Properties

Label 162.3.h.a.11.2
Level $162$
Weight $3$
Character 162.11
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 162.11
Dual form 162.3.h.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02866 - 0.970492i) q^{2} +(-2.72678 + 1.25087i) q^{3} +(0.116290 + 1.99662i) q^{4} +(0.295075 - 2.52452i) q^{5} +(4.01889 + 1.35959i) q^{6} +(-6.23888 + 3.13328i) q^{7} +(1.81808 - 2.16670i) q^{8} +(5.87063 - 6.82170i) q^{9} +O(q^{10})\) \(q+(-1.02866 - 0.970492i) q^{2} +(-2.72678 + 1.25087i) q^{3} +(0.116290 + 1.99662i) q^{4} +(0.295075 - 2.52452i) q^{5} +(4.01889 + 1.35959i) q^{6} +(-6.23888 + 3.13328i) q^{7} +(1.81808 - 2.16670i) q^{8} +(5.87063 - 6.82170i) q^{9} +(-2.75356 + 2.31051i) q^{10} +(10.3778 + 4.47654i) q^{11} +(-2.81461 - 5.29887i) q^{12} +(5.22076 - 1.23734i) q^{13} +(9.45853 + 2.83170i) q^{14} +(2.35326 + 7.25292i) q^{15} +(-3.97295 + 0.464372i) q^{16} +(26.6621 - 4.70125i) q^{17} +(-12.6593 + 1.31982i) q^{18} +(4.51377 - 25.5989i) q^{19} +(5.07482 + 0.295575i) q^{20} +(13.0927 - 16.3478i) q^{21} +(-6.33079 - 14.6764i) q^{22} +(0.334113 - 0.665273i) q^{23} +(-2.24723 + 8.18230i) q^{24} +(18.0400 + 4.27555i) q^{25} +(-6.57123 - 3.79390i) q^{26} +(-7.47483 + 25.9447i) q^{27} +(-6.98148 - 12.0923i) q^{28} +(29.3530 - 8.78772i) q^{29} +(4.61820 - 9.74462i) q^{30} +(-2.15112 + 1.41481i) q^{31} +(4.53749 + 3.37804i) q^{32} +(-33.8975 + 0.774761i) q^{33} +(-31.9888 - 21.0394i) q^{34} +(6.06912 + 16.6748i) q^{35} +(14.3030 + 10.9281i) q^{36} +(-55.2668 - 20.1155i) q^{37} +(-29.4867 + 21.9520i) q^{38} +(-12.6881 + 9.90446i) q^{39} +(-4.93342 - 5.22912i) q^{40} +(18.9929 - 17.9189i) q^{41} +(-29.3334 + 4.11000i) q^{42} +(39.2683 + 52.7465i) q^{43} +(-7.73111 + 21.2411i) q^{44} +(-15.4893 - 16.8335i) q^{45} +(-0.989331 + 0.360087i) q^{46} +(-26.6495 + 40.5186i) q^{47} +(10.2525 - 6.23590i) q^{48} +(-0.154599 + 0.207663i) q^{49} +(-14.4076 - 21.9057i) q^{50} +(-66.8209 + 46.1701i) q^{51} +(3.07762 + 10.2800i) q^{52} +(16.6439 - 9.60938i) q^{53} +(32.8682 - 19.4340i) q^{54} +(14.3634 - 24.8781i) q^{55} +(-4.55388 + 19.2143i) q^{56} +(19.7129 + 75.4486i) q^{57} +(-38.7227 - 19.4473i) q^{58} +(87.7875 - 37.8678i) q^{59} +(-14.2076 + 5.54199i) q^{60} +(-2.75461 + 47.2949i) q^{61} +(3.58583 + 0.632279i) q^{62} +(-15.2519 + 60.9542i) q^{63} +(-1.38919 - 7.87846i) q^{64} +(-1.58319 - 13.5450i) q^{65} +(35.6210 + 32.1003i) q^{66} +(-0.127901 + 0.427218i) q^{67} +(12.4871 + 52.6873i) q^{68} +(-0.0788791 + 2.23198i) q^{69} +(9.93966 - 23.0427i) q^{70} +(-42.0686 - 50.1354i) q^{71} +(-4.10732 - 25.1223i) q^{72} +(-75.1252 - 63.0375i) q^{73} +(37.3289 + 74.3279i) q^{74} +(-54.5392 + 10.9072i) q^{75} +(51.6360 + 6.03539i) q^{76} +(-78.7721 + 4.58795i) q^{77} +(22.6640 + 2.12535i) q^{78} +(38.4502 - 40.7549i) q^{79} +10.1668i q^{80} +(-12.0713 - 80.0955i) q^{81} -36.9275 q^{82} +(-42.1787 - 39.7935i) q^{83} +(34.1629 + 24.2400i) q^{84} +(-4.00111 - 68.6963i) q^{85} +(10.7963 - 92.3678i) q^{86} +(-69.0468 + 60.6790i) q^{87} +(28.5670 - 14.3469i) q^{88} +(59.8660 - 71.3456i) q^{89} +(-0.403520 + 32.3482i) q^{90} +(-28.6948 + 24.0778i) q^{91} +(1.36715 + 0.589730i) q^{92} +(4.09587 - 6.54865i) q^{93} +(66.7364 - 15.8168i) q^{94} +(-63.2931 - 18.9487i) q^{95} +(-16.5982 - 3.53533i) q^{96} +(75.6964 - 8.84764i) q^{97} +(0.360565 - 0.0635774i) q^{98} +(91.4619 - 44.5141i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{13}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02866 0.970492i −0.514331 0.485246i
\(3\) −2.72678 + 1.25087i −0.908926 + 0.416958i
\(4\) 0.116290 + 1.99662i 0.0290724 + 0.499154i
\(5\) 0.295075 2.52452i 0.0590149 0.504905i −0.931112 0.364733i \(-0.881160\pi\)
0.990127 0.140172i \(-0.0447656\pi\)
\(6\) 4.01889 + 1.35959i 0.669816 + 0.226599i
\(7\) −6.23888 + 3.13328i −0.891269 + 0.447612i −0.834648 0.550784i \(-0.814329\pi\)
−0.0566208 + 0.998396i \(0.518033\pi\)
\(8\) 1.81808 2.16670i 0.227260 0.270838i
\(9\) 5.87063 6.82170i 0.652293 0.757967i
\(10\) −2.75356 + 2.31051i −0.275356 + 0.231051i
\(11\) 10.3778 + 4.47654i 0.943436 + 0.406959i 0.811535 0.584304i \(-0.198633\pi\)
0.131901 + 0.991263i \(0.457892\pi\)
\(12\) −2.81461 5.29887i −0.234551 0.441572i
\(13\) 5.22076 1.23734i 0.401597 0.0951802i −0.0248536 0.999691i \(-0.507912\pi\)
0.426451 + 0.904511i \(0.359764\pi\)
\(14\) 9.45853 + 2.83170i 0.675609 + 0.202264i
\(15\) 2.35326 + 7.25292i 0.156884 + 0.483528i
\(16\) −3.97295 + 0.464372i −0.248310 + 0.0290232i
\(17\) 26.6621 4.70125i 1.56836 0.276544i 0.679134 0.734015i \(-0.262356\pi\)
0.889225 + 0.457471i \(0.151244\pi\)
\(18\) −12.6593 + 1.31982i −0.703295 + 0.0733234i
\(19\) 4.51377 25.5989i 0.237567 1.34731i −0.599573 0.800320i \(-0.704663\pi\)
0.837140 0.546989i \(-0.184226\pi\)
\(20\) 5.07482 + 0.295575i 0.253741 + 0.0147787i
\(21\) 13.0927 16.3478i 0.623462 0.778467i
\(22\) −6.33079 14.6764i −0.287763 0.667110i
\(23\) 0.334113 0.665273i 0.0145266 0.0289249i −0.886252 0.463203i \(-0.846700\pi\)
0.900779 + 0.434278i \(0.142996\pi\)
\(24\) −2.24723 + 8.18230i −0.0936345 + 0.340929i
\(25\) 18.0400 + 4.27555i 0.721599 + 0.171022i
\(26\) −6.57123 3.79390i −0.252739 0.145919i
\(27\) −7.47483 + 25.9447i −0.276846 + 0.960914i
\(28\) −6.98148 12.0923i −0.249339 0.431867i
\(29\) 29.3530 8.78772i 1.01217 0.303025i 0.262570 0.964913i \(-0.415430\pi\)
0.749603 + 0.661888i \(0.230245\pi\)
\(30\) 4.61820 9.74462i 0.153940 0.324821i
