Properties

Label 43.5.h.a.5.2
Level 43
Weight 5
Character 43.5
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 5.2
Character \(\chi\) \(=\) 43.5
Dual form 43.5.h.a.26.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.62097 - 1.51119i) q^{2} +(-2.79970 + 9.07640i) q^{3} +(27.1380 + 13.0690i) q^{4} +(20.2385 - 7.94303i) q^{5} +(32.2529 - 55.8637i) q^{6} +(-41.2058 + 23.7902i) q^{7} +(-74.9765 - 59.7917i) q^{8} +(-7.61736 - 5.19343i) q^{9} +O(q^{10})\) \(q+(-6.62097 - 1.51119i) q^{2} +(-2.79970 + 9.07640i) q^{3} +(27.1380 + 13.0690i) q^{4} +(20.2385 - 7.94303i) q^{5} +(32.2529 - 55.8637i) q^{6} +(-41.2058 + 23.7902i) q^{7} +(-74.9765 - 59.7917i) q^{8} +(-7.61736 - 5.19343i) q^{9} +(-146.002 + 22.0063i) q^{10} +(-69.9733 + 33.6974i) q^{11} +(-194.597 + 209.726i) q^{12} +(-251.315 - 37.8796i) q^{13} +(308.774 - 95.2440i) q^{14} +(15.4324 + 205.931i) q^{15} +(105.579 + 132.391i) q^{16} +(44.1311 - 112.444i) q^{17} +(42.5860 + 45.8968i) q^{18} +(-306.723 - 449.880i) q^{19} +(653.040 + 48.9386i) q^{20} +(-100.565 - 440.605i) q^{21} +(514.214 - 117.366i) q^{22} +(-37.4804 + 500.141i) q^{23} +(752.605 - 513.117i) q^{24} +(-111.652 + 103.598i) q^{25} +(1606.70 + 630.584i) q^{26} +(-533.053 + 425.096i) q^{27} +(-1429.16 + 107.100i) q^{28} +(-220.387 - 714.476i) q^{29} +(209.024 - 1386.78i) q^{30} +(998.602 + 926.567i) q^{31} +(166.777 + 346.316i) q^{32} +(-109.947 - 729.448i) q^{33} +(-462.116 + 677.800i) q^{34} +(-644.977 + 808.776i) q^{35} +(-138.847 - 240.490i) q^{36} +(-1559.48 - 900.368i) q^{37} +(1350.95 + 3442.15i) q^{38} +(1047.41 - 2174.98i) q^{39} +(-1992.34 - 614.555i) q^{40} +(116.774 - 511.619i) q^{41} +3069.21i q^{42} +(-1821.35 + 318.555i) q^{43} -2339.33 q^{44} +(-195.415 - 44.6023i) q^{45} +(1003.97 - 3254.78i) q^{46} +(-651.945 - 313.960i) q^{47} +(-1497.23 + 587.618i) q^{48} +(-68.5566 + 118.744i) q^{49} +(895.799 - 517.190i) q^{50} +(897.036 + 715.362i) q^{51} +(-6325.13 - 4312.40i) q^{52} +(3967.84 - 598.055i) q^{53} +(4171.73 - 2009.00i) q^{54} +(-1148.50 + 1237.78i) q^{55} +(4511.92 + 680.062i) q^{56} +(4942.02 - 1524.41i) q^{57} +(379.462 + 5063.57i) q^{58} +(2556.61 + 3205.89i) q^{59} +(-2272.50 + 5790.24i) q^{60} +(2367.32 + 2551.36i) q^{61} +(-5211.49 - 7643.85i) q^{62} +(437.431 + 32.7810i) q^{63} +(-1183.76 - 5186.41i) q^{64} +(-5387.11 + 1229.57i) q^{65} +(-374.384 + 4995.80i) q^{66} +(1546.74 - 1054.55i) q^{67} +(2667.16 - 2474.77i) q^{68} +(-4434.55 - 1740.43i) q^{69} +(5492.59 - 4380.20i) q^{70} +(-7928.50 + 594.159i) q^{71} +(260.599 + 844.840i) q^{72} +(-1374.76 + 9120.96i) q^{73} +(8964.66 + 8317.99i) q^{74} +(-627.703 - 1303.44i) q^{75} +(-2444.38 - 16217.4i) q^{76} +(2081.64 - 3053.20i) q^{77} +(-10221.7 + 12817.6i) q^{78} +(2596.52 + 4497.30i) q^{79} +(3188.34 + 1840.79i) q^{80} +(-2638.77 - 6723.49i) q^{81} +(-1546.31 + 3210.94i) q^{82} +(1503.85 + 463.876i) q^{83} +(3029.12 - 13271.4i) q^{84} -2626.24i q^{85} +(12540.5 + 643.272i) q^{86} +7101.88 q^{87} +(7261.17 + 1657.32i) q^{88} +(4091.82 - 13265.4i) q^{89} +(1226.44 + 590.621i) q^{90} +(11256.8 - 4417.96i) q^{91} +(-7553.48 + 13083.0i) q^{92} +(-11205.7 + 6469.60i) q^{93} +(3842.05 + 3063.93i) q^{94} +(-9781.02 - 6668.58i) q^{95} +(-3610.23 + 544.155i) q^{96} +(600.285 - 289.082i) q^{97} +(633.356 - 682.595i) q^{98} +(708.016 + 106.716i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.62097 1.51119i −1.65524 0.377798i −0.710008 0.704193i \(-0.751309\pi\)
−0.945233 + 0.326395i \(0.894166\pi\)
\(3\) −2.79970 + 9.07640i −0.311078 + 1.00849i 0.656161 + 0.754621i \(0.272179\pi\)
−0.967239 + 0.253868i \(0.918297\pi\)
\(4\) 27.1380 + 13.0690i 1.69613 + 0.816811i
\(5\) 20.2385 7.94303i 0.809540 0.317721i 0.0757757 0.997125i \(-0.475857\pi\)
0.733765 + 0.679404i \(0.237761\pi\)
\(6\) 32.2529 55.8637i 0.895914 1.55177i
\(7\) −41.2058 + 23.7902i −0.840934 + 0.485513i −0.857582 0.514348i \(-0.828034\pi\)
0.0166476 + 0.999861i \(0.494701\pi\)
\(8\) −74.9765 59.7917i −1.17151 0.934246i
\(9\) −7.61736 5.19343i −0.0940414 0.0641164i
\(10\) −146.002 + 22.0063i −1.46002 + 0.220063i
\(11\) −69.9733 + 33.6974i −0.578292 + 0.278491i −0.700079 0.714066i \(-0.746852\pi\)
0.121787 + 0.992556i \(0.461137\pi\)
\(12\) −194.597 + 209.726i −1.35137 + 1.45643i
\(13\) −251.315 37.8796i −1.48707 0.224139i −0.645280 0.763947i \(-0.723259\pi\)
−0.841789 + 0.539807i \(0.818497\pi\)
\(14\) 308.774 95.2440i 1.57538 0.485939i
\(15\) 15.4324 + 205.931i 0.0685884 + 0.915248i
\(16\) 105.579 + 132.391i 0.412416 + 0.517154i
\(17\) 44.1311 112.444i 0.152703 0.389081i −0.833967 0.551814i \(-0.813936\pi\)
0.986670 + 0.162733i \(0.0520310\pi\)
\(18\) 42.5860 + 45.8968i 0.131438 + 0.141657i
\(19\) −306.723 449.880i −0.849647 1.24620i −0.967424 0.253163i \(-0.918529\pi\)
0.117776 0.993040i \(-0.462423\pi\)
\(20\) 653.040 + 48.9386i 1.63260 + 0.122346i
\(21\) −100.565 440.605i −0.228039 0.999105i
\(22\) 514.214 117.366i 1.06243 0.242492i
\(23\) −37.4804 + 500.141i −0.0708515 + 0.945447i 0.842611 + 0.538523i \(0.181018\pi\)
−0.913462 + 0.406924i \(0.866601\pi\)
\(24\) 752.605 513.117i 1.30661 0.890829i
\(25\) −111.652 + 103.598i −0.178643 + 0.165756i
\(26\) 1606.70 + 630.584i 2.37678 + 0.932817i
\(27\) −533.053 + 425.096i −0.731211 + 0.583122i
\(28\) −1429.16 + 107.100i −1.82290 + 0.136608i
\(29\) −220.387 714.476i −0.262053 0.849555i −0.986996 0.160746i \(-0.948610\pi\)
0.724943 0.688809i \(-0.241866\pi\)
\(30\) 209.024 1386.78i 0.232249 1.54087i
\(31\) 998.602 + 926.567i 1.03913 + 0.964170i 0.999386 0.0350405i \(-0.0111560\pi\)
0.0397417 + 0.999210i \(0.487346\pi\)
\(32\) 166.777 + 346.316i 0.162868 + 0.338200i
\(33\) −109.947 729.448i −0.100961 0.669833i
\(34\) −462.116 + 677.800i −0.399754 + 0.586332i
\(35\) −644.977 + 808.776i −0.526512 + 0.660225i
\(36\) −138.847 240.490i −0.107135 0.185563i
\(37\) −1559.48 900.368i −1.13914 0.657683i −0.192923 0.981214i \(-0.561797\pi\)
−0.946218 + 0.323531i \(0.895130\pi\)
\(38\) 1350.95 + 3442.15i 0.935558 + 2.38376i
\(39\) 1047.41 2174.98i 0.688636 1.42997i
