 305523.i 0.118076 0.0796843i
\(431\) −4.77644e6 −1.23854 −0.619272 0.785177i \(-0.712572\pi\)
−0.619272 + 0.785177i \(0.712572\pi\)
\(432\) 845191. + 1.05984e6i 0.217894 + 0.273231i
\(433\) −3.92609e6 591764.i −1.00633 0.151680i −0.374862 0.927081i \(-0.622310\pi\)
−0.631470 + 0.775401i \(0.717548\pi\)
\(434\) 75178.4 329378.i 0.0191588 0.0839402i
\(435\) 138562. + 94470.1i 0.0351093 + 0.0239371i
\(436\) 580844. + 1.00605e6i 0.146333 + 0.253457i
\(437\) 3.60962e6 6.25205e6i 0.904187 1.56610i
\(438\) 148969. 71739.6i 0.0371031 0.0178679i
\(439\) 5.92287e6 + 1.82696e6i 1.46680 + 0.452448i 0.922353 0.386347i \(-0.126263\pi\)
0.544447 + 0.838795i \(0.316740\pi\)
\(440\) 25231.5 + 336691.i 0.00621314 + 0.0829086i
\(441\) 1.66978e6 + 7.31577e6i 0.408848 + 1.79128i
\(442\) −314751. + 801972.i −0.0766322 + 0.195256i
\(443\) 86814.0 1.15845e6i 0.0210175 0.280459i −0.976786 0.214217i \(-0.931280\pi\)
0.997804 0.0662419i \(-0.0211009\pi\)
\(444\) 558983. 84253.1i 0.134568 0.0202828i
\(445\) 975341. + 904984.i 0.233484 + 0.216641i
\(446\) −136038. 65512.6i −0.0323835 0.0155951i
\(447\) 31226.9 21290.1i 0.00739197 0.00503976i
\(448\) −2.41648e6 6.15709e6i −0.568838 1.44937i
\(449\) −156117. + 48155.8i −0.0365456 + 0.0112728i −0.312974 0.949762i \(-0.601325\pi\)
0.276428 + 0.961034i \(0.410849\pi\)
\(450\) 145019. 134558.i 0.0337594 0.0313241i
\(451\) −620525. + 778113.i −0.143654 + 0.180136i
\(452\) −1.31900e6 + 1.65397e6i −0.303667 + 0.380787i
\(453\) 353776. 328256.i 0.0809995 0.0751566i
\(454\) 508588. 156879.i 0.115805 0.0357210i
\(455\) −3.85923e6 9.83315e6i −0.873920 2.22671i
\(456\) 185446. 126435.i 0.0417644 0.0284745i
\(457\) −4.72837e6 2.27706e6i −1.05906 0.510017i −0.178495 0.983941i \(-0.557123\pi\)
−0.880566 + 0.473924i \(0.842837\pi\)
\(458\) 138129. + 128165.i 0.0307695 + 0.0285499i
\(459\) 2.38680e6 359753.i 0.528792 0.0797026i
\(460\) −628582. + 8.38785e6i −0.138506 + 1.84823i
\(461\) −1.66981e6 + 4.25460e6i −0.365944 + 0.932410i 0.622745 + 0.782425i \(0.286018\pi\)
−0.988688 + 0.149984i \(0.952078\pi\)
\(462\) 11460.6 + 50212.3i 0.00249806 + 0.0109447i
\(463\) −224931. 3.00150e6i −0.0487638 0.650708i −0.967017 0.254713i \(-0.918019\pi\)
0.918253 0.395994i \(-0.129600\pi\)
\(464\) 820341. + 253042.i 0.176888 + 0.0545629i
\(465\) 386580. 186167.i 0.0829100 0.0399274i
\(466\) −159714. + 276632.i −0.0340704 + 0.0590117i
\(467\) 1.50450e6 + 2.60587e6i 0.319228 + 0.552918i 0.980327 0.197380i \(-0.0632432\pi\)