\(31\) −2.15112 + 1.41481i −0.0693908 + 0.0456391i −0.583730 0.811948i \(-0.698407\pi\)
0.514340 + 0.857587i \(0.328037\pi\)
\(32\) 4.53749 + 3.37804i 0.141797 + 0.105564i
\(33\) −33.8975 + 0.774761i −1.02720 + 0.0234776i
\(34\) −31.9888 21.0394i −0.940847 0.618805i
\(35\) 6.06912 + 16.6748i 0.173403 + 0.476422i
\(36\) 14.3030 + 10.9281i 0.397306 + 0.303559i
\(37\) −55.2668 20.1155i −1.49370 0.543661i −0.539276 0.842129i \(-0.681302\pi\)
−0.954420 + 0.298468i \(0.903524\pi\)
\(38\) −29.4867 + 21.9520i −0.775965 + 0.577684i
\(39\) −12.6881 + 9.90446i −0.325336 + 0.253961i
\(40\) −4.93342 5.22912i −0.123336 0.130728i
\(41\) 18.9929 17.9189i 0.463242 0.437047i −0.418898 0.908033i \(-0.637583\pi\)
0.882140 + 0.470987i \(0.156102\pi\)
\(42\) −29.3334 + 4.11000i −0.698414 + 0.0978573i
\(43\) 39.2683 + 52.7465i 0.913216 + 1.22666i 0.973548 + 0.228483i \(0.0733767\pi\)
−0.0603319 + 0.998178i \(0.519216\pi\)
\(44\) −7.73111 + 21.2411i −0.175707 + 0.482751i
\(45\) −15.4893 16.8335i −0.344206 0.374077i
\(46\) −0.989331 + 0.360087i −0.0215072 + 0.00782798i
\(47\) −26.6495 + 40.5186i −0.567011 + 0.862099i −0.999212 0.0396786i \(-0.987367\pi\)
0.432201 + 0.901777i \(0.357737\pi\)
\(48\) 10.2525 6.23590i 0.213594 0.129915i
\(49\) −0.154599 + 0.207663i −0.00315508 + 0.00423801i
\(50\) −14.4076 21.9057i −0.288153 0.438115i
\(51\) −66.8209 + 46.1701i −1.31021 + 0.905297i
\(52\) 3.07762 + 10.2800i 0.0591850 + 0.197692i
\(53\) 16.6439 9.60938i 0.314036 0.181309i −0.334695 0.942327i \(-0.608633\pi\)
0.648731 + 0.761018i \(0.275300\pi\)
\(54\) 32.8682 19.4340i 0.608670 0.359890i
\(55\) 14.3634 24.8781i 0.261152 0.452329i
\(56\) −4.55388 + 19.2143i −0.0813193 + 0.343113i
\(57\) 19.7129 + 75.4486i 0.345840 + 1.32366i
\(58\) −38.7227 19.4473i −0.667633 0.335298i
\(59\) 87.7875 37.8678i 1.48792 0.641827i 0.511812 0.859098i \(-0.328974\pi\)
0.976112 + 0.217270i \(0.0697152\pi\)
\(60\) −14.2076 + 5.54199i −0.236794 + 0.0923665i
\(61\) −2.75461 + 47.2949i −0.0451576 + 0.775326i 0.897387 + 0.441245i \(0.145463\pi\)
−0.942544 + 0.334081i \(0.891574\pi\)
\(62\) 3.58583 + 0.632279i 0.0578360 + 0.0101981i
\(63\) −15.2519 + 60.9542i −0.242093 + 0.967526i
\(64\) −1.38919 7.87846i −0.0217060 0.123101i
\(65\) −1.58319 13.5450i −0.0243567 0.208385i
\(66\) 35.6210 + 32.1003i 0.539712 + 0.486369i
\(67\) −0.127901 + 0.427218i −0.00190896 + 0.00637638i −0.958939 0.283613i \(-0.908467\pi\)
0.957030 + 0.289990i \(0.0936519\pi\)
\(68\) 12.4871 + 52.6873i 0.183634 + 0.774813i
\(69\) −0.0788791 + 2.23198i −0.00114317 + 0.0323476i
\(70\) 9.93966 23.0427i 0.141995 0.329182i
\(71\) −42.0686 50.1354i −0.592515 0.706132i 0.383572 0.923511i \(-0.374694\pi\)
−0.976087 + 0.217379i \(0.930249\pi\)
\(72\) −4.10732 25.1223i −0.0570461 0.348921i
\(73\) −75.1252 63.0375i −1.02911 0.863528i −0.0383675 0.999264i \(-0.512216\pi\)
−0.990745 + 0.135736i \(0.956660\pi\)
\(74\) 37.3289 + 74.3279i 0.504445 + 1.00443i
\(75\) −54.5392 + 10.9072i −0.727189 + 0.145430i
\(76\) 51.6360 + 6.03539i 0.679422 + 0.0794130i
\(77\) −78.7721 + 4.58795i −1.02301 + 0.0595838i
\(78\) 22.6640 + 2.12535i 0.290564 + 0.0272481i
\(79\) 38.4502 40.7549i 0.486712 0.515884i −0.436746 0.899585i \(-0.643869\pi\)
0.923458 + 0.383701i \(0.125351\pi\)
\(80\) 10.1668i 0.127086i
\(81\) −12.0713 80.0955i −0.149028 0.988833i
\(82\) −36.9275 −0.450335
\(83\) −42.1787 39.7935i −0.508177 0.479440i 0.388922 0.921271i \(-0.372848\pi\)
−0.897098 + 0.441831i \(0.854329\pi\)
\(84\) 34.1629 + 24.2400i 0.406701 + 0.288572i
\(85\) −4.00111 68.6963i −0.0470718 0.808192i
\(86\) 10.7963 92.3678i 0.125538 1.07404i
\(87\) −69.0468 + 60.6790i −0.793642 + 0.697460i
\(88\) 28.5670 14.3469i 0.324625 0.163033i
\(89\) 59.8660 71.3456i 0.672652 0.801636i −0.316490 0.948596i \(-0.602504\pi\)
0.989142 + 0.146960i \(0.0469489\pi\)
\(90\) −0.403520 + 32.3482i −0.00448356 + 0.359424i
\(91\) −28.6948 + 24.0778i −0.315327 + 0.264591i
\(92\) 1.36715 + 0.589730i 0.0148603 + 0.00641011i
\(93\) 4.09587 6.54865i 0.0440416 0.0704156i
\(94\) 66.7364 15.8168i 0.709961 0.168264i
\(95\) −63.2931 18.9487i −0.666243 0.199460i
\(96\) −16.5982 3.53533i −0.172898 0.0368264i
\(97\) 75.6964 8.84764i 0.780376 0.0912128i 0.283428 0.958993i \(-0.408528\pi\)
0.496947 + 0.867781i \(0.334454\pi\)
\(98\) 0.360565 0.0635774i 0.00367924 0.000648749i
\(99\) 91.4619 44.5141i 0.923858 0.449637i
\(100\) −6.43877 + 36.5161i −0.0643877 + 0.365161i
\(101\) 51.4621 + 2.99732i 0.509525 + 0.0296765i 0.310982 0.950416i \(-0.399342\pi\)
0.198543 + 0.980092i \(0.436379\pi\)
\(102\) 113.544 + 17.3558i 1.11318 + 0.170154i
\(103\) 11.7091 + 27.1448i 0.113681 + 0.263542i 0.965552 0.260209i \(-0.0837915\pi\)
−0.851871 + 0.523751i \(0.824532\pi\)
\(104\) 6.81080 13.5614i 0.0654884 0.130398i
\(105\) −37.4071 37.8767i −0.356258 0.360730i
\(106\) −26.4468 6.26800i −0.249498 0.0591321i
\(107\) 64.9420 + 37.4943i 0.606935 + 0.350414i 0.771765 0.635908i \(-0.219374\pi\)
−0.164830 + 0.986322i \(0.552708\pi\)
\(108\) −52.6708 11.9073i −0.487693 0.110253i
\(109\) 68.2905 + 118.283i 0.626518 + 1.08516i 0.988245 + 0.152877i \(0.0488538\pi\)
−0.361727 + 0.932284i \(0.617813\pi\)
\(110\) −38.9190 + 11.6516i −0.353809 + 0.105924i
\(111\) 175.862 14.2813i 1.58434 0.128660i
\(112\) 23.3318 15.3456i 0.208319 0.137014i
\(113\) −79.0324 58.8374i −0.699402 0.520685i 0.187719 0.982223i \(-0.439891\pi\)
−0.887121 + 0.461538i \(0.847298\pi\)
\(114\) 52.9444 96.7423i 0.464424 0.848616i