\(40\) −1992.34 614.555i −1.24521 0.384097i
\(41\) 116.774 511.619i 0.0694667 0.304354i −0.928245 0.371970i \(-0.878682\pi\)
0.997711 + 0.0676166i \(0.0215395\pi\)
\(42\) 3069.21i 1.73991i
\(43\) −1821.35 + 318.555i −0.985047 + 0.172285i
\(44\) −2339.33 −1.20833
\(45\) −195.415 44.6023i −0.0965015 0.0220258i
\(46\) 1003.97 3254.78i 0.474464 1.53818i
\(47\) −651.945 313.960i −0.295131 0.142128i 0.280459 0.959866i \(-0.409513\pi\)
−0.575590 + 0.817738i \(0.695228\pi\)
\(48\) −1497.23 + 587.618i −0.649837 + 0.255042i
\(49\) −68.5566 + 118.744i −0.0285534 + 0.0494559i
\(50\) 895.799 517.190i 0.358320 0.206876i
\(51\) 897.036 + 715.362i 0.344881 + 0.275033i
\(52\) −6325.13 4312.40i −2.33917 1.59482i
\(53\) 3967.84 598.055i 1.41254 0.212907i 0.601959 0.798527i \(-0.294387\pi\)
0.810585 + 0.585621i \(0.199149\pi\)
\(54\) 4171.73 2009.00i 1.43063 0.688957i
\(55\) −1148.50 + 1237.78i −0.379668 + 0.409185i
\(56\) 4511.92 + 680.062i 1.43875 + 0.216857i
\(57\) 4942.02 1524.41i 1.52109 0.469194i
\(58\) 379.462 + 5063.57i 0.112801 + 1.50522i
\(59\) 2556.61 + 3205.89i 0.734447 + 0.920967i 0.999058 0.0433878i \(-0.0138151\pi\)
−0.264611 + 0.964355i \(0.585244\pi\)
\(60\) −2272.50 + 5790.24i −0.631250 + 1.60840i
\(61\) 2367.32 + 2551.36i 0.636205 + 0.685666i 0.966046 0.258371i \(-0.0831856\pi\)
−0.329841 + 0.944036i \(0.606995\pi\)
\(62\) −5211.49 7643.85i −1.35575 1.98851i
\(63\) 437.431 + 32.7810i 0.110212 + 0.00825925i
\(64\) −1183.76 5186.41i −0.289005 1.26621i
\(65\) −5387.11 + 1229.57i −1.27506 + 0.291023i
\(66\) −374.384 + 4995.80i −0.0859466 + 1.14688i
\(67\) 1546.74 1054.55i 0.344563 0.234919i −0.378657 0.925537i \(-0.623614\pi\)
0.723219 + 0.690618i \(0.242661\pi\)
\(68\) 2667.16 2474.77i 0.576809 0.535200i
\(69\) −4434.55 1740.43i −0.931432 0.365560i
\(70\) 5492.59 4380.20i 1.12094 0.893917i
\(71\) −7928.50 + 594.159i −1.57280 + 0.117865i −0.832353 0.554246i \(-0.813007\pi\)
−0.740450 + 0.672111i \(0.765388\pi\)
\(72\) 260.599 + 844.840i 0.0502698 + 0.162971i
\(73\) −1374.76 + 9120.96i −0.257978 + 1.71157i 0.366407 + 0.930454i \(0.380588\pi\)
−0.624385 + 0.781116i \(0.714650\pi\)
\(74\) 8964.66 + 8317.99i 1.63708 + 1.51899i
\(75\) −627.703 1303.44i −0.111592 0.231722i
\(76\) −2444.38 16217.4i −0.423196 2.80772i
\(77\) 2081.64 3053.20i 0.351094 0.514961i
\(78\) −10221.7 + 12817.6i −1.68010 + 2.10678i
\(79\) 2596.52 + 4497.30i 0.416042 + 0.720606i 0.995537 0.0943699i \(-0.0300837\pi\)
−0.579495 + 0.814976i \(0.696750\pi\)
\(80\) 3188.34 + 1840.79i 0.498179 + 0.287624i
\(81\) −2638.77 6723.49i −0.402191 1.02477i
\(82\) −1546.31 + 3210.94i −0.229969 + 0.477535i
\(83\) 1503.85 + 463.876i 0.218297 + 0.0673357i 0.401975 0.915651i \(-0.368324\pi\)
−0.183677 + 0.982987i \(0.558800\pi\)
\(84\) 3029.12 13271.4i 0.429297 1.88087i
\(85\) 2626.24i 0.363494i
\(86\) 12540.5 + 643.272i 1.69558 + 0.0869757i
\(87\) 7101.88 0.938285
\(88\) 7261.17 + 1657.32i 0.937652 + 0.214013i
\(89\) 4091.82 13265.4i 0.516579 1.67471i −0.202100 0.979365i \(-0.564777\pi\)
0.718679 0.695342i \(-0.244747\pi\)
\(90\) 1226.44 + 590.621i 0.151412 + 0.0729162i
\(91\) 11256.8 4417.96i 1.35935 0.533505i
\(92\) −7553.48 + 13083.0i −0.892425 + 1.54572i
\(93\) −11205.7 + 6469.60i −1.29560 + 0.748017i
\(94\) 3842.05 + 3063.93i 0.434818 + 0.346756i
\(95\) −9781.02 6668.58i −1.08377 0.738901i
\(96\) −3610.23 + 544.155i −0.391735 + 0.0590446i
\(97\) 600.285 289.082i 0.0637990 0.0307240i −0.401712 0.915766i \(-0.631585\pi\)
0.465511 + 0.885042i \(0.345870\pi\)
\(98\) 633.356 682.595i 0.0659471 0.0710740i
\(99\) 708.016 + 106.716i 0.0722392 + 0.0108883i
\(100\) −4383.92 + 1352.26i −0.438392 + 0.135226i
\(101\) 601.204 + 8022.51i 0.0589358 + 0.786443i 0.945870 + 0.324547i \(0.105212\pi\)
−0.886934 + 0.461896i \(0.847169\pi\)
\(102\) −4858.19 6091.98i −0.466954 0.585542i
\(103\) −5111.49 + 13023.9i −0.481807 + 1.22762i 0.458925 + 0.888475i \(0.348235\pi\)
−0.940732 + 0.339150i \(0.889861\pi\)
\(104\) 16577.8 + 17866.6i 1.53271 + 1.65187i
\(105\) −5535.03 8118.40i −0.502044 0.736363i
\(106\) −27174.7 2036.46i −2.41854 0.181244i
\(107\) 2041.05 + 8942.41i 0.178273 + 0.781064i 0.982428 + 0.186644i \(0.0597612\pi\)
−0.804155 + 0.594420i \(0.797382\pi\)
\(108\) −20021.6 + 4569.79i −1.71653 + 0.391786i
\(109\) 412.614 5505.95i 0.0347289 0.463425i −0.952545 0.304397i \(-0.901545\pi\)
0.987274 0.159028i \(-0.0508360\pi\)
\(110\) 9474.69 6459.73i 0.783032 0.533862i
\(111\) 12538.2 11633.7i 1.01763 0.944220i
\(112\) −7500.06 2943.56i −0.597900 0.234659i
\(113\) 1526.67 1217.48i 0.119561 0.0953466i −0.561884 0.827216i \(-0.689923\pi\)
0.681445 + 0.731869i \(0.261352\pi\)
\(114\) −35024.6 + 2624.73i −2.69503 + 0.201965i
\(115\) 3214.09 + 10419.8i 0.243031 + 0.787889i
\(116\) 3356.61 22269.7i 0.249451 1.65500i
\(117\) 1717.63 + 1593.73i 0.125475 + 0.116424i
\(118\) −12082.5 25089.6i −0.867748 1.80190i
\(119\) 856.611 + 5683.24i 0.0604908 + 0.401330i
\(120\) 11155.9 16362.7i 0.774715 1.13630i
\(121\) −5367.77 + 6730.96i −0.366626 + 0.459734i
\(122\) −11818.3 20470.0i −0.794030 1.37530i
\(123\) 4316.72 + 2492.26i 0.285328 + 0.164734i
\(124\) 14990.8 + 38195.9i 0.974947 + 2.48412i
\(125\) −7332.57 + 15226.2i −0.469284 + 0.974479i
\(126\) −2846.68 878.085i −0.179307 0.0553089i
\(127\) 1781.50 7805.28i 0.110453 0.483928i −0.889198 0.457523i \(-0.848737\pi\)
0.999651 0.0264054i \(-0.00840609\pi\)
\(128\) 29977.8i 1.82970i
\(129\) 2207.90 17423.2i 0.132679 1.04700i
\(130\) 37526.0 2.22047
\(131\) 12104.8 + 2762.84i 0.705367 + 0.160996i 0.560134 0.828402i \(-0.310750\pi\)
0.145233 + 0.989397i \(0.453607\pi\)
\(132\) 6549.41 21232.7i 0.375884 1.21859i
\(133\) 23341.4 + 11240.6i 1.31955 + 0.635460i
\(134\) −11834.6 + 4644.72i −0.659087 + 0.258672i
\(135\) −7411.65 + 12837.4i −0.406675 + 0.704382i
\(136\) −10032.0 + 5792.00i −0.542390 + 0.313149i
\(137\) 3019.52 + 2407.99i 0.160878 + 0.128296i 0.700620 0.713534i \(-0.252907\pi\)
−0.539742 + 0.841830i \(0.681478\pi\)
\(138\) 26730.9 + 18224.8i 1.40364 + 0.956984i
