Properties

Label 43.4.g.a.9.5
Level 43
Weight 4
Character 43.9
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.5
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.243093 + 0.304829i) q^{2} +(7.00851 + 1.05636i) q^{3} +(1.74634 - 7.65122i) q^{4} +(-2.70479 - 1.84409i) q^{5} +(1.38171 + 2.39319i) q^{6} +(-4.58307 + 7.93810i) q^{7} +(5.56708 - 2.68096i) q^{8} +(22.2028 + 6.84867i) q^{9} +O(q^{10})\) \(q+(0.243093 + 0.304829i) q^{2} +(7.00851 + 1.05636i) q^{3} +(1.74634 - 7.65122i) q^{4} +(-2.70479 - 1.84409i) q^{5} +(1.38171 + 2.39319i) q^{6} +(-4.58307 + 7.93810i) q^{7} +(5.56708 - 2.68096i) q^{8} +(22.2028 + 6.84867i) q^{9} +(-0.0953820 - 1.27278i) q^{10} +(7.09753 + 31.0963i) q^{11} +(20.3217 - 51.7789i) q^{12} +(-0.518062 + 6.91305i) q^{13} +(-3.53388 + 0.532646i) q^{14} +(-17.0085 - 15.7816i) q^{15} +(-54.3958 - 26.1956i) q^{16} +(-19.6226 + 13.3785i) q^{17} +(3.30968 + 8.43294i) q^{18} +(-70.3366 + 21.6960i) q^{19} +(-18.8330 + 17.4745i) q^{20} +(-40.5060 + 50.7929i) q^{21} +(-7.75370 + 9.72283i) q^{22} +(-66.8540 + 62.0314i) q^{23} +(41.8490 - 12.9087i) q^{24} +(-41.7524 - 106.383i) q^{25} +(-2.23324 + 1.52260i) q^{26} +(-24.0417 - 11.5779i) q^{27} +(52.7326 + 48.9287i) q^{28} +(281.468 - 42.4244i) q^{29} +(0.676037 - 9.02108i) q^{30} +(45.5752 - 116.124i) q^{31} +(-16.2377 - 71.1419i) q^{32} +(16.8941 + 225.436i) q^{33} +(-8.84828 - 2.72933i) q^{34} +(27.0348 - 13.0193i) q^{35} +(91.1744 - 157.919i) q^{36} +(-10.4795 - 18.1511i) q^{37} +(-23.7119 - 16.1665i) q^{38} +(-10.9335 + 47.9029i) q^{39} +(-20.0017 - 3.01477i) q^{40} +(125.236 + 157.041i) q^{41} -25.3299 q^{42} +(-20.2367 + 281.243i) q^{43} +250.319 q^{44} +(-47.4244 - 59.4683i) q^{45} +(-35.1607 - 5.29963i) q^{46} +(70.7049 - 309.778i) q^{47} +(-353.561 - 241.054i) q^{48} +(129.491 + 224.285i) q^{49} +(22.2790 - 38.5884i) q^{50} +(-151.658 + 73.0346i) q^{51} +(51.9886 + 16.0364i) q^{52} +(-16.7926 - 224.082i) q^{53} +(-2.31510 - 10.1431i) q^{54} +(38.1472 - 97.1974i) q^{55} +(-4.23252 + 56.4790i) q^{56} +(-515.874 + 77.7554i) q^{57} +(81.3551 + 75.4865i) q^{58} +(681.812 + 328.343i) q^{59} +(-150.451 + 102.576i) q^{60} +(-284.596 - 725.140i) q^{61} +(46.4769 - 14.3362i) q^{62} +(-156.123 + 144.861i) q^{63} +(-283.405 + 355.379i) q^{64} +(14.1496 - 17.7430i) q^{65} +(-64.6127 + 59.9518i) q^{66} +(-753.239 + 232.344i) q^{67} +(68.0939 + 173.500i) q^{68} +(-534.075 + 364.126i) q^{69} +(10.5406 + 5.07610i) q^{70} +(293.715 + 272.528i) q^{71} +(141.966 - 21.3979i) q^{72} +(28.1684 - 375.881i) q^{73} +(2.98548 - 7.60687i) q^{74} +(-180.243 - 789.695i) q^{75} +(43.1689 + 576.049i) q^{76} +(-279.374 - 86.1755i) q^{77} +(-17.2601 + 8.31202i) q^{78} +(662.435 - 1147.37i) q^{79} +(98.8219 + 171.164i) q^{80} +(-674.605 - 459.938i) q^{81} +(-17.4266 + 76.3510i) q^{82} +(1209.18 + 182.255i) q^{83} +(317.890 + 398.622i) q^{84} +77.7462 q^{85} +(-90.6504 + 62.1994i) q^{86} +2017.49 q^{87} +(122.881 + 154.087i) q^{88} +(-375.229 - 56.5567i) q^{89} +(6.59913 - 28.9127i) q^{90} +(-52.5022 - 35.7954i) q^{91} +(357.866 + 619.843i) q^{92} +(442.083 - 765.711i) q^{93} +(111.617 - 53.7521i) q^{94} +(230.255 + 71.0243i) q^{95} +(-38.6503 - 515.752i) q^{96} +(24.2978 + 106.456i) q^{97} +(-36.8902 + 93.9948i) q^{98} +(-55.3830 + 739.035i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.243093 + 0.304829i 0.0859464 + 0.107773i 0.822945 0.568120i \(-0.192329\pi\)
−0.736999 + 0.675894i \(0.763758\pi\)
\(3\) 7.00851 + 1.05636i 1.34879 + 0.203297i 0.783395 0.621524i \(-0.213486\pi\)
0.565393 + 0.824821i \(0.308724\pi\)
\(4\) 1.74634 7.65122i 0.218293 0.956402i
\(5\) −2.70479 1.84409i −0.241924 0.164941i 0.436289 0.899807i \(-0.356293\pi\)
−0.678212 + 0.734866i \(0.737245\pi\)
\(6\) 1.38171 + 2.39319i 0.0940135 + 0.162836i
\(7\) −4.58307 + 7.93810i −0.247462 + 0.428617i −0.962821 0.270140i \(-0.912930\pi\)
0.715359 + 0.698757i \(0.246263\pi\)
\(8\) 5.56708 2.68096i 0.246032 0.118483i
\(9\) 22.2028 + 6.84867i 0.822328 + 0.253654i
\(10\) −0.0953820 1.27278i −0.00301624 0.0402490i
\(11\) 7.09753 + 31.0963i 0.194544 + 0.852353i 0.974117 + 0.226043i \(0.0725788\pi\)
−0.779573 + 0.626311i \(0.784564\pi\)
\(12\) 20.3217 51.7789i 0.488864 1.24561i
\(13\) −0.518062 + 6.91305i −0.0110527 + 0.147487i −1.00000 0.000781787i \(-0.999751\pi\)
0.988947 + 0.148269i \(0.0473702\pi\)
\(14\) −3.53388 + 0.532646i −0.0674620 + 0.0101683i
\(15\) −17.0085 15.7816i −0.292772 0.271653i
\(16\) −54.3958 26.1956i −0.849934 0.409307i
\(17\) −19.6226 + 13.3785i −0.279952 + 0.190868i −0.695153 0.718861i \(-0.744664\pi\)
0.415201 + 0.909730i \(0.363711\pi\)
\(18\) 3.30968 + 8.43294i 0.0433389 + 0.110426i
\(19\) −70.3366 + 21.6960i −0.849280 + 0.261968i −0.688693 0.725053i \(-0.741815\pi\)
−0.160588 + 0.987022i \(0.551339\pi\)
\(20\) −18.8330 + 17.4745i −0.210560 + 0.195371i
\(21\) −40.5060 + 50.7929i −0.420911 + 0.527806i
\(22\) −7.75370 + 9.72283i −0.0751406 + 0.0942234i
\(23\) −66.8540 + 62.0314i −0.606088 + 0.562367i −0.922375 0.386296i \(-0.873754\pi\)
0.316287 + 0.948664i \(0.397564\pi\)
\(24\) 41.8490 12.9087i 0.355933 0.109791i
\(25\) −41.7524 106.383i −0.334019 0.851068i
\(26\) −2.23324 + 1.52260i −0.0168451 + 0.0114848i
\(27\) −24.0417 11.5779i −0.171364 0.0825246i
\(28\) 52.7326 + 48.9287i 0.355911 + 0.330238i
\(29\) 281.468 42.4244i 1.80232 0.271656i 0.839805 0.542888i \(-0.182669\pi\)
0.962514 + 0.271232i \(0.0874310\pi\)
\(30\) 0.676037 9.02108i 0.00411423 0.0549006i
\(31\) 45.5752 116.124i 0.264050 0.672788i −0.735941 0.677046i \(-0.763260\pi\)
0.999991 + 0.00425728i \(0.00135514\pi\)
\(32\) −16.2377 71.1419i −0.0897014 0.393007i
\(33\) 16.8941 + 225.436i 0.0891178 + 1.18919i
\(34\) −8.84828 2.72933i −0.0446314 0.0137670i
\(35\) 27.0348 13.0193i 0.130563 0.0628760i
\(36\) 91.1744 157.919i 0.422104 0.731105i
\(37\) −10.4795 18.1511i −0.0465629 0.0806492i 0.841805 0.539782i \(-0.181493\pi\)
−0.888368 + 0.459133i \(0.848160\pi\)
\(38\) −23.7119 16.1665i −0.101226 0.0690146i
\(39\) −10.9335 + 47.9029i −0.0448914 + 0.196682i
\(40\) −20.0017 3.01477i −0.0790637 0.0119169i