−0.661100 + 0.750298i \(0.729910\pi\)
\(468\) 4.42640e6 + 3.01787e6i 0.934193 + 0.636922i
\(469\) −752021. + 3.29482e6i −0.157869 + 0.691671i
\(470\) 14509.2 + 2186.90i 0.00302968 + 0.000456651i
\(471\) 139199. + 174550.i 0.0289124 + 0.0362551i
\(472\) −1.17558e6 −0.242884
\(473\) 1.05315e6 967915.i 0.216439 0.198923i
\(474\) −147929. −0.0302418
\(475\) 1.37769e6 + 1.72757e6i 0.280168 + 0.351319i
\(476\) −1.20139e7 1.81080e6i −2.43033 0.366314i
\(477\) −1.39553e6 + 6.11422e6i −0.280830 + 1.23040i
\(478\) 647198. + 441252.i 0.129559 + 0.0883317i
\(479\) −1.10206e6 1.90882e6i −0.219466 0.380126i 0.735179 0.677873i \(-0.237098\pi\)
−0.954645 + 0.297747i \(0.903765\pi\)
\(480\) −196611. + 340540.i −0.0389497 + 0.0674629i
\(481\) 4.03633e6 1.94380e6i 0.795471 0.383079i
\(482\) 420047. + 129567.i 0.0823531 + 0.0254026i
\(483\) 193186. + 2.57788e6i 0.0376796 + 0.502800i
\(484\) −1.03246e6 4.52349e6i −0.200336 0.877728i
\(485\) 3.17644e6 8.09345e6i 0.613179 1.56235i
\(486\) −24969.5 + 333195.i −0.00479534 + 0.0639894i
\(487\) −3.07892e6 + 464072.i −0.588269 + 0.0886672i −0.436430 0.899738i \(-0.643757\pi\)
−0.151838 + 0.988405i \(0.548519\pi\)
\(488\) 623572. + 578590.i 0.118532 + 0.109982i
\(489\) 311640. + 150078.i 0.0589361 + 0.0283821i
\(490\) −1.19046e6 + 811641.i −0.223988 + 0.152712i
\(491\) −2.69785e6 6.87402e6i −0.505027 1.28679i −0.925247 0.379366i \(-0.876142\pi\)
0.420220 0.907422i \(-0.361953\pi\)
\(492\) −736604. + 227212.i −0.137190 + 0.0423174i
\(493\) 1.12056e6 1.03973e6i 0.207643 0.192665i
\(494\) 550454. 690247.i 0.101485 0.127259i
\(495\) 1.13959e6 1.42900e6i 0.209043 0.262132i
\(496\) 1.61011e6 1.49396e6i 0.293867 0.272669i
\(497\) 1.48471e7 4.57973e6i 2.69619 0.831666i
\(498\) 37116.0 + 94570.0i 0.00670637 + 0.0170876i
\(499\) 4.00959e6 2.73370e6i 0.720857 0.491472i −0.146467 0.989216i \(-0.546790\pi\)
0.867324 + 0.497744i \(0.165838\pi\)
\(500\) 3.54389e6 + 1.70665e6i 0.633951 + 0.305295i
\(501\) 761968. + 707003.i 0.135626 + 0.125842i
\(502\) 301070. 45379.0i 0.0533222 0.00803702i
\(503\) −187657. + 2.50411e6i −0.0330708 + 0.441299i 0.955951 + 0.293527i \(0.0948291\pi\)
−0.989022 + 0.147772i \(0.952790\pi\)
\(504\) 820490. 2.09057e6i 0.143879 0.366597i
\(505\) 2.15029e6 + 9.42105e6i 0.375206 + 1.64388i
\(506\) −24288.4 324106.i −0.00421719 0.0562744i
\(507\) −423853. 130741.i −0.0732310 0.0225888i
\(508\) −6.15695e6 + 2.96503e6i −1.05854 + 0.509765i
\(509\) −3.35995e6 + 5.81961e6i −0.574829 + 0.995633i 0.421231 + 0.906953i \(0.361598\pi\)