\(115\) −1.58091 1.03978i −0.0137470 0.00904157i
\(116\) 20.9591 + 57.5848i 0.180682 + 0.496421i
\(117\) 22.2084 42.8785i 0.189815 0.366483i
\(118\) −127.054 46.2439i −1.07673 0.391897i
\(119\) −151.611 + 112.870i −1.27404 + 0.948491i
\(120\) 19.9933 + 8.08757i 0.166611 + 0.0673964i
\(121\) 4.62396 + 4.90112i 0.0382146 + 0.0405051i
\(122\) 48.7329 45.9771i 0.399450 0.376861i
\(123\) −29.3752 + 72.6187i −0.238823 + 0.590396i
\(124\) −3.07499 4.13043i −0.0247983 0.0333099i
\(125\) 37.8498 103.991i 0.302798 0.831931i
\(126\) 74.8445 47.8994i 0.594004 0.380154i
\(127\) 111.688 40.6511i 0.879434 0.320088i 0.137453 0.990508i \(-0.456109\pi\)
0.741981 + 0.670421i \(0.233886\pi\)
\(128\) −6.21698 + 9.45247i −0.0485702 + 0.0738474i
\(129\) −173.055 94.7082i −1.34151 0.734172i
\(130\) −11.5168 + 15.4697i −0.0885907 + 0.118998i
\(131\) −33.9455 51.6117i −0.259126 0.393982i 0.682369 0.731008i \(-0.260950\pi\)
−0.941496 + 0.337025i \(0.890579\pi\)
\(132\) −5.48883 67.5903i −0.0415821 0.512047i
\(133\) 52.0477 + 173.851i 0.391336 + 1.30715i
\(134\) 0.546178 0.315336i 0.00407595 0.00235325i
\(135\) 63.2924 + 26.5260i 0.468832 + 0.196489i
\(136\) 38.2876 66.3160i 0.281526 0.487618i
\(137\) −35.6560 + 150.444i −0.260263 + 1.09813i 0.673200 + 0.739460i \(0.264919\pi\)
−0.933463 + 0.358674i \(0.883229\pi\)
\(138\) 2.24726 2.21940i 0.0162845 0.0160826i
\(139\) 59.2668 + 29.7649i 0.426380 + 0.214136i 0.649031 0.760762i \(-0.275175\pi\)
−0.222651 + 0.974898i \(0.571471\pi\)
\(140\) −32.5873 + 14.0568i −0.232767 + 0.100406i
\(141\) 21.9837 143.820i 0.155913 1.02000i
\(142\) −5.38166 + 92.3996i −0.0378990 + 0.650701i
\(143\) 59.7190 + 10.5301i 0.417615 + 0.0736369i
\(144\) −20.1560 + 29.8285i −0.139972 + 0.207142i
\(145\) −13.5235 76.6954i −0.0932654 0.528934i
\(146\) 16.1010 + 137.753i 0.110281 + 0.943512i
\(147\) 0.161798 0.759634i 0.00110067 0.00516758i
\(148\) 33.7359 112.686i 0.227945 0.761390i
\(149\) −20.0336 84.5283i −0.134454 0.567304i −0.998010 0.0630524i \(-0.979916\pi\)
0.863557 0.504252i \(-0.168232\pi\)
\(150\) 66.6877 + 41.7100i 0.444585 + 0.278067i
\(151\) −99.9473 + 231.704i −0.661903 + 1.53446i 0.173505 + 0.984833i \(0.444491\pi\)
−0.835408 + 0.549630i \(0.814769\pi\)
\(152\) −47.2587 56.3207i −0.310913 0.370531i
\(153\) 124.453 209.480i 0.813418 1.36915i
\(154\) 85.4824 + 71.7283i 0.555081 + 0.465768i
\(155\) 2.93699 + 5.84802i 0.0189483 + 0.0377292i
\(156\) −21.2509 24.1815i −0.136224 0.155009i
\(157\) 248.074 + 28.9956i 1.58009 + 0.184686i 0.860402 0.509616i \(-0.170213\pi\)
0.719684 + 0.694302i \(0.244287\pi\)
\(158\) −79.1046 + 4.60732i −0.500662 + 0.0291602i
\(159\) −33.3642 + 47.0221i −0.209838 + 0.295736i
\(160\) 9.86684 10.4582i 0.0616678 0.0653640i
\(161\) 5.19743i 0.0322822i
\(162\) −65.3147 + 94.1062i −0.403177 + 0.580903i
\(163\) −183.742 −1.12725 −0.563627 0.826030i \(-0.690594\pi\)
−0.563627 + 0.826030i \(0.690594\pi\)
\(164\) 37.9859 + 35.8378i 0.231621 + 0.218523i
\(165\) −8.04640 + 85.8038i −0.0487660 + 0.520023i
\(166\) 4.76828 + 81.8682i 0.0287246 + 0.493182i
\(167\) 2.97218 25.4286i 0.0177975 0.152267i −0.981417 0.191885i \(-0.938540\pi\)
0.999215 + 0.0396178i \(0.0126140\pi\)
\(168\) −11.6173 58.0896i −0.0691504 0.345771i
\(169\) −125.299 + 62.9273i −0.741412 + 0.372351i
\(170\) −62.5535 + 74.5483i −0.367962 + 0.438520i
\(171\) −148.129 181.073i −0.866253 1.05891i
\(172\) −100.748 + 84.5376i −0.585744 + 0.491497i
\(173\) −126.939 54.7561i −0.733750 0.316509i −0.00378467 0.999993i \(-0.501205\pi\)
−0.729966 + 0.683484i \(0.760464\pi\)
\(174\) 129.914 + 4.59122i 0.746634 + 0.0263863i
\(175\) −125.946 + 29.8497i −0.719690 + 0.170570i
\(176\) −43.3093 12.9659i −0.246075 0.0736702i
\(177\) −192.009 + 213.068i −1.08480 + 1.20377i
\(178\) −130.822 + 15.2909i −0.734956 + 0.0859041i
\(179\) 247.037 43.5593i 1.38009 0.243348i 0.566155 0.824299i \(-0.308430\pi\)
0.813939 + 0.580951i \(0.197319\pi\)
\(180\) 31.8087 32.8837i 0.176715 0.182687i
\(181\) −6.60913 + 37.4822i −0.0365145 + 0.207084i −0.997607 0.0691437i \(-0.977973\pi\)
0.961092 + 0.276228i \(0.0890844\pi\)
\(182\) 52.8845 + 3.08017i 0.290574 + 0.0169240i
\(183\) −51.6487 132.408i −0.282233 0.723543i
\(184\) −0.834005 1.93344i −0.00453263 0.0105078i
\(185\) −67.0898 + 133.587i −0.362647 + 0.722090i
\(186\) −10.5687 + 2.76134i −0.0568208 + 0.0148459i
\(187\) 297.739 + 70.5655i 1.59219 + 0.377355i
\(188\) −83.9992 48.4970i −0.446804 0.257963i
\(189\) −34.6575 185.287i −0.183373 0.980352i
\(190\) 46.7176 + 80.9173i 0.245882 + 0.425880i
\(191\) −279.165 + 83.5764i −1.46160 + 0.437573i −0.916239 0.400632i \(-0.868791\pi\)
−0.545356 + 0.838204i \(0.683606\pi\)
\(192\) 13.6430 + 19.7451i 0.0710571 + 0.102839i
\(193\) −272.919 + 179.501i −1.41409 + 0.930059i −0.414284 + 0.910148i \(0.635968\pi\)
−0.999802 + 0.0199114i \(0.993662\pi\)
\(194\) −86.4526 64.3616i −0.445632 0.331761i
\(195\) 21.2601 + 34.9540i 0.109026 + 0.179251i
\(196\) −0.432601 0.284526i −0.00220715 0.00145166i
\(197\) 121.680 + 334.312i 0.617663 + 1.69702i 0.712634 + 0.701536i \(0.247502\pi\)
−0.0949705 + 0.995480i \(0.530276\pi\)
\(198\) −137.284 42.9731i −0.693353 0.217036i
\(199\) −146.742 53.4098i −0.737398 0.268391i −0.0541051 0.998535i \(-0.517231\pi\)
−0.683293 + 0.730144i \(0.739453\pi\)
\(200\) 42.0619 31.3139i 0.210310 0.156570i
\(201\) −0.185639 1.32491i −0.000923575 0.00659162i
\(202\) −50.0282 53.0268i −0.247664 0.262509i
\(203\) −155.596 + 146.797i −0.766481 + 0.723137i