\(41\) 125.236 + 157.041i 0.477037 + 0.598186i 0.960879 0.276970i \(-0.0893302\pi\)
−0.483841 + 0.875156i \(0.660759\pi\)
\(42\) −25.3299 −0.0930592
\(43\) −20.2367 + 281.243i −0.0717690 + 0.997421i
\(44\) 250.319 0.857660
\(45\) −47.4244 59.4683i −0.157103 0.197000i
\(46\) −35.1607 5.29963i −0.112699 0.0169867i
\(47\) 70.7049 309.778i 0.219433 0.961401i −0.738465 0.674292i \(-0.764449\pi\)
0.957898 0.287109i \(-0.0926940\pi\)
\(48\) −353.561 241.054i −1.06317 0.724857i
\(49\) 129.491 + 224.285i 0.377525 + 0.653892i
\(50\) 22.2790 38.5884i 0.0630147 0.109145i
\(51\) −151.658 + 73.0346i −0.416399 + 0.200527i
\(52\) 51.9886 + 16.0364i 0.138645 + 0.0427662i
\(53\) −16.7926 224.082i −0.0435216 0.580756i −0.975750 0.218886i \(-0.929758\pi\)
0.932229 0.361870i \(-0.117861\pi\)
\(54\) −2.31510 10.1431i −0.00583417 0.0255612i
\(55\) 38.1472 97.1974i 0.0935230 0.238293i
\(56\) −4.23252 + 56.4790i −0.0100999 + 0.134774i
\(57\) −515.874 + 77.7554i −1.19876 + 0.180684i
\(58\) 81.3551 + 75.4865i 0.184180 + 0.170894i
\(59\) 681.812 + 328.343i 1.50448 + 0.724519i 0.991035 0.133603i \(-0.0426548\pi\)
0.513445 + 0.858123i \(0.328369\pi\)
\(60\) −150.451 + 102.576i −0.323719 + 0.220708i
\(61\) −284.596 725.140i −0.597358 1.52204i −0.834750 0.550630i \(-0.814388\pi\)
0.237392 0.971414i \(-0.423708\pi\)
\(62\) 46.4769 14.3362i 0.0952028 0.0293662i
\(63\) −156.123 + 144.861i −0.312216 + 0.289694i
\(64\) −283.405 + 355.379i −0.553526 + 0.694100i
\(65\) 14.1496 17.7430i 0.0270006 0.0338577i
\(66\) −64.6127 + 59.9518i −0.120504 + 0.111812i
\(67\) −753.239 + 232.344i −1.37348 + 0.423661i −0.891697 0.452632i \(-0.850485\pi\)
−0.481778 + 0.876293i \(0.660009\pi\)
\(68\) 68.0939 + 173.500i 0.121435 + 0.309412i
\(69\) −534.075 + 364.126i −0.931812 + 0.635299i
\(70\) 10.5406 + 5.07610i 0.0179978 + 0.00866729i
\(71\) 293.715 + 272.528i 0.490952 + 0.455537i 0.886379 0.462961i \(-0.153213\pi\)
−0.395427 + 0.918497i \(0.629403\pi\)
\(72\) 141.966 21.3979i 0.232373 0.0350246i
\(73\) 28.1684 375.881i 0.0451625 0.602652i −0.928007 0.372563i \(-0.878479\pi\)
0.973170 0.230089i \(-0.0739018\pi\)
\(74\) 2.98548 7.60687i 0.00468993 0.0119497i
\(75\) −180.243 789.695i −0.277502 1.21582i
\(76\) 43.1689 + 576.049i 0.0651555 + 0.869439i
\(77\) −279.374 86.1755i −0.413476 0.127540i
\(78\) −17.2601 + 8.31202i −0.0250554 + 0.0120660i
\(79\) 662.435 1147.37i 0.943415 1.63404i 0.184520 0.982829i \(-0.440927\pi\)
0.758895 0.651213i \(-0.225740\pi\)
\(80\) 98.8219 + 171.164i 0.138108 + 0.239210i
\(81\) −674.605 459.938i −0.925385 0.630917i
\(82\) −17.4266 + 76.3510i −0.0234689 + 0.102824i
\(83\) 1209.18 + 182.255i 1.59909 + 0.241024i 0.887241 0.461305i \(-0.152619\pi\)
0.711852 + 0.702330i \(0.247857\pi\)
\(84\) 317.890 + 398.622i 0.412913 + 0.517776i
\(85\) 77.7462 0.0992090
\(86\) −90.6504 + 62.1994i −0.113664 + 0.0779900i
\(87\) 2017.49 2.48617
\(88\) 122.881 + 154.087i 0.148853 + 0.186656i
\(89\) −375.229 56.5567i −0.446901 0.0673595i −0.0782636 0.996933i \(-0.524938\pi\)
−0.368638 + 0.929573i \(0.620176\pi\)
\(90\) 6.59913 28.9127i 0.00772899 0.0338629i
\(91\) −52.5022 35.7954i −0.0604805 0.0412349i
\(92\) 357.866 + 619.843i 0.405545 + 0.702425i
\(93\) 442.083 765.711i 0.492924 0.853769i
\(94\) 111.617 53.7521i 0.122473 0.0589798i
\(95\) 230.255 + 71.0243i 0.248670 + 0.0767046i
\(96\) −38.6503 515.752i −0.0410909 0.548320i
\(97\) 24.2978 + 106.456i 0.0254337 + 0.111432i 0.986051 0.166441i \(-0.0532276\pi\)
−0.960618 + 0.277873i \(0.910370\pi\)
\(98\) −36.8902 + 93.9948i −0.0380253 + 0.0968868i
\(99\) −55.3830 + 739.035i −0.0562243 + 0.750261i
\(100\) −886.877 + 133.675i −0.886877 + 0.133675i
\(101\) −406.978 377.620i −0.400949 0.372026i 0.453769 0.891119i \(-0.350079\pi\)
−0.854717 + 0.519094i \(0.826270\pi\)
\(102\) −59.1301 28.4755i −0.0573995 0.0276421i
\(103\) −145.772 + 99.3858i −0.139450 + 0.0950755i −0.631036 0.775754i \(-0.717370\pi\)
0.491586 + 0.870829i \(0.336417\pi\)
\(104\) 15.6495 + 39.8744i 0.0147554 + 0.0375962i
\(105\) 203.227 62.6872i 0.188885 0.0582633i
\(106\) 64.2246 59.5917i 0.0588495 0.0546044i
\(107\) −719.404 + 902.104i −0.649976 + 0.815044i −0.992211 0.124571i \(-0.960245\pi\)
0.342235 + 0.939614i \(0.388816\pi\)
\(108\) −130.570 + 163.729i −0.116334 + 0.145878i
\(109\) −980.461 + 909.735i −0.861570 + 0.799420i −0.981118 0.193408i \(-0.938046\pi\)
0.119548 + 0.992828i \(0.461855\pi\)
\(110\) 38.9019 11.9997i 0.0337196 0.0104011i
\(111\) −54.2718 138.282i −0.0464077 0.118245i
\(112\) 457.243 311.743i 0.385762 0.263008i
\(113\) −1341.82 646.188i −1.11706 0.537949i −0.218079 0.975931i \(-0.569979\pi\)
−0.898984 + 0.437982i \(0.855693\pi\)
\(114\) −149.107 138.351i −0.122502 0.113665i
\(115\) 295.218 44.4969i 0.239384 0.0360814i
\(116\) 166.940 2227.66i 0.133621 1.78304i
\(117\) −58.8477 + 149.941i −0.0464997 + 0.118479i
\(118\) 65.6551 + 287.654i 0.0512207 + 0.224413i
\(119\) −16.2680 217.081i −0.0125318 0.167225i
\(120\) −136.997 42.2581i −0.104218 0.0321468i
\(121\) 282.584 136.085i 0.212310 0.102243i
\(122\) 151.860 263.030i 0.112695 0.195193i
\(123\) 711.824 + 1232.92i 0.521813 + 0.903807i
\(124\) −808.899 551.498i −0.585816 0.399403i
\(125\) −174.306 + 763.683i −0.124723 + 0.546447i
\(126\) −82.1100 12.3761i −0.0580551 0.00875040i
\(127\) 571.745 + 716.945i 0.399481 + 0.500934i 0.940367 0.340163i \(-0.110482\pi\)
−0.540885 + 0.841096i \(0.681911\pi\)
\(128\) −760.996 −0.525493
\(129\) −438.923 + 1949.72i −0.299574 + 1.33072i
\(130\) 8.84824 0.00596956
\(131\) −527.646 661.647i −0.351913 0.441285i 0.574095 0.818789i \(-0.305354\pi\)
−0.926008 + 0.377504i \(0.876783\pi\)
\(132\) 1754.37 + 264.428i 1.15680 + 0.174360i
\(133\) 150.132 657.773i 0.0978807 0.428843i
\(134\) −253.932 173.128i −0.163705 0.111612i
\(135\) 43.6770 + 75.6509i 0.0278453 + 0.0482295i
\(136\) −73.3734 + 127.087i −0.0462627 + 0.0801293i
\(137\) −1547.82 + 745.389i −0.965247 + 0.464839i −0.849006 0.528382i \(-0.822799\pi\)
−0.116241 + 0.993221i \(0.537084\pi\)
\(138\) −240.826 74.2850i −0.148554 0.0458229i
\(139\) 0.595518 + 7.94663i 0.000363390 + 0.00484910i 0.997383 0.0723053i \(-0.0230356\pi\)
−0.997019 + 0.0771544i \(0.975417\pi\)
