Properties

Label 43.5.h.a.3.7
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 3.7
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.410655 + 0.852734i) q^{2} +(-16.8171 - 1.26027i) q^{3} +(9.41732 + 11.8089i) q^{4} +(6.39035 - 20.7170i) q^{5} +(7.98071 - 13.8230i) q^{6} +(31.1693 - 17.9956i) q^{7} +(-28.7009 + 6.55080i) q^{8} +(201.132 + 30.3157i) q^{9} +O(q^{10})\) \(q+(-0.410655 + 0.852734i) q^{2} +(-16.8171 - 1.26027i) q^{3} +(9.41732 + 11.8089i) q^{4} +(6.39035 - 20.7170i) q^{5} +(7.98071 - 13.8230i) q^{6} +(31.1693 - 17.9956i) q^{7} +(-28.7009 + 6.55080i) q^{8} +(201.132 + 30.3157i) q^{9} +(15.0419 + 13.9568i) q^{10} +(139.158 - 174.499i) q^{11} +(-143.490 - 210.461i) q^{12} +(-60.7979 + 56.4122i) q^{13} +(2.54564 + 33.9692i) q^{14} +(-133.576 + 340.347i) q^{15} +(-47.5759 + 208.444i) q^{16} +(67.3331 - 20.7695i) q^{17} +(-108.447 + 159.063i) q^{18} +(-62.0839 - 411.900i) q^{19} +(304.826 - 119.635i) q^{20} +(-546.858 + 263.353i) q^{21} +(91.6552 + 190.324i) q^{22} +(-57.4962 - 146.498i) q^{23} +(490.922 - 73.9946i) q^{24} +(128.041 + 87.2968i) q^{25} +(-23.1377 - 75.0104i) q^{26} +(-2012.49 - 459.338i) q^{27} +(506.041 + 198.606i) q^{28} +(1208.40 - 90.5570i) q^{29} +(-235.372 - 253.670i) q^{30} +(571.502 - 389.643i) q^{31} +(-526.471 - 419.847i) q^{32} +(-2560.16 + 2759.19i) q^{33} +(-9.93982 + 65.9464i) q^{34} +(-173.633 - 760.734i) q^{35} +(1536.13 + 2660.65i) q^{36} +(-664.909 - 383.885i) q^{37} +(376.736 + 116.208i) q^{38} +(1093.54 - 872.069i) q^{39} +(-47.6960 + 636.459i) q^{40} +(-1315.85 - 633.682i) q^{41} -574.472i q^{42} +(472.256 - 1787.67i) q^{43} +3371.15 q^{44} +(1913.36 - 3973.12i) q^{45} +(148.535 + 11.1312i) q^{46} +(1228.47 + 1540.45i) q^{47} +(1062.79 - 3445.47i) q^{48} +(-552.815 + 957.503i) q^{49} +(-127.022 + 73.3360i) q^{50} +(-1158.52 + 264.426i) q^{51} +(-1238.72 - 186.707i) q^{52} +(2803.11 + 2600.91i) q^{53} +(1218.13 - 1527.49i) q^{54} +(-2725.83 - 3998.05i) q^{55} +(-776.703 + 720.675i) q^{56} +(524.968 + 7005.21i) q^{57} +(-419.014 + 1067.63i) q^{58} +(269.788 - 1182.02i) q^{59} +(-5277.07 + 1627.76i) q^{60} +(-1136.39 + 1666.78i) q^{61} +(97.5720 + 647.348i) q^{62} +(6814.70 - 2674.57i) q^{63} +(-2507.88 + 1207.73i) q^{64} +(780.173 + 1620.05i) q^{65} +(-1301.52 - 3316.21i) q^{66} +(-7963.60 + 1200.32i) q^{67} +(879.364 + 599.540i) q^{68} +(782.294 + 2536.13i) q^{69} +(720.008 + 164.337i) q^{70} +(-3940.91 - 1546.69i) q^{71} +(-5971.26 + 447.484i) q^{72} +(876.743 + 944.905i) q^{73} +(600.401 - 409.346i) q^{74} +(-2043.26 - 1629.45i) q^{75} +(4279.44 - 4612.14i) q^{76} +(1197.25 - 7943.26i) q^{77} +(294.575 + 1290.62i) q^{78} +(4219.55 + 7308.48i) q^{79} +(4014.31 + 2317.66i) q^{80} +(17521.7 + 5404.73i) q^{81} +(1080.73 - 861.850i) q^{82} +(121.727 - 1624.34i) q^{83} +(-8259.85 - 3977.74i) q^{84} -1527.67i q^{85} +(1330.48 + 1136.83i) q^{86} -20435.9 q^{87} +(-2850.86 + 5919.88i) q^{88} +(-4170.55 - 312.539i) q^{89} +(2602.29 + 3263.17i) q^{90} +(-879.857 + 2852.43i) q^{91} +(1188.53 - 2058.59i) q^{92} +(-10102.1 + 5832.43i) q^{93} +(-1818.07 + 414.962i) q^{94} +(-8930.08 - 1345.99i) q^{95} +(8324.61 + 7724.11i) q^{96} +(577.963 - 724.743i) q^{97} +(-589.480 - 864.608i) q^{98} +(33279.2 - 30878.6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.410655 + 0.852734i −0.102664 + 0.213184i −0.945973 0.324245i \(-0.894890\pi\)
0.843309 + 0.537428i \(0.180604\pi\)
\(3\) −16.8171 1.26027i −1.86857 0.140030i −0.908160 0.418624i \(-0.862512\pi\)
−0.960409 + 0.278594i \(0.910131\pi\)
\(4\) 9.41732 + 11.8089i 0.588582 + 0.738059i
\(5\) 6.39035 20.7170i 0.255614 0.828681i −0.733263 0.679945i \(-0.762003\pi\)
0.988877 0.148736i \(-0.0475203\pi\)
\(6\) 7.98071 13.8230i 0.221686 0.383972i
\(7\) 31.1693 17.9956i 0.636109 0.367258i −0.147005 0.989136i \(-0.546963\pi\)
0.783114 + 0.621878i \(0.213630\pi\)
\(8\) −28.7009 + 6.55080i −0.448452 + 0.102356i
\(9\) 201.132 + 30.3157i 2.48311 + 0.374268i
\(10\) 15.0419 + 13.9568i 0.150419 + 0.139568i
\(11\) 139.158 174.499i 1.15007 1.44214i 0.272845 0.962058i \(-0.412036\pi\)
0.877224 0.480082i \(-0.159393\pi\)
\(12\) −143.490 210.461i −0.996456 1.46153i
\(13\) −60.7979 + 56.4122i −0.359751 + 0.333800i −0.839253 0.543740i \(-0.817008\pi\)
0.479503 + 0.877540i \(0.340817\pi\)
\(14\) 2.54564 + 33.9692i 0.0129879 + 0.173312i
\(15\) −133.576 + 340.347i −0.593673 + 1.51265i
\(16\) −47.5759 + 208.444i −0.185844 + 0.814234i
\(17\) 67.3331 20.7695i 0.232987 0.0718669i −0.176063 0.984379i \(-0.556336\pi\)
0.409050 + 0.912512i \(0.365860\pi\)
\(18\) −108.447 + 159.063i −0.334713 + 0.490934i
\(19\) −62.0839 411.900i −0.171978 1.14100i −0.893651 0.448763i \(-0.851865\pi\)
0.721673 0.692234i \(-0.243373\pi\)
\(20\) 304.826 119.635i 0.762065 0.299089i
\(21\) −546.858 + 263.353i −1.24004 + 0.597172i
\(22\) 91.6552 + 190.324i 0.189370 + 0.393231i
\(23\) −57.4962 146.498i −0.108688 0.276934i 0.866173 0.499743i \(-0.166572\pi\)
−0.974862 + 0.222810i \(0.928477\pi\)
\(24\) 490.922 73.9946i 0.852296 0.128463i
\(25\) 128.041 + 87.2968i 0.204865 + 0.139675i
\(26\) −23.1377 75.0104i −0.0342273 0.110962i
\(27\) −2012.49 459.338i −2.76062 0.630094i
\(28\) 506.041 + 198.606i 0.645460 + 0.253325i
\(29\) 1208.40 90.5570i 1.43686 0.107678i 0.666604 0.745412i \(-0.267747\pi\)
0.770256 + 0.637735i \(0.220128\pi\)
\(30\) −235.372 253.670i −0.261524 0.281856i
\(31\) 571.502 389.643i 0.594695 0.405456i −0.228229 0.973607i \(-0.573294\pi\)
0.822924 + 0.568151i \(0.192341\pi\)
\(32\) −526.471 419.847i −0.514132 0.410007i
\(33\) −2560.16 + 2759.19i −2.35092 + 2.53369i
\(34\) −9.93982 + 65.9464i −0.00859846 + 0.0570471i
\(35\) −173.633 760.734i −0.141741 0.621008i
\(36\) 1536.13 + 2660.65i 1.18528 + 2.05297i
\(37\) −664.909 383.885i −0.485690 0.280413i 0.237095 0.971486i \(-0.423805\pi\)
−0.722784 + 0.691073i \(0.757138\pi\)
\(38\) 376.736 + 116.208i 0.260898 + 0.0804763i
\(39\) 1093.54 872.069i 0.718961 0.573352i
\(40\) −47.6960 + 636.459i −0.0298100 + 0.397787i
\(41\) −1315.85 633.682i −0.782781 0.376967i −0.000584978 1.00000i \(-0.500186\pi\)