−0.996060 + 0.0886798i \(0.971735\pi\)
\(510\) 113829. + 197158.i 0.0193789 + 0.0335652i
\(511\) 1.52681e7 + 1.04096e7i 2.58662 + 1.76353i
\(512\) −750200. + 3.28684e6i −0.126474 + 0.554120i
\(513\) −2.44591e6 368661.i −0.410342 0.0618492i
\(514\) 743876. + 932791.i 0.124192 + 0.155732i
\(515\) 7.87167e6 1.30782
\(516\) 1.09627e6 159918.i 0.181257 0.0264408i
\(517\) 38427.5 0.00632290
\(518\) −581185. 728782.i −0.0951677 0.119337i
\(519\) −935460. 140998.i −0.152443 0.0229770i
\(520\) −461168. + 2.02051e6i −0.0747913 + 0.327682i
\(521\) −7.29116e6 4.97103e6i −1.17680 0.802328i −0.192930 0.981213i \(-0.561799\pi\)
−0.983870 + 0.178884i \(0.942751\pi\)
\(522\) 70123.1 + 121457.i 0.0112638 + 0.0195095i
\(523\) −5.06408e6 + 8.77124e6i −0.809554 + 1.40219i 0.103618 + 0.994617i \(0.466958\pi\)
−0.913173 + 0.407572i \(0.866375\pi\)
\(524\) 1.76763e6 851247.i 0.281231 0.135434i
\(525\) −756090. 233223.i −0.119722 0.0369295i
\(526\) −85084.6 1.13537e6i −0.0134087 0.178927i
\(527\) −870284. 3.81297e6i −0.136501 0.598048i
\(528\) −122331. + 311693.i −0.0190963 + 0.0486567i
\(529\) 738115. 9.84946e6i 0.114679 1.53029i
\(530\) −1.19073e6 + 179473.i −0.184129 + 0.0277530i
\(531\) 4.66510e6 + 4.32858e6i 0.718001 + 0.666207i
\(532\) 1.12175e7 + 5.40204e6i 1.71836 + 0.827520i
\(533\) −5.04750e6 + 3.44133e6i −0.769588 + 0.524697i
\(534\) −14547.8 37067.2i −0.00220772 0.00562518i
\(535\) −4.21980e6 + 1.30163e6i −0.637393 + 0.196610i
\(536\) 486049. 450988.i 0.0730749 0.0678036i
\(537\) 770628. 966337.i 0.115321 0.144608i
\(538\) −698200. + 875515.i −0.103998 + 0.130409i
\(539\) −2.76609e6 + 2.56655e6i −0.410104 + 0.380521i
\(540\) 2.75395e6 849482.i 0.406417 0.125363i
\(541\) −1.76447e6 4.49579e6i −0.259191 0.660409i 0.740744 0.671787i \(-0.234473\pi\)
−0.999935 + 0.0113788i \(0.996378\pi\)
\(542\) −657749. + 448446.i −0.0961749 + 0.0655710i
\(543\) 93199.6 + 44882.6i 0.0135648 + 0.00653248i
\(544\) 2.62744e6 + 2.43791e6i 0.380659 + 0.353200i
\(545\) 2.40562e6 362589.i 0.346925 0.0522906i
\(546\) −23625.1 + 315256.i −0.00339151 + 0.0452565i
\(547\) 1.80277e6 4.59338e6i 0.257615 0.656393i −0.742291 0.670078i \(-0.766261\pi\)
0.999906 + 0.0136845i \(0.00435606\pi\)
\(548\) 272159. + 1.19241e6i 0.0387143 + 0.169619i
\(549\) −344128. 4.59207e6i −0.0487292 0.650246i
\(550\) 95060.1 + 29322.1i 0.0133996 + 0.00413322i
\(551\) −1.41134e6 + 679667.i −0.198040 + 0.0953712i
\(552\) 253592. 439235.i 0.0354232 0.0613548i