\(139\) −9110.13 + 1373.13i −0.471515 + 0.0710694i −0.380501 0.924780i \(-0.624249\pi\)
−0.0910131 + 0.995850i \(0.529011\pi\)
\(140\) −28073.3 + 13519.4i −1.43231 + 0.689764i
\(141\) 4674.88 5038.32i 0.235143 0.253424i
\(142\) 53392.3 + 8047.59i 2.64790 + 0.399107i
\(143\) 18861.7 5818.08i 0.922380 0.284517i
\(144\) −116.665 1556.79i −0.00562621 0.0750765i
\(145\) −10135.4 12709.4i −0.482064 0.604489i
\(146\) 22885.8 58312.1i 1.07364 2.73560i
\(147\) −885.826 954.694i −0.0409934 0.0441804i
\(148\) −30554.4 44815.0i −1.39492 2.04598i
\(149\) −32114.8 2406.67i −1.44655 0.108404i −0.671827 0.740708i \(-0.734490\pi\)
−0.774720 + 0.632304i \(0.782109\pi\)
\(150\) 2186.25 + 9578.61i 0.0971669 + 0.425716i
\(151\) 24853.8 5672.71i 1.09003 0.248792i 0.360513 0.932754i \(-0.382602\pi\)
0.729518 + 0.683962i \(0.239745\pi\)
\(152\) −3902.10 + 52069.9i −0.168893 + 2.25372i
\(153\) −920.134 + 627.337i −0.0393068 + 0.0267990i
\(154\) −18396.4 + 17069.4i −0.775697 + 0.719742i
\(155\) 27570.0 + 10820.4i 1.14755 + 0.450381i
\(156\) 56849.5 45336.0i 2.33603 1.86292i
\(157\) −17354.1 + 1300.51i −0.704048 + 0.0527611i −0.421943 0.906622i \(-0.638652\pi\)
−0.282105 + 0.959383i \(0.591033\pi\)
\(158\) −10395.2 33700.3i −0.416406 1.34996i
\(159\) −5680.56 + 37688.0i −0.224697 + 1.49077i
\(160\) 6126.12 + 5684.21i 0.239302 + 0.222040i
\(161\) −10354.0 21500.4i −0.399446 0.829458i
\(162\) 7310.75 + 48503.7i 0.278569 + 1.84818i
\(163\) 25895.8 37982.1i 0.974662 1.42957i 0.0728967 0.997339i \(-0.476776\pi\)
0.901765 0.432227i \(-0.142272\pi\)
\(164\) 9855.33 12358.2i 0.366424 0.459481i
\(165\) −8019.18 13889.6i −0.294552 0.510179i
\(166\) −9255.93 5343.91i −0.335895 0.193929i
\(167\) −3697.42 9420.87i −0.132576 0.337799i 0.849135 0.528176i \(-0.177124\pi\)
−0.981711 + 0.190378i \(0.939029\pi\)
\(168\) −18804.5 + 39048.0i −0.666260 + 1.38350i
\(169\) 34432.0 + 10620.9i 1.20556 + 0.371866i
\(170\) −3968.76 + 17388.3i −0.137327 + 0.601670i
\(171\) 5019.83i 0.171671i
\(172\) −53591.1 15158.3i −1.81149 0.512380i
\(173\) −35995.4 −1.20269 −0.601347 0.798988i \(-0.705369\pi\)
−0.601347 + 0.798988i \(0.705369\pi\)
\(174\) −47021.3 10732.3i −1.55309 0.354482i
\(175\) 2136.09 6925.04i 0.0697499 0.226124i
\(176\) −11848.9 5706.14i −0.382519 0.184212i
\(177\) −36255.6 + 14229.3i −1.15726 + 0.454189i
\(178\) −47138.3 + 81645.9i −1.48776 + 2.57688i
\(179\) −20872.5 + 12050.7i −0.651430 + 0.376103i −0.789004 0.614388i \(-0.789403\pi\)
0.137574 + 0.990492i \(0.456070\pi\)
\(180\) −4720.28 3764.30i −0.145688 0.116182i
\(181\) 2423.77 + 1652.50i 0.0739835 + 0.0504411i 0.599747 0.800190i \(-0.295268\pi\)
−0.525763 + 0.850631i \(0.676220\pi\)
\(182\) −81207.1 + 12240.0i −2.45161 + 0.369521i
\(183\) −29785.0 + 14343.7i −0.889395 + 0.428310i
\(184\) 32714.5 35257.8i 0.966283 1.04141i
\(185\) −38713.3 5835.09i −1.13114 0.170492i
\(186\) 83969.2 25901.1i 2.42714 0.748672i
\(187\) 701.075 + 9355.20i 0.0200485 + 0.267528i
\(188\) −13589.3 17040.5i −0.384488 0.482133i
\(189\) 11851.8 30197.8i 0.331787 0.845380i
\(190\) 54682.3 + 58933.5i 1.51474 + 1.63251i
\(191\) 8350.66 + 12248.2i 0.228904 + 0.335741i 0.923458 0.383700i \(-0.125350\pi\)
−0.694553 + 0.719441i \(0.744398\pi\)
\(192\) 50388.1 + 3776.07i 1.36687 + 0.102432i
\(193\) 434.715 + 1904.61i 0.0116705 + 0.0511319i 0.980428 0.196878i \(-0.0630804\pi\)
−0.968757 + 0.248010i \(0.920223\pi\)
\(194\) −4411.32 + 1006.86i −0.117210 + 0.0267525i
\(195\) 3922.19 52338.0i 0.103148 1.37641i
\(196\) −3412.35 + 2326.50i −0.0888262 + 0.0605607i
\(197\) 38303.8 35540.7i 0.986981 0.915785i −0.00947021 0.999955i \(-0.503015\pi\)
0.996451 + 0.0841705i \(0.0268240\pi\)
\(198\) −4526.48 1776.51i −0.115460 0.0453146i
\(199\) −40730.1 + 32481.2i −1.02851 + 0.820211i −0.983887 0.178793i \(-0.942781\pi\)
−0.0446248 + 0.999004i \(0.514209\pi\)
\(200\) 14565.5 1091.54i 0.364139 0.0272884i
\(201\) 5241.11 + 16991.3i 0.129727 + 0.420566i
\(202\) 8143.00 54025.3i 0.199564 1.32402i
\(203\) 26078.7 + 24197.5i 0.632839 + 0.587189i
\(204\) 14994.7 + 31136.8i 0.360311 + 0.748194i
\(205\) −1700.48 11281.9i −0.0404635 0.268458i
\(206\) 53524.6 78506.2i 1.26130 1.84999i
\(207\) 2882.95 3615.10i 0.0672816 0.0843685i
\(208\) −21518.5 37271.2i −0.497377 0.861482i
\(209\) 36622.1 + 21143.8i 0.838400 + 0.484050i
\(210\) 24378.8 + 62116.2i 0.552807 + 1.40853i
\(211\) −8401.75 + 17446.4i −0.188714 + 0.391869i −0.973763 0.227565i \(-0.926924\pi\)
0.785049 + 0.619434i \(0.212638\pi\)
\(212\) 115495. + 35625.5i 2.56976 + 0.792665i
\(213\) 16804.6 73625.7i 0.370398 1.62282i
\(214\) 62291.8i 1.36020i
\(215\) −34331.2 + 20914.1i −0.742697 + 0.452442i
\(216\) 65383.7 1.40140
\(217\) −63191.3 14423.0i −1.34195 0.306292i
\(218\) −11052.5 + 35831.2i −0.232566 + 0.753960i
\(219\) −78936.6 38013.8i −1.64585 0.792599i
\(220\) −47344.5 + 18581.3i −0.978191 + 0.383912i
\(221\) −15350.1 + 26587.2i −0.314288 + 0.544363i
\(222\) −100596. + 58079.0i −2.04114 + 1.17845i
\(223\) −59540.3 47481.8i −1.19729 0.954811i −0.197619 0.980279i \(-0.563321\pi\)
−0.999676 + 0.0254683i \(0.991892\pi\)
\(224\) −15111.1 10302.6i −0.301162 0.205329i
\(225\) 1388.52 209.286i 0.0274275 0.00413404i
\(226\) −11947.9 + 5753.81i −0.233924 + 0.112652i
\(227\) 55864.9 60208.0i 1.08414 1.16843i 0.0992881 0.995059i \(-0.468343\pi\)
0.984857 0.173371i \(-0.0554661\pi\)
\(228\) 154039. + 23217.6i 2.96320 + 0.446630i
\(229\) −37250.9 + 11490.4i −0.710339 + 0.219111i −0.628808 0.777560i \(-0.716457\pi\)
−0.0815307 + 0.996671i \(0.525981\pi\)
\(230\) −5534.03 73846.5i −0.104613 1.39596i
\(231\) 21884.1 + 27441.8i 0.410114 + 0.514267i
\(232\) −26195.9 + 66746.1i −0.486696 + 1.24008i
\(233\) 20797.6 + 22414.5i 0.383090 + 0.412873i 0.894929 0.446209i \(-0.147226\pi\)
−0.511839 + 0.859081i \(0.671036\pi\)
\(234\) −8963.93 13147.7i −0.163707 0.240114i
\(235\) −15688.2 1175.67i −0.284078 0.0212887i
\(236\) 27483.6 + 120414.i 0.493458 + 2.16198i
\(237\) −48088.7 + 10975.9i −0.856144 + 0.195409i
\(238\) 2916.88 38923.1i 0.0514949 0.687152i