−0.782196 + 0.623032i \(0.785900\pi\)
\(42\) 574.472i 0.325664i
\(43\) 472.256 1787.67i 0.255412 0.966832i
\(44\) 3371.15 1.74129
\(45\) 1913.36 3973.12i 0.944867 1.96204i
\(46\) 148.535 + 11.1312i 0.0701961 + 0.00526047i
\(47\) 1228.47 + 1540.45i 0.556118 + 0.697350i 0.977835 0.209377i \(-0.0671437\pi\)
−0.421716 + 0.906728i \(0.638572\pi\)
\(48\) 1062.79 3445.47i 0.461278 1.49543i
\(49\) −552.815 + 957.503i −0.230244 + 0.398793i
\(50\) −127.022 + 73.3360i −0.0508087 + 0.0293344i
\(51\) −1158.52 + 264.426i −0.445415 + 0.101663i
\(52\) −1238.72 186.707i −0.458107 0.0690485i
\(53\) 2803.11 + 2600.91i 0.997904 + 0.925919i 0.997252 0.0740805i \(-0.0236022\pi\)
0.000651420 1.00000i \(0.499793\pi\)
\(54\) 1218.13 1527.49i 0.417742 0.523831i
\(55\) −2725.83 3998.05i −0.901100 1.32167i
\(56\) −776.703 + 720.675i −0.247673 + 0.229807i
\(57\) 524.968 + 7005.21i 0.161578 + 2.15611i
\(58\) −419.014 + 1067.63i −0.124558 + 0.317370i
\(59\) 269.788 1182.02i 0.0775029 0.339562i −0.921279 0.388902i \(-0.872855\pi\)
0.998782 + 0.0493396i \(0.0157116\pi\)
\(60\) −5277.07 + 1627.76i −1.46585 + 0.452156i
\(61\) −1136.39 + 1666.78i −0.305400 + 0.447940i −0.948004 0.318259i \(-0.896902\pi\)
0.642604 + 0.766199i \(0.277854\pi\)
\(62\) 97.5720 + 647.348i 0.0253829 + 0.168405i
\(63\) 6814.70 2674.57i 1.71698 0.673865i
\(64\) −2507.88 + 1207.73i −0.612276 + 0.294856i
\(65\) 780.173 + 1620.05i 0.184656 + 0.383443i
\(66\) −1301.52 3316.21i −0.298787 0.761297i
\(67\) −7963.60 + 1200.32i −1.77403 + 0.267391i −0.952885 0.303333i \(-0.901900\pi\)
−0.821141 + 0.570725i \(0.806662\pi\)
\(68\) 879.364 + 599.540i 0.190174 + 0.129658i
\(69\) 782.294 + 2536.13i 0.164313 + 0.532689i
\(70\) 720.008 + 164.337i 0.146940 + 0.0335382i
\(71\) −3940.91 1546.69i −0.781772 0.306823i −0.0593152 0.998239i \(-0.518892\pi\)
−0.722456 + 0.691417i \(0.756987\pi\)
\(72\) −5971.26 + 447.484i −1.15186 + 0.0863202i
\(73\) 876.743 + 944.905i 0.164523 + 0.177314i 0.809932 0.586523i \(-0.199504\pi\)
−0.645409 + 0.763837i \(0.723313\pi\)
\(74\) 600.401 409.346i 0.109642 0.0747528i
\(75\) −2043.26 1629.45i −0.363246 0.289679i
\(76\) 4279.44 4612.14i 0.740900 0.798500i
\(77\) 1197.25 7943.26i 0.201932 1.33973i
\(78\) 294.575 + 1290.62i 0.0484180 + 0.212133i
\(79\) 4219.55 + 7308.48i 0.676102 + 1.17104i 0.976145 + 0.217118i \(0.0696655\pi\)
−0.300043 + 0.953926i \(0.597001\pi\)
\(80\) 4014.31 + 2317.66i 0.627236 + 0.362135i
\(81\) 17521.7 + 5404.73i 2.67059 + 0.823767i
\(82\) 1080.73 861.850i 0.160727 0.128175i
\(83\) 121.727 1624.34i 0.0176698 0.235787i −0.981375 0.192099i \(-0.938470\pi\)
0.999045 0.0436874i \(-0.0139106\pi\)
\(84\) −8259.85 3977.74i −1.17061 0.563738i
\(85\) 1527.67i 0.211442i
\(86\) 1330.48 + 1136.83i 0.179891 + 0.153708i
\(87\) −20435.9 −2.69995
\(88\) −2850.86 + 5919.88i −0.368138 + 0.764447i
\(89\) −4170.55 312.539i −0.526518 0.0394571i −0.191180 0.981555i \(-0.561231\pi\)
−0.335338 + 0.942098i \(0.608850\pi\)
\(90\) 2602.29 + 3263.17i 0.321270 + 0.402860i
\(91\) −879.857 + 2852.43i −0.106250 + 0.344455i
\(92\) 1188.53 2058.59i 0.140421 0.243217i
\(93\) −10102.1 + 5832.43i −1.16800 + 0.674347i
\(94\) −1818.07 + 414.962i −0.205757 + 0.0469627i
\(95\) −8930.08 1345.99i −0.989482 0.149140i
\(96\) 8324.61 + 7724.11i 0.903278 + 0.838119i
\(97\) 577.963 724.743i 0.0614266 0.0770265i −0.750169 0.661246i \(-0.770028\pi\)
0.811596 + 0.584220i \(0.198599\pi\)
\(98\) −589.480 864.608i −0.0613785 0.0900258i
\(99\) 33279.2 30878.6i 3.39549 3.15056i
\(100\) 174.919 + 2334.13i 0.0174919 + 0.233413i
\(101\) 2919.00 7437.49i 0.286148 0.729094i −0.713449 0.700707i \(-0.752868\pi\)
0.999597 0.0283864i \(-0.00903689\pi\)
\(102\) 250.269 1096.50i 0.0240551 0.105392i
\(103\) −9183.11 + 2832.62i −0.865596 + 0.267001i −0.695587 0.718441i \(-0.744856\pi\)
−0.170009 + 0.985443i \(0.554380\pi\)
\(104\) 1375.41 2017.36i 0.127164 0.186516i
\(105\) 1961.27 + 13012.2i 0.177893 + 1.18024i
\(106\) −3369.00 + 1322.23i −0.299839 + 0.117678i
\(107\) 14831.8 7142.64i 1.29547 0.623866i 0.346151 0.938179i \(-0.387488\pi\)
0.949319 + 0.314313i \(0.101774\pi\)
\(108\) −13528.0 28091.2i −1.15981 2.40836i
\(109\) 4496.96 + 11458.1i 0.378500 + 0.964402i 0.985496 + 0.169698i \(0.0542791\pi\)
−0.606996 + 0.794705i \(0.707626\pi\)
\(110\) 4528.65 682.585i 0.374269 0.0564120i
\(111\) 10698.1 + 7293.81i 0.868278 + 0.591982i
\(112\) 2268.17 + 7353.22i 0.180817 + 0.586194i
\(113\) 11068.2 + 2526.23i 0.866799 + 0.197841i 0.632724 0.774377i \(-0.281937\pi\)
0.234075 + 0.972219i \(0.424794\pi\)
\(114\) −6189.16 2429.07i −0.476236 0.186909i
\(115\) −3402.42 + 254.976i −0.257272 + 0.0192799i
\(116\) 12449.3 + 13417.1i 0.925183 + 0.997110i
\(117\) −13938.6 + 9503.15i −1.01823 + 0.694218i
\(118\) 897.156 + 715.458i 0.0644324 + 0.0513831i
\(119\) 1724.97 1859.07i 0.121811 0.131281i
\(120\) 1604.22 10643.3i 0.111404 0.739118i
\(121\) −7826.93 34292.0i −0.534590 2.34219i
\(122\) −954.658 1653.52i −0.0641399 0.111094i
\(123\) 21330.3 + 12315.0i 1.40989 + 0.814002i
\(124\) 9983.29 + 3079.44i 0.649277 + 0.200276i
\(125\) 13220.7 10543.1i 0.846123 0.674761i
\(126\) −517.792 + 6909.45i −0.0326148 + 0.435214i
\(127\) −2668.05 1284.87i −0.165419 0.0796618i 0.349342 0.936995i \(-0.386405\pi\)
−0.514761 + 0.857334i \(0.672119\pi\)
\(128\) 13408.6i 0.818398i
\(129\) −10194.9 + 29468.3i −0.612639 + 1.77083i
\(130\) −1701.85 −0.100701
\(131\) −9113.98 + 18925.4i −0.531087 + 1.10281i 0.446984 + 0.894542i \(0.352498\pi\)
−0.978071 + 0.208271i \(0.933216\pi\)
\(132\) −56692.9 4248.55i −3.25373 0.243833i
\(133\) −9347.51 11721.4i −0.528436 0.662638i
\(134\) 2246.74 7283.76i 0.125125 0.405645i
\(135\) −22376.7 + 38757.5i −1.22780 + 2.12661i
\(136\) −1796.47 + 1037.19i −0.0971272 + 0.0560764i
\(137\) −7288.90 + 1663.64i −0.388348 + 0.0886379i −0.412237 0.911077i \(-0.635252\pi\)
0.0238889 + 0.999715i \(0.492395\pi\)
\(138\) −2483.90 374.388i −0.130430 0.0196591i
\(139\) 8203.14 + 7611.40i 0.424571 + 0.393944i 0.863313 0.504669i \(-0.168385\pi\)
−0.438742 + 0.898613i \(0.644576\pi\)