\(553\) −8.26643e6 1.43179e7i −1.14949 1.99097i
\(554\) 694983. + 473831.i 0.0962054 + 0.0655917i
\(555\) 263429. 1.15416e6i 0.0363020 0.159050i
\(556\) 444749. + 67035.1i 0.0610137 + 0.00919634i
\(557\) −7.60235e6 9.53305e6i −1.03827 1.30195i −0.952139 0.305664i \(-0.901122\pi\)
−0.0861296 0.996284i \(-0.527450\pi\)
\(558\) 358824. 0.0487861
\(559\) 7.92845e6 3.77188e6i 1.07315 0.510539i
\(560\) −1.42892e7 −1.92548
\(561\) 371736. + 466143.i 0.0498687 + 0.0625334i
\(562\) 365318. + 55062.8i 0.0487899 + 0.00735390i
\(563\) −2.38916e6 + 1.04676e7i −0.317668 + 1.39180i 0.523962 + 0.851742i \(0.324453\pi\)
−0.841630 + 0.540054i \(0.818404\pi\)
\(564\) 24591.7 + 16766.3i 0.00325530 + 0.00221942i
\(565\) 2.21514e6 + 3.83673e6i 0.291931 + 0.505639i
\(566\) 439079. 760507.i 0.0576105 0.0997843i
\(567\) −1.05476e7 + 5.07945e6i −1.37783 + 0.663528i
\(568\) −2.91292e6 898518.i −0.378842 0.116857i
\(569\) 418127. + 5.57952e6i 0.0541412 + 0.722464i 0.956547 + 0.291577i \(0.0941801\pi\)
−0.902406 + 0.430887i \(0.858201\pi\)
\(570\) −51913.1 227446.i −0.00669253 0.0293219i
\(571\) 5.05373e6 1.28767e7i 0.648667 1.65278i −0.104163 0.994560i \(-0.533216\pi\)
0.752830 0.658215i \(-0.228688\pi\)
\(572\) −201319. + 2.68641e6i −0.0257273 + 0.343307i
\(573\) −2.18852e6 + 329866.i −0.278461 + 0.0419712i
\(574\) 931779. + 864565.i 0.118041 + 0.109526i
\(575\) 4.49869e6 + 2.16645e6i 0.567435 + 0.273262i
\(576\) 5.80430e6 3.95731e6i 0.728944 0.496985i
\(577\) −1.44380e6 3.67874e6i −0.180537 0.460002i 0.811743 0.584014i \(-0.198519\pi\)
−0.992281 + 0.124013i \(0.960424\pi\)
\(578\) 1.05747e6 326186.i 0.131658 0.0406111i
\(579\) 2.05362e6 1.90548e6i 0.254579 0.236215i
\(580\) 1.13796e6 1.42696e6i 0.140462 0.176133i
\(581\) −7.07923e6 + 8.87707e6i −0.870053 + 1.09101i
\(582\) −190746. + 176986.i −0.0233425 + 0.0216587i
\(583\) −3.01353e6 + 929552.i −0.367202 + 0.113267i
\(584\) −1.32454e6 3.37487e6i −0.160706 0.409473i
\(585\) 9.26973e6 6.31999e6i 1.11989 0.763531i
\(586\) 397636. + 191491.i 0.0478345 + 0.0230359i
\(587\) 2.28506e6 + 2.12022e6i 0.273717 + 0.253972i 0.805072 0.593177i \(-0.202127\pi\)
−0.531355 + 0.847149i \(0.678317\pi\)
\(588\) −2.88997e6 + 435593.i −0.344707 + 0.0519562i
\(589\) −299508. + 3.99666e6i −0.0355730 + 0.474689i
\(590\) −446422. + 1.13747e6i −0.0527978 + 0.134527i
\(591\) −389712. 1.70744e6i −0.0458961 0.201084i
\(592\) −452876. 6.04321e6i −0.0531098 0.708702i