\(204\) −99.9546 128.047i −0.489974 0.627680i
\(205\) −39.6324 53.2356i −0.193329 0.259686i
\(206\) 14.2991 39.2864i 0.0694131 0.190711i
\(207\) −2.57684 6.18479i −0.0124485 0.0298782i
\(208\) −20.1672 + 7.34028i −0.0969579 + 0.0352898i
\(209\) 161.438 245.454i 0.772428 1.17442i
\(210\) 1.72027 + 75.2656i 0.00819176 + 0.358408i
\(211\) 166.048 223.041i 0.786957 1.05707i −0.209891 0.977725i \(-0.567311\pi\)
0.996847 0.0793415i \(-0.0252818\pi\)
\(212\) 21.1218 + 32.1141i 0.0996309 + 0.151481i
\(213\) 177.425 + 84.0856i 0.832979 + 0.394768i
\(214\) −30.4155 101.595i −0.142128 0.474741i
\(215\) 144.747 83.5696i 0.673241 0.388696i
\(216\) 42.6246 + 63.3652i 0.197336 + 0.293357i
\(217\) 8.98755 15.5669i 0.0414173 0.0717369i
\(218\) 44.5445 187.948i 0.204333 0.862147i
\(219\) 283.702 + 77.9173i 1.29544 + 0.355787i
\(220\) 51.3423 + 25.7851i 0.233374 + 0.117205i
\(221\) 133.379 57.5342i 0.603526 0.260336i
\(222\) −194.762 155.982i −0.877308 0.702622i
\(223\) −2.76369 + 47.4507i −0.0123932 + 0.212783i 0.986426 + 0.164205i \(0.0525060\pi\)
−0.998819 + 0.0485780i \(0.984531\pi\)
\(224\) −38.8932 6.85793i −0.173631 0.0306158i
\(225\) 135.073 97.9631i 0.600323 0.435392i
\(226\) 24.1963 + 137.224i 0.107063 + 0.607186i
\(227\) −44.8118 383.389i −0.197409 1.68894i −0.621574 0.783355i \(-0.713507\pi\)
0.424166 0.905585i \(-0.360567\pi\)
\(228\) −148.349 + 48.1330i −0.650656 + 0.211109i
\(229\) 35.4429 118.388i 0.154773 0.516976i −0.845071 0.534654i \(-0.820442\pi\)
0.999844 + 0.0176774i \(0.00562718\pi\)
\(230\) 0.617122 + 2.60384i 0.00268314 + 0.0113211i
\(231\) 209.055 111.044i 0.905001 0.480711i
\(232\) 34.3257 79.5760i 0.147956 0.343000i
\(233\) −89.6048 106.787i −0.384570 0.458312i 0.538681 0.842510i \(-0.318923\pi\)
−0.923251 + 0.384197i \(0.874478\pi\)
\(234\) −64.4581 + 22.5544i −0.275462 + 0.0963862i
\(235\) 94.4267 + 79.2334i 0.401816 + 0.337163i
\(236\) 85.8163 + 170.874i 0.363628 + 0.724044i
\(237\) −53.8661 + 159.226i −0.227283 + 0.671839i
\(238\) 265.497 + 31.0321i 1.11553 + 0.130387i
\(239\) −404.834 + 23.5789i −1.69387 + 0.0986565i −0.877715 0.479182i \(-0.840933\pi\)
−0.816151 + 0.577839i \(0.803896\pi\)
\(240\) −12.7174 27.7227i −0.0529893 0.115511i
\(241\) −148.183 + 157.064i −0.614865 + 0.651719i −0.957731 0.287665i \(-0.907121\pi\)
0.342866 + 0.939384i \(0.388602\pi\)
\(242\) 9.52911i 0.0393765i
\(243\) 133.105 + 203.303i 0.547757 + 0.836637i
\(244\) −94.7501 −0.388320
\(245\) 0.478631 + 0.451565i 0.00195360 + 0.00184312i
\(246\) 100.693 46.1916i 0.409321 0.187771i
\(247\) −8.10926 139.231i −0.0328310 0.563687i
\(248\) −0.845424 + 7.23306i −0.00340897 + 0.0291656i
\(249\) 164.789 + 55.7480i 0.661801 + 0.223887i
\(250\) −139.857 + 70.2391i −0.559430 + 0.280956i
\(251\) −315.635 + 376.159i −1.25751 + 1.49864i −0.469564 + 0.882898i \(0.655589\pi\)
−0.787946 + 0.615744i \(0.788855\pi\)
\(252\) −123.476 23.3638i −0.489983 0.0927133i
\(253\) 6.44548 5.40840i 0.0254762 0.0213771i
\(254\) −154.341 66.5762i −0.607641 0.262111i
\(255\) 96.8405 + 182.315i 0.379767 + 0.714960i
\(256\) 15.5687 3.68985i 0.0608153 0.0144135i
\(257\) −32.0258 9.58791i −0.124614 0.0373070i 0.223889 0.974615i \(-0.428125\pi\)
−0.348503 + 0.937308i \(0.613310\pi\)
\(258\) 86.1014 + 265.371i 0.333726 + 1.02857i
\(259\) 407.830 47.6685i 1.57463 0.184048i
\(260\) 26.8601 4.73617i 0.103308 0.0182160i
\(261\) 112.374 251.827i 0.430550 0.964855i
\(262\) −15.1703 + 86.0349i −0.0579018 + 0.328377i
\(263\) 123.894 + 7.21602i 0.471081 + 0.0274373i 0.292044 0.956405i \(-0.405665\pi\)
0.179037 + 0.983842i \(0.442702\pi\)
\(264\) −59.9497 + 74.8544i −0.227082 + 0.283539i
\(265\) −19.3479 44.8535i −0.0730110 0.169258i
\(266\) 115.182 229.346i 0.433015 0.862203i
\(267\) −73.9972 + 269.428i −0.277143 + 1.00909i
\(268\) −0.867863 0.205687i −0.00323830 0.000767490i
\(269\) 380.179 + 219.497i 1.41331 + 0.815973i 0.995698 0.0926549i \(-0.0295353\pi\)
0.417608 + 0.908627i \(0.362869\pi\)
\(270\) −39.3631 88.7110i −0.145789 0.328559i
\(271\) −66.4360 115.070i −0.245151 0.424614i 0.717023 0.697050i \(-0.245504\pi\)
−0.962174 + 0.272435i \(0.912171\pi\)
\(272\) −103.744 + 31.0590i −0.381412 + 0.114187i
\(273\) 48.1260 101.548i 0.176286 0.371971i
\(274\) 182.683 120.153i 0.666726 0.438513i
\(275\) 168.075 + 125.127i 0.611183 + 0.455009i
\(276\) −4.46559 + 0.102065i −0.0161797 + 0.000369802i
\(277\) −379.065 249.315i −1.36846 0.900053i −0.368897 0.929470i \(-0.620265\pi\)
−0.999567 + 0.0294167i \(0.990635\pi\)
\(278\) −32.0789 88.1361i −0.115392 0.317036i
\(279\) −2.97699 + 22.9801i −0.0106702 + 0.0823660i
\(280\) 47.1633 + 17.1661i 0.168441 + 0.0613073i
\(281\) 253.445 188.682i 0.901938 0.671468i −0.0428743 0.999080i \(-0.513651\pi\)
0.944812 + 0.327613i \(0.106244\pi\)
\(282\) −162.190 + 126.608i −0.575143 + 0.448963i
\(283\) −30.3383 32.1567i −0.107202 0.113628i 0.671550 0.740959i \(-0.265629\pi\)
−0.778753 + 0.627331i \(0.784147\pi\)
\(284\) 95.2090 89.8250i 0.335243 0.316285i
\(285\) 196.289 27.5027i 0.688732 0.0965007i
\(286\) −51.2113 68.7887i −0.179060 0.240520i
\(287\) −62.3497 + 171.304i −0.217246 + 0.596879i
\(288\) 49.6820 11.1222i 0.172507 0.0386188i
\(289\) 417.194 151.846i 1.44358 0.525420i
\(290\) −60.5213 + 92.0181i −0.208694 + 0.317304i
\(291\) −195.340 + 118.812i −0.671272 + 0.408289i
\(292\) 117.126 157.327i 0.401115 0.538791i
\(293\) 270.469 + 411.229i 0.923104 + 1.40351i 0.914960 + 0.403544i \(0.132222\pi\)