\(140\) 7348.32 9214.50i 0.374914 0.470127i
\(141\) −18717.9 27454.1i −0.941495 1.38092i
\(142\) 2937.27 2725.39i 0.145669 0.135161i
\(143\) 1383.34 + 18459.4i 0.0676483 + 0.902704i
\(144\) −15888.2 + 40482.4i −0.766212 + 1.95228i
\(145\) 5846.03 25613.1i 0.278051 1.21822i
\(146\) −1165.79 + 359.599i −0.0546909 + 0.0168699i
\(147\) 10503.5 15405.7i 0.486069 0.712932i
\(148\) −1728.38 11467.0i −0.0789070 0.523514i
\(149\) 6317.55 2479.45i 0.284561 0.111682i −0.218768 0.975777i \(-0.570204\pi\)
0.503329 + 0.864095i \(0.332108\pi\)
\(150\) 2228.56 1073.22i 0.0990471 0.0476986i
\(151\) 13939.6 + 28945.9i 0.611361 + 1.26950i 0.945083 + 0.326832i \(0.105981\pi\)
−0.333722 + 0.942672i \(0.608305\pi\)
\(152\) 4480.14 + 11415.2i 0.193912 + 0.494079i
\(153\) 14172.5 2136.16i 0.605429 0.0912537i
\(154\) 6281.83 + 4282.88i 0.264877 + 0.180590i
\(155\) −4420.15 14329.8i −0.183981 0.596452i
\(156\) 20596.4 + 4701.00i 0.846336 + 0.193171i
\(157\) 17365.0 + 6815.25i 0.704490 + 0.276492i 0.690420 0.723409i \(-0.257426\pi\)
0.0140701 + 0.999901i \(0.495521\pi\)
\(158\) −7964.98 + 596.892i −0.319058 + 0.0239101i
\(159\) −43862.4 47272.4i −1.73499 1.86988i
\(160\) −12062.3 + 8223.95i −0.471184 + 0.321248i
\(161\) −4428.44 3531.56i −0.170844 0.136243i
\(162\) −11804.2 + 12721.9i −0.449786 + 0.484754i
\(163\) 3326.19 22067.9i 0.125191 0.830587i −0.834800 0.550554i \(-0.814417\pi\)
0.959990 0.280033i \(-0.0903454\pi\)
\(164\) −4908.71 21506.4i −0.182507 0.799615i
\(165\) 40801.9 + 70671.0i 1.49869 + 2.59581i
\(166\) 1335.14 + 770.843i 0.0484518 + 0.0279737i
\(167\) 5621.05 + 1733.87i 0.201551 + 0.0621702i 0.393887 0.919159i \(-0.371130\pi\)
−0.192336 + 0.981329i \(0.561606\pi\)
\(168\) 13970.1 11140.8i 0.494974 0.394729i
\(169\) −1620.32 + 21621.7i −0.0567319 + 0.757034i
\(170\) 1302.69 + 627.344i 0.0450759 + 0.0217074i
\(171\) 84728.3i 2.89758i
\(172\) 25557.9 11258.2i 0.863910 0.380552i
\(173\) −39143.0 −1.30786 −0.653932 0.756554i \(-0.726882\pi\)
−0.653932 + 0.756554i \(0.726882\pi\)
\(174\) 8392.11 17426.4i 0.277187 0.575585i
\(175\) 5561.91 + 416.808i 0.181613 + 0.0136100i
\(176\) 29752.6 + 37308.6i 0.960506 + 1.20444i
\(177\) −6026.71 + 19538.1i −0.192368 + 0.623643i
\(178\) 1979.17 3428.02i 0.0624659 0.108194i
\(179\) −41936.9 + 24212.3i −1.30885 + 0.755665i −0.981904 0.189378i \(-0.939353\pi\)
−0.326946 + 0.945043i \(0.606019\pi\)
\(180\) 64937.1 14821.5i 2.00423 0.457453i
\(181\) −1975.20 297.713i −0.0602911 0.00908742i 0.118827 0.992915i \(-0.462086\pi\)
−0.179119 + 0.983827i \(0.557325\pi\)
\(182\) −2071.05 1921.65i −0.0625240 0.0580138i
\(183\) 21211.5 26598.3i 0.633386 0.794241i
\(184\) 2609.87 + 3827.98i 0.0770874 + 0.113066i
\(185\) −12202.0 + 11321.8i −0.356522 + 0.330804i
\(186\) −825.048 11009.5i −0.0238481 0.318230i
\(187\) 5745.70 14639.8i 0.164308 0.418651i
\(188\) −6622.20 + 29013.8i −0.187364 + 0.820896i
\(189\) −70994.2 + 21898.8i −1.98746 + 0.613051i
\(190\) 4814.96 7062.24i 0.133378 0.195630i
\(191\) 1857.35 + 12322.7i 0.0509127 + 0.337784i 0.999757 + 0.0220396i \(0.00701600\pi\)
−0.948844 + 0.315744i \(0.897746\pi\)
\(192\) 43697.4 17150.0i 1.18537 0.465222i
\(193\) −15645.7 + 7534.58i −0.420031 + 0.202276i −0.631947 0.775012i \(-0.717744\pi\)
0.211916 + 0.977288i \(0.432030\pi\)
\(194\) 380.670 + 790.468i 0.0101145 + 0.0210030i
\(195\) −11078.6 28227.7i −0.291349 0.742346i
\(196\) −16513.1 + 2488.95i −0.429850 + 0.0647895i
\(197\) −7352.58 5012.90i −0.189455 0.129169i 0.464878 0.885375i \(-0.346098\pi\)
−0.654333 + 0.756206i \(0.727051\pi\)
\(198\) 12665.0 + 41058.8i 0.323053 + 1.04731i
\(199\) −33576.7 7663.66i −0.847874 0.193522i −0.223555 0.974691i \(-0.571766\pi\)
−0.624319 + 0.781170i \(0.714623\pi\)
\(200\) −4246.75 1666.73i −0.106169 0.0416682i
\(201\) 135438. 10149.6i 3.35233 0.251223i
\(202\) 5143.50 + 5543.37i 0.126054 + 0.135854i
\(203\) 36035.4 24568.5i 0.874454 0.596193i
\(204\) −14032.8 11190.8i −0.337197 0.268905i
\(205\) −21536.8 + 23211.1i −0.512476 + 0.552317i
\(206\) 1355.63 8993.98i 0.0319452 0.211942i
\(207\) −7123.12 31208.4i −0.166238 0.728335i
\(208\) −8866.26 15356.8i −0.204934 0.354956i
\(209\) −80515.6 46485.7i −1.84326 1.06421i
\(210\) −11901.3 3671.08i −0.269872 0.0832444i
\(211\) −9384.93 + 7484.23i −0.210798 + 0.168106i −0.723197 0.690642i \(-0.757328\pi\)
0.512399 + 0.858747i \(0.328757\pi\)
\(212\) −4316.18 + 57595.4i −0.0960345 + 1.28149i
\(213\) 64325.5 + 30977.5i 1.41783 + 0.682791i
\(214\) 15580.8i 0.340222i
\(215\) −34017.4 21207.6i −0.735909 0.458791i
\(216\) 60769.4 1.30250
\(217\) 10801.5 22429.5i 0.229384 0.476320i
\(218\) −11617.4 870.603i −0.244453 0.0183192i
\(219\) −13553.5 16995.5i −0.282593 0.354361i
\(220\) 21542.8 69840.1i 0.445100 1.44298i
\(221\) −2922.06 + 5061.15i −0.0598280 + 0.103625i
\(222\) −10612.9 + 6127.36i −0.215342 + 0.124328i
\(223\) 37615.4 8585.48i 0.756408 0.172645i 0.173109 0.984903i \(-0.444619\pi\)
0.583299 + 0.812257i \(0.301762\pi\)
\(224\) −23965.2 3612.17i −0.477622 0.0719900i
\(225\) 23106.6 + 21439.8i 0.456427 + 0.423503i
\(226\) −6699.40 + 8400.79i −0.131165 + 0.164476i
\(227\) −6357.85 9325.25i −0.123384 0.180971i 0.759577 0.650417i \(-0.225406\pi\)
−0.882961 + 0.469446i \(0.844454\pi\)
\(228\) −77780.3 + 72169.6i −1.49624 + 1.38830i
\(229\) 7338.13 + 97920.5i 0.139931 + 1.86725i 0.420334 + 0.907369i \(0.361913\pi\)
−0.280403 + 0.959882i \(0.590468\pi\)
\(230\) 1179.80 3006.07i 0.0223024 0.0568255i
\(231\) −30145.0 + 132074.i −0.564925 + 2.47510i
\(232\) −34088.9 + 10515.0i −0.633341 + 0.195360i
\(233\) −2550.77 + 3741.29i −0.0469849 + 0.0689143i −0.849012 0.528373i \(-0.822802\pi\)
0.802027 + 0.597287i \(0.203755\pi\)
\(234\) −2379.72 15788.4i −0.0434605 0.288341i
\(235\) 39763.8 15606.1i 0.720033 0.282592i
\(236\) 16499.0 7945.52i 0.296234 0.142659i
\(237\) −61750.1 128225.i −1.09936 2.28285i
\(238\) 876.929 + 2234.38i 0.0154814 + 0.0394460i
\(239\) −30343.5 + 4573.55i −0.531215 + 0.0800678i −0.409173 0.912457i \(-0.634183\pi\)
−0.122043 + 0.992525i \(0.538944\pi\)
\(240\) −64588.2 44035.5i −1.12132 0.764505i