\(140\) −52.4014 229.585i −0.0316338 0.138597i
\(141\) 822.775 2096.40i 0.491419 1.25212i
\(142\) −11.6743 + 155.783i −0.00689919 + 0.0920633i
\(143\) −218.647 + 32.9558i −0.127862 + 0.0192720i
\(144\) −1028.34 954.156i −0.595102 0.552174i
\(145\) −839.545 404.304i −0.480831 0.231556i
\(146\) 121.427 82.7876i 0.0688314 0.0469284i
\(147\) 670.613 + 1708.69i 0.376267 + 0.958712i
\(148\) −157.179 + 48.4833i −0.0872974 + 0.0269277i
\(149\) −395.873 + 367.316i −0.217659 + 0.201958i −0.781465 0.623949i \(-0.785527\pi\)
0.563806 + 0.825907i \(0.309337\pi\)
\(150\) 196.906 246.913i 0.107182 0.134402i
\(151\) 408.264 511.947i 0.220027 0.275905i −0.659551 0.751660i \(-0.729254\pi\)
0.879578 + 0.475755i \(0.157825\pi\)
\(152\) −333.403 + 309.353i −0.177912 + 0.165078i
\(153\) −527.303 + 162.651i −0.278627 + 0.0859450i
\(154\) −41.6451 106.110i −0.0217913 0.0555233i
\(155\) −337.414 + 230.045i −0.174850 + 0.119211i
\(156\) 347.422 + 167.310i 0.178308 + 0.0858686i
\(157\) 1078.16 + 1000.39i 0.548069 + 0.508534i 0.904894 0.425638i \(-0.139950\pi\)
−0.356825 + 0.934171i \(0.616141\pi\)
\(158\) 510.785 76.9885i 0.257189 0.0387650i
\(159\) 119.021 1588.22i 0.0593645 0.792165i
\(160\) −87.2729 + 222.368i −0.0431220 + 0.109873i
\(161\) −186.016 814.988i −0.0910565 0.398944i
\(162\) −23.7894 317.447i −0.0115375 0.153957i
\(163\) 2586.41 + 797.803i 1.24284 + 0.383367i 0.845337 0.534233i \(-0.179399\pi\)
0.397506 + 0.917599i \(0.369876\pi\)
\(164\) 1420.26 683.960i 0.676240 0.325660i
\(165\) 370.031 640.912i 0.174587 0.302393i
\(166\) 238.387 + 412.898i 0.111460 + 0.193055i
\(167\) 1117.01 + 761.566i 0.517587 + 0.352885i 0.793768 0.608221i \(-0.208117\pi\)
−0.276181 + 0.961106i \(0.589069\pi\)
\(168\) −89.3260 + 391.363i −0.0410217 + 0.179728i
\(169\) 2124.94 + 320.283i 0.967200 + 0.145782i
\(170\) 18.8996 + 23.6993i 0.00852665 + 0.0106921i
\(171\) −1710.26 −0.764836
\(172\) 2116.51 + 645.981i 0.938270 + 0.286370i
\(173\) −166.666 −0.0732451 −0.0366226 0.999329i \(-0.511660\pi\)
−0.0366226 + 0.999329i \(0.511660\pi\)
\(174\) 490.437 + 614.988i 0.213678 + 0.267943i
\(175\) 1035.84 + 156.127i 0.447439 + 0.0674406i
\(176\) 428.511 1877.43i 0.183524 0.804072i
\(177\) 4431.63 + 3021.44i 1.88193 + 1.28308i
\(178\) −73.9755 128.129i −0.0311500 0.0539534i
\(179\) −403.132 + 698.245i −0.168332 + 0.291560i −0.937834 0.347085i \(-0.887172\pi\)
0.769501 + 0.638645i \(0.220505\pi\)
\(180\) −537.824 + 259.003i −0.222706 + 0.107250i
\(181\) −3793.28 1170.07i −1.55775 0.480501i −0.608109 0.793853i \(-0.708072\pi\)
−0.949637 + 0.313352i \(0.898548\pi\)
\(182\) −1.85145 24.7058i −0.000754056 0.0100622i
\(183\) −1228.59 5382.79i −0.496283 2.17436i
\(184\) −205.877 + 524.567i −0.0824863 + 0.210172i
\(185\) −5.12738 + 68.4201i −0.00203769 + 0.0271911i
\(186\) 340.878 51.3791i 0.134379 0.0202543i
\(187\) −555.293 515.237i −0.217150 0.201486i
\(188\) −2246.71 1081.96i −0.871585 0.419733i
\(189\) 202.091 137.783i 0.0777776 0.0530279i
\(190\) 34.3231 + 87.4540i 0.0131056 + 0.0333925i
\(191\) −2658.89 + 820.158i −1.00728 + 0.310704i −0.754132 0.656723i \(-0.771942\pi\)
−0.253147 + 0.967428i \(0.581466\pi\)
\(192\) −2361.66 + 2191.30i −0.887698 + 0.823664i
\(193\) 1815.77 2276.90i 0.677211 0.849196i −0.317883 0.948130i \(-0.602972\pi\)
0.995094 + 0.0989342i \(0.0315433\pi\)
\(194\) −26.5442 + 33.2853i −0.00982350 + 0.0123183i
\(195\) 117.910 109.405i 0.0433012 0.0401777i
\(196\) 1942.19 599.086i 0.707795 0.218326i
\(197\) 1098.85 + 2799.83i 0.397411 + 1.01259i 0.979854 + 0.199715i \(0.0640016\pi\)
−0.582443 + 0.812871i \(0.697903\pi\)
\(198\) −238.743 + 162.772i −0.0856904 + 0.0584227i
\(199\) −961.139 462.860i −0.342379 0.164881i 0.254790 0.966996i \(-0.417994\pi\)
−0.597169 + 0.802115i \(0.703708\pi\)
\(200\) −517.649 480.308i −0.183017 0.169815i
\(201\) −5524.52 + 832.688i −1.93866 + 0.292205i
\(202\) 16.1761 215.856i 0.00563440 0.0751859i
\(203\) −953.216 + 2428.75i −0.329570 + 0.839730i
\(204\) 293.957 + 1287.91i 0.100888 + 0.442019i
\(205\) −49.1385 655.708i −0.0167414 0.223398i
\(206\) −65.7319 20.2756i −0.0222318 0.00685761i
\(207\) −1909.18 + 919.413i −0.641050 + 0.308713i
\(208\) 209.272 362.470i 0.0697616 0.120831i
\(209\) −1173.88 2033.22i −0.388512 0.672923i
\(210\) 68.5120 + 46.7107i 0.0225132 + 0.0153492i
\(211\) −456.342 + 1999.36i −0.148890 + 0.652331i 0.844304 + 0.535864i \(0.180014\pi\)
−0.993195 + 0.116467i \(0.962843\pi\)
\(212\) −1743.83 262.840i −0.564937 0.0851505i
\(213\) 1770.62 + 2220.28i 0.569581 + 0.714232i
\(214\) −449.870 −0.143703
\(215\) 573.374 723.384i 0.181878 0.229462i
\(216\) −164.882 −0.0519388
\(217\) 712.928 + 893.984i 0.223026 + 0.279666i
\(218\) −515.657 77.7228i −0.160205 0.0241470i
\(219\) 594.486 2604.61i 0.183432 0.803668i
\(220\) −677.061 461.612i −0.207488 0.141463i
\(221\) −82.3204 142.583i −0.0250564 0.0433990i
\(222\) 28.9594 50.1591i 0.00875507 0.0151642i
\(223\) 250.381 120.577i 0.0751871 0.0362082i −0.395912 0.918288i \(-0.629572\pi\)
0.471099 + 0.882080i \(0.343857\pi\)
\(224\) 639.150 + 197.152i 0.190647 + 0.0588069i
\(225\) −198.437 2647.96i −0.0587963 0.784582i
\(226\) −129.211 566.111i −0.0380310 0.166625i
\(227\) −1076.55 + 2743.01i −0.314772 + 0.802026i 0.682682 + 0.730715i \(0.260813\pi\)
−0.997454 + 0.0713105i \(0.977282\pi\)
\(228\) −305.967 + 4082.85i −0.0888736 + 1.18594i
\(229\) 6093.46 918.441i 1.75837 0.265032i 0.810972 0.585086i \(-0.198939\pi\)
0.947399 + 0.320054i \(0.103701\pi\)
\(230\) 85.3293 + 79.1741i 0.0244628 + 0.0226982i
\(231\) −1866.96 899.082i −0.531763 0.256083i
\(232\) 1453.21 990.785i 0.411242 0.280380i
\(233\) 1713.94 + 4367.04i 0.481904 + 1.22787i 0.940672 + 0.339316i \(0.110196\pi\)
−0.458768 + 0.888556i \(0.651709\pi\)
\(234\) −60.0120 + 18.5112i −0.0167654 + 0.00517144i
\(235\) −762.502 + 707.499i −0.211660 + 0.196392i
\(236\) 3702.90 4643.29i 1.02135 1.28073i
\(237\) 5854.72 7341.59i 1.60466 2.01218i
\(238\) 62.2179 57.7298i 0.0169453 0.0157230i
\(239\) −3827.79 + 1180.72i −1.03598 + 0.319557i −0.765682 0.643219i \(-0.777598\pi\)
−0.270298 + 0.962777i \(0.587122\pi\)