0.00814323 + 0.999967i \(0.497408\pi\)
\(294\) −0.903654 + 0.624382i −0.00307365 + 0.00212375i
\(295\) −69.6944 232.795i −0.236252 0.789137i
\(296\) −144.063 + 83.1751i −0.486701 + 0.280997i
\(297\) −193.715 + 235.787i −0.652238 + 0.793897i
\(298\) −61.4263 + 106.394i −0.206129 + 0.357025i
\(299\) 0.921151 3.88664i 0.00308077 0.0129988i
\(300\) −28.1199 107.625i −0.0937330 0.358751i
\(301\) −410.260 206.040i −1.36299 0.684519i
\(302\) 327.679 141.347i 1.08503 0.468036i
\(303\) −144.075 + 56.1994i −0.475495 + 0.185477i
\(304\) −6.04562 + 103.799i −0.0198869 + 0.341445i
\(305\) 118.584 + 20.9096i 0.388801 + 0.0685561i
\(306\) −331.319 + 94.7037i −1.08274 + 0.309489i
\(307\) −47.3359 268.455i −0.154189 0.874447i −0.959524 0.281627i \(-0.909126\pi\)
0.805335 0.592820i \(-0.201985\pi\)
\(308\) −18.3208 156.744i −0.0594830 0.508910i
\(309\) −65.8829 59.3712i −0.213213 0.192140i
\(310\) 2.65429 8.86596i 0.00856224 0.0285999i
\(311\) 37.8086 + 159.527i 0.121571 + 0.512948i 0.999421 + 0.0340134i \(0.0108289\pi\)
−0.877850 + 0.478935i \(0.841023\pi\)
\(312\) −1.60793 + 45.4984i −0.00515362 + 0.145828i
\(313\) 80.3748 186.330i 0.256788 0.595302i −0.740240 0.672343i \(-0.765288\pi\)
0.997028 + 0.0770408i \(0.0245472\pi\)
\(314\) −227.044 270.580i −0.723069 0.861720i
\(315\) 149.380 + 56.4897i 0.474222 + 0.179332i
\(316\) 85.8432 + 72.0310i 0.271656 + 0.227946i
\(317\) 98.1453 + 195.423i 0.309607 + 0.616478i 0.993593 0.113017i \(-0.0360515\pi\)
−0.683986 + 0.729495i \(0.739755\pi\)
\(318\) 79.9550 15.9901i 0.251431 0.0502834i
\(319\) 343.958 + 40.2029i 1.07824 + 0.126028i
\(320\) −20.2993 + 1.18230i −0.0634353 + 0.00369468i
\(321\) −223.983 21.0044i −0.697767 0.0654343i
\(322\) 5.04406 5.34639i 0.0156648 0.0166037i
\(323\) 703.740i 2.17876i
\(324\) 158.516 33.4160i 0.489247 0.103136i
\(325\) 99.4726 0.306070
\(326\) 189.009 + 178.320i 0.579781 + 0.546995i
\(327\) −334.169 237.108i −1.02192 0.725100i
\(328\) −4.29428 73.7300i −0.0130923 0.224787i
\(329\) 39.3068 336.291i 0.119474 1.02216i
\(330\) 91.5489 80.4541i 0.277421 0.243800i
\(331\) 19.7436 9.91560i 0.0596483 0.0299565i −0.418725 0.908113i \(-0.637523\pi\)
0.478373 + 0.878157i \(0.341227\pi\)
\(332\) 74.5475 88.8422i 0.224541 0.267597i
\(333\) −461.673 + 258.923i −1.38640 + 0.777546i
\(334\) −27.7356 + 23.2730i −0.0830408 + 0.0696795i
\(335\) 1.04078 + 0.448949i 0.00310681 + 0.00134015i
\(336\) −44.4252 + 71.0290i −0.132218 + 0.211396i
\(337\) −418.901 + 99.2814i −1.24303 + 0.294603i −0.798957 0.601388i \(-0.794615\pi\)
−0.444072 + 0.895991i \(0.646467\pi\)
\(338\) 189.960 + 56.8704i 0.562013 + 0.168256i
\(339\) 289.102 + 61.5771i 0.852808 + 0.181643i
\(340\) 136.695 15.9773i 0.402044 0.0469922i
\(341\) −28.6573 + 5.05306i −0.0840390 + 0.0148183i
\(342\) −23.3553 + 330.021i −0.0682904 + 0.964975i
\(343\) 59.7176 338.676i 0.174104 0.987392i
\(344\) 185.679 + 10.8145i 0.539763 + 0.0314376i
\(345\) 5.61142 + 0.857734i 0.0162650 + 0.00248618i
\(346\) 77.4368 + 179.519i 0.223806 + 0.518840i
\(347\) −153.214 + 305.074i −0.441538 + 0.879175i 0.557268 + 0.830332i \(0.311849\pi\)
−0.998807 + 0.0488423i \(0.984447\pi\)
\(348\) −129.182 130.804i −0.371213 0.375873i
\(349\) 477.116 + 113.079i 1.36710 + 0.324008i 0.847677 0.530512i \(-0.178000\pi\)
0.519419 + 0.854520i \(0.326149\pi\)
\(350\) 158.524 + 91.5241i 0.452927 + 0.261497i
\(351\) −6.92182 + 144.700i −0.0197203 + 0.412250i
\(352\) 31.9672 + 55.3689i 0.0908160 + 0.157298i
\(353\) −40.5965 + 12.1538i −0.115004 + 0.0344300i −0.343788 0.939047i \(-0.611710\pi\)
0.228784 + 0.973477i \(0.426525\pi\)
\(354\) 404.293 32.8316i 1.14207 0.0927447i
\(355\) −138.981 + 91.4095i −0.391497 + 0.257491i
\(356\) 149.412 + 111.233i 0.419695 + 0.312452i
\(357\) 272.224 497.419i 0.762532 1.39333i
\(358\) −296.391 194.940i −0.827909 0.544524i
\(359\) −33.3924 91.7449i −0.0930151 0.255557i 0.884457 0.466622i \(-0.154529\pi\)
−0.977472 + 0.211065i \(0.932307\pi\)
\(360\) −64.6338 + 2.95608i −0.179538 + 0.00821134i
\(361\) −295.699 107.626i −0.819111 0.298132i
\(362\) 43.1748 32.1424i 0.119267 0.0887912i
\(363\) −18.7392 7.58026i −0.0516231 0.0208823i
\(364\) −51.4109 54.4924i −0.141239 0.149704i
\(365\) −181.307 + 171.055i −0.496733 + 0.468643i
\(366\) −75.3722 + 186.328i −0.205935 + 0.509093i
\(367\) −413.282 555.134i −1.12611 1.51263i −0.830245 0.557398i \(-0.811800\pi\)
−0.295864 0.955230i \(-0.595608\pi\)
\(368\) −1.01848 + 2.79825i −0.00276761 + 0.00760394i
\(369\) −10.7369 234.760i −0.0290974 0.636205i
\(370\) 198.658 72.3054i 0.536912 0.195420i
\(371\) −73.7306 + 112.102i −0.198735 + 0.302161i
\(372\) 13.5514 + 7.41633i 0.0364286 + 0.0199364i
\(373\) −273.618 + 367.533i −0.733561 + 0.985344i 0.266209 + 0.963915i \(0.414229\pi\)
−0.999770 + 0.0214284i \(0.993179\pi\)
\(374\) −237.790 361.541i −0.635801 0.966688i
\(375\) 26.8721 + 330.907i 0.0716589 + 0.882418i
\(376\) 39.3408 + 131.408i 0.104630 + 0.349488i
\(377\) 142.372 82.1983i 0.377644 0.218033i
\(378\) −144.168 + 224.232i −0.381398 + 0.593207i
\(379\) −153.732 + 266.272i −0.405625 + 0.702564i −0.994394 0.105738i \(-0.966280\pi\)
0.588769 + 0.808302i \(0.299613\pi\)
\(380\) 30.4730 128.576i 0.0801920 0.338357i
\(381\) −253.699 + 250.554i −0.665877 + 0.657623i
\(382\) 368.276 + 184.955i 0.964074 + 0.484176i
\(383\) 119.721 51.6427i 0.312588 0.134837i −0.234006 0.972235i \(-0.575183\pi\)
0.546594 + 0.837398i \(0.315924\pi\)