\(593\) 5.10334e6 + 1.57417e6i 0.595961 + 0.183830i 0.578038 0.816010i \(-0.303819\pi\)
0.0179227 + 0.999839i \(0.494295\pi\)
\(594\) −100332. + 48317.3i −0.0116674 + 0.00561871i
\(595\) −1.27218e7 + 2.20347e7i −1.47318 + 2.55162i
\(596\) −205661. 356215.i −0.0237157 0.0410768i
\(597\) 613507. + 418282.i 0.0704504 + 0.0480323i
\(598\) 443931. 1.94499e6i 0.0507648 0.222415i
\(599\) −1.15551e7 1.74166e6i −1.31585 0.198333i −0.546664 0.837352i \(-0.684102\pi\)
−0.769191 + 0.639019i \(0.779340\pi\)
\(600\) 96789.0 + 121370.i 0.0109761 + 0.0137636i
\(601\) 4.40879e6 0.497889 0.248945 0.968518i \(-0.419916\pi\)
0.248945 + 0.968518i \(0.419916\pi\)
\(602\) −1.13222e6 1.43367e6i −0.127333 0.161234i
\(603\) −3.58937e6 −0.401999
\(604\) −3.27477e6 4.10644e6i −0.365249 0.458008i
\(605\) −9.60813e6 1.44819e6i −1.06721 0.160856i
\(606\) 64353.9 281953.i 0.00711858 0.0311885i
\(607\) 2.19031e6 + 1.49333e6i 0.241287 + 0.164507i 0.677926 0.735130i \(-0.262879\pi\)
−0.436639 + 0.899637i \(0.643831\pi\)
\(608\) −1.83650e6 3.18091e6i −0.201480 0.348974i
\(609\) 280466. 485781.i 0.0306434 0.0530759i
\(610\) 796628. 383636.i 0.0866824 0.0417440i
\(611\) 225397. + 69525.7i 0.0244256 + 0.00753429i
\(612\) −964310. 1.28678e7i −0.104073 1.38876i
\(613\) 2.48334e6 + 1.08802e7i 0.266923 + 1.16946i 0.913572 + 0.406677i \(0.133313\pi\)
−0.646649 + 0.762787i \(0.723830\pi\)
\(614\) 805727. 2.05296e6i 0.0862516 0.219765i
\(615\) −120637. + 1.60979e6i −0.0128616 + 0.171626i
\(616\) 1.11671e6 168317.i 0.118574 0.0178721i
\(617\) −2.16892e6 2.01247e6i −0.229367 0.212822i 0.557114 0.830436i \(-0.311909\pi\)
−0.786481 + 0.617615i \(0.788099\pi\)
\(618\) −212253. 102216.i −0.0223554 0.0107658i
\(619\) 4.12657e6 2.81345e6i 0.432875 0.295129i −0.327212 0.944951i \(-0.606109\pi\)
0.760086 + 0.649822i \(0.225157\pi\)
\(620\) −1.70603e6 4.34689e6i −0.178241 0.454151i
\(621\) −5.34115e6 + 1.64753e6i −0.555784 + 0.171437i
\(622\) −929840. + 862765.i −0.0963679 + 0.0894163i
\(623\) 2.77474e6 3.47941e6i 0.286419 0.359158i
\(624\) −1.28147e6 + 1.60691e6i −0.131749 + 0.165207i
\(625\) 8.87036e6 8.23049e6i 0.908325 0.842802i
\(626\) −1.79924e6 + 554993.i −0.183508 + 0.0566046i
\(627\) −223217. 568748.i −0.0226756 0.0577764i
\(628\) 2.00758e6 1.36874e6i 0.203129 0.138491i
\(629\) −9.72216e6 4.68195e6i −0.979797 0.471845i
\(630\) −1.71121e6 1.58777e6i −0.171772 0.159381i
\(631\) 7.31616e6 1.10273e6i 0.731493 0.110255i 0.227274 0.973831i \(-0.427019\pi\)
0.504219 + 0.863576i \(0.331781\pi\)