\(239\) −17221.1 + 11741.2i −0.301485 + 0.205549i −0.704608 0.709597i \(-0.748877\pi\)
0.403123 + 0.915146i \(0.367925\pi\)
\(240\) −25634.1 + 23785.0i −0.445037 + 0.412934i
\(241\) 43652.2 + 17132.2i 0.751575 + 0.294971i 0.710036 0.704166i \(-0.248679\pi\)
0.0415390 + 0.999137i \(0.486774\pi\)
\(242\) 45711.6 36453.8i 0.780541 0.622460i
\(243\) 13341.4 999.798i 0.225937 0.0169317i
\(244\) 30900.6 + 100177.i 0.519024 + 1.68263i
\(245\) −444.300 + 2947.74i −0.00740192 + 0.0491086i
\(246\) −24814.6 23024.6i −0.410050 0.380471i
\(247\) 60042.6 + 124680.i 0.984160 + 2.04363i
\(248\) −19470.6 129179.i −0.316574 2.10033i
\(249\) −8420.65 + 12350.8i −0.135815 + 0.199204i
\(250\) 71558.4 89731.4i 1.14494 1.43570i
\(251\) 12126.1 + 21003.0i 0.192475 + 0.333376i 0.946070 0.323963i \(-0.105015\pi\)
−0.753595 + 0.657339i \(0.771682\pi\)
\(252\) 11442.6 + 6606.39i 0.180187 + 0.104031i
\(253\) −14230.8 36259.5i −0.222325 0.566476i
\(254\) −23590.6 + 48986.3i −0.365655 + 0.759289i
\(255\) 23836.8 + 7352.68i 0.366579 + 0.113075i
\(256\) 26362.1 115500.i 0.402253 1.76239i
\(257\) 63279.0i 0.958062i −0.877798 0.479031i \(-0.840988\pi\)
0.877798 0.479031i \(-0.159012\pi\)
\(258\) −40948.2 + 112022.i −0.615171 + 1.68292i
\(259\) 85679.6 1.27726
\(260\) −162265. 37035.9i −2.40037 0.547868i
\(261\) −2031.81 + 6586.98i −0.0298265 + 0.0966952i
\(262\) −75970.4 36585.4i −1.10673 0.532973i
\(263\) −32396.0 + 12714.5i −0.468360 + 0.183818i −0.587771 0.809027i \(-0.699995\pi\)
0.119411 + 0.992845i \(0.461899\pi\)
\(264\) −35371.6 + 61265.3i −0.507512 + 0.879036i
\(265\) 75552.7 43620.4i 1.07587 0.621152i
\(266\) −137556. 109697.i −1.94409 1.55036i
\(267\) 108946. + 74278.0i 1.52823 + 1.04193i
\(268\) 55757.4 8404.08i 0.776306 0.117009i
\(269\) 64751.6 31182.7i 0.894841 0.430933i 0.0708182 0.997489i \(-0.477439\pi\)
0.824023 + 0.566557i \(0.191725\pi\)
\(270\) 68472.0 73795.3i 0.939260 1.01228i
\(271\) −70185.0 10578.7i −0.955665 0.144043i −0.347347 0.937737i \(-0.612917\pi\)
−0.608318 + 0.793693i \(0.708156\pi\)
\(272\) 19546.0 6029.13i 0.264192 0.0814924i
\(273\) 8583.58 + 114540.i 0.115171 + 1.53685i
\(274\) −16353.2 20506.3i −0.217822 0.273140i
\(275\) 4321.67 11011.4i 0.0571461 0.145606i
\(276\) −97599.2 105187.i −1.28123 1.38084i
\(277\) −18556.4 27217.2i −0.241843 0.354719i 0.686057 0.727548i \(-0.259340\pi\)
−0.927900 + 0.372829i \(0.878388\pi\)
\(278\) 62393.0 + 4675.71i 0.807320 + 0.0605003i
\(279\) −2794.65 12244.2i −0.0359020 0.157297i
\(280\) 96716.3 22074.9i 1.23363 0.281567i
\(281\) −6376.02 + 85082.0i −0.0807489 + 1.07752i 0.798764 + 0.601644i \(0.205488\pi\)
−0.879513 + 0.475875i \(0.842131\pi\)
\(282\) −38566.1 + 26293.9i −0.484961 + 0.330641i
\(283\) −49042.5 + 45504.8i −0.612350 + 0.568178i −0.924179 0.381961i \(-0.875249\pi\)
0.311829 + 0.950138i \(0.399059\pi\)
\(284\) −222929. 87493.1i −2.76395 1.08477i
\(285\) 87910.6 70106.4i 1.08231 0.863113i
\(286\) −133675. + 10017.6i −1.63425 + 0.122470i
\(287\) 7359.74 + 23859.7i 0.0893509 + 0.289668i
\(288\) 528.167 3504.16i 0.00636776 0.0422473i
\(289\) 50529.1 + 46884.1i 0.604986 + 0.561345i
\(290\) 47899.8 + 99465.0i 0.569558 + 1.18270i
\(291\) 943.206 + 6257.76i 0.0111383 + 0.0738981i
\(292\) −156510. + 229558.i −1.83559 + 2.69232i
\(293\) 1382.69 1733.84i 0.0161061 0.0201964i −0.773713 0.633536i \(-0.781603\pi\)
0.789819 + 0.613340i \(0.210174\pi\)
\(294\) 4422.30 + 7659.65i 0.0511627 + 0.0886164i
\(295\) 77206.4 + 44575.2i 0.887175 + 0.512211i
\(296\) 63090.0 + 160751.i 0.720074 + 1.83472i
\(297\) 22974.9 47707.8i 0.260460 0.540850i
\(298\) 208994. + 64466.2i 2.35343 + 0.725938i
\(299\) 28364.5 124273.i 0.317273 1.39006i
\(300\) 43576.2i 0.484180i
\(301\) 67471.7 56456.6i 0.744713 0.623134i
\(302\) −173129. −1.89826
\(303\) −74498.7 17003.8i −0.811453 0.185209i
\(304\) 27176.8 88105.1i 0.294071 0.953353i
\(305\) 68176.5 + 32832.1i 0.732884 + 0.352938i
\(306\) 7040.20 2763.08i 0.0751869 0.0295087i
\(307\) 66588.5 115335.i 0.706517 1.22372i −0.259624 0.965710i \(-0.583599\pi\)
0.966141 0.258014i \(-0.0830680\pi\)
\(308\) 96393.7 55652.9i 1.01613 0.586660i
\(309\) −103899. 82856.8i −1.08817 0.867784i
\(310\) −166188. 113305.i −1.72932 1.17903i
\(311\) −164349. + 24771.7i −1.69921 + 0.256115i −0.925861 0.377864i \(-0.876659\pi\)
−0.773350 + 0.633979i \(0.781421\pi\)
\(312\) −208577. + 100446.i −2.14268 + 1.03186i
\(313\) −9973.54 + 10748.9i −0.101803 + 0.109718i −0.781898 0.623407i \(-0.785748\pi\)
0.680095 + 0.733124i \(0.261939\pi\)
\(314\) 116866. + 17614.7i 1.18530 + 0.178656i
\(315\) 9113.34 2811.09i 0.0918452 0.0283305i
\(316\) 11689.2 + 155982.i 0.117061 + 1.56207i
\(317\) 99634.7 + 124938.i 0.991499 + 1.24330i 0.969893 + 0.243533i \(0.0783065\pi\)
0.0216060 + 0.999767i \(0.493122\pi\)
\(318\) 94564.7 240947.i 0.935136 2.38269i
\(319\) 39497.1 + 42567.8i 0.388136 + 0.418311i
\(320\) −65153.5 95562.6i −0.636264 0.933228i
\(321\) −86879.1 6510.69i −0.843151 0.0631854i
\(322\) 36062.5 + 158000.i 0.347812 + 1.52386i
\(323\) −64122.4 + 14635.5i −0.614617 + 0.140282i
\(324\) 16258.0 216948.i 0.154874 2.06664i
\(325\) 31984.0 21806.3i 0.302807 0.206450i
\(326\) −228853. + 212345.i −2.15339 + 1.99805i
\(327\) 48819.0 + 19160.1i 0.456556 + 0.179185i
\(328\) −39345.8 + 31377.3i −0.365722 + 0.291654i
\(329\) 34333.0 2572.91i 0.317191 0.0237702i
\(330\) 32104.8 + 104081.i 0.294810 + 0.955751i
\(331\) 2763.04 18331.6i 0.0252192 0.167319i −0.972676 0.232167i \(-0.925418\pi\)
0.997895 + 0.0648486i \(0.0206564\pi\)
\(332\) 34749.1 + 32242.4i 0.315259 + 0.292517i
\(333\) 7203.15 + 14957.5i 0.0649582 + 0.134887i
\(334\) 10243.7 + 67962.8i 0.0918260 + 0.609226i
\(335\) 22927.4 33628.4i 0.204299 0.299651i
\(336\) 47714.8 59832.5i 0.422644 0.529979i
\(337\) 56625.2 + 98077.7i 0.498597 + 0.863596i 0.999999 0.00161878i \(-0.000515273\pi\)
−0.501401 + 0.865215i \(0.667182\pi\)
\(338\) −211923. 122354.i −1.85500 1.07099i
\(339\) 6776.12 + 17265.3i 0.0589633 + 0.150236i
\(340\) 34322.3 71270.9i 0.296905 0.616531i
\(341\) −101098. 31184.7i −0.869431 0.268184i