\(384\) 5.12850 33.5514i 0.0133555 0.0873735i
\(385\) −11.6613 + 200.216i −0.0302890 + 0.520041i
\(386\) 454.946 + 80.2192i 1.17862 + 0.207822i
\(387\) 590.350 + 41.7786i 1.52545 + 0.107955i
\(388\) 26.4681 + 150.108i 0.0682166 + 0.386876i
\(389\) 21.3065 + 182.289i 0.0547726 + 0.468609i 0.992593 + 0.121488i \(0.0387666\pi\)
−0.937820 + 0.347121i \(0.887159\pi\)
\(390\) 12.0531 56.5886i 0.0309053 0.145099i
\(391\) 5.78053 19.3083i 0.0147840 0.0493819i
\(392\) 0.168870 + 0.712517i 0.000430790 + 0.00181764i
\(393\) 157.122 + 98.2721i 0.399801 + 0.250056i
\(394\) 199.280 461.983i 0.505787 1.17255i
\(395\) −91.5410 109.094i −0.231749 0.276188i
\(396\) 99.5137 + 177.438i 0.251297 + 0.448075i
\(397\) −304.882 255.826i −0.767964 0.644398i 0.172223 0.985058i \(-0.444905\pi\)
−0.940187 + 0.340660i \(0.889350\pi\)
\(398\) 99.1143 + 197.353i 0.249031 + 0.495861i
\(399\) −359.388 408.949i −0.900722 1.02493i
\(400\) −73.6574 8.60931i −0.184143 0.0215233i
\(401\) −50.2733 + 2.92808i −0.125370 + 0.00730196i −0.120715 0.992687i \(-0.538519\pi\)
−0.00465479 + 0.999989i \(0.501482\pi\)
\(402\) −1.09486 + 1.54305i −0.00272353 + 0.00383843i
\(403\) −9.47985 + 10.0481i −0.0235232 + 0.0249331i
\(404\) 103.099i 0.255194i
\(405\) −205.765 + 6.84016i −0.508061 + 0.0168893i
\(406\) 302.520 0.745124
\(407\) −483.499 456.158i −1.18796 1.12078i
\(408\) −21.4488 + 228.722i −0.0525706 + 0.560593i
\(409\) 40.8839 + 701.950i 0.0999607 + 1.71626i 0.560110 + 0.828418i \(0.310759\pi\)
−0.460150 + 0.887841i \(0.652204\pi\)
\(410\) −10.8964 + 93.2243i −0.0265765 + 0.227376i
\(411\) −90.9609 454.830i −0.221316 1.10664i
\(412\) −52.8361 + 26.5353i −0.128243 + 0.0644060i
\(413\) −429.045 + 511.316i −1.03885 + 1.23805i
\(414\) −3.35159 + 8.86286i −0.00809564 + 0.0214079i
\(415\) −112.906 + 94.7390i −0.272062 + 0.228287i
\(416\) 27.8690 + 12.0215i 0.0669927 + 0.0288978i
\(417\) −198.840 7.02706i −0.476834 0.0168515i
\(418\) −404.276 + 95.8151i −0.967166 + 0.229223i
\(419\) 340.805 + 102.030i 0.813377 + 0.243509i 0.666365 0.745626i \(-0.267849\pi\)
0.147012 + 0.989135i \(0.453035\pi\)
\(420\) 71.2751 79.0924i 0.169703 0.188315i
\(421\) −538.749 + 62.9707i −1.27969 + 0.149574i −0.728639 0.684898i \(-0.759847\pi\)
−0.551050 + 0.834472i \(0.685773\pi\)
\(422\) −387.267 + 68.2856i −0.917693 + 0.161814i
\(423\) 119.957 + 419.665i 0.283585 + 0.992116i
\(424\) 9.43931 53.5330i 0.0222625 0.126257i
\(425\) 501.084 + 29.1848i 1.17902 + 0.0686701i
\(426\) −100.905 258.685i −0.236867 0.607241i
\(427\) −131.003 303.698i −0.306798 0.711237i
\(428\) −67.3096 + 134.025i −0.157266 + 0.313141i
\(429\) −176.012 + 45.9877i −0.410285 + 0.107197i
\(430\) −229.999 54.5108i −0.534882 0.126769i
\(431\) −266.537 153.885i −0.618416 0.357043i 0.157836 0.987465i \(-0.449548\pi\)
−0.776252 + 0.630423i \(0.782882\pi\)
\(432\) 17.6492 106.548i 0.0408546 0.246639i
\(433\) 231.362 + 400.731i 0.534324 + 0.925476i 0.999196 + 0.0400978i \(0.0127669\pi\)
−0.464872 + 0.885378i \(0.653900\pi\)
\(434\) −24.3527 + 7.29072i −0.0561122 + 0.0167989i
\(435\) 132.812 + 192.215i 0.305314 + 0.441874i
\(436\) −228.223 + 150.105i −0.523448 + 0.344277i
\(437\) −15.5221 11.5558i −0.0355197 0.0264435i
\(438\) −216.215 355.481i −0.493641 0.811600i
\(439\) −662.202 435.537i −1.50843 0.992112i −0.990624 0.136616i \(-0.956377\pi\)
−0.517809 0.855496i \(-0.673252\pi\)
\(440\) −27.7896 76.3514i −0.0631583 0.173526i
\(441\) 0.509018 + 2.27374i 0.00115424 + 0.00515587i
\(442\) −193.039 70.2603i −0.436739 0.158960i
\(443\) 283.259 210.879i 0.639411 0.476024i −0.227970 0.973668i \(-0.573209\pi\)
0.867381 + 0.497644i \(0.165801\pi\)
\(444\) 48.9652 + 349.468i 0.110282 + 0.787091i
\(445\) −162.449 172.186i −0.365053 0.386934i
\(446\) 48.8934 46.1286i 0.109627 0.103427i
\(447\) 160.361 + 205.431i 0.358750 + 0.459576i
\(448\) 33.3524 + 44.8001i 0.0744474 + 0.100000i
\(449\) −152.670 + 419.456i −0.340021 + 0.934201i 0.645366 + 0.763873i \(0.276705\pi\)
−0.985387 + 0.170328i \(0.945517\pi\)
\(450\) −234.016 30.3160i −0.520037 0.0673689i
\(451\) 277.320 100.936i 0.614900 0.223805i
\(452\) 108.285 164.640i 0.239569 0.364247i
\(453\) −17.2980 756.826i −0.0381855 1.67070i
\(454\) −325.980 + 437.867i −0.718018 + 0.964466i
\(455\) 52.3178 + 79.5453i 0.114984 + 0.174825i
\(456\) 199.314 + 94.4595i 0.437092 + 0.207148i
\(457\) 217.113 + 725.208i 0.475083 + 1.58689i 0.774375 + 0.632726i \(0.218064\pi\)
−0.299292 + 0.954161i \(0.596751\pi\)
\(458\) −151.353 + 87.3837i −0.330465 + 0.190794i
\(459\) −77.3223 + 726.881i −0.168458 + 1.58362i
\(460\) 1.89220 3.27739i 0.00411348 0.00712475i
\(461\) −147.856 + 623.853i −0.320729 + 1.35326i 0.538912 + 0.842362i \(0.318835\pi\)
−0.859641 + 0.510899i \(0.829313\pi\)
\(462\) −322.815 88.6594i −0.698733 0.191904i
\(463\) −256.889 129.015i −0.554837 0.278650i 0.149207 0.988806i \(-0.452328\pi\)
−0.704044 + 0.710156i \(0.748624\pi\)
\(464\) −112.537 + 48.5439i −0.242538 + 0.104620i
\(465\) −15.3236 12.2725i −0.0329541 0.0263924i
\(466\) −11.4628 + 196.808i −0.0245982 + 0.422335i
\(467\) 284.284 + 50.1270i 0.608746 + 0.107338i 0.469519 0.882922i \(-0.344427\pi\)
0.139227 + 0.990261i \(0.455538\pi\)
\(468\) 88.1944 + 39.3553i 0.188450 + 0.0840925i
\(469\) −0.540638 3.06611i −0.00115275 0.00653755i
\(470\) −20.2377 173.145i −0.0430590 0.368393i
\(471\) −712.711 + 231.244i −1.51319 + 0.490963i
\(472\) 77.5562 259.056i 0.164314 0.548847i
\(473\) 171.396 + 723.178i 0.362360 + 1.52892i