\(632\) −242399. + 3.23459e6i −0.0241400 + 0.322126i
\(633\) 197352. 502845.i 0.0195764 0.0498798i
\(634\) 173917. + 761979.i 0.0171838 + 0.0752870i
\(635\) 1.06947e6 + 1.42710e7i 0.105253 + 1.40450i
\(636\) −2.33408e6 719969.i −0.228809 0.0705783i
\(637\) −2.08681e7 + 1.00495e7i −2.03767 + 0.981290i
\(638\) −35261.8 + 61075.3i −0.00342968 + 0.00594037i
\(639\) 8.25103e6 + 1.42912e7i 0.799385 + 1.38458i
\(640\) 4.70256e6 + 3.20615e6i 0.453821 + 0.309410i
\(641\) 4.49053e6 1.96743e7i 0.431670 1.89127i −0.0213514 0.999772i \(-0.506797\pi\)
0.453022 0.891499i \(-0.350346\pi\)
\(642\) 130685. + 19697.6i 0.0125138 + 0.00188615i
\(643\) −2.67559e6 3.35508e6i −0.255206 0.320019i 0.637679 0.770302i \(-0.279894\pi\)
−0.892886 + 0.450283i \(0.851323\pi\)
\(644\) 2.81344e7 2.67315
\(645\) 527001. 2.25945e6i 0.0498784 0.213847i
\(646\) −2.12651e6 −0.200487
\(647\) 6.88150e6 + 8.62913e6i 0.646283 + 0.810413i 0.991773 0.128009i \(-0.0408588\pi\)
−0.345490 + 0.938422i \(0.612287\pi\)
\(648\) 2.27118e6 + 342326.i 0.212478 + 0.0320260i
\(649\) −712100. + 3.11991e6i −0.0663635 + 0.290757i
\(650\) 504523. + 343978.i 0.0468379 + 0.0319336i
\(651\) −717580. 1.24289e6i −0.0663618 0.114942i
\(652\) 1.88223e6 3.26012e6i 0.173402 0.300341i
\(653\) 1.12283e7 5.40724e6i 1.03046 0.496241i 0.159291 0.987232i \(-0.449079\pi\)
0.871165 + 0.490990i \(0.163365\pi\)
\(654\) −69573.9 21460.7i −0.00636065 0.00196200i
\(655\) −307039. 4.09715e6i −0.0279634 0.373146i
\(656\) 1.83886e6 + 8.05657e6i 0.166836 + 0.730954i
\(657\) −7.17031e6 + 1.82697e7i −0.648074 + 1.65127i
\(658\) 3667.64 48941.2i 0.000330234 0.00440667i
\(659\) 1.29159e7 1.94675e6i 1.15854 0.174621i 0.458478 0.888706i \(-0.348395\pi\)
0.700060 + 0.714084i \(0.253157\pi\)
\(660\) 521841. + 484198.i 0.0466314 + 0.0432676i
\(661\) −1.70969e7 8.23345e6i −1.52200 0.732956i −0.528731 0.848790i \(-0.677332\pi\)
−0.993269 + 0.115833i \(0.963046\pi\)
\(662\) −136143. + 92821.0i −0.0120740 + 0.00823192i
\(663\) 1.33704e6 + 3.40673e6i 0.118130 + 0.300991i
\(664\) 2.12866e6 656606.i 0.187364 0.0577943i
\(665\) 1.91133e7 1.77345e7i 1.67603 1.55513i
\(666\) 617268. 774030.i 0.0539248 0.0676195i
\(667\) −2.20702e6 + 2.76751e6i −0.192084 + 0.240866i
\(668\) 8.29269e6 7.69449e6i 0.719042 0.667173i
\(669\) −612906. + 189057.i −0.0529455 + 0.0163315i
\(670\) −251790. 641550.i −0.0216696 0.0552133i
\(671\) 1.91326e6 1.30444e6i 0.164047 0.111845i
\(672\) 1.18500e6 + 570666.i 0.101227 + 0.0487482i