\(240\) 511.782 + 1304.00i 0.137648 + 0.350720i
\(241\) −3535.62 + 2410.55i −0.945018 + 0.644303i −0.934622 0.355643i \(-0.884262\pi\)
−0.0103965 + 0.999946i \(0.503309\pi\)
\(242\) 110.177 + 53.0585i 0.0292663 + 0.0140939i
\(243\) −3713.97 3446.06i −0.980458 0.909732i
\(244\) −6045.21 + 911.168i −1.58609 + 0.239064i
\(245\) 63.3568 845.437i 0.0165213 0.220461i
\(246\) −202.789 + 516.698i −0.0525583 + 0.133916i
\(247\) −113.547 497.481i −0.0292502 0.128154i
\(248\) −57.6027 768.655i −0.0147491 0.196813i
\(249\) 8282.02 + 2554.67i 2.10784 + 0.650182i
\(250\) −275.165 + 132.513i −0.0696119 + 0.0335233i
\(251\) 1567.80 2715.52i 0.394259 0.682876i −0.598748 0.800938i \(-0.704335\pi\)
0.993006 + 0.118062i \(0.0376681\pi\)
\(252\) 835.717 + 1447.50i 0.208910 + 0.361842i
\(253\) −2403.45 1638.64i −0.597247 0.407196i
\(254\) −79.5586 + 348.569i −0.0196533 + 0.0861069i
\(255\) 544.885 + 82.1282i 0.133812 + 0.0201689i
\(256\) 2082.25 + 2611.06i 0.508362 + 0.637466i
\(257\) −6613.98 −1.60533 −0.802663 0.596432i \(-0.796584\pi\)
−0.802663 + 0.596432i \(0.796584\pi\)
\(258\) −701.029 + 340.166i −0.169163 + 0.0820845i
\(259\) 192.114 0.0460902
\(260\) −111.046 139.247i −0.0264875 0.0332143i
\(261\) 6539.94 + 985.737i 1.55100 + 0.233776i
\(262\) 73.4222 321.684i 0.0173131 0.0758537i
\(263\) 6135.75 + 4183.28i 1.43858 + 0.980807i 0.996479 + 0.0838413i \(0.0267189\pi\)
0.442100 + 0.896966i \(0.354233\pi\)
\(264\) 698.437 + 1209.73i 0.162825 + 0.282021i
\(265\) −367.808 + 637.062i −0.0852614 + 0.147677i
\(266\) 237.005 114.135i 0.0546304 0.0263086i
\(267\) −2570.05 792.756i −0.589081 0.181707i
\(268\) 462.299 + 6168.95i 0.105371 + 1.40608i
\(269\) −1077.01 4718.69i −0.244113 1.06953i −0.937232 0.348707i \(-0.886621\pi\)
0.693118 0.720824i \(-0.256236\pi\)
\(270\) −12.4430 + 31.7042i −0.00280465 + 0.00714614i
\(271\) 491.398 6557.25i 0.110149 1.46983i −0.618953 0.785428i \(-0.712443\pi\)
0.729102 0.684405i \(-0.239938\pi\)
\(272\) 1417.85 213.706i 0.316064 0.0476390i
\(273\) −330.149 306.334i −0.0731925 0.0679127i
\(274\) −603.480 290.621i −0.133057 0.0640768i
\(275\) 3011.79 2053.41i 0.660429 0.450273i
\(276\) 1853.33 + 4722.21i 0.404194 + 1.02987i
\(277\) −829.604 + 255.899i −0.179950 + 0.0555072i −0.383421 0.923574i \(-0.625254\pi\)
0.203471 + 0.979081i \(0.434778\pi\)
\(278\) −2.27760 + 2.11330i −0.000491372 + 0.000455926i
\(279\) 1807.19 2266.15i 0.387791 0.486275i
\(280\) 115.601 144.959i 0.0246731 0.0309391i
\(281\) 1108.55 1028.58i 0.235340 0.218363i −0.553683 0.832728i \(-0.686778\pi\)
0.789022 + 0.614364i \(0.210587\pi\)
\(282\) 839.053 258.814i 0.177180 0.0546529i
\(283\) 106.494 + 271.342i 0.0223689 + 0.0569951i 0.941622 0.336672i \(-0.109301\pi\)
−0.919253 + 0.393667i \(0.871206\pi\)
\(284\) 2598.10 1771.35i 0.542847 0.370107i
\(285\) 1538.72 + 741.007i 0.319810 + 0.154012i
\(286\) −63.1975 58.6388i −0.0130663 0.0121237i
\(287\) −1820.57 + 274.407i −0.374442 + 0.0564380i
\(288\) 126.705 1690.76i 0.0259242 0.345934i
\(289\) −1588.86 + 4048.34i −0.323398 + 0.824006i
\(290\) −80.8442 354.201i −0.0163701 0.0717221i
\(291\) 57.8356 + 771.763i 0.0116508 + 0.155469i
\(292\) −2826.76 871.940i −0.566519 0.174748i
\(293\) 1856.52 894.052i 0.370167 0.178263i −0.239547 0.970885i \(-0.576999\pi\)
0.609714 + 0.792622i \(0.291284\pi\)
\(294\) −357.838 + 619.794i −0.0709848 + 0.122949i
\(295\) −1238.66 2145.42i −0.244466 0.423428i
\(296\) −107.003 72.9533i −0.0210115 0.0143254i
\(297\) 189.392 829.782i 0.0370022 0.162117i
\(298\) −208.203 31.3815i −0.0404727 0.00610027i
\(299\) −394.192 494.301i −0.0762432 0.0956060i
\(300\) −6356.90 −1.22339
\(301\) −2139.79 1449.59i −0.409752 0.277586i
\(302\) 255.302 0.0486457
\(303\) −2453.40 3076.47i −0.465163 0.583296i
\(304\) 4394.35 + 662.342i 0.829057 + 0.124960i
\(305\) −567.453 + 2486.17i −0.106532 + 0.466747i
\(306\) −177.765 121.198i −0.0332096 0.0226419i
\(307\) −2623.86 4544.67i −0.487791 0.844879i 0.512110 0.858920i \(-0.328864\pi\)
−0.999901 + 0.0140409i \(0.995530\pi\)
\(308\) −1147.23 + 1987.06i −0.212239 + 0.367608i
\(309\) −1126.63 + 542.558i −0.207417 + 0.0998869i
\(310\) −152.148 46.9313i −0.0278755 0.00859845i
\(311\) 498.590 + 6653.23i 0.0909083 + 1.21309i 0.836985 + 0.547226i \(0.184316\pi\)
−0.746076 + 0.665860i \(0.768065\pi\)
\(312\) 67.5582 + 295.992i 0.0122587 + 0.0537091i
\(313\) −2362.33 + 6019.11i −0.426602 + 1.08696i 0.542445 + 0.840091i \(0.317499\pi\)
−0.969048 + 0.246874i \(0.920597\pi\)
\(314\) −42.8538 + 571.844i −0.00770184 + 0.102774i
\(315\) 689.415 103.913i 0.123315 0.0185867i
\(316\) −7621.95 7072.14i −1.35686 1.25898i
\(317\) −6998.04 3370.08i −1.23990 0.597105i −0.305116 0.952315i \(-0.598695\pi\)
−0.934787 + 0.355210i \(0.884409\pi\)
\(318\) 513.069 349.805i 0.0904764 0.0616858i
\(319\) 3316.97 + 8451.50i 0.582177 + 1.48336i
\(320\) 1421.90 438.599i 0.248396 0.0766202i
\(321\) −5994.90 + 5562.45i −1.04238 + 0.967183i
\(322\) 203.213 254.821i 0.0351696 0.0441013i
\(323\) 1089.93 1366.73i 0.187756 0.235439i
\(324\) −4697.18 + 4358.35i −0.805415 + 0.747316i
\(325\) 757.065 233.524i 0.129214 0.0398571i
\(326\) 385.546 + 982.355i 0.0655012 + 0.166894i
\(327\) −7832.58 + 5340.16i −1.32460 + 0.903094i
\(328\) 1118.22 + 538.505i 0.188241 + 0.0906523i
\(329\) 2135.01 + 1981.00i 0.357771 + 0.331963i
\(330\) 285.321 43.0051i 0.0475951 0.00717380i
\(331\) −54.1964 + 723.201i −0.00899971 + 0.120093i −0.999894 0.0145481i \(-0.995369\pi\)
0.990894 + 0.134641i \(0.0429881\pi\)
\(332\) 3506.11 8933.42i 0.579587 1.47676i
\(333\) −108.365 474.777i −0.0178329 0.0781310i
\(334\) 39.3905 + 525.629i 0.00645315 + 0.0861113i
\(335\) 2465.82 + 760.604i 0.402155 + 0.124048i
\(336\) 3533.90 1701.84i 0.573781 0.276318i
\(337\) 2332.65 4040.26i 0.377054 0.653077i −0.613578 0.789634i \(-0.710270\pi\)
0.990632 + 0.136557i \(0.0436037\pi\)
\(338\) 418.927 + 725.602i 0.0674160 + 0.116768i
\(339\) −8721.58 5946.27i −1.39732 0.952676i
\(340\) 135.771 594.853i 0.0216566 0.0948837i
\(341\) 3934.49 + 593.029i 0.624823 + 0.0941769i
\(342\) −415.753 521.337i −0.0657349 0.0824289i
\(343\) −5517.85 −0.868617