\(474\) 209.937 111.513i 0.442906 0.235259i
\(475\) 190.878 442.504i 0.401848 0.931587i
\(476\) −242.990 289.584i −0.510483 0.608370i
\(477\) 32.1581 169.953i 0.0674174 0.356296i
\(478\) 439.320 + 368.634i 0.919080 + 0.771200i
\(479\) −243.992 485.829i −0.509379 1.01426i −0.990488 0.137596i \(-0.956062\pi\)
0.481110 0.876661i \(-0.340234\pi\)
\(480\) −13.8228 + 40.8595i −0.0287974 + 0.0851239i
\(481\) −313.424 36.6340i −0.651609 0.0761622i
\(482\) 304.859 17.7560i 0.632488 0.0368383i
\(483\) −6.50132 14.1722i −0.0134603 0.0293421i
\(484\) −9.24793 + 9.80223i −0.0191073 + 0.0202525i
\(485\) 193.708i 0.399398i
\(486\) 60.3839 338.307i 0.124247 0.696105i
\(487\) 309.778 0.636095 0.318047 0.948075i \(-0.396973\pi\)
0.318047 + 0.948075i \(0.396973\pi\)
\(488\) 97.4658 + 91.9542i 0.199725 + 0.188431i
\(489\) 501.024 229.838i 1.02459 0.470017i
\(490\) −0.0541090 0.929016i −0.000110427 0.00189595i
\(491\) 4.63428 39.6488i 0.00943846 0.0807512i −0.987698 0.156373i \(-0.950020\pi\)
0.997137 + 0.0756214i \(0.0240940\pi\)
\(492\) −148.408 50.2063i −0.301642 0.102045i
\(493\) 741.300 372.295i 1.50365 0.755162i
\(494\) −126.781 + 151.091i −0.256641 + 0.305853i
\(495\) −85.3889 244.033i −0.172503 0.492996i
\(496\) 7.88929 6.61990i 0.0159058 0.0133466i
\(497\) 419.549 + 180.976i 0.844163 + 0.364137i
\(498\) −115.409 217.272i −0.231744 0.436289i
\(499\) 385.291 91.3157i 0.772127 0.182997i 0.174376 0.984679i \(-0.444209\pi\)
0.597751 + 0.801682i \(0.296061\pi\)
\(500\) 212.032 + 63.4784i 0.424065 + 0.126957i
\(501\) 23.7035 + 73.0560i 0.0473124 + 0.145820i
\(502\) 689.741 80.6192i 1.37399 0.160596i
\(503\) −274.933 + 48.4781i −0.546586 + 0.0963779i −0.440121 0.897939i \(-0.645064\pi\)
−0.106465 + 0.994316i \(0.533953\pi\)
\(504\) 104.340 + 143.866i 0.207025 + 0.285448i
\(505\) 22.7520 129.033i 0.0450534 0.255510i
\(506\) −11.8790 0.691874i −0.0234763 0.00136734i
\(507\) 262.947 328.321i 0.518634 0.647577i
\(508\) 94.1529 + 218.271i 0.185340 + 0.429667i
\(509\) 224.820 447.653i 0.441689 0.879475i −0.557108 0.830440i \(-0.688089\pi\)
0.998797 0.0490351i \(-0.0156146\pi\)
\(510\) 77.3189 281.523i 0.151606 0.552006i
\(511\) 666.212 + 157.895i 1.30374 + 0.308992i
\(512\) −19.5959 11.3137i −0.0382733 0.0220971i
\(513\) 630.415 + 308.456i 1.22888 + 0.601278i
\(514\) 23.6388 + 40.9435i 0.0459898 + 0.0796567i
\(515\) 71.9828 21.5502i 0.139772 0.0418451i
\(516\) 168.972 356.538i 0.327464 0.690965i
\(517\) −457.947 + 301.196i −0.885777 + 0.582585i
\(518\) −465.781 346.761i −0.899191 0.669423i
\(519\) 414.627 9.47670i 0.798896 0.0182595i
\(520\) −32.2264 21.1956i −0.0619739 0.0407609i
\(521\) −176.480 484.875i −0.338734 0.930663i −0.985754 0.168191i \(-0.946208\pi\)
0.647021 0.762472i \(-0.276015\pi\)
\(522\) −359.991 + 149.987i −0.689637 + 0.287332i
\(523\) 821.160 + 298.878i 1.57010 + 0.571468i 0.973021 0.230717i \(-0.0741071\pi\)
0.597075 + 0.802185i \(0.296329\pi\)
\(524\) 99.1012 73.7781i 0.189125 0.140798i
\(525\) 306.088 238.936i 0.583024 0.455115i
\(526\) −120.442 127.661i −0.228977 0.242702i
\(527\) −50.7019 + 47.8348i −0.0962085 + 0.0907681i
\(528\) 134.314 18.8191i 0.254382 0.0356423i
\(529\) 315.566 + 423.879i 0.596533 + 0.801283i
\(530\) −23.6275 + 64.9160i −0.0445802 + 0.122483i
\(531\) 257.045 821.168i 0.484077 1.54646i
\(532\) −341.062 + 124.136i −0.641093 + 0.233339i
\(533\) 76.9857 117.051i 0.144439 0.219608i
\(534\) 337.596 205.337i 0.632202 0.384526i
\(535\) 113.818 152.884i 0.212744 0.285765i
\(536\) 0.693120 + 1.05384i 0.00129313 + 0.00196611i
\(537\) −619.128 + 427.788i −1.15294 + 0.796626i
\(538\) −178.056 594.749i −0.330959 1.10548i
\(539\) −2.53401 + 1.46301i −0.00470131 + 0.00271431i
\(540\) −45.6020 + 129.455i −0.0844482 + 0.239732i
\(541\) −206.464 + 357.606i −0.381634 + 0.661009i −0.991296 0.131652i \(-0.957972\pi\)
0.609662 + 0.792661i \(0.291305\pi\)
\(542\) −43.3349 + 182.844i −0.0799536 + 0.337351i
\(543\) −28.8639 110.473i −0.0531563 0.203449i
\(544\) 136.860 + 68.7337i 0.251581 + 0.126349i
\(545\) 318.758 137.499i 0.584877 0.252291i
\(546\) −148.057 + 57.7528i −0.271167 + 0.105774i
\(547\) 0.656011 11.2633i 0.00119929 0.0205910i −0.997655 0.0684372i \(-0.978199\pi\)
0.998855 + 0.0478462i \(0.0152357\pi\)
\(548\) −304.526 53.6962i −0.555705 0.0979857i
\(549\) 306.460 + 296.442i 0.558216 + 0.539967i
\(550\) −51.4575 291.830i −0.0935590 0.530600i
\(551\) −92.4628 791.070i −0.167809 1.43570i
\(552\) 4.69263 + 4.22883i 0.00850115 + 0.00766092i
\(553\) −112.190 + 374.740i −0.202875 + 0.677650i
\(554\) 147.971 + 624.340i 0.267096 + 1.12697i
\(555\) 15.8389 448.182i 0.0285386 0.807535i
\(556\) −52.5370 + 121.795i −0.0944910 + 0.219055i
\(557\) −478.408 570.144i −0.858901 1.02360i −0.999438 0.0335228i \(-0.989327\pi\)
0.140537 0.990075i \(-0.455117\pi\)
\(558\) 25.3643 20.7496i 0.0454558 0.0371857i
\(559\) 270.276 + 226.788i 0.483499 + 0.405703i
\(560\) −31.8556 63.4297i −0.0568850 0.113267i
\(561\) −900.137 + 180.017i −1.60452 + 0.320887i
\(562\) −443.824 51.8755i −0.789722 0.0923052i
\(563\) −607.335 + 35.3733i −1.07875 + 0.0628299i −0.588302 0.808641i \(-0.700203\pi\)
−0.490447 + 0.871471i \(0.663166\pi\)
\(564\) 289.711 + 27.1681i 0.513672 + 0.0481704i
\(565\) −171.857 + 182.158i −0.304172 + 0.322403i
\(566\) 62.5215i 0.110462i
\(567\) 326.273 + 461.883i 0.575438 + 0.814609i
\(568\) −185.112 −0.325902
\(569\) −446.717 421.456i −0.785091 0.740695i 0.185183 0.982704i \(-0.440712\pi\)