\(673\) 1.51691e7 + 1.40749e7i 1.29099 + 1.19786i 0.967854 + 0.251513i \(0.0809280\pi\)
0.323137 + 0.946352i \(0.395262\pi\)
\(674\) −499826. + 75336.7i −0.0423808 + 0.00638788i
\(675\) 127849. 1.70603e6i 0.0108004 0.144121i
\(676\) −1.76363e6 + 4.49366e6i −0.148437 + 0.378211i
\(677\) 4.99830e6 + 2.18990e7i 0.419132 + 1.83634i 0.537366 + 0.843349i \(0.319420\pi\)
−0.118234 + 0.992986i \(0.537723\pi\)
\(678\) −9908.40 132218.i −0.000827807 0.0110463i
\(679\) −2.77893e7 8.57187e6i −2.31315 0.713511i
\(680\) 4.49753e6 2.16590e6i 0.372994 0.179624i
\(681\) 1.13045e6 1.95800e6i 0.0934078 0.161787i
\(682\) 90218.4 + 156263.i 0.00742735 + 0.0128646i
\(683\) −1.28884e7 8.78714e6i −1.05717 0.720769i −0.0956287 0.995417i \(-0.530486\pi\)
−0.961545 + 0.274648i \(0.911439\pi\)
\(684\) −2.94249e6 + 1.28919e7i −0.240478 + 1.05360i
\(685\) 2.53274e6 + 381749.i 0.206236 + 0.0310850i
\(686\) 1.42588e6 + 1.78800e6i 0.115684 + 0.145063i
\(687\) 800438. 0.0647047
\(688\) −831325. 1.18476e7i −0.0669575 0.954246i
\(689\) −1.93577e7 −1.55348
\(690\) −328692. 412167.i −0.0262825 0.0329572i
\(691\) 645503. + 97293.9i 0.0514284 + 0.00775159i 0.174706 0.984621i \(-0.444102\pi\)
−0.123278 + 0.992372i \(0.539341\pi\)
\(692\) −2.29104e6 + 1.00377e7i −0.181873 + 0.796836i
\(693\) −5.05123e6 3.44387e6i −0.399543 0.272404i
\(694\) 528602. + 915566.i 0.0416610 + 0.0721590i
\(695\) 470954. 815716.i 0.0369842 0.0640585i
\(696\) −99153.2 + 47749.7i −0.00775861 + 0.00373635i
\(697\) 1.40608e7 + 4.33719e6i 1.09630 + 0.338163i
\(698\) −152154. 2.03036e6i −0.0118208 0.157737i
\(699\) 301941. + 1.32289e6i 0.0233738 + 0.102407i
\(700\) −3.14606e6 + 8.01603e6i −0.242673 + 0.618321i
\(701\) −1.23585e6 + 1.64913e7i −0.0949886 + 1.26754i 0.722411 + 0.691464i \(0.243034\pi\)
−0.817400 + 0.576071i \(0.804585\pi\)
\(702\) −675916. + 101878.i −0.0517666 + 0.00780257i
\(703\) 8.10608e6 + 7.52134e6i 0.618618 + 0.573993i
\(704\) 3.18271e6 + 1.53271e6i 0.242028 + 0.116555i
\(705\) 51499.6 35111.9i 0.00390240 0.00266061i
\(706\) 136168. + 346950.i 0.0102816 + 0.0261972i
\(707\) 3.08860e7 9.52707e6i 2.32388 0.716821i
\(708\) −1.81696e6 + 1.68589e6i −0.136227 + 0.126400i
\(709\) −1.60430e7 + 2.01172e7i −1.19859 + 1.50298i −0.383599 + 0.923500i \(0.625315\pi\)
−0.814987 + 0.579479i \(0.803256\pi\)
\(710\) −1.97555e6 + 2.47726e6i −0.147076 + 0.184428i
\(711\) 1.28719e7 1.19434e7i 0.954923 0.886039i
\(712\) −834341. + 257360.i −0.0616799 + 0.0190257i
\(713\) 3.30876e6 + 8.43058e6i 0.243748 + 0.621060i