\(342\) 7585.94 33236.2i 0.0648570 0.284157i
\(343\) 120764.i 1.02648i
\(344\) 155606. + 85017.7i 1.31495 + 0.718443i
\(345\) −103573. −0.870178
\(346\) 238325. + 54396.1i 1.99075 + 0.454376i
\(347\) 26676.9 86484.4i 0.221552 0.718255i −0.774744 0.632275i \(-0.782121\pi\)
0.996297 0.0859808i \(-0.0274024\pi\)
\(348\) 192731. + 92814.3i 1.59145 + 0.766402i
\(349\) −85932.3 + 33725.9i −0.705514 + 0.276894i −0.690849 0.722999i \(-0.742763\pi\)
−0.0146645 + 0.999892i \(0.504668\pi\)
\(350\) −24608.1 + 42622.4i −0.200882 + 0.347938i
\(351\) 150066. 86640.9i 1.21806 0.703248i
\(352\) −23339.9 18612.9i −0.188371 0.150221i
\(353\) 37641.8 + 25663.8i 0.302080 + 0.205954i 0.704868 0.709339i \(-0.251006\pi\)
−0.402788 + 0.915293i \(0.631959\pi\)
\(354\) 261551. 39422.4i 2.08713 0.314584i
\(355\) −155742. + 75001.2i −1.23580 + 0.595130i
\(356\) 284408. 306519.i 2.24410 2.41857i
\(357\) −53981.6 8136.42i −0.423555 0.0638406i
\(358\) 156407. 48245.2i 1.22037 0.376433i
\(359\) −6838.04 91247.3i −0.0530570 0.707996i −0.958784 0.284135i \(-0.908294\pi\)
0.905727 0.423861i \(-0.139326\pi\)
\(360\) 11984.7 + 15028.4i 0.0924746 + 0.115960i
\(361\) −60701.2 + 154664.i −0.465782 + 1.18679i
\(362\) −13550.5 14603.9i −0.103404 0.111443i
\(363\) −46064.8 67564.6i −0.349588 0.512751i
\(364\) 363224. + 27219.9i 2.74140 + 0.205439i
\(365\) 44624.9 + 195514.i 0.334959 + 1.46755i
\(366\) 218881. 49958.2i 1.63398 0.372945i
\(367\) 13567.0 181040.i 0.100729 1.34413i −0.686347 0.727274i \(-0.740787\pi\)
0.787076 0.616857i \(-0.211594\pi\)
\(368\) −70171.6 + 47842.2i −0.518162 + 0.353277i
\(369\) −3546.56 + 3290.73i −0.0260468 + 0.0241679i
\(370\) 247501. + 97137.1i 1.80790 + 0.709548i
\(371\) −149270. + 119039.i −1.08449 + 0.864850i
\(372\) −388651. + 29125.3i −2.80849 + 0.210468i
\(373\) −37961.2 123067.i −0.272849 0.884554i −0.983484 0.180994i \(-0.942069\pi\)
0.710635 0.703560i \(-0.248408\pi\)
\(374\) 9495.71 62999.9i 0.0678867 0.450399i
\(375\) −117670. 109182.i −0.836767 0.776406i
\(376\) 30108.3 + 62520.5i 0.212966 + 0.442229i
\(377\) 28322.3 + 187906.i 0.199272 + 1.32208i
\(378\) −124105. + 182028.i −0.868571 + 1.27396i
\(379\) −68165.2 + 85476.4i −0.474552 + 0.595070i −0.960279 0.279041i \(-0.909983\pi\)
0.485727 + 0.874111i \(0.338555\pi\)
\(380\) −178286. 308800.i −1.23467 2.13850i
\(381\) 65856.2 + 38022.1i 0.453677 + 0.261930i
\(382\) −36780.1 93714.2i −0.252050 0.642212i
\(383\) −13675.7 + 28397.9i −0.0932294 + 0.193593i −0.942369 0.334576i \(-0.891407\pi\)
0.849139 + 0.528169i \(0.177121\pi\)
\(384\) −272091. 83928.9i −1.84523 0.569179i
\(385\) 17877.6 78326.8i 0.120611 0.528431i
\(386\) 13267.3i 0.0890447i
\(387\) 15528.3 + 7032.51i 0.103682 + 0.0469557i
\(388\) 20068.5 0.133307
\(389\) 148844. + 33972.6i 0.983629 + 0.224507i 0.683947 0.729532i \(-0.260262\pi\)
0.299683 + 0.954039i \(0.403119\pi\)
\(390\) −105062. + 340601.i −0.690740 + 2.23932i
\(391\) 54584.0 + 26286.3i 0.357036 + 0.171939i
\(392\) 12240.0 4803.85i 0.0796544 0.0312621i
\(393\) −58966.5 + 102133.i −0.381786 + 0.661273i
\(394\) −307317. + 177429.i −1.97967 + 1.14297i
\(395\) 88271.8 + 70394.4i 0.565754 + 0.451174i
\(396\) 17819.5 + 12149.1i 0.113633 + 0.0774737i
\(397\) −95.7313 + 14.4292i −0.000607398 + 9.15505e-5i −0.149346 0.988785i \(-0.547717\pi\)
0.148739 + 0.988877i \(0.452479\pi\)
\(398\) 318758. 153506.i 2.01231 0.969077i
\(399\) −167374. + 180386.i −1.05134 + 1.13307i
\(400\) −25503.5 3844.03i −0.159397 0.0240252i
\(401\) 107368. 33118.7i 0.667708 0.205961i 0.0576735 0.998335i \(-0.481632\pi\)
0.610034 + 0.792375i \(0.291156\pi\)
\(402\) −9024.16 120419.i −0.0558412 0.745149i
\(403\) −215865. 270686.i −1.32915 1.66670i
\(404\) −88530.5 + 225572.i −0.542413 + 1.38205i
\(405\) −106810. 115113.i −0.651179 0.701805i
\(406\) −136099. 199621.i −0.825663 1.21103i
\(407\) 139462. + 10451.2i 0.841914 + 0.0630927i
\(408\) −24483.8 107271.i −0.147082 0.644407i
\(409\) −249114. + 56858.6i −1.48919 + 0.339899i −0.888238 0.459384i \(-0.848070\pi\)
−0.600956 + 0.799282i \(0.705213\pi\)
\(410\) −5790.37 + 77267.1i −0.0344460 + 0.459649i
\(411\) −30309.6 + 20664.7i −0.179431 + 0.122334i
\(412\) −308924. + 286640.i −1.81994 + 1.68866i
\(413\) −181616. 71278.9i −1.06476 0.417889i
\(414\) −24551.0 + 19578.8i −0.143242 + 0.114231i
\(415\) 34120.2 2556.96i 0.198114 0.0148466i
\(416\) −28795.2 93351.8i −0.166392 0.539431i
\(417\) 13042.5 86531.5i 0.0750049 0.497625i
\(418\) −210522. 195336.i −1.20488 1.11797i
\(419\) 69492.8 + 144303.i 0.395833 + 0.821955i 0.999691 + 0.0248634i \(0.00791507\pi\)
−0.603858 + 0.797092i \(0.706371\pi\)
\(420\) −44110.6 292654.i −0.250060 1.65904i
\(421\) 121390. 178047.i 0.684889 1.00455i −0.313598 0.949556i \(-0.601535\pi\)
0.998487 0.0549913i \(-0.0175131\pi\)
\(422\) 81992.6 102815.i 0.460415 0.577343i
\(423\) 3335.57 + 5777.37i 0.0186419 + 0.0322886i
\(424\) −333253. 192404.i −1.85371 1.07024i
\(425\) 6721.65 + 17126.5i 0.0372133 + 0.0948180i
\(426\) −222525. + 462079.i −1.22620 + 2.54622i
\(427\) −158244. 48812.0i −0.867906 0.267714i
\(428\) −61478.2 + 269353.i −0.335609 + 1.47040i
\(429\) 187486.i 1.01872i
\(430\) 258911. 86590.8i 1.40027 0.468312i
\(431\) 68662.3 0.369627 0.184814 0.982774i \(-0.440832\pi\)
0.184814 + 0.982774i \(0.440832\pi\)
\(432\) −112558. 25690.6i −0.603127 0.137660i
\(433\) 33109.4 107338.i 0.176594 0.572503i −0.823394 0.567471i \(-0.807922\pi\)
0.999987 0.00503210i \(-0.00160178\pi\)
\(434\) 396592. + 190989.i 2.10554 + 1.01398i
\(435\) 143731. 56410.5i 0.759580 0.298113i
\(436\) 83154.7 144028.i 0.437435 0.757660i
\(437\) 236500. 136543.i 1.23842 0.715001i
\(438\) 465190. + 370977.i 2.42484 + 1.93374i
\(439\) −181092. 123466.i −0.939658 0.640648i −0.00644793 0.999979i \(-0.502052\pi\)
−0.933210 + 0.359331i \(0.883005\pi\)
\(440\) 160119. 24134.1i 0.827063 0.124660i
\(441\) 1138.91 548.468i 0.00585613 0.00282016i
\(442\) 141811. 152836.i 0.725882 0.782315i
\(443\) −119137. 17957.0i −0.607069 0.0915010i −0.161688 0.986842i \(-0.551694\pi\)
−0.445381 + 0.895341i \(0.646932\pi\)