\(241\) 14401.3 + 46687.9i 0.247952 + 0.803842i 0.990913 + 0.134506i \(0.0429449\pi\)
−0.742960 + 0.669335i \(0.766579\pi\)
\(242\) 32456.2 + 7407.90i 0.554200 + 0.126492i
\(243\) −132207. 51887.6i −2.23894 0.878720i
\(244\) −30384.7 + 2277.02i −0.510359 + 0.0382461i
\(245\) 16303.9 + 17571.5i 0.271619 + 0.292736i
\(246\) −19260.8 + 13131.8i −0.318277 + 0.216998i
\(247\) 27010.7 + 21540.4i 0.442734 + 0.353068i
\(248\) −13850.1 + 14926.9i −0.225191 + 0.242698i
\(249\) −4094.20 + 27163.2i −0.0660344 + 0.438109i
\(250\) 3561.36 + 15603.3i 0.0569817 + 0.249653i
\(251\) −16579.1 28715.8i −0.263156 0.455800i 0.703923 0.710276i \(-0.251430\pi\)
−0.967079 + 0.254477i \(0.918097\pi\)
\(252\) 95760.0 + 55287.1i 1.50794 + 0.870608i
\(253\) −33564.8 10353.4i −0.524376 0.161749i
\(254\) 2191.30 1747.50i 0.0339652 0.0270863i
\(255\) −1925.27 + 25690.9i −0.0296082 + 0.395093i
\(256\) −28692.1 13817.4i −0.437807 0.210837i
\(257\) 30498.8i 0.461761i 0.972982 + 0.230880i \(0.0741606\pi\)
−0.972982 + 0.230880i \(0.925839\pi\)
\(258\) −20942.1 20794.9i −0.314615 0.312405i
\(259\) −27633.0 −0.411935
\(260\) −11783.9 + 24469.5i −0.174318 + 0.361975i
\(261\) 245793. + 18419.6i 3.60818 + 0.270396i
\(262\) −12395.6 15543.6i −0.180578 0.226438i
\(263\) −35817.9 + 116119.i −0.517832 + 1.67877i 0.197759 + 0.980251i \(0.436634\pi\)
−0.715591 + 0.698520i \(0.753843\pi\)
\(264\) 55403.9 95962.4i 0.794937 1.37687i
\(265\) 71795.9 41451.4i 1.02237 0.590266i
\(266\) 13833.9 3157.49i 0.195515 0.0446250i
\(267\) 69742.7 + 10512.0i 0.978310 + 0.147456i
\(268\) −89170.3 82737.9i −1.24151 1.15195i
\(269\) 332.524 416.973i 0.00459536 0.00576239i −0.779528 0.626367i \(-0.784541\pi\)
0.784124 + 0.620604i \(0.213113\pi\)
\(270\) −23860.8 34997.3i −0.327308 0.480073i
\(271\) 54884.6 50925.4i 0.747329 0.693420i −0.211508 0.977376i \(-0.567838\pi\)
0.958837 + 0.283956i \(0.0916471\pi\)
\(272\) 1125.84 + 15023.3i 0.0152174 + 0.203062i
\(273\) 18391.5 46860.7i 0.246770 0.628759i
\(274\) 1574.58 6898.68i 0.0209731 0.0918893i
\(275\) 33051.1 10194.9i 0.437040 0.134809i
\(276\) −22582.0 + 33121.6i −0.296444 + 0.434804i
\(277\) −15973.4 105976.i −0.208179 1.38118i −0.811813 0.583917i \(-0.801519\pi\)
0.603634 0.797261i \(-0.293719\pi\)
\(278\) −9859.16 + 3869.44i −0.127571 + 0.0500677i
\(279\) 126759. 61044.1i 1.62844 0.784216i
\(280\) 9966.83 + 20696.3i 0.127128 + 0.263984i
\(281\) −40173.0 102359.i −0.508770 1.29633i −0.922525 0.385937i \(-0.873878\pi\)
0.413755 0.910388i \(-0.364217\pi\)
\(282\) 31097.6 4687.21i 0.391047 0.0589409i
\(283\) 117080. + 79823.7i 1.46187 + 0.996688i 0.993582 + 0.113113i \(0.0360822\pi\)
0.468290 + 0.883575i \(0.344870\pi\)
\(284\) −18848.0 61103.7i −0.233684 0.757584i
\(285\) 148482. + 33890.0i 1.82803 + 0.417236i
\(286\) −16309.0 6400.82i −0.199387 0.0782535i
\(287\) −52417.8 + 3928.17i −0.636378 + 0.0476900i
\(288\) −93162.2 100405.i −1.12319 1.21051i
\(289\) −64905.9 + 44252.1i −0.777121 + 0.529832i
\(290\) 19440.5 + 15503.3i 0.231159 + 0.184343i
\(291\) −10633.0 + 11459.7i −0.125566 + 0.135328i
\(292\) −2901.75 + 19251.9i −0.0340326 + 0.225791i
\(293\) −3906.02 17113.4i −0.0454987 0.199343i 0.947070 0.321026i \(-0.104028\pi\)
−0.992569 + 0.121684i \(0.961171\pi\)
\(294\) 8823.71 + 15283.1i 0.102084 + 0.176814i
\(295\) −22763.8 13142.7i −0.261578 0.151022i
\(296\) 21598.2 + 6662.18i 0.246510 + 0.0760384i
\(297\) −360209. + 287257.i −4.08359 + 3.25655i
\(298\) −480.018 + 6405.39i −0.00540536 + 0.0721295i
\(299\) 11759.9 + 5663.28i 0.131541 + 0.0633469i
\(300\) 39473.8i 0.438597i
\(301\) −17450.4 64219.1i −0.192607 0.708813i
\(302\) −30407.6 −0.333402
\(303\) −58462.4 + 121398.i −0.636782 + 1.32229i
\(304\) 88811.7 + 6655.52i 0.960999 + 0.0720169i
\(305\) 27268.8 + 34194.0i 0.293135 + 0.367579i
\(306\) −3998.43 + 12962.6i −0.0427018 + 0.138436i
\(307\) 25366.9 43936.8i 0.269148 0.466178i −0.699494 0.714638i \(-0.746591\pi\)
0.968642 + 0.248461i \(0.0799246\pi\)
\(308\) 105076. 60665.9i 1.10765 0.639504i
\(309\) 158003. 36063.2i 1.65481 0.377701i
\(310\) 14034.6 + 2115.38i 0.146042 + 0.0220123i
\(311\) −64883.7 60203.3i −0.670834 0.622443i 0.269377 0.963035i \(-0.413182\pi\)
−0.940211 + 0.340592i \(0.889373\pi\)
\(312\) −25672.8 + 32192.7i −0.263733 + 0.330711i
\(313\) 89173.5 + 130794.i 0.910222 + 1.33505i 0.942020 + 0.335556i \(0.108924\pi\)
−0.0317982 + 0.999494i \(0.510123\pi\)
\(314\) −12942.6 + 12009.0i −0.131269 + 0.121800i
\(315\) −11860.8 158272.i −0.119535 1.59508i
\(316\) −46568.6 + 118655.i −0.466357 + 1.18826i
\(317\) 1949.25 8540.24i 0.0193977 0.0849868i −0.964303 0.264803i \(-0.914693\pi\)
0.983700 + 0.179816i \(0.0575503\pi\)
\(318\) 58323.2 17990.3i 0.576749 0.177903i
\(319\) 152357. 223466.i 1.49720 2.19599i
\(320\) 8994.36 + 59673.7i 0.0878355 + 0.582751i
\(321\) −258430. + 101426.i −2.50804 + 0.984331i
\(322\) 4830.05 2326.03i 0.0465843 0.0224338i
\(323\) −12735.3 26445.1i −0.122068 0.253478i
\(324\) 101183. + 257811.i 0.963871 + 2.45590i
\(325\) −12709.2 + 1915.61i −0.120324 + 0.0181359i
\(326\) 17452.1 + 11898.6i 0.164215 + 0.111960i
\(327\) −61185.6 198359.i −0.572208 1.85505i
\(328\) 41917.4 + 9567.36i 0.389624 + 0.0889292i
\(329\) 66011.8 + 25907.7i 0.609859 + 0.239352i
\(330\) −77019.1 + 5771.79i −0.707246 + 0.0530008i
\(331\) 78427.4 + 84524.6i 0.715833 + 0.771484i 0.981269 0.192644i \(-0.0617063\pi\)
−0.265436 + 0.964129i \(0.585516\pi\)
\(332\) 20328.0 13859.4i 0.184425 0.125739i
\(333\) −122097. 97368.8i −1.10107 0.878074i
\(334\) −3786.84 + 4081.25i −0.0339457 + 0.0365847i
\(335\) −26023.2 + 172653.i −0.231884 + 1.53845i
\(336\) −28877.0 126518.i −0.255784 1.12066i
\(337\) −13586.8 23533.0i −0.119635 0.207213i 0.799988 0.600016i \(-0.204839\pi\)
−0.919623 + 0.392802i \(0.871506\pi\)
\(338\) −17772.1 10260.7i −0.155563 0.0898143i
\(339\) −182951. 56432.8i −1.59197 0.491058i
\(340\) 18040.1 14386.5i 0.156056 0.124451i
\(341\) 11536.8 153948.i 0.0992152 1.32393i
\(342\) 72250.7 + 34794.1i 0.617718 + 0.297477i
\(343\) 126208.i 1.07275i