\(714\) 629159. 428953.i 0.0461864 0.0314894i
\(715\) 5.08293e6 + 2.44781e6i 0.371834 + 0.179066i
\(716\) −9.86073e6 9.14942e6i −0.718830 0.666977i
\(717\) 3.29027e6 495929.i 0.239020 0.0360265i
\(718\) 33647.8 448999.i 0.00243582 0.0325038i
\(719\) −2.87894e6 + 7.33543e6i −0.207688 + 0.529180i −0.996323 0.0856822i \(-0.972693\pi\)
0.788635 + 0.614862i \(0.210788\pi\)
\(720\) −3.37706e6 1.47959e7i −0.242777 1.06368i
\(721\) −1.96759e6 2.62556e7i −0.140960 1.88098i
\(722\) 468425. + 144490.i 0.0334424 + 0.0103156i
\(723\) 1.68237e6 810188.i 0.119695 0.0576421i
\(724\) 562903. 974976.i 0.0399105 0.0691269i
\(725\) −541723. 938291.i −0.0382765 0.0662968i
\(726\) 240270. + 163813.i 0.0169183 + 0.0115347i
\(727\) 5.33959e6 2.33943e7i 0.374690 1.64162i −0.338728 0.940884i \(-0.609997\pi\)
0.713418 0.700739i \(-0.247146\pi\)
\(728\) 6.85459e6 + 1.03316e6i 0.479350 + 0.0722505i
\(729\) −7.14481e6 8.95931e6i −0.497934 0.624390i
\(730\) −3.76843e6 −0.261730
\(731\) −1.90098e7 9.26607e6i −1.31579 0.641360i
\(732\) 1.79353e6 0.123717
\(733\) 2.20959e6 + 2.77073e6i 0.151898 + 0.190474i 0.851958 0.523610i \(-0.175415\pi\)
−0.700060 + 0.714084i \(0.746844\pi\)
\(734\) 244595. + 36866.7i 0.0167574 + 0.00252577i
\(735\) −1.36194e6 + 5.96705e6i −0.0929908 + 0.407419i
\(736\) −6.85773e6 4.67552e6i −0.466644 0.318153i
\(737\) −902469. 1.56312e6i −0.0612017 0.106004i
\(738\) −675007. + 1.16915e6i −0.0456213 + 0.0790183i
\(739\) −2.60350e6 + 1.25378e6i −0.175366 + 0.0844519i −0.519507 0.854466i \(-0.673884\pi\)
0.344141 + 0.938918i \(0.388170\pi\)
\(740\) −1.23116e7 3.79763e6i −0.826486 0.254937i
\(741\) −280263. 3.73985e6i −0.0187508 0.250212i
\(742\) 896255. + 3.92675e6i 0.0597616 + 0.261833i
\(743\) 1.88513e6 4.80322e6i 0.125276 0.319198i −0.854452 0.519530i \(-0.826107\pi\)
0.979728 + 0.200332i \(0.0642021\pi\)
\(744\) −21041.8 + 280783.i −0.00139364 + 0.0185968i
\(745\) −851765. + 128383.i −0.0562250 + 0.00847455i
\(746\) 1.35114e6 + 1.25368e6i 0.0888903 + 0.0824781i
\(747\) −1.08649e7 5.23226e6i −0.712401 0.343074i
\(748\) 5.36130e6 3.65527e6i 0.350361 0.238872i
\(749\) 5.39631e6 + 1.37496e7i 0.351474 + 0.895540i
\(750\) −235574. + 72665.0i −0.0152924 + 0.00471707i
\(751\) 9.54347e6 8.85504e6i 0.617456 0.572916i −0.308181 0.951328i \(-0.599720\pi\)
0.925637 + 0.378412i \(0.123530\pi\)
\(752\) 198939. 249461.i 0.0128285 0.0160864i
\(753\) 806405. 1.01120e6i 0.0518281 0.0649904i
\(754\) −317330. + 294439.i −0.0203274 +