\(444\) 492302. 151855.i 2.49727 0.770306i
\(445\) −22554.8 300972.i −0.113899 1.51987i
\(446\) 322460. + 404352.i 1.62109 + 2.03278i
\(447\) 111756. 284749.i 0.559313 1.42511i
\(448\) 172163. + 185548.i 0.857798 + 0.924486i
\(449\) 168984. + 247855.i 0.838212 + 1.22943i 0.971189 + 0.238312i \(0.0765942\pi\)
−0.132976 + 0.991119i \(0.542453\pi\)
\(450\) −9509.61 712.647i −0.0469610 0.00351924i
\(451\) 9069.16 + 39734.6i 0.0445876 + 0.195351i
\(452\) 57342.1 13088.0i 0.280670 0.0640612i
\(453\) −18095.3 + 241465.i −0.0881798 + 1.17668i
\(454\) −460866. + 314213.i −2.23595 + 1.52445i
\(455\) 192728. 178826.i 0.930942 0.863788i
\(456\) −461682. 181197.i −2.22031 0.871407i
\(457\) −164198. + 130944.i −0.786207 + 0.626979i −0.932050 0.362329i \(-0.881982\pi\)
0.145844 + 0.989308i \(0.453410\pi\)
\(458\) 264001. 19784.2i 1.25856 0.0943162i
\(459\) 24275.4 + 78698.8i 0.115223 + 0.373545i
\(460\) −48952.4 + 324778.i −0.231344 + 1.53487i
\(461\) −57319.6 53184.8i −0.269713 0.250257i 0.533708 0.845669i \(-0.320798\pi\)
−0.803420 + 0.595412i \(0.796989\pi\)
\(462\) −103424. 214762.i −0.484549 1.00618i
\(463\) −42526.8 282147.i −0.198381 1.31617i −0.837234 0.546845i \(-0.815829\pi\)
0.638852 0.769329i \(-0.279409\pi\)
\(464\) 71322.3 104611.i 0.331276 0.485892i
\(465\) −175398. + 219942.i −0.811182 + 1.01719i
\(466\) −103828. 179835.i −0.478124 0.828135i
\(467\) −49509.9 28584.5i −0.227017 0.131068i 0.382178 0.924089i \(-0.375174\pi\)
−0.609195 + 0.793020i \(0.708507\pi\)
\(468\) 25784.6 + 65698.2i 0.117725 + 0.299959i
\(469\) −38646.8 + 80250.8i −0.175698 + 0.364841i
\(470\) 102094. + 31491.9i 0.462174 + 0.142562i
\(471\) 36782.3 161154.i 0.165805 0.726438i
\(472\) 393230.i 1.76507i
\(473\) 116712. 83665.1i 0.521665 0.373957i
\(474\) 334981. 1.49095
\(475\) 80852.6 + 18454.1i 0.358350 + 0.0817910i
\(476\) −51027.4 + 165427.i −0.225211 + 0.730116i
\(477\) −33330.4 16051.1i −0.146488 0.0705451i
\(478\) 131764. 51713.4i 0.576687 0.226333i
\(479\) −136532. + 236481.i −0.595066 + 1.03068i 0.398472 + 0.917181i \(0.369541\pi\)
−0.993538 + 0.113503i \(0.963793\pi\)
\(480\) −68743.5 + 39689.1i −0.298366 + 0.172262i
\(481\) 357815. + 285348.i 1.54657 + 1.23335i
\(482\) −263130. 179399.i −1.13260 0.772193i
\(483\) 224134. 33782.8i 0.960758 0.144811i
\(484\) −233637. + 112514.i −0.997359 + 0.480303i
\(485\) 9852.68 10618.7i 0.0418862 0.0451426i
\(486\) −89843.8 13541.8i −0.380378 0.0573328i
\(487\) −96782.0 + 29853.3i −0.408072 + 0.125873i −0.491993 0.870599i \(-0.663732\pi\)
0.0839217 + 0.996472i \(0.473255\pi\)
\(488\) −24942.8 332838.i −0.104738 1.39763i
\(489\) 272241. + 341379.i 1.13851 + 1.42764i
\(490\) 7396.30 18845.5i 0.0308051 0.0784901i
\(491\) −115905. 124915.i −0.480770 0.518147i 0.445360 0.895352i \(-0.353076\pi\)
−0.926130 + 0.377205i \(0.876885\pi\)
\(492\) 84576.0 + 124050.i 0.349395 + 0.512468i
\(493\) −90064.6 6749.41i −0.370562 0.0277698i
\(494\) −209125. 916237.i −0.856944 3.75452i
\(495\) 15176.8 3464.02i 0.0619400 0.0141374i
\(496\) −17238.5 + 230032.i −0.0700707 + 0.935028i
\(497\) 312565. 213103.i 1.26540 0.862734i
\(498\) 74417.3 69049.2i 0.300065 0.278420i
\(499\) 104396. + 40972.5i 0.419260 + 0.164548i 0.565587 0.824689i \(-0.308650\pi\)
−0.146326 + 0.989236i \(0.546745\pi\)
\(500\) −397982. + 317380.i −1.59193 + 1.26952i
\(501\) 95859.2 7183.66i 0.381908 0.0286200i
\(502\) −48546.9 157385.i −0.192643 0.624534i
\(503\) −39416.4 + 261511.i −0.155791 + 1.03360i 0.765137 + 0.643868i \(0.222671\pi\)
−0.920927 + 0.389735i \(0.872567\pi\)
\(504\) −30837.0 28612.6i −0.121398 0.112641i
\(505\) 75890.5 + 157588.i 0.297581 + 0.617933i
\(506\) 39426.6 + 261579.i 0.153989 + 1.02165i
\(507\) −192799. + 282784.i −0.750046 + 1.10012i
\(508\) 150354. 188537.i 0.582621 0.730584i
\(509\) −205839. 356524.i −0.794497 1.37611i −0.923158 0.384421i \(-0.874401\pi\)
0.128660 0.991689i \(-0.458932\pi\)
\(510\) −146711. 84703.9i −0.564058 0.325659i
\(511\) −160341. 408542.i −0.614048 1.56457i
\(512\) −140974. + 292736.i −0.537775 + 1.11670i
\(513\) 354741. + 109423.i 1.34796 + 0.415791i
\(514\) −95626.8 + 418968.i −0.361954 + 1.58582i
\(515\) 304184.i 1.14689i
\(516\) 287621. 443975.i 1.08024 1.66747i
\(517\) 56198.4 0.210253
\(518\) −567282. 129478.i −2.11417 0.482545i
\(519\) 100776. 326709.i 0.374131 1.21290i
\(520\) 477425. + 229916.i 1.76562 + 0.850280i
\(521\) −355348. + 139464.i −1.30912 + 0.513791i −0.914326 0.404980i \(-0.867279\pi\)
−0.394792 + 0.918770i \(0.629183\pi\)
\(522\) 23406.8 40541.7i 0.0859014 0.148786i
\(523\) −409037. + 236158.i −1.49541 + 0.863373i −0.999986 0.00528079i \(-0.998319\pi\)
−0.495420 + 0.868654i \(0.664986\pi\)
\(524\) 292393. + 233176.i 1.06489 + 0.849220i
\(525\) 56874.0 + 38776.0i 0.206346 + 0.140684i
\(526\) 233707. 35225.7i 0.844695 0.127317i
\(527\) 148257. 71396.6i 0.533818 0.257073i
\(528\) 84964.6 91570.1i 0.304769 0.328462i
\(529\) 27978.7 + 4217.11i 0.0999806 + 0.0150697i
\(530\) −566151. + 174634.i −2.01549 + 0.621696i
\(531\) −2825.07 37697.9i −0.0100194 0.133699i
\(532\) 486537. + 610098.i 1.71906 + 2.15564i
\(533\) −48726.8 + 124154.i −0.171519 + 0.437024i
\(534\) −609078. 656430.i −2.13595 2.30200i
\(535\) 112338. + 164769.i 0.392480 + 0.575662i
\(536\) −179023. 13415.9i −0.623130 0.0466971i
\(537\) −50940.6 223185.i −0.176651 0.773957i
\(538\) −475841. + 108608.i −1.64398 + 0.375229i
\(539\) 795.788 10619.1i 0.00273918 0.0365518i
\(540\) −368909. + 251518.i −1.26512 + 0.862544i
\(541\) 177836. 165007.i 0.607609 0.563779i −0.315205 0.949023i \(-0.602073\pi\)
0.922815 + 0.385245i \(0.125883\pi\)
\(542\) 448706. + 176104.i 1.52744 + 0.599475i
\(543\) −21784.6 + 17372.6i −0.0738839 + 0.0589204i
\(544\) 46301.4 3469.81i 0.156457 0.0117249i
\(545\) −35383.3 114710.i −0.119126 0.386196i
\(546\) 116260. 771336.i 0.389983 2.58737i
\(547\) −182663. 169486.i −0.610486 0.566449i 0.313157 0.949701i \(-0.398613\pi\)
−0.923643 + 0.383253i \(0.874804\pi\)
\(548\) 50473.8 + 104810.i 0.168076 + 0.349013i
\(549\) −4782.40 31729.1i −0.0158672 0.105272i