\(344\) 641.342 + 1619.95i 0.100520 + 0.253901i
\(345\) 2116.04 0.330214
\(346\) −40.5154 50.8048i −0.00629516 0.00789387i
\(347\) 9008.56 + 1357.82i 1.39367 + 0.210062i 0.802582 0.596542i \(-0.203459\pi\)
0.591092 + 0.806604i \(0.298697\pi\)
\(348\) 3523.22 15436.2i 0.542713 2.37778i
\(349\) 1374.54 + 937.145i 0.210824 + 0.143737i 0.664129 0.747618i \(-0.268803\pi\)
−0.453305 + 0.891355i \(0.649755\pi\)
\(350\) 204.213 + 353.707i 0.0311875 + 0.0540183i
\(351\) 92.4935 160.204i 0.0140654 0.0243619i
\(352\) 2097.00 1009.86i 0.317530 0.152915i
\(353\) 3292.55 + 1015.62i 0.496444 + 0.153133i 0.532859 0.846204i \(-0.321118\pi\)
−0.0364149 + 0.999337i \(0.511594\pi\)
\(354\) 156.278 + 2085.38i 0.0234635 + 0.313098i
\(355\) −291.871 1278.77i −0.0436363 0.191183i
\(356\) −1088.01 + 2772.19i −0.161978 + 0.412713i
\(357\) 115.302 1538.60i 0.0170936 0.228099i
\(358\) −310.844 + 46.8522i −0.0458900 + 0.00691680i
\(359\) 5432.36 + 5040.49i 0.798632 + 0.741022i 0.969716 0.244234i \(-0.0785367\pi\)
−0.171085 + 0.985256i \(0.554727\pi\)
\(360\) −423.448 203.922i −0.0619935 0.0298545i
\(361\) −1190.65 + 811.770i −0.173589 + 0.118351i
\(362\) −565.448 1440.74i −0.0820974 0.209181i
\(363\) 2124.25 655.245i 0.307147 0.0947422i
\(364\) −365.565 + 339.195i −0.0526396 + 0.0488424i
\(365\) −769.350 + 964.734i −0.110328 + 0.138347i
\(366\) 1342.17 1683.03i 0.191684 0.240364i
\(367\) −1421.64 + 1319.09i −0.202204 + 0.187618i −0.774775 0.632237i \(-0.782137\pi\)
0.572570 + 0.819856i \(0.305946\pi\)
\(368\) 5261.53 1622.97i 0.745315 0.229899i
\(369\) 1705.07 + 4344.45i 0.240548 + 0.612908i
\(370\) −22.1029 + 15.0695i −0.00310560 + 0.00211737i
\(371\) 1855.75 + 893.682i 0.259692 + 0.125061i
\(372\) −5086.59 4719.67i −0.708945 0.657805i
\(373\) 6042.54 910.766i 0.838795 0.126428i 0.284425 0.958698i \(-0.408197\pi\)
0.554370 + 0.832270i \(0.312959\pi\)
\(374\) 22.0712 294.520i 0.00305154 0.0407200i
\(375\) −2028.35 + 5168.15i −0.279316 + 0.711685i
\(376\) −436.885 1914.12i −0.0599218 0.262535i
\(377\) 147.465 + 1967.78i 0.0201454 + 0.268822i
\(378\) 91.1273 + 28.1091i 0.0123997 + 0.00382480i
\(379\) 7280.78 3506.24i 0.986777 0.475207i 0.130346 0.991469i \(-0.458391\pi\)
0.856431 + 0.516262i \(0.172677\pi\)
\(380\) 945.526 1637.70i 0.127643 0.221085i
\(381\) 3249.72 + 5628.69i 0.436977 + 0.756867i
\(382\) −896.365 611.131i −0.120058 0.0818539i
\(383\) −1368.67 + 5996.55i −0.182600 + 0.800025i 0.797786 + 0.602940i \(0.206004\pi\)
−0.980387 + 0.197084i \(0.936853\pi\)
\(384\) −5333.45 803.888i −0.708779 0.106831i
\(385\) 596.732 + 748.278i 0.0789929 + 0.0990540i
\(386\) 1135.47 0.149725
\(387\) −2375.45 + 6105.79i −0.312018 + 0.802002i
\(388\) 856.948 0.112126
\(389\) −54.4921 68.3310i −0.00710247 0.00890621i 0.778268 0.627933i \(-0.216099\pi\)
−0.785370 + 0.619027i \(0.787527\pi\)
\(390\) 62.0130 + 9.34695i 0.00805167 + 0.00121359i
\(391\) 481.965 2111.62i 0.0623376 0.273119i
\(392\) 1322.19 + 901.451i 0.170358 + 0.116148i
\(393\) −2999.07 5194.54i −0.384944 0.666743i
\(394\) −586.346 + 1015.58i −0.0749738 + 0.129858i
\(395\) −3907.61 + 1881.80i −0.497754 + 0.239706i
\(396\) 5557.80 + 1714.35i 0.705278 + 0.217549i
\(397\) −867.739 11579.2i −0.109699 1.46383i −0.732133 0.681161i \(-0.761475\pi\)
0.622434 0.782672i \(-0.286144\pi\)
\(398\) −92.5530 405.501i −0.0116564 0.0510702i
\(399\) 1747.05 4451.42i 0.219203 0.558520i
\(400\) −515.625 + 6880.54i −0.0644532 + 0.860068i
\(401\) 3801.92 573.048i 0.473464 0.0713632i 0.0920238 0.995757i \(-0.470666\pi\)
0.381440 + 0.924394i \(0.375428\pi\)
\(402\) −1596.80 1481.62i −0.198112 0.183822i
\(403\) 779.159 + 375.223i 0.0963094 + 0.0463801i
\(404\) −3599.98 + 2454.42i −0.443331 + 0.302258i
\(405\) 976.496 + 2488.07i 0.119809 + 0.305267i
\(406\) −972.075 + 299.845i −0.118826 + 0.0366529i
\(407\) 490.053 454.703i 0.0596831 0.0553778i
\(408\) −648.488 + 813.178i −0.0786886 + 0.0986724i
\(409\) 1214.97 1523.53i 0.146886 0.184190i −0.702945 0.711244i \(-0.748132\pi\)
0.849832 + 0.527054i \(0.176704\pi\)
\(410\) 187.934 174.377i 0.0226375 0.0210046i
\(411\) −11635.3 + 3589.01i −1.39641 + 0.430737i
\(412\) 505.855 + 1288.90i 0.0604895 + 0.154125i
\(413\) −5731.21 + 3907.47i −0.682843 + 0.465555i
\(414\) −744.373 358.471i −0.0883670 0.0425553i
\(415\) −2934.48 2722.80i −0.347104 0.322065i
\(416\) 500.220 75.3960i 0.0589551 0.00888605i
\(417\) −4.22084 + 56.3231i −0.000495672 + 0.00661428i
\(418\) 334.423 852.095i 0.0391319 0.0997065i
\(419\) −3771.08 16522.2i −0.439688 1.92640i −0.370614 0.928787i \(-0.620853\pi\)
−0.0690739 0.997612i \(-0.522004\pi\)
\(420\) −124.730 1664.41i −0.0144910 0.193368i
\(421\) 7928.81 + 2445.71i 0.917878 + 0.283128i 0.717474 0.696586i \(-0.245298\pi\)
0.200404 + 0.979713i \(0.435775\pi\)
\(422\) −720.398 + 346.925i −0.0831005 + 0.0400191i
\(423\) 3691.42 6393.73i 0.424310 0.734926i
\(424\) −694.242 1202.46i −0.0795174 0.137728i
\(425\) 2242.54 + 1528.94i 0.255951 + 0.174505i
\(426\) −246.382 + 1079.47i −0.0280217 + 0.122771i
\(427\) 7060.56 + 1064.21i 0.800198 + 0.120610i
\(428\) 5645.87 + 7079.70i 0.637625 + 0.799556i
\(429\) −1567.21 −0.176376
\(430\) 359.892 1.06856i 0.0403617 0.000119838i
\(431\) 12548.3 1.40239 0.701197 0.712968i \(-0.252649\pi\)
0.701197 + 0.712968i \(0.252649\pi\)
\(432\) 1004.48 + 1259.57i 0.111870 + 0.140281i
\(433\) −13832.4 2084.90i −1.53521 0.231395i −0.673647 0.739053i \(-0.735273\pi\)
−0.861559 + 0.507658i \(0.830511\pi\)
\(434\) −99.2043 + 434.642i −0.0109723 + 0.0480726i
\(435\) −5456.87 3720.43i −0.601464 0.410071i
\(436\) 5248.36 + 9090.43i 0.576493 + 0.998515i
\(437\) 3356.45 5813.54i 0.367416 0.636383i
\(438\) 938.477 451.947i 0.102379 0.0493033i
\(439\) −13616.2 4200.05i −1.48034 0.456623i −0.553743 0.832688i \(-0.686801\pi\)
−0.926594 + 0.376064i \(0.877277\pi\)
\(440\) −48.2144 643.377i −0.00522394 0.0697086i
\(441\) 1339.01 + 5866.61i 0.144586 + 0.633474i
\(442\) 23.4520 59.7546i 0.00252375 0.00643040i
\(443\) 76.7630 1024.33i 0.00823277 0.109859i −0.991573 0.129546i \(-0.958648\pi\)
0.999806 + 0.0196873i \(0.00626706\pi\)
\(444\) −1152.81 + 173.757i −0.123220 + 0.0185724i