\(344\) −1843.49 + 54401.5i −0.0155785 + 0.459721i
\(345\) 57540.3 0.483430
\(346\) 16074.3 33378.6i 0.134270 0.278815i
\(347\) −43198.0 3237.24i −0.358761 0.0268854i −0.105869 0.994380i \(-0.533763\pi\)
−0.252891 + 0.967495i \(0.581382\pi\)
\(348\) −192451. 241327.i −1.58914 1.99272i
\(349\) 22370.2 72522.4i 0.183662 0.595417i −0.816183 0.577794i \(-0.803914\pi\)
0.999845 0.0176233i \(-0.00560996\pi\)
\(350\) −2639.45 + 4571.67i −0.0215466 + 0.0373197i
\(351\) 148268. 85602.4i 1.20346 0.694819i
\(352\) −146526. + 33443.5i −1.18257 + 0.269915i
\(353\) 208912. + 31488.5i 1.67654 + 0.252698i 0.917325 0.398139i \(-0.130344\pi\)
0.759218 + 0.650837i \(0.225582\pi\)
\(354\) −14185.9 13162.6i −0.113201 0.105035i
\(355\) −57226.7 + 71760.0i −0.454090 + 0.569411i
\(356\) −35584.6 52193.1i −0.280778 0.411825i
\(357\) −31351.9 + 29090.3i −0.245996 + 0.228251i
\(358\) −3425.03 45703.9i −0.0267238 0.356605i
\(359\) −3106.29 + 7914.69i −0.0241020 + 0.0614108i −0.942418 0.334437i \(-0.891454\pi\)
0.918316 + 0.395848i \(0.129549\pi\)
\(360\) −28887.9 + 126566.i −0.222901 + 0.976591i
\(361\) −41275.9 + 12731.9i −0.316725 + 0.0976966i
\(362\) 1065.00 1562.06i 0.00812700 0.0119201i
\(363\) 88409.2 + 586557.i 0.670941 + 4.45140i
\(364\) −41970.1 + 16472.0i −0.316765 + 0.124321i
\(365\) 25178.3 12125.2i 0.188991 0.0910132i
\(366\) 13970.7 + 29010.5i 0.104293 + 0.216567i
\(367\) 72499.3 + 184725.i 0.538272 + 1.37150i 0.898641 + 0.438685i \(0.144556\pi\)
−0.360369 + 0.932810i \(0.617349\pi\)
\(368\) 33272.0 5014.95i 0.245688 0.0370315i
\(369\) −245450. 167345.i −1.80264 1.22902i
\(370\) −4643.66 15054.4i −0.0339201 0.109966i
\(371\) 134176. + 30624.8i 0.974827 + 0.222498i
\(372\) −164009. 64368.9i −1.18517 0.465147i
\(373\) −25999.1 + 1948.36i −0.186870 + 0.0140040i −0.167836 0.985815i \(-0.553678\pi\)
−0.0190338 + 0.999819i \(0.506059\pi\)
\(374\) 10124.4 + 10911.5i 0.0723810 + 0.0780082i
\(375\) −235621. + 160644.i −1.67553 + 1.14235i
\(376\) −45349.2 36164.8i −0.320770 0.255806i
\(377\) −68359.6 + 73674.1i −0.480969 + 0.518361i
\(378\) 10480.3 69532.0i 0.0733481 0.486633i
\(379\) 2581.43 + 11310.0i 0.0179714 + 0.0787377i 0.983118 0.182971i \(-0.0585713\pi\)
−0.965147 + 0.261708i \(0.915714\pi\)
\(380\) −68202.6 118130.i −0.472317 0.818078i
\(381\) 43249.6 + 24970.2i 0.297942 + 0.172017i
\(382\) −11270.7 3476.55i −0.0772368 0.0238244i
\(383\) 64329.9 51301.4i 0.438546 0.349729i −0.379193 0.925318i \(-0.623798\pi\)
0.817739 + 0.575589i \(0.195227\pi\)
\(384\) −16898.5 + 225495.i −0.114600 + 1.52923i
\(385\) −156910. 75563.8i −1.05859 0.509791i
\(386\) 16435.8i 0.110310i
\(387\) 149180. 345241.i 0.996069 2.30516i
\(388\) 14001.3 0.0930048
\(389\) 4726.66 9815.01i 0.0312360 0.0648622i −0.884767 0.466034i \(-0.845683\pi\)
0.916003 + 0.401171i \(0.131397\pi\)
\(390\) 28620.2 + 2144.79i 0.188167 + 0.0141012i
\(391\) −6914.09 8670.00i −0.0452253 0.0567108i
\(392\) 9593.88 31102.6i 0.0624341 0.202406i
\(393\) 177122. 306784.i 1.14680 1.98631i
\(394\) 7294.05 4211.22i 0.0469868 0.0271279i
\(395\) 178374. 40712.8i 1.14324 0.260938i
\(396\) 678045. + 102199.i 4.32382 + 0.651711i
\(397\) −194635. 180594.i −1.23492 1.14584i −0.984064 0.177814i \(-0.943097\pi\)
−0.250856 0.968024i \(-0.580712\pi\)
\(398\) 20323.5 25484.9i 0.128302 0.160885i
\(399\) 142426. + 208901.i 0.894630 + 1.31218i
\(400\) −24288.1 + 22536.1i −0.151801 + 0.140851i
\(401\) −9631.14 128519.i −0.0598948 0.799240i −0.943577 0.331153i \(-0.892562\pi\)
0.883682 0.468087i \(-0.155057\pi\)
\(402\) −46963.2 + 119660.i −0.290607 + 0.740454i
\(403\) −12765.5 + 55929.1i −0.0786007 + 0.344372i
\(404\) 115318. 35570.9i 0.706536 0.217938i
\(405\) 223940. 328460.i 1.36528 2.00250i
\(406\) 6152.29 + 40817.8i 0.0373237 + 0.247627i
\(407\) −159515. + 62605.1i −0.962971 + 0.377938i
\(408\) 31518.5 15178.5i 0.189341 0.0911819i
\(409\) 30165.6 + 62639.6i 0.180329 + 0.374457i 0.971465 0.237183i \(-0.0762242\pi\)
−0.791136 + 0.611640i \(0.790510\pi\)
\(410\) −10948.7 27896.9i −0.0651323 0.165954i
\(411\) 124675. 18791.7i 0.738067 0.111246i
\(412\) −119930. 81767.2i −0.706537 0.481709i
\(413\) −12862.0 41697.7i −0.0754066 0.244462i
\(414\) 29537.7 + 6741.78i 0.172336 + 0.0393345i
\(415\) −32873.5 12901.9i −0.190875 0.0749131i
\(416\) 55692.8 4173.60i 0.321820 0.0241171i
\(417\) −128361. 138340.i −0.738176 0.795564i
\(418\) 72704.1 49568.8i 0.416108 0.283698i
\(419\) −70646.1 56338.4i −0.402402 0.320905i 0.401289 0.915951i \(-0.368562\pi\)
−0.803691 + 0.595047i \(0.797134\pi\)
\(420\) −135190. + 145700.i −0.766384 + 0.825966i
\(421\) 1712.34 11360.7i 0.00966111 0.0640973i −0.983481 0.181013i \(-0.942063\pi\)
0.993142 + 0.116915i \(0.0373006\pi\)
\(422\) −2528.09 11076.3i −0.0141961 0.0621970i
\(423\) 200384. + 347075.i 1.11991 + 1.93973i
\(424\) −97489.9 56285.8i −0.542285 0.313088i
\(425\) 10434.5 + 3218.62i 0.0577689 + 0.0178193i
\(426\) −52831.2 + 42131.5i −0.291120 + 0.232160i
\(427\) −5425.83 + 72402.7i −0.0297585 + 0.397099i
\(428\) 224023. + 107884.i 1.22294 + 0.588937i
\(429\) 312177.i 1.69624i
\(430\) 32053.9 20298.8i 0.173358 0.109782i
\(431\) −146391. −0.788063 −0.394031 0.919097i \(-0.628920\pi\)
−0.394031 + 0.919097i \(0.628920\pi\)
\(432\) 191493. 397638.i 1.02609 2.13069i
\(433\) 150542. + 11281.5i 0.802935 + 0.0601717i 0.469874 0.882734i \(-0.344299\pi\)
0.333061 + 0.942905i \(0.391918\pi\)
\(434\) 14690.7 + 18421.5i 0.0779943 + 0.0978017i
\(435\) −130593. + 423371.i −0.690145 + 2.23740i
\(436\) −92958.3 + 161009.i −0.489007 + 0.846986i
\(437\) −56772.9 + 32777.8i −0.297289 + 0.171640i
\(438\) 20058.5 4578.21i 0.104556 0.0238642i
\(439\) −35538.2 5356.52i −0.184402 0.0277942i 0.0561918 0.998420i \(-0.482104\pi\)
−0.240594 + 0.970626i \(0.577342\pi\)
\(440\) 104424. + 96891.5i 0.539381 + 0.500472i
\(441\) −140216. + 175825.i −0.720975 + 0.904075i
\(442\) −3115.86 4570.13i −0.0159490 0.0233929i
\(443\) 24172.6 22428.9i 0.123173 0.114288i −0.616181 0.787604i \(-0.711321\pi\)
0.739355 + 0.673316i \(0.235131\pi\)
\(444\) 14614.8 + 195021.i 0.0741356 + 0.989270i