\(550\) −45254.1 + 66375.5i −0.149600 + 0.219423i
\(551\) −253830. + 318293.i −0.836066 + 1.04839i
\(552\) 228423. + 395641.i 0.749657 + 1.29844i
\(553\) −213983. 123543.i −0.699727 0.403988i
\(554\) 81730.7 + 208247.i 0.266297 + 0.678513i
\(555\) 161347. 335041.i 0.523812 1.08771i
\(556\) −265176. 81796.0i −0.857798 0.264596i
\(557\) −27135.5 + 118889.i −0.0874637 + 0.383204i −0.999647 0.0265795i \(-0.991538\pi\)
0.912183 + 0.409783i \(0.134396\pi\)
\(558\) 85291.4i 0.273928i
\(559\) 469799. 11065.4i 1.50345 0.0354116i
\(560\) −175171. −0.558580
\(561\) −86874.3 19828.5i −0.276036 0.0630034i
\(562\) 170791. 553690.i 0.540744 1.75305i
\(563\) −180550. 86948.1i −0.569613 0.274311i 0.126829 0.991925i \(-0.459520\pi\)
−0.696441 + 0.717614i \(0.745234\pi\)
\(564\) 192712. 75634.1i 0.605831 0.237771i
\(565\) 21227.1 36766.4i 0.0664957 0.115174i
\(566\) 393475. 227173.i 1.22824 0.709127i
\(567\) 268685. + 214270.i 0.835753 + 0.666491i
\(568\) 629977. + 429511.i 1.95267 + 1.33131i
\(569\) 91675.4 13817.8i 0.283158 0.0426792i −0.00592783 0.999982i \(-0.501887\pi\)
0.289086 + 0.957303i \(0.406649\pi\)
\(570\) −687998. + 331322.i −2.11757 + 1.01977i
\(571\) −385545. + 415519.i −1.18251 + 1.27444i −0.228876 + 0.973456i \(0.573505\pi\)
−0.953630 + 0.300983i \(0.902685\pi\)
\(572\) 587907. + 88612.7i 1.79687 + 0.270834i
\(573\) −134549. + 41502.7i −0.409798 + 0.126406i
\(574\) −12672.0 169096.i −0.0384611 0.513228i
\(575\) −47628.8 59724.6i −0.144057 0.180641i
\(576\) −17918.1 + 45654.5i −0.0540066 + 0.137607i
\(577\) 207167. + 223273.i 0.622257 + 0.670633i 0.962993 0.269526i \(-0.0868669\pi\)
−0.340737 + 0.940159i \(0.610676\pi\)
\(578\) −263700. 386777.i −0.789323 1.15772i
\(579\) −18504.1 1386.69i −0.0551963 0.00413639i
\(580\) −108956. 477367.i −0.323888 1.41904i
\(581\) −73002.9 + 16662.4i −0.216266 + 0.0493613i
\(582\) 3211.75 42857.8i 0.00948191 0.126527i
\(583\) −257490. + 175553.i −0.757570 + 0.516502i
\(584\) 648433. 601658.i 1.90125 1.76410i
\(585\) 47421.2 + 18611.5i 0.138567 + 0.0543837i
\(586\) −11774.9 + 9390.18i −0.0342896 + 0.0273450i
\(587\) 253111. 18968.0i 0.734572 0.0550486i 0.297809 0.954625i \(-0.403744\pi\)
0.436763 + 0.899577i \(0.356125\pi\)
\(588\) −11562.7 37485.3i −0.0334429 0.108419i
\(589\) 110550. 733449.i 0.318660 2.11417i
\(590\) −443820. 411804.i −1.27498 1.18301i
\(591\) 215342. + 447163.i 0.616531 + 1.28024i
\(592\) −45447.1 301522.i −0.129677 0.860350i
\(593\) 147739. 216693.i 0.420132 0.616220i −0.556575 0.830797i \(-0.687885\pi\)
0.976707 + 0.214577i \(0.0688373\pi\)
\(594\) −224212. + 281153.i −0.635456 + 0.796836i
\(595\) 62478.7 + 108216.i 0.176481 + 0.305674i
\(596\) −840079. 485020.i −2.36498 1.36542i
\(597\) −180780. 460620.i −0.507226 1.29239i
\(598\) −375601. + 779944.i −1.05033 + 2.18103i
\(599\) −127422. 39304.6i −0.355134 0.109544i 0.112054 0.993702i \(-0.464257\pi\)
−0.467189 + 0.884158i \(0.654733\pi\)
\(600\) −30871.9 + 135259.i −0.0857553 + 0.375719i
\(601\) 20176.2i 0.0558586i 0.999610 + 0.0279293i \(0.00889133\pi\)
−0.999610 + 0.0279293i \(0.991109\pi\)
\(602\) −532045. + 271834.i −1.46810 + 0.750086i
\(603\) −17258.8 −0.0474653
\(604\) 748619. + 170867.i 2.05204 + 0.468366i
\(605\) −55171.3 + 178861.i −0.150731 + 0.488658i
\(606\) 467557. + 225164.i 1.27318 + 0.613131i
\(607\) 316001. 124021.i 0.857651 0.336603i 0.104559 0.994519i \(-0.466657\pi\)
0.753092 + 0.657915i \(0.228562\pi\)
\(608\) 104646. 181253.i 0.283085 0.490318i
\(609\) −292638. + 168955.i −0.789036 + 0.455550i
\(610\) −401779. 320408.i −1.07976 0.861081i
\(611\) 151951. + 103598.i 0.407024 + 0.277504i
\(612\) −33169.2 + 4999.46i −0.0885590 + 0.0133481i
\(613\) −368033. + 177235.i −0.979412 + 0.471660i −0.853903 0.520432i \(-0.825771\pi\)
−0.125509 + 0.992092i \(0.540057\pi\)
\(614\) −615174. + 662999.i −1.63178 + 1.75864i
\(615\) 107160. + 16151.8i 0.283324 + 0.0427042i
\(616\) −338630. + 104454.i −0.892409 + 0.275272i
\(617\) −11709.5 156253.i −0.0307588 0.410448i −0.991237 0.132093i \(-0.957830\pi\)
0.960478 0.278354i \(-0.0897889\pi\)
\(618\) 562701. + 705604.i 1.47333 + 1.84750i
\(619\) 52241.1 133108.i 0.136342 0.347395i −0.846353 0.532622i \(-0.821207\pi\)
0.982696 + 0.185227i \(0.0593021\pi\)
\(620\) 606782. + 653956.i 1.57852 + 1.70124i
\(621\) −192629. 282535.i −0.499503 0.732637i
\(622\) 1.12559e6 + 84351.1i 2.90937 + 0.218027i
\(623\) 146978. + 643954.i 0.378684 + 1.65912i
\(624\) 398533. 90962.6i 1.02352 0.233611i
\(625\) −20343.9 + 271471.i −0.0520805 + 0.694965i
\(626\) 82278.2 56096.3i 0.209960 0.143148i
\(627\) −294441. + 273201.i −0.748967 + 0.694940i
\(628\) −487952. 191507.i −1.23725 0.485585i
\(629\) −170063. + 135621.i −0.429842 + 0.342787i
\(630\) −64587.2 + 4840.14i −0.162729 + 0.0121949i
\(631\) 92248.3 + 299062.i 0.231686 + 0.751107i 0.994523 + 0.104517i \(0.0333296\pi\)
−0.762837 + 0.646591i \(0.776194\pi\)
\(632\) 74223.7 492442.i 0.185827 1.23288i
\(633\) −134828. 125102.i −0.336491 0.312218i
\(634\) −470873. 977777.i −1.17145 2.43255i
\(635\) −25942.6 172118.i −0.0643377 0.426853i
\(636\) −646703. + 948539.i −1.59879 + 2.34499i
\(637\) 21727.2 27245.1i 0.0535458 0.0671444i
\(638\) −197181. 341527.i −0.484422 0.839043i
\(639\) 63480.0 + 36650.2i 0.155466 + 0.0897582i
\(640\) 238115. + 606707.i 0.581335 + 1.48122i
\(641\) 228700. 474900.i 0.556609 1.15581i −0.412905 0.910774i \(-0.635486\pi\)
0.969514 0.245036i \(-0.0787998\pi\)
\(642\) 565385. + 174398.i 1.37175 + 0.423128i
\(643\) −122612. + 537198.i −0.296559 + 1.29931i 0.578655 + 0.815572i \(0.303578\pi\)
−0.875214 + 0.483736i \(0.839280\pi\)
\(644\) 718794.i 1.73314i
\(645\) −93708.1 370157.i −0.225246 0.889746i
\(646\) 446670. 1.07034
\(647\) −155735. 35545.6i −0.372030 0.0849135i 0.0324178 0.999474i \(-0.489679\pi\)
−0.404448 + 0.914561i \(0.632536\pi\)
\(648\) −204163. + 661880.i −0.486213 + 1.57627i
\(649\) −286924. 138175.i −0.681205 0.328051i
\(650\) −244718. + 96044.9i −0.579215 + 0.227325i
\(651\) 307826. 533170.i 0.726345 1.25807i