\(445\) 910.620 + 844.931i 0.0970056 + 0.0900081i
\(446\) 97.6212 + 47.0119i 0.0103643 + 0.00499120i
\(447\) −3162.50 + 2156.15i −0.334633 + 0.228149i
\(448\) −1522.17 3878.43i −0.160526 0.409014i
\(449\) −14311.0 + 4414.35i −1.50418 + 0.463978i −0.933919 0.357485i \(-0.883634\pi\)
−0.570261 + 0.821463i \(0.693158\pi\)
\(450\) 758.938 704.191i 0.0795037 0.0737687i
\(451\) −3994.52 + 5008.97i −0.417061 + 0.522978i
\(452\) −7287.41 + 9138.12i −0.758343 + 0.950932i
\(453\) 3402.12 3156.71i 0.352860 0.327406i
\(454\) −1097.85 + 338.642i −0.113491 + 0.0350072i
\(455\) 75.9973 + 193.638i 0.00783035 + 0.0199514i
\(456\) −2663.45 + 1815.91i −0.273525 + 0.186486i
\(457\) 2090.95 + 1006.95i 0.214028 + 0.103070i 0.537826 0.843056i \(-0.319246\pi\)
−0.323799 + 0.946126i \(0.604960\pi\)
\(458\) 1761.24 + 1634.20i 0.179689 + 0.166727i
\(459\) 626.656 94.4532i 0.0637250 0.00960500i
\(460\) 175.095 2336.48i 0.0177475 0.236824i
\(461\) 2438.67 6213.62i 0.246377 0.627760i −0.753170 0.657825i \(-0.771476\pi\)
0.999548 + 0.0300658i \(0.00957169\pi\)
\(462\) −179.780 787.666i −0.0181041 0.0793193i
\(463\) 1178.64 + 15727.9i 0.118307 + 1.57870i 0.668532 + 0.743683i \(0.266923\pi\)
−0.550225 + 0.835016i \(0.685458\pi\)
\(464\) −16422.0 5065.51i −1.64304 0.506812i
\(465\) −2607.78 + 1255.84i −0.260071 + 0.125244i
\(466\) −914.554 + 1584.05i −0.0909140 + 0.157468i
\(467\) −4750.42 8227.96i −0.470713 0.815299i 0.528726 0.848793i \(-0.322670\pi\)
−0.999439 + 0.0334935i \(0.989337\pi\)
\(468\) 1044.47 + 712.105i 0.103163 + 0.0703356i
\(469\) 1607.78 7044.14i 0.158295 0.693535i
\(470\) −401.025 60.4448i −0.0393573 0.00593215i
\(471\) 6499.55 + 8150.18i 0.635846 + 0.797326i
\(472\) 4675.97 0.455994
\(473\) −8889.24 + 1366.84i −0.864118 + 0.132870i
\(474\) 3661.17 0.354775
\(475\) 5244.82 + 6576.79i 0.506629 + 0.635292i
\(476\) −1689.34 254.627i −0.162670 0.0245186i
\(477\) 1161.82 5090.27i 0.111522 0.488611i
\(478\) −1290.43 879.797i −0.123478 0.0841862i
\(479\) 1154.91 + 2000.36i 0.110165 + 0.190812i 0.915837 0.401551i \(-0.131529\pi\)
−0.805672 + 0.592362i \(0.798195\pi\)
\(480\) −846.554 + 1466.27i −0.0804994 + 0.139429i
\(481\) 130.909 63.0422i 0.0124094 0.00597605i
\(482\) −1594.29 491.773i −0.150660 0.0464723i
\(483\) −442.770 5908.35i −0.0417116 0.556603i
\(484\) −547.731 2399.77i −0.0514398 0.225373i
\(485\) 130.594 332.747i 0.0122267 0.0311532i
\(486\) 147.619 1969.84i 0.0137781 0.183856i
\(487\) −17056.8 + 2570.89i −1.58710 + 0.239216i −0.882472 0.470364i \(-0.844123\pi\)
−0.704624 + 0.709580i \(0.748885\pi\)
\(488\) −3528.44 3273.92i −0.327306 0.303695i
\(489\) 17284.1 + 8323.60i 1.59840 + 0.769747i
\(490\) 273.115 186.207i 0.0251798 0.0171673i
\(491\) −5439.73 13860.2i −0.499983 1.27394i −0.928812 0.370550i \(-0.879169\pi\)
0.428830 0.903385i \(-0.358926\pi\)
\(492\) 10676.4 3293.23i 0.978311 0.301769i
\(493\) −4955.56 + 4598.09i −0.452713 + 0.420056i
\(494\) 124.044 155.546i 0.0112976 0.0141667i
\(495\) 1512.65 1896.80i 0.137351 0.172232i
\(496\) −5521.03 + 5122.77i −0.499802 + 0.463748i
\(497\) −3509.47 + 1082.53i −0.316743 + 0.0977022i
\(498\) 1234.57 + 3145.62i 0.111089 + 0.283050i
\(499\) 13494.8 9200.62i 1.21064 0.825403i 0.221907 0.975068i \(-0.428772\pi\)
0.988737 + 0.149664i \(0.0478194\pi\)
\(500\) 5538.71 + 2667.30i 0.495397 + 0.238571i
\(501\) 7024.10 + 6517.41i 0.626375 + 0.581191i
\(502\) 1208.89 182.211i 0.107481 0.0162001i
\(503\) 1309.95 17480.0i 0.116118 1.54949i −0.569781 0.821797i \(-0.692972\pi\)
0.685899 0.727696i \(-0.259409\pi\)
\(504\) −480.780 + 1225.01i −0.0424914 + 0.108266i
\(505\) 404.422 + 1771.89i 0.0356367 + 0.156135i
\(506\) −84.7555 1130.98i −0.00744633 0.0993643i
\(507\) 14554.3 + 4489.41i 1.27491 + 0.393258i
\(508\) 6483.97 3122.51i 0.566298 0.272715i
\(509\) 6220.15 10773.6i 0.541657 0.938178i −0.457152 0.889389i \(-0.651130\pi\)
0.998809 0.0487890i \(-0.0155362\pi\)
\(510\) 107.423 + 186.062i 0.00932698 + 0.0161548i
\(511\) 2854.69 + 1946.29i 0.247131 + 0.168491i
\(512\) −1644.45 + 7204.79i −0.141943 + 0.621894i
\(513\) 1942.21 + 292.740i 0.167155 + 0.0251945i
\(514\) −1607.81 2016.13i −0.137972 0.173011i
\(515\) 577.560 0.0494181
\(516\) 14151.2 + 6763.17i 1.20731 + 0.577000i
\(517\) 10134.8 0.862143
\(518\) 46.7015 + 58.5618i 0.00396129 + 0.00496730i
\(519\) −1168.08 176.060i −0.0987922 0.0148905i
\(520\) 31.2034 136.711i 0.00263146 0.0115292i
\(521\) 3545.79 + 2417.48i 0.298165 + 0.203285i 0.703157 0.711035i \(-0.251773\pi\)
−0.404992 + 0.914320i \(0.632726\pi\)
\(522\) 1289.33 + 2233.19i 0.108108 + 0.187249i
\(523\) 4620.81 8003.48i 0.386337 0.669155i −0.605617 0.795756i \(-0.707074\pi\)
0.991954 + 0.126602i \(0.0404070\pi\)
\(524\) −5983.85 + 2881.67i −0.498866 + 0.240241i
\(525\) 7094.75 + 2188.44i 0.589791 + 0.181926i
\(526\) 216.372 + 2887.28i 0.0179359 + 0.239337i
\(527\) 659.254 + 2888.38i 0.0544925 + 0.238747i
\(528\) 4986.48 12705.3i 0.411001 1.04721i
\(529\) −287.684 + 3838.88i −0.0236446 + 0.315516i
\(530\) −283.607 + 42.7468i −0.0232436 + 0.00350340i
\(531\) 12889.4 + 11959.7i 1.05340 + 0.977410i
\(532\) −4770.59 2297.39i −0.388780 0.187227i
\(533\) −1150.51 + 784.405i −0.0934974 + 0.0637455i
\(534\) −383.107 976.140i −0.0310462 0.0791044i
\(535\) 3609.40 1113.35i 0.291678 0.0899709i
\(536\) −3570.44 + 3312.88i −0.287723 + 0.266968i
\(537\) −3562.95 + 4467.80i −0.286318 + 0.359031i
\(538\) 1176.58 1475.39i 0.0942863 0.118231i
\(539\) −6055.37 + 5618.56i −0.483902 + 0.448996i
\(540\) 655.096 202.070i 0.0522053 0.0161032i
\(541\) −5773.74 14711.3i −0.458840 1.16911i −0.953867 0.300228i \(-0.902937\pi\)
0.495027 0.868877i \(-0.335158\pi\)
\(542\) 2118.30 1444.23i 0.167876 0.114456i
\(543\) −25349.2 12207.5i −2.00339 0.964779i
\(544\) 1270.40 + 1178.76i 0.100125 + 0.0929021i
\(545\) 4329.58 652.579i 0.340291 0.0512906i
\(546\) 13.1224 175.107i 0.00102855 0.0137251i
\(547\) −2663.34 + 6786.08i −0.208183 + 0.530442i −0.996383 0.0849774i \(-0.972918\pi\)
0.788200 + 0.615420i \(0.211013\pi\)
\(548\) 3000.12 + 13144.4i 0.233866 + 1.02464i
\(549\) −1352.61 18049.3i −0.105151 1.40314i