\(445\) −33126.2 + 84404.1i −0.167283 + 0.426230i
\(446\) −8125.84 + 35601.6i −0.0408506 + 0.178978i
\(447\) −109368. + 33735.5i −0.547361 + 0.168839i
\(448\) −56435.1 + 82775.1i −0.281186 + 0.412424i
\(449\) −41398.4 274660.i −0.205348 1.36240i −0.819442 0.573163i \(-0.805716\pi\)
0.614093 0.789233i \(-0.289522\pi\)
\(450\) −27771.3 + 10899.4i −0.137142 + 0.0538244i
\(451\) −293689. + 141433.i −1.44389 + 0.695342i
\(452\) 74400.2 + 154494.i 0.364164 + 0.756195i
\(453\) −197945. 504355.i −0.964601 2.45776i
\(454\) 10562.8 1592.09i 0.0512471 0.00772426i
\(455\) 53471.2 + 36456.1i 0.258284 + 0.176095i
\(456\) −60956.7 197617.i −0.293151 0.950374i
\(457\) −109828. 25067.4i −0.525871 0.120027i −0.0486601 0.998815i \(-0.515495\pi\)
−0.477211 + 0.878789i \(0.658352\pi\)
\(458\) −86513.7 33954.1i −0.412433 0.161868i
\(459\) −145048. + 10869.8i −0.688471 + 0.0515938i
\(460\) −35052.7 37777.8i −0.165655 0.178534i
\(461\) 3852.24 2626.41i 0.0181264 0.0123584i −0.554223 0.832368i \(-0.686985\pi\)
0.572349 + 0.820010i \(0.306032\pi\)
\(462\) −100245. 79942.5i −0.469653 0.374536i
\(463\) 115362. 124331.i 0.538146 0.579984i −0.404180 0.914679i \(-0.632443\pi\)
0.942326 + 0.334696i \(0.108634\pi\)
\(464\) −38614.7 + 256192.i −0.179356 + 1.18995i
\(465\) 56274.8 + 246556.i 0.260260 + 1.14027i
\(466\) −2142.84 3711.50i −0.00986774 0.0170914i
\(467\) 143537. + 82871.3i 0.658160 + 0.379989i 0.791575 0.611072i \(-0.209261\pi\)
−0.133416 + 0.991060i \(0.542595\pi\)
\(468\) −243486. 75105.5i −1.11169 0.342910i
\(469\) −226620. + 180723.i −1.03027 + 0.821615i
\(470\) −3021.32 + 40316.7i −0.0136773 + 0.182511i
\(471\) −283440. 136497.i −1.27767 0.615293i
\(472\) 35692.3i 0.160210i
\(473\) −246229. 331178.i −1.10057 1.48026i
\(474\) 134700. 0.599531
\(475\) 28008.3 58159.7i 0.124136 0.257772i
\(476\) 38198.3 + 2862.57i 0.168589 + 0.0126340i
\(477\) 484946. + 608104.i 2.13136 + 2.67264i
\(478\) 8560.71 27753.1i 0.0374674 0.121466i
\(479\) 177000. 306574.i 0.771442 1.33618i −0.165331 0.986238i \(-0.552869\pi\)
0.936773 0.349938i \(-0.113798\pi\)
\(480\) 213218. 123101.i 0.925424 0.534294i
\(481\) 62080.9 14169.6i 0.268329 0.0612444i
\(482\) −45726.4 6892.14i −0.196822 0.0296661i
\(483\) 70022.9 + 64971.8i 0.300155 + 0.278503i
\(484\) 331244. 415367.i 1.41402 1.77313i
\(485\) −11321.1 16605.0i −0.0481289 0.0705921i
\(486\) 98537.9 91429.9i 0.417187 0.387093i
\(487\) 26288.5 + 350795.i 0.110843 + 1.47909i 0.724365 + 0.689417i \(0.242133\pi\)
−0.613522 + 0.789677i \(0.710248\pi\)
\(488\) 21696.8 55282.5i 0.0911078 0.232139i
\(489\) −83748.4 + 366926.i −0.350235 + 1.53448i
\(490\) −21679.1 + 6687.11i −0.0902919 + 0.0278514i
\(491\) −100854. + 147925.i −0.418339 + 0.613591i −0.976338 0.216251i \(-0.930617\pi\)
0.557998 + 0.829842i \(0.311570\pi\)
\(492\) 55446.4 + 367863.i 0.229057 + 1.51969i
\(493\) 79484.5 31195.4i 0.327031 0.128350i
\(494\) −29460.3 + 14187.3i −0.120721 + 0.0581362i
\(495\) −427047. 886771.i −1.74287 3.61911i
\(496\) 54029.0 + 137664.i 0.219616 + 0.559572i
\(497\) −150669. + 22709.7i −0.609975 + 0.0919389i
\(498\) −21481.7 14646.0i −0.0866184 0.0590554i
\(499\) 4044.10 + 13110.6i 0.0162413 + 0.0526529i 0.963331 0.268317i \(-0.0864674\pi\)
−0.947089 + 0.320970i \(0.895991\pi\)
\(500\) 249007. + 56834.1i 0.996027 + 0.227337i
\(501\) −92344.8 36242.7i −0.367906 0.144392i
\(502\) 31295.3 2345.26i 0.124186 0.00930642i
\(503\) −101321. 109198.i −0.400463 0.431596i 0.500337 0.865831i \(-0.333209\pi\)
−0.900800 + 0.434234i \(0.857019\pi\)
\(504\) −178067. + 121404.i −0.701009 + 0.477940i
\(505\) −135429. 108001.i −0.531043 0.423492i
\(506\) 22612.2 24370.2i 0.0883166 0.0951827i
\(507\) 54498.2 361572.i 0.212015 1.40663i
\(508\) −9952.98 43606.8i −0.0385679 0.168977i
\(509\) 225059. + 389814.i 0.868683 + 1.50460i 0.863343 + 0.504618i \(0.168366\pi\)
0.00534015 + 0.999986i \(0.498300\pi\)
\(510\) −21116.9 12191.9i −0.0811877 0.0468738i
\(511\) 44331.7 + 13674.5i 0.169774 + 0.0523685i
\(512\) 191298. 152555.i 0.729743 0.581951i
\(513\) −64258.0 + 857463.i −0.244170 + 3.25822i
\(514\) −26007.4 12524.5i −0.0984398 0.0474061i
\(515\) 208348.i 0.785552i
\(516\) −443999. + 157121.i −1.66756 + 0.590114i
\(517\) 439758. 1.64525
\(518\) 11347.7 23563.6i 0.0422909 0.0878179i
\(519\) 658273. + 49330.7i 2.44383 + 0.183140i
\(520\) −33004.2 41386.0i −0.122057 0.153055i
\(521\) −6512.89 + 21114.3i −0.0239937 + 0.0777858i −0.966778 0.255618i \(-0.917721\pi\)
0.942784 + 0.333404i \(0.108197\pi\)
\(522\) −116643. + 202032.i −0.428073 + 0.741445i
\(523\) −468671. + 270587.i −1.71342 + 0.989246i −0.783580 + 0.621291i \(0.786608\pi\)
−0.929844 + 0.367954i \(0.880058\pi\)
\(524\) −309318. + 70599.8i −1.12653 + 0.257123i
\(525\) −93010.0 14019.0i −0.337451 0.0508626i
\(526\) −84309.7 78228.0i −0.304724 0.282742i
\(527\) 30388.3 38105.7i 0.109417 0.137205i
\(528\) −453335. 664920.i −1.62611 2.38507i
\(529\) 186982. 173494.i 0.668173 0.619974i
\(530\) 5863.66 + 78245.1i 0.0208745 + 0.278551i
\(531\) 90096.6 229562.i 0.319536 0.814163i
\(532\) 50389.0 220768.i 0.178038 0.780035i
\(533\) 115749. 35703.7i 0.407438 0.125678i
\(534\) −37604.2 + 55155.2i −0.131872 + 0.193421i
\(535\) −53193.5 352916.i −0.185845 1.23300i
\(536\) 220700. 86618.2i 0.768196 0.301495i
\(537\) 735771. 354329.i 2.55149 1.22873i
\(538\) 219.014 + 454.787i 0.000756671 + 0.00157124i
\(539\) 90154.5 + 229710.i 0.310320 + 0.790683i
\(540\) −668414. + 100747.i −2.29223 + 0.345498i
\(541\) −43609.1 29732.2i −0.148999 0.101586i 0.486526 0.873666i \(-0.338264\pi\)
−0.635525 + 0.772080i \(0.719216\pi\)
\(542\) 20887.2 + 67714.8i 0.0711021 + 0.230507i
\(543\) 32841.9 + 7495.95i 0.111386 + 0.0254230i
\(544\) −44169.0 17335.1i −0.149252 0.0585770i
\(545\) 266114. 19942.5i 0.895932 0.0671408i
\(546\) 32407.2 + 34926.7i 0.108707 + 0.117158i
\(547\) −45444.3 + 30983.4i −0.151882 + 0.103551i −0.636876 0.770966i \(-0.719774\pi\)
0.484995 + 0.874517i \(0.338821\pi\)
\(548\) −88287.8 70407.2i −0.293995 0.234453i
\(549\) −279095. + 300793.i −0.925992 + 0.997982i