\(652\) 1.19915e6 692328.i 2.82083 1.62861i
\(653\) 464668. + 370560.i 1.08972 + 0.869026i 0.992006 0.126188i \(-0.0402744\pi\)
0.0977176 + 0.995214i \(0.468846\pi\)
\(654\) −294275. 200633.i −0.688014 0.469080i
\(655\) 266929. 40233.0i 0.622175 0.0937778i
\(656\) 80062.7 38556.2i 0.186047 0.0895955i
\(657\) 57841.1 62337.9i 0.134000 0.144418i
\(658\) −231206. 34848.7i −0.534008 0.0804887i
\(659\) 715529. 220712.i 1.64762 0.508223i 0.674450 0.738320i \(-0.264381\pi\)
0.973168 + 0.230098i \(0.0739045\pi\)
\(660\) −36101.4 481739.i −0.0828774 1.10592i
\(661\) −448853. 562844.i −1.02731 1.28820i −0.956817 0.290692i \(-0.906114\pi\)
−0.0704921 0.997512i \(-0.522457\pi\)
\(662\) −45996.6 + 117197.i −0.104957 + 0.267425i
\(663\) −198340. 213760.i −0.451216 0.486295i
\(664\) −85017.3 124698.i −0.192829 0.282828i
\(665\) 561681. + 42092.2i 1.27012 + 0.0951827i
\(666\) −25088.2 109918.i −0.0565614 0.247812i
\(667\) 365599. 83445.6i 0.821776 0.187565i
\(668\) 22780.5 303985.i 0.0510518 0.681239i
\(669\) 597658. 407477.i 1.33537 0.910438i
\(670\) −202621. + 188005.i −0.451372 + 0.418812i
\(671\) −251623. 98754.8i −0.558863 0.219338i
\(672\) 135817. 108310.i 0.300756 0.239845i
\(673\) 419941. 31470.2i 0.927168 0.0694816i 0.397420 0.917637i \(-0.369906\pi\)
0.529748 + 0.848155i \(0.322287\pi\)
\(674\) −226699. 734941.i −0.499034 1.61783i
\(675\) 15477.4 102686.i 0.0339696 0.225374i
\(676\) 795613. + 738221.i 1.74104 + 1.61545i
\(677\) 275771. + 572644.i 0.601688 + 1.24942i 0.950062 + 0.312062i \(0.101020\pi\)
−0.348374 + 0.937356i \(0.613266\pi\)
\(678\) −18773.3 124553.i −0.0408396 0.270953i
\(679\) −17857.9 + 26192.7i −0.0387338 + 0.0568121i
\(680\) −157027. + 196906.i −0.339592 + 0.425835i
\(681\) 390067. + 675616.i 0.841095 + 1.45682i
\(682\) 622242. + 359252.i 1.33780 + 0.772379i
\(683\) −192802. 491251.i −0.413304 1.05308i −0.974298 0.225261i \(-0.927676\pi\)
0.560995 0.827819i \(-0.310419\pi\)
\(684\) −65604.1 + 136228.i −0.140223 + 0.291176i
\(685\) 80237.3 + 24749.9i 0.171000 + 0.0527464i
\(686\) −182498. + 799576.i −0.387802 + 1.69907i
\(687\) 370274.i 0.784529i
\(688\) −234470. 207499.i −0.495347 0.438368i
\(689\) −1.01983e6 −2.14827
\(690\) 685753. + 156519.i 1.44036 + 0.328752i
\(691\) −32856.4 + 106518.i −0.0688119 + 0.223083i −0.983446 0.181199i \(-0.942002\pi\)
0.914635 + 0.404282i \(0.132478\pi\)
\(692\) −976845. 470424.i −2.03992 0.982374i
\(693\) −31713.1 + 12446.5i −0.0660348 + 0.0259167i
\(694\) −307322. + 532297.i −0.638079 + 1.10518i
\(695\) −173469. + 100152.i −0.359130 + 0.207344i
\(696\) −532474. 424634.i −1.09921 0.876589i
\(697\) −52375.2 35708.8i −0.107810 0.0735039i
\(698\) 619921. 93438.1i 1.27241 0.191784i
\(699\) −261669. + 126013.i −0.535548 + 0.257907i
\(700\) 148472. 160015.i 0.303005 0.326562i
\(701\) −324140. 48856.3i −0.659625 0.0994224i −0.189305 0.981918i \(-0.560623\pi\)
−0.470320 + 0.882496i \(0.655861\pi\)
\(702\) −1.12452e6 + 346867.i −2.28187 + 0.703865i
\(703\) 73271.7 + 977743.i 0.148261 + 1.97840i
\(704\) 257600. + 323021.i 0.519758 + 0.651756i
\(705\) 54593.0 139101.i 0.109840 0.279867i
\(706\) −210442. 226803.i −0.422206 0.455029i
\(707\) −215630. 316271.i −0.431390 0.632733i
\(708\) −1.16987e6 87669.5i −2.33384 0.174897i
\(709\) 168341. + 737550.i 0.334886 + 1.46723i 0.809543 + 0.587061i \(0.199715\pi\)
−0.474656 + 0.880171i \(0.657428\pi\)
\(710\) 1.14450e6 261225.i 2.27039 0.518201i
\(711\) 3577.79 47742.4i 0.00707744 0.0944419i
\(712\) −1.09995e6 + 749932.i −2.16976 + 1.47932i
\(713\) −500843. + 464714.i −0.985195 + 0.914127i
\(714\) 345115. + 135448.i 0.676966 + 0.265690i
\(715\) 335521. 267569.i 0.656307 0.523387i
\(716\) −723928. + 54250.9i −1.41211 + 0.105823i
\(717\) −58353.6 189178.i −0.113509 0.367986i
\(718\) −92617.8 + 614479.i −0.179658 + 1.19195i
\(719\) −135426. 125657.i −0.261966 0.243069i 0.538244 0.842789i \(-0.319088\pi\)
−0.800210 + 0.599720i \(0.795279\pi\)
\(720\) −14726.7 30580.4i −0.0284081 0.0589899i
\(721\) −99217.0 658262.i −0.190860 1.26628i
\(722\) 635628. 932295.i 1.21935 1.78846i
\(723\) −277712. + 348240.i −0.531273 + 0.666196i
\(724\) 44179.9 + 76521.8i 0.0842844 + 0.145985i
\(725\) 98624.6 + 56940.9i 0.187633 + 0.108330i
\(726\) 202890. + 516956.i 0.384936 + 0.980800i
\(727\) 147235. 305736.i 0.278575 0.578466i −0.713994 0.700152i \(-0.753116\pi\)
0.992569 + 0.121686i \(0.0388300\pi\)
\(728\) −1.10815e6 341819.i −2.09091 0.644961i
\(729\) 101907. 446485.i 0.191757 0.840141i
\(730\) 1.36193e6i 2.55570i
\(731\) −44558.7 + 218859.i −0.0833868 + 0.409571i
\(732\) −995761. −1.85837
\(733\) 527614. + 120424.i 0.981993 + 0.224133i 0.683237 0.730196i \(-0.260571\pi\)
0.298755 + 0.954330i \(0.403429\pi\)
\(734\) −363413. + 1.17816e6i −0.674541 + 2.18681i
\(735\) −25511.0 12285.4i −0.0472229 0.0227413i
\(736\) −179458. + 70432.1i −0.331289 + 0.130021i
\(737\) −72695.1 + 125912.i −0.133835 + 0.231809i
\(738\) 28454.6 16428.3i 0.0522444 0.0301633i
\(739\) 260831. + 208006.i 0.477607 + 0.380879i 0.832497 0.554029i \(-0.186910\pi\)
−0.354891 + 0.934908i \(0.615482\pi\)
\(740\) −974342. 664295.i −1.77930 1.21310i
\(741\) −1.29974e6 + 195905.i −2.36713 + 0.356787i
\(742\) 1.16820e6 562576.i 2.12183 1.02182i
\(743\) 144064. 155264.i 0.260963 0.281251i −0.588956 0.808165i \(-0.700461\pi\)
0.849918 + 0.526914i \(0.176651\pi\)
\(744\) 1.22699e6 + 184939.i 2.21664 + 0.334105i
\(745\) −669072. + 206381.i −1.20548 + 0.371842i
\(746\) 65361.6 + 872190.i 0.117448 + 1.56723i
\(747\) −9046.25 11343.6i −0.0162117 0.0203288i
\(748\) −103237. + 263044.i −0.184515 + 0.470138i
\(749\) −296844. 319922.i −0.529133 0.570270i
\(750\) 614096. + 900714.i 1.09173 + 1.60127i
\(751\) 24914.9 + 1867.11i 0.0441752 + 0.00331047i 0.0967994 0.995304i \(-0.469139\pi\)
−0.0526242 + 0.998614i \(0.516759\pi\)
\(752\) −27265.8 119459.i −0.0482151 0.211244i
\(753\) −224581. + 51259.2i −0.396080 + 0.0904028i
\(754\) 96441.4 1.28692e6i 0.169637 2.26365i
\(755\) 457945. 312222.i 0.803377 0.547733i
\(756\) 716288. 664618.i 1.25327 1.16286i