\(550\) 1358.08 + 418.913i 0.105289 + 0.0324773i
\(551\) −18877.1 + 9090.71i −1.45951 + 0.702862i
\(552\) −1997.03 + 3458.95i −0.153984 + 0.266708i
\(553\) 6071.97 + 10517.0i 0.466919 + 0.808727i
\(554\) −279.677 190.680i −0.0214482 0.0146232i
\(555\) −108.212 + 474.107i −0.00827628 + 0.0362607i
\(556\) 61.8414 + 9.32109i 0.00471701 + 0.000710975i
\(557\) −12504.2 15679.8i −0.951205 1.19277i −0.981155 0.193223i \(-0.938106\pi\)
0.0299495 0.999551i \(-0.490465\pi\)
\(558\) 1130.10 0.0857368
\(559\) −1933.76 285.598i −0.146314 0.0216092i
\(560\) −1811.63 −0.136706
\(561\) −3347.50 4197.64i −0.251928 0.315908i
\(562\) 583.023 + 87.8765i 0.0437604 + 0.00659581i
\(563\) −5440.47 + 23836.2i −0.407262 + 1.78433i 0.189467 + 0.981887i \(0.439324\pi\)
−0.596728 + 0.802443i \(0.703533\pi\)
\(564\) −14603.1 9956.25i −1.09025 0.743322i
\(565\) 2437.72 + 4222.25i 0.181514 + 0.314392i
\(566\) −56.8250 + 98.4238i −0.00422002 + 0.00730930i
\(567\) 6742.80 3247.16i 0.499420 0.240508i
\(568\) 2365.77 + 729.744i 0.174763 + 0.0539073i
\(569\) −1198.48 15992.5i −0.0883000 1.17828i −0.848717 0.528847i \(-0.822625\pi\)
0.760417 0.649435i \(-0.224995\pi\)
\(570\) 148.171 + 649.180i 0.0108881 + 0.0477038i
\(571\) 3756.73 9571.99i 0.275331 0.701533i −0.724592 0.689178i \(-0.757972\pi\)
0.999924 0.0123553i \(-0.00393290\pi\)
\(572\) −129.681 + 1730.47i −0.00947942 + 0.126494i
\(573\) −19501.2 + 2939.34i −1.42177 + 0.214298i
\(574\) −526.215 488.256i −0.0382644 0.0355042i
\(575\) 9390.44 + 4522.20i 0.681058 + 0.327980i
\(576\) −8726.28 + 5949.48i −0.631241 + 0.430373i
\(577\) −4665.85 11888.4i −0.336641 0.857747i −0.994513 0.104617i \(-0.966638\pi\)
0.657872 0.753130i \(-0.271457\pi\)
\(578\) −1620.29 + 499.794i −0.116601 + 0.0359666i
\(579\) 15131.0 14039.6i 1.08605 1.00771i
\(580\) −4559.55 + 5717.49i −0.326422 + 0.409321i
\(581\) −6988.50 + 8763.31i −0.499022 + 0.625754i
\(582\) −221.196 + 205.240i −0.0157541 + 0.0146177i
\(583\) 6848.94 2112.62i 0.486542 0.150078i
\(584\) −850.908 2168.08i −0.0602925 0.153623i
\(585\) 435.676 297.039i 0.0307915 0.0209933i
\(586\) 723.840 + 348.583i 0.0510265 + 0.0245731i
\(587\) 13066.4 + 12123.8i 0.918753 + 0.852478i 0.989429 0.145021i \(-0.0463250\pi\)
−0.0706753 + 0.997499i \(0.522515\pi\)
\(588\) 14244.7 2147.04i 0.999051 0.150583i
\(589\) −686.189 + 9156.55i −0.0480032 + 0.640559i
\(590\) 352.878 899.117i 0.0246233 0.0627391i
\(591\) 4743.68 + 20783.4i 0.330167 + 1.44656i
\(592\) 94.5634 + 1261.86i 0.00656509 + 0.0876050i
\(593\) −23511.5 7252.35i −1.62817 0.502223i −0.659735 0.751498i \(-0.729331\pi\)
−0.968433 + 0.249275i \(0.919808\pi\)
\(594\) 298.982 143.982i 0.0206521 0.00994555i
\(595\) −356.316 + 617.157i −0.0245505 + 0.0425227i
\(596\) 2119.09 + 3670.37i 0.145640 + 0.252255i
\(597\) −6247.20 4259.27i −0.428277 0.291994i
\(598\) 54.8520 240.323i 0.00375095 0.0164340i
\(599\) 9530.71 + 1436.52i 0.650107 + 0.0979879i 0.465813 0.884883i \(-0.345762\pi\)
0.184294 + 0.982871i \(0.441000\pi\)
\(600\) −3120.57 3913.07i −0.212328 0.266251i
\(601\) 8521.21 0.578348 0.289174 0.957276i \(-0.406619\pi\)
0.289174 + 0.957276i \(0.406619\pi\)
\(602\) −78.2889 1004.66i −0.00530036 0.0680178i
\(603\) −18315.3 −1.23691
\(604\) −3204.05 4017.75i −0.215846 0.270662i
\(605\) −1015.29 153.030i −0.0682268 0.0102835i
\(606\) 341.392 1495.74i 0.0228847 0.100264i
\(607\) 3928.90 + 2678.68i 0.262717 + 0.179117i 0.687514 0.726171i \(-0.258702\pi\)
−0.424797 + 0.905289i \(0.639654\pi\)
\(608\) 2685.60 + 4651.59i 0.179137 + 0.310274i
\(609\) −9246.27 + 16015.0i −0.615234 + 1.06562i
\(610\) −895.802 + 431.395i −0.0594589 + 0.0286339i
\(611\) 2104.89 + 649.271i 0.139369 + 0.0429897i
\(612\) 323.631 + 4318.56i 0.0213758 + 0.285241i
\(613\) −311.594 1365.18i −0.0205305 0.0899498i 0.963625 0.267259i \(-0.0861179\pi\)
−0.984155 + 0.177309i \(0.943261\pi\)
\(614\) 747.503 1904.61i 0.0491316 0.125185i
\(615\) 348.278 4647.45i 0.0228356 0.304720i
\(616\) −1786.33 + 269.246i −0.116840 + 0.0176108i
\(617\) −10121.1 9391.02i −0.660390 0.612752i 0.277068 0.960850i \(-0.410637\pi\)
−0.937458 + 0.348098i \(0.886828\pi\)
\(618\) −439.264 211.539i −0.0285919 0.0137691i
\(619\) 14590.9 9947.93i 0.947430 0.645947i 0.0121766 0.999926i \(-0.496124\pi\)
0.935253 + 0.353979i \(0.115172\pi\)
\(620\) 1170.89 + 2983.37i 0.0758450 + 0.193250i
\(621\) 2325.48 717.314i 0.150271 0.0463524i
\(622\) −1906.89 + 1769.34i −0.122925 + 0.114058i
\(623\) 2168.65 2719.40i 0.139463 0.174881i
\(624\) 1849.59 2319.31i 0.118658 0.148793i
\(625\) −8592.20 + 7972.40i −0.549901 + 0.510233i
\(626\) −2409.06 + 743.098i −0.153811 + 0.0474444i
\(627\) −6079.33 15489.9i −0.387217 0.986614i
\(628\) 9537.05 6502.25i 0.606003 0.413166i
\(629\) 448.470 + 215.972i 0.0284287 + 0.0136906i
\(630\) 199.268 + 184.893i 0.0126016 + 0.0116926i
\(631\) 500.504 75.4388i 0.0315765 0.00475939i −0.133235 0.991084i \(-0.542537\pi\)
0.164811 + 0.986325i \(0.447298\pi\)
\(632\) 611.767 8163.46i 0.0385044 0.513806i
\(633\) −5310.33 + 13530.5i −0.333439 + 0.849588i
\(634\) −673.877 2952.45i −0.0422131 0.184948i
\(635\) −224.334 2993.54i −0.0140196 0.187078i
\(636\) −11944.0 3684.23i −0.744669 0.229700i
\(637\) −1617.58 + 778.985i −0.100613 + 0.0484529i
\(638\) −1769.93 + 3065.61i −0.109831 + 0.190233i
\(639\) 4654.86 + 8062.45i 0.288174 + 0.499132i
\(640\) 2058.33 + 1403.35i 0.127129 + 0.0866753i
\(641\) 1434.06 6283.01i 0.0883648 0.387151i −0.911335 0.411666i \(-0.864947\pi\)
0.999699 + 0.0245148i \(0.00780408\pi\)
\(642\) −3152.92 475.226i −0.193825 0.0292144i
\(643\) 4311.94 + 5407.01i 0.264458 + 0.331620i 0.896276 0.443497i \(-0.146262\pi\)
−0.631818 + 0.775117i \(0.717691\pi\)
\(644\) −6560.50 −0.401428
\(645\) 4782.65 4464.15i 0.291964 0.272521i
\(646\) 681.573 0.0415111
\(647\) 989.068 + 1240.25i 0.0600994 + 0.0753622i 0.810973 0.585084i \(-0.198939\pi\)
−0.750873 + 0.660446i \(0.770367\pi\)
\(648\) −4988.66 751.919i −0.302427 0.0455836i
\(649\) −5371.08 + 23532.2i −0.324859 + 1.42330i
\(650\) 255.222 + 174.007i 0.0154010 + 0.0105002i
\(651\) 4052.19 + 7018.60i 0.243960 + 0.422551i
\(652\) 10620.9 18396.0i 0.637956 1.10497i