\(550\) −4879.06 + 32370.5i −0.0161291 + 0.107010i
\(551\) −112323. 492117.i −0.369968 1.62093i
\(552\) −39066.2 67664.7i −0.128210 0.222067i
\(553\) 263041. + 151867.i 0.860149 + 0.496607i
\(554\) 96929.3 + 29898.7i 0.315817 + 0.0974167i
\(555\) 219470. 175022.i 0.712508 0.568206i
\(556\) −12631.0 + 168549.i −0.0408591 + 0.545227i
\(557\) −268763. 129430.i −0.866282 0.417179i −0.0526868 0.998611i \(-0.516778\pi\)
−0.813595 + 0.581432i \(0.802493\pi\)
\(558\) 133160.i 0.427667i
\(559\) 72134.4 + 135328.i 0.230844 + 0.433075i
\(560\) 166831. 0.531987
\(561\) −115076. + 238958.i −0.365645 + 0.759270i
\(562\) 103782. + 7777.42i 0.328588 + 0.0246242i
\(563\) 150378. + 188568.i 0.474425 + 0.594910i 0.960248 0.279147i \(-0.0900516\pi\)
−0.485823 + 0.874057i \(0.661480\pi\)
\(564\) 147931. 479582.i 0.465053 1.50766i
\(565\) 123066. 213156.i 0.385513 0.667729i
\(566\) −116148. + 67058.0i −0.362559 + 0.209323i
\(567\) 643402. 146852.i 2.00132 0.456788i
\(568\) 123240. + 18575.4i 0.381992 + 0.0575760i
\(569\) 148173. + 137484.i 0.457661 + 0.424647i 0.875014 0.484097i \(-0.160852\pi\)
−0.417353 + 0.908744i \(0.637042\pi\)
\(570\) −89874.0 + 112698.i −0.276621 + 0.346871i
\(571\) 56476.6 + 82836.0i 0.173219 + 0.254066i 0.903025 0.429589i \(-0.141342\pi\)
−0.729805 + 0.683655i \(0.760389\pi\)
\(572\) −204959. + 190174.i −0.626432 + 0.581244i
\(573\) −15705.3 209573.i −0.0478341 0.638301i
\(574\) 18176.0 46311.6i 0.0551663 0.140561i
\(575\) 5426.94 23777.0i 0.0164142 0.0719152i
\(576\) −541028. + 166885.i −1.63070 + 0.503005i
\(577\) 700.072 1026.82i 0.00210277 0.00308419i −0.825186 0.564861i \(-0.808930\pi\)
0.827289 + 0.561777i \(0.189882\pi\)
\(578\) −11081.3 73519.9i −0.0331693 0.220064i
\(579\) 272612. 106992.i 0.813181 0.319150i
\(580\) 357518. 172171.i 1.06278 0.511806i
\(581\) −25436.8 52820.0i −0.0753546 0.156475i
\(582\) −5405.56 13773.1i −0.0159586 0.0406618i
\(583\) 843932. 127202.i 2.48296 0.374246i
\(584\) −31353.2 21376.3i −0.0919298 0.0626767i
\(585\) 107805. + 349494.i 0.315011 + 1.02124i
\(586\) 16197.2 + 3696.91i 0.0471677 + 0.0107657i
\(587\) −362347. 142211.i −1.05159 0.412720i −0.224318 0.974516i \(-0.572016\pi\)
−0.827276 + 0.561796i \(0.810111\pi\)
\(588\) 280840. 21046.0i 0.812277 0.0608718i
\(589\) −195975. 211211.i −0.564898 0.608815i
\(590\) 20555.3 14014.4i 0.0590500 0.0402596i
\(591\) 117332. + 93568.8i 0.335923 + 0.267890i
\(592\) 111652. 120332.i 0.318584 0.343352i
\(593\) −44110.6 + 292655.i −0.125439 + 0.832235i 0.834294 + 0.551320i \(0.185876\pi\)
−0.959733 + 0.280914i \(0.909362\pi\)
\(594\) −97032.3 425126.i −0.275007 1.20488i
\(595\) −27491.3 47616.4i −0.0776536 0.134500i
\(596\) 88774.1 + 51253.8i 0.249916 + 0.144289i
\(597\) 555004. + 171196.i 1.55721 + 0.480336i
\(598\) −9658.55 + 7702.43i −0.0270091 + 0.0215390i
\(599\) 31923.1 425984.i 0.0889716 1.18724i −0.756781 0.653668i \(-0.773229\pi\)
0.845753 0.533575i \(-0.179152\pi\)
\(600\) 69317.6 + 33381.6i 0.192549 + 0.0927267i
\(601\) 327890.i 0.907778i −0.891058 0.453889i \(-0.850036\pi\)
0.891058 0.453889i \(-0.149964\pi\)
\(602\) 61928.0 + 11491.4i 0.170881 + 0.0317087i
\(603\) −1.63812e6 −4.50518
\(604\) −210547. + 437206.i −0.577132 + 1.19843i
\(605\) −760445. 56987.5i −2.07758 0.155693i
\(606\) −79512.7 99705.7i −0.216517 0.271503i
\(607\) −160907. + 521649.i −0.436715 + 1.41580i 0.423514 + 0.905889i \(0.360796\pi\)
−0.860230 + 0.509907i \(0.829680\pi\)
\(608\) −140249. + 242919.i −0.379397 + 0.657135i
\(609\) −636974. + 367757.i −1.71746 + 0.991577i
\(610\) −40356.5 + 9211.12i −0.108456 + 0.0247544i
\(611\) −161588. 24355.5i −0.432840 0.0652401i
\(612\) 158692. + 147245.i 0.423695 + 0.393132i
\(613\) 64328.6 80665.5i 0.171192 0.214668i −0.688833 0.724920i \(-0.741877\pi\)
0.860025 + 0.510252i \(0.170448\pi\)
\(614\) 27049.4 + 39674.1i 0.0717497 + 0.105238i
\(615\) 391439. 363202.i 1.03494 0.960281i
\(616\) 17672.4 + 235822.i 0.0465730 + 0.621473i
\(617\) 28382.4 72317.2i 0.0745553 0.189964i −0.888738 0.458416i \(-0.848417\pi\)
0.963293 + 0.268452i \(0.0865122\pi\)
\(618\) −34132.5 + 149544.i −0.0893700 + 0.391555i
\(619\) −545095. + 168139.i −1.42263 + 0.438822i −0.908136 0.418675i \(-0.862495\pi\)
−0.514489 + 0.857497i \(0.672019\pi\)
\(620\) 127593. 187145.i 0.331929 0.486850i
\(621\) 48418.6 + 321236.i 0.125554 + 0.832993i
\(622\) 77982.3 30605.8i 0.201565 0.0791084i
\(623\) −135618. + 65310.0i −0.349414 + 0.168269i
\(624\) 129751. + 269431.i 0.333229 + 0.691956i
\(625\) −98552.4 251107.i −0.252294 0.642835i
\(626\) −148152. + 22330.3i −0.378058 + 0.0569830i
\(627\) 1.29546e6 + 883226.i 3.29524 + 2.24666i
\(628\) 83050.5 + 269243.i 0.210583 + 0.682693i
\(629\) −52743.5 12038.4i −0.133312 0.0304275i
\(630\) 139834. + 54881.0i 0.352316 + 0.138274i
\(631\) −605627. + 45385.5i −1.52106 + 0.113988i −0.808866 0.587994i \(-0.799918\pi\)
−0.712195 + 0.701981i \(0.752299\pi\)
\(632\) −168981. 182119.i −0.423063 0.455953i
\(633\) 167260. 114036.i 0.417430 0.284599i
\(634\) 6482.08 + 5169.29i 0.0161264 + 0.0128603i
\(635\) −43668.4 + 47063.3i −0.108298 + 0.116717i
\(636\) 145171. 963148.i 0.358894 2.38111i
\(637\) −20404.9 89399.7i −0.0502870 0.220322i
\(638\) 127991. + 221687.i 0.314441 + 0.544627i
\(639\) −745753. 430561.i −1.82639 1.05447i
\(640\) −277787. 85685.9i −0.678191 0.209194i
\(641\) −425940. + 339676.i −1.03665 + 0.826701i −0.985102 0.171969i \(-0.944987\pi\)
−0.0515480 + 0.998671i \(0.516416\pi\)
\(642\) 19636.0 262024.i 0.0476412 0.635727i
\(643\) 171269. + 82478.6i 0.414244 + 0.199489i 0.629385 0.777094i \(-0.283307\pi\)
−0.215141 + 0.976583i \(0.569021\pi\)
\(644\) 85553.1i 0.206283i
\(645\) 545347. + 399522.i 1.31085 + 0.960331i
\(646\) 27780.4 0.0665693
\(647\) −13268.8 + 27552.9i −0.0316973 + 0.0658202i −0.916216 0.400684i \(-0.868772\pi\)
0.884519 + 0.466504i \(0.154487\pi\)
\(648\) −538294. 40339.6i −1.28195 0.0960686i
\(649\) −168717. 211565.i −0.400563 0.502290i
\(650\) 3585.60 11624.2i 0.00848664 0.0275130i
\(651\) −209916. + 363586.i −0.495318 + 0.857917i
\(652\) 291922. 168541.i 0.686707 0.396471i