\(653\) −3592.16 + 1729.89i −0.215271 + 0.103669i −0.538412 0.842682i \(-0.680976\pi\)
0.323141 + 0.946351i \(0.395261\pi\)
\(654\) −3531.88 1089.44i −0.211174 0.0651385i
\(655\) 207.031 + 2762.64i 0.0123502 + 0.164802i
\(656\) −2698.52 11823.0i −0.160609 0.703673i
\(657\) 3199.71 8152.72i 0.190004 0.484122i
\(658\) −84.8601 + 1132.38i −0.00502765 + 0.0670893i
\(659\) 20308.0 3060.94i 1.20044 0.180937i 0.481775 0.876295i \(-0.339992\pi\)
0.718663 + 0.695358i \(0.244754\pi\)
\(660\) −4257.56 3950.44i −0.251099 0.232986i
\(661\) −2324.41 1119.38i −0.136776 0.0658680i 0.364244 0.931304i \(-0.381327\pi\)
−0.501020 + 0.865436i \(0.667042\pi\)
\(662\) −233.628 + 159.285i −0.0137163 + 0.00935162i
\(663\) −426.324 1086.26i −0.0249729 0.0636300i
\(664\) 7220.21 2227.14i 0.421986 0.130165i
\(665\) −1619.07 + 1502.28i −0.0944134 + 0.0876028i
\(666\) 118.383 148.448i 0.00688776 0.00863698i
\(667\) −16185.6 + 20296.1i −0.939593 + 1.17821i
\(668\) 7777.59 7216.55i 0.450485 0.417989i
\(669\) 1882.17 580.572i 0.108773 0.0335519i
\(670\) 367.569 + 936.550i 0.0211947 + 0.0540031i
\(671\) 20529.2 13996.6i 1.18111 0.805265i
\(672\) 4271.23 + 2056.91i 0.245188 + 0.118076i
\(673\) 583.660 + 541.557i 0.0334301 + 0.0310186i 0.696711 0.717352i \(-0.254646\pi\)
−0.663281 + 0.748371i \(0.730837\pi\)
\(674\) 1798.64 271.101i 0.102791 0.0154932i
\(675\) −227.895 + 3041.04i −0.0129951 + 0.173407i
\(676\) 6161.42 15699.1i 0.350559 0.893210i
\(677\) 1213.70 + 5317.55i 0.0689012 + 0.301876i 0.997624 0.0689000i \(-0.0219490\pi\)
−0.928722 + 0.370776i \(0.879092\pi\)
\(678\) −307.559 4104.09i −0.0174214 0.232473i
\(679\) −956.414 295.015i −0.0540557 0.0166740i
\(680\) 432.819 208.435i 0.0244086 0.0117546i
\(681\) −10442.6 + 18087.2i −0.587610 + 1.01777i
\(682\) 775.675 + 1343.51i 0.0435515 + 0.0754334i
\(683\) 24293.2 + 16562.8i 1.36098 + 0.927903i 0.999989 0.00466511i \(-0.00148496\pi\)
0.360994 + 0.932568i \(0.382437\pi\)
\(684\) −2986.70 + 13085.6i −0.166958 + 0.731491i
\(685\) 5561.08 + 838.198i 0.310187 + 0.0467532i
\(686\) −1341.35 1682.00i −0.0746545 0.0936138i
\(687\) 43676.3 2.42555
\(688\) 8468.12 14768.3i 0.469250 0.818367i
\(689\) 1557.79 0.0861352
\(690\) 514.395 + 645.031i 0.0283807 + 0.0355883i
\(691\) −20910.7 3151.78i −1.15120 0.173516i −0.454412 0.890792i \(-0.650150\pi\)
−0.696789 + 0.717276i \(0.745389\pi\)
\(692\) −291.056 + 1275.20i −0.0159889 + 0.0700518i
\(693\) −5612.71 3826.68i −0.307661 0.209760i
\(694\) 1776.01 + 3076.15i 0.0971421 + 0.168255i
\(695\) 13.0436 22.5921i 0.000711901 0.00123305i
\(696\) 11231.5 5408.80i 0.611679 0.294569i
\(697\) −4558.42 1406.09i −0.247722 0.0764122i
\(698\) 48.4720 + 646.813i 0.00262850 + 0.0350748i
\(699\) 7398.96 + 32417.0i 0.400364 + 1.75411i
\(700\) 3003.49 7652.76i 0.162173 0.413210i
\(701\) −672.018 + 8967.46i −0.0362080 + 0.483162i 0.949395 + 0.314085i \(0.101698\pi\)
−0.985603 + 0.169077i \(0.945921\pi\)
\(702\) 71.3192 10.7496i 0.00383443 0.000577948i
\(703\) 1130.90 + 1049.32i 0.0606724 + 0.0562958i
\(704\) −13062.5 6290.55i −0.699304 0.336767i
\(705\) −6091.38 + 4153.03i −0.325411 + 0.221861i
\(706\) 490.807 + 1250.55i 0.0261639 + 0.0666647i
\(707\) 4862.79 1499.97i 0.258676 0.0797911i
\(708\) 30856.8 28630.9i 1.63795 1.51980i
\(709\) 9337.95 11709.4i 0.494632 0.620249i −0.470377 0.882465i \(-0.655882\pi\)
0.965009 + 0.262217i \(0.0844536\pi\)
\(710\) 318.854 399.830i 0.0168541 0.0211343i
\(711\) 22565.9 20938.1i 1.19028 1.10442i
\(712\) −2240.56 + 691.120i −0.117933 + 0.0363775i
\(713\) 4156.44 + 10590.4i 0.218317 + 0.556262i
\(714\) 497.039 338.875i 0.0260521 0.0177620i
\(715\) 652.168 + 314.068i 0.0341115 + 0.0164272i
\(716\) 4638.42 + 4303.82i 0.242103 + 0.224639i
\(717\) −28074.4 + 4231.53i −1.46228 + 0.220404i
\(718\) −215.920 + 2881.25i −0.0112229 + 0.149759i
\(719\) 3660.65 9327.17i 0.189874 0.483790i −0.803959 0.594685i \(-0.797277\pi\)
0.993832 + 0.110895i \(0.0353719\pi\)
\(720\) 1021.88 + 4477.14i 0.0528932 + 0.231740i
\(721\) −120.851 1612.65i −0.00624235 0.0832983i
\(722\) −536.890 165.609i −0.0276745 0.00853644i
\(723\) −27325.8 + 13159.4i −1.40561 + 0.676908i
\(724\) −15576.8 + 26979.8i −0.799597 + 1.38494i
\(725\) −16265.2 28172.2i −0.833207 1.44316i
\(726\) 716.128 + 488.248i 0.0366088 + 0.0249595i
\(727\) 2110.19 9245.32i 0.107651 0.471651i −0.892151 0.451738i \(-0.850804\pi\)
0.999802 0.0199125i \(-0.00633877\pi\)
\(728\) −388.250 58.5193i −0.0197658 0.00297921i
\(729\) −8644.35 10839.7i −0.439178 0.550712i
\(730\) −481.103 −0.0243923
\(731\) −3365.50 5789.46i −0.170284 0.292929i
\(732\) −43330.4 −2.18789
\(733\) 7340.58 + 9204.80i 0.369892 + 0.463829i 0.931589 0.363513i \(-0.118423\pi\)
−0.561697 + 0.827343i \(0.689851\pi\)
\(734\) −747.688 112.696i −0.0375990 0.00566713i
\(735\) 1337.12 5858.33i 0.0671028 0.293997i
\(736\) 5498.59 + 3748.88i 0.275381 + 0.187752i
\(737\) −12571.2 21773.9i −0.628310 1.08827i
\(738\) −909.823 + 1575.86i −0.0453808 + 0.0786019i
\(739\) −14743.7 + 7100.21i −0.733907 + 0.353431i −0.763219 0.646139i \(-0.776382\pi\)
0.0293125 + 0.999570i \(0.490668\pi\)
\(740\) 514.543 + 158.716i 0.0255608 + 0.00788446i
\(741\) −270.273 3606.54i −0.0133991 0.178799i
\(742\) 178.700 + 782.934i 0.00884134 + 0.0387364i
\(743\) −9318.90 + 23744.2i −0.460131 + 1.17239i 0.493052 + 0.870000i \(0.335881\pi\)
−0.953183 + 0.302394i \(0.902214\pi\)
\(744\) 408.269 5447.98i 0.0201181 0.268458i
\(745\) 1748.12 263.486i 0.0859679 0.0129576i
\(746\) 1746.53 + 1620.54i 0.0857170 + 0.0795338i
\(747\) 25599.0 + 12327.8i 1.25384 + 0.603818i
\(748\) −4911.92 + 3348.89i −0.240104 + 0.163700i
\(749\) −3863.92 9845.10i −0.188497 0.480283i
\(750\) −2068.48 + 638.041i −0.100707 + 0.0310640i
\(751\) 391.986 363.710i 0.0190463 0.0176724i −0.670592 0.741826i \(-0.733960\pi\)
0.689638 + 0.724154i \(0.257769\pi\)
\(752\) −11960.9 + 14998.5i −0.580012 + 0.727312i
\(753\) 13856.5 17375.6i 0.670598 0.840904i
\(754\) −563.989 + 523.305i −0.0272404 + 0.0252754i
\(755\) −2048.34 + 631.831i −0.0987376 + 0.0304565i
\(756\) −701.291 1786.86i −0.0337377 0.0859623i
\(757\) −22334.1 + 15227.2i −1.07232