\(653\) −68926.5 + 15732.0i −0.161644 + 0.0368942i −0.302577 0.953125i \(-0.597847\pi\)
0.140933 + 0.990019i \(0.454990\pi\)
\(654\) 194274. + 29282.1i 0.454212 + 0.0684614i
\(655\) 333836. + 309754.i 0.778127 + 0.721996i
\(656\) 194690. 244134.i 0.452414 0.567310i
\(657\) 147696. + 216630.i 0.342166 + 0.501865i
\(658\) −49200.5 + 45651.4i −0.113636 + 0.105439i
\(659\) −41954.8 559848.i −0.0966075 1.28914i −0.809189 0.587548i \(-0.800093\pi\)
0.712581 0.701589i \(-0.247526\pi\)
\(660\) −450305. + 1.14736e6i −1.03376 + 2.63397i
\(661\) 182490. 799542.i 0.417673 1.82995i −0.127776 0.991803i \(-0.540784\pi\)
0.545450 0.838143i \(-0.316359\pi\)
\(662\) −104284. + 32167.2i −0.237958 + 0.0734003i
\(663\) 55519.0 81431.4i 0.126303 0.185253i
\(664\) 7147.01 + 47417.3i 0.0162102 + 0.107548i
\(665\) −302567. + 118749.i −0.684192 + 0.268525i
\(666\) 133169. 64130.9i 0.300231 0.144584i
\(667\) −82744.8 171821.i −0.185990 0.386212i
\(668\) 32460.1 + 82707.1i 0.0727440 + 0.185349i
\(669\) −643403. + 96977.4i −1.43758 + 0.216680i
\(670\) −136540. 93091.6i −0.304166 0.207377i
\(671\) 132713. + 430246.i 0.294761 + 0.955591i
\(672\) 398473. + 90948.8i 0.882389 + 0.201400i
\(673\) 423383. + 166166.i 0.934768 + 0.366869i 0.783336 0.621599i \(-0.213516\pi\)
0.151432 + 0.988468i \(0.451612\pi\)
\(674\) 25646.9 1921.97i 0.0564566 0.00423084i
\(675\) −217583. 234498.i −0.477548 0.514674i
\(676\) −270588. + 184484.i −0.592127 + 0.403705i
\(677\) 533845. + 425727.i 1.16476 + 0.928867i 0.998363 0.0571911i \(-0.0182144\pi\)
0.166400 + 0.986058i \(0.446786\pi\)
\(678\) 123252. 132834.i 0.268123 0.288968i
\(679\) 4972.53 32990.6i 0.0107854 0.0715567i
\(680\) 10007.4 + 43845.4i 0.0216424 + 0.0948214i
\(681\) 95168.3 + 164836.i 0.205210 + 0.355434i
\(682\) 126540. + 73057.6i 0.272055 + 0.157071i
\(683\) 426026. + 131412.i 0.913261 + 0.281704i 0.715554 0.698558i \(-0.246174\pi\)
0.197707 + 0.980261i \(0.436651\pi\)
\(684\) 1.00055e6 797913.i 2.13859 1.70547i
\(685\) −12112.9 + 161636.i −0.0258147 + 0.344474i
\(686\) −107622. 51828.0i −0.228693 0.110133i
\(687\) 1.65599e6i 3.50868i
\(688\) 350161. + 183489.i 0.739761 + 0.387644i
\(689\) −317146. −0.668069
\(690\) −23629.2 + 49066.6i −0.0496308 + 0.103059i
\(691\) −744758. 55811.9i −1.55977 0.116888i −0.733312 0.679893i \(-0.762026\pi\)
−0.826454 + 0.563004i \(0.809645\pi\)
\(692\) −368622. 462238.i −0.769785 0.965280i
\(693\) 481611. 1.56135e6i 1.00284 3.25112i
\(694\) 20500.0 35507.0i 0.0425633 0.0737217i
\(695\) 210106. 121305.i 0.434980 0.251136i
\(696\) 586529. 133871.i 1.21080 0.276356i
\(697\) −101762. 15338.1i −0.209469 0.0315724i
\(698\) 52655.9 + 48857.5i 0.108078 + 0.100281i
\(699\) 47611.5 59703.0i 0.0974446 0.122192i
\(700\) 47456.2 + 69605.5i 0.0968495 + 0.142052i
\(701\) −22185.0 + 20584.7i −0.0451464 + 0.0418898i −0.702423 0.711759i \(-0.747899\pi\)
0.657277 + 0.753649i \(0.271708\pi\)
\(702\) 12109.2 + 161586.i 0.0245720 + 0.327891i
\(703\) −116842. + 297709.i −0.236423 + 0.602395i
\(704\) −138244. + 605688.i −0.278935 + 1.22209i
\(705\) −688380. + 212337.i −1.38500 + 0.427216i
\(706\) −112642. + 165216.i −0.225991 + 0.331468i
\(707\) −42859.0 284351.i −0.0857439 0.568873i
\(708\) −287480. + 112827.i −0.573510 + 0.225086i
\(709\) 498463. 240047.i 0.991609 0.477534i 0.133526 0.991045i \(-0.457370\pi\)
0.858083 + 0.513512i \(0.171656\pi\)
\(710\) −37691.8 78267.8i −0.0747704 0.155262i
\(711\) 627124. + 1.59789e6i 1.24055 + 3.16087i
\(712\) 121746. 18350.2i 0.240157 0.0361978i
\(713\) −89941.1 61320.8i −0.176921 0.120623i
\(714\) −11931.5 38681.0i −0.0234045 0.0758754i
\(715\) 391264. + 89303.4i 0.765345 + 0.174685i
\(716\) −680854. 267216.i −1.32809 0.521238i
\(717\) 516055. 38673.0i 1.00382 0.0752262i
\(718\) −5473.51 5899.04i −0.0106174 0.0114428i
\(719\) −458621. + 312682.i −0.887147 + 0.604847i −0.918831 0.394651i \(-0.870865\pi\)
0.0316837 + 0.999498i \(0.489913\pi\)
\(720\) 737143. + 587852.i 1.42196 + 1.13397i
\(721\) −235257. + 253547.i −0.452555 + 0.487739i
\(722\) 6093.21 40425.8i 0.0116888 0.0775504i
\(723\) −183349. 803306.i −0.350754 1.53675i
\(724\) −15085.4 26128.6i −0.0287792 0.0498471i
\(725\) 162630. + 93894.4i 0.309403 + 0.178634i
\(726\) −536483. 165483.i −1.01785 0.313964i
\(727\) 28647.9 22845.9i 0.0542030 0.0432255i −0.596014 0.802974i \(-0.703250\pi\)
0.650217 + 0.759749i \(0.274678\pi\)
\(728\) 6567.04 87631.0i 0.0123910 0.165347i
\(729\) 819795. + 394793.i 1.54259 + 0.742872i
\(730\) 26449.7i 0.0496335i
\(731\) −5330.64 130178.i −0.00997574 0.243615i
\(732\) 513853. 0.958997
\(733\) −97084.9 + 201599.i −0.180694 + 0.375215i −0.971567 0.236766i \(-0.923913\pi\)
0.790873 + 0.611980i \(0.209627\pi\)
\(734\) −187294. 14035.7i −0.347641 0.0260521i
\(735\) −252040. 316049.i −0.466547 0.585031i
\(736\) −31236.6 + 101267.i −0.0576645 + 0.186944i
\(737\) −898747. + 1.55667e6i −1.65464 + 2.86591i
\(738\) 243496. 140582.i 0.447073 0.258118i
\(739\) −382585. + 87322.6i −0.700551 + 0.159896i −0.557938 0.829883i \(-0.688407\pi\)
−0.142612 + 0.989779i \(0.545550\pi\)
\(740\) −248608. 37471.6i −0.453996 0.0684288i
\(741\) −427096. 396287.i −0.777838 0.721728i
\(742\) −81215.0 + 101840.i −0.147512 + 0.184975i
\(743\) −330866. 485291.i −0.599341 0.879072i 0.399957 0.916534i \(-0.369025\pi\)
−0.999298 + 0.0374623i \(0.988073\pi\)
\(744\) 251731. 233573.i 0.454770 0.421965i
\(745\) −10995.5 146725.i −0.0198109 0.264358i
\(746\) 9015.22 22970.4i 0.0161994 0.0412754i
\(747\) 73726.1 323015.i 0.132124 0.578871i
\(748\) 226990. 70017.1i 0.405698 0.125141i
\(749\) 333763. 489540.i 0.594941 0.872618i
\(750\) −40227.4 266891.i −0.0715153 0.474473i
\(751\) 923155. 362312.i 1.63680 0.642395i 0.644312 0.764763i \(-0.277144\pi\)
0.992485 + 0.122367i \(0.0390486\pi\)
\(752\) −379542. + 182778.i −0.671157 + 0.323212i
\(753\) 242623. + 503812.i 0.427899 + 0.888542i
\(754\) −34752.2 88547.3i −0.0611280 0.155752i
\(755\) 688753. 103813.i 1.20829 0.182120i
\(756\) −927176. 632138.i −1.62225 1.10603i
\(757\) −90743.7 294184.i −0.158352 0.513366i 0.841276