−0.970274 + 0.242009i \(0.922194\pi\)
\(570\) −228.606 162.206i −0.401063 0.284571i
\(571\) 47.1157 + 808.945i 0.0825143 + 1.41672i 0.744712 + 0.667387i \(0.232587\pi\)
−0.662197 + 0.749330i \(0.730376\pi\)
\(572\) −14.0798 + 120.460i −0.0246150 + 0.210595i
\(573\) 656.677 577.094i 1.14603 1.00714i
\(574\) 230.386 115.704i 0.401370 0.201575i
\(575\) 8.87179 10.5730i 0.0154292 0.0183878i
\(576\) −61.8999 36.7750i −0.107465 0.0638454i
\(577\) 695.756 583.808i 1.20582 1.01180i 0.206371 0.978474i \(-0.433834\pi\)
0.999445 0.0333260i \(-0.0106100\pi\)
\(578\) −576.518 248.685i −0.997435 0.430252i
\(579\) 519.655 830.847i 0.897504 1.43497i
\(580\) 151.559 35.9201i 0.261308 0.0619312i
\(581\) 387.832 + 116.109i 0.667525 + 0.199844i
\(582\) 316.245 + 67.3585i 0.543376 + 0.115736i
\(583\) 215.744 25.2169i 0.370058 0.0432536i
\(584\) −273.167 + 48.1667i −0.467752 + 0.0824772i
\(585\) −101.695 68.7180i −0.173837 0.117467i
\(586\) 120.873 685.504i 0.206268 1.16980i
\(587\) −74.9869 4.36749i −0.127746 0.00744036i −0.00584734 0.999983i \(-0.501861\pi\)
−0.121899 + 0.992543i \(0.538898\pi\)
\(588\) 1.53551 + 0.234711i 0.00261142 + 0.000399168i
\(589\) 26.5079 + 61.4523i 0.0450050 + 0.104333i
\(590\) −154.234 + 307.106i −0.261414 + 0.520518i
\(591\) −749.976 759.389i −1.26899 1.28492i
\(592\) 228.913 + 54.2534i 0.386678 + 0.0916443i
\(593\) 177.676 + 102.582i 0.299623 + 0.172987i 0.642273 0.766476i \(-0.277991\pi\)
−0.342651 + 0.939463i \(0.611325\pi\)
\(594\) 428.097 54.5466i 0.720702 0.0918293i
\(595\) 240.208 + 416.052i 0.403710 + 0.699247i
\(596\) 166.441 49.8292i 0.279263 0.0836060i
\(597\) 466.942 37.9192i 0.782148 0.0635162i
\(598\) −4.71951 + 3.10407i −0.00789215 + 0.00519075i
\(599\) 554.346 + 412.695i 0.925452 + 0.688973i 0.950504 0.310713i \(-0.100568\pi\)
−0.0250519 + 0.999686i \(0.507975\pi\)
\(600\) −75.5237 + 138.000i −0.125873 + 0.230000i
\(601\) −13.1422 8.64375i −0.0218672 0.0143823i 0.538528 0.842607i \(-0.318980\pi\)
−0.560396 + 0.828225i \(0.689351\pi\)
\(602\) 222.058 + 610.100i 0.368867 + 1.01345i
\(603\) 2.16350 + 3.38054i 0.00358789 + 0.00560620i
\(604\) −474.247 172.612i −0.785177 0.285781i
\(605\) 13.7374 10.2271i 0.0227064 0.0169043i
\(606\) 202.745 + 82.0133i 0.334563 + 0.135335i
\(607\) 256.269 + 271.629i 0.422189 + 0.447494i 0.903200 0.429221i \(-0.141212\pi\)
−0.481011 + 0.876715i \(0.659730\pi\)
\(608\) 106.955 100.907i 0.175913 0.165966i
\(609\) 240.650 594.913i 0.395157 0.976868i
\(610\) −101.690 136.594i −0.166706 0.223925i
\(611\) −88.9953 + 244.513i −0.145655 + 0.400184i
\(612\) 432.724 + 224.124i 0.707066 + 0.366216i
\(613\) −721.940 + 262.765i −1.17772 + 0.428653i −0.855395 0.517977i \(-0.826685\pi\)
−0.322321 + 0.946630i \(0.604463\pi\)
\(614\) −211.841 + 322.089i −0.345018 + 0.524574i
\(615\) 174.660 + 95.5864i 0.283999 + 0.155425i
\(616\) −133.273 + 179.017i −0.216352 + 0.290612i
\(617\) −167.271 254.323i −0.271103 0.412193i 0.674117 0.738624i \(-0.264524\pi\)
−0.945221 + 0.326431i \(0.894154\pi\)
\(618\) 10.1519 + 125.012i 0.0164270 + 0.202284i
\(619\) −139.459 465.827i −0.225298 0.752547i −0.993650 0.112519i \(-0.964108\pi\)
0.768352 0.640028i \(-0.221077\pi\)
\(620\) −11.3347 + 6.54410i −0.0182818 + 0.0105550i
\(621\) 14.7629 + 13.6412i 0.0237727 + 0.0219666i
\(622\) 115.927 200.792i 0.186379 0.322817i
\(623\) −149.951 + 632.694i −0.240692 + 1.01556i
\(624\) 45.8098 45.2420i 0.0734132 0.0725032i
\(625\) 162.832 + 81.7772i 0.260531 + 0.130844i
\(626\) −263.510 + 113.667i −0.420942 + 0.181577i
\(627\) −133.173 + 871.236i −0.212397 + 1.38953i
\(628\) −29.0448 + 498.680i −0.0462496 + 0.794076i
\(629\) −1568.10 276.497i −2.49300 0.439583i
\(630\) −98.8385 203.081i −0.156887 0.322350i
\(631\) −100.912 572.299i −0.159924 0.906972i −0.954145 0.299344i \(-0.903232\pi\)
0.794222 0.607628i \(-0.207879\pi\)
\(632\) −18.3981 157.406i −0.0291109 0.249060i
\(633\) −173.780 + 815.888i −0.274534 + 1.28892i
\(634\) 88.6986 296.274i 0.139903 0.467309i
\(635\) −69.6685 293.954i −0.109714 0.462920i
\(636\) −97.7649 61.1473i −0.153718 0.0961435i
\(637\) −0.550175 + 1.27545i −0.000863697 + 0.00200227i
\(638\) −314.800 375.164i −0.493417 0.588031i
\(639\) −588.978 7.34708i −0.921718 0.0114978i
\(640\) 22.0285 + 18.4841i 0.0344195 + 0.0288814i
\(641\) 50.7543 + 101.060i 0.0791799 + 0.157660i 0.929739 0.368220i \(-0.120033\pi\)
−0.850559 + 0.525880i \(0.823736\pi\)
\(642\) 210.018 + 238.980i 0.327131 + 0.372243i
\(643\) 924.056 + 108.007i 1.43710 + 0.167973i 0.798700 0.601730i \(-0.205522\pi\)
0.638402 + 0.769703i \(0.279596\pi\)
\(644\) −10.3773 + 0.604407i −0.0161138 + 0.000938520i
\(645\) −290.157 + 408.936i −0.449856 + 0.634009i
\(646\) −682.974 + 723.910i −1.05724 + 1.12060i
\(647\) 1.29317i 0.00199871i −1.00000 0.000999355i \(-0.999682\pi\)
1.00000 0.000999355i \(-0.000318105\pi\)
\(648\) −195.489 119.465i −0.301681 0.184359i
\(649\) 1080.56 1.66496
\(650\) −102.324 96.5374i −0.157421 0.148519i
\(651\) −5.03485 + 53.6898i −0.00773403 + 0.0824727i
\(652\) −21.3673 366.863i −0.0327720 0.562673i
\(653\) 96.8391 828.511i 0.148299 1.26878i −0.690098 0.723716i \(-0.742432\pi\)
0.838397 0.545061i \(-0.183493\pi\)
\(654\) 113.636 + 568.212i 0.173756 + 0.868826i
\(655\) −140.311 + 70.4671i −0.214216 + 0.107583i
\(656\) −67.1370 + 80.0108i −0.102343 + 0.121968i
\(657\) −871.056 + 142.412i −1.32581 + 0.216761i
\(658\) −366.802 + 307.783i −0.557449 + 0.467756i
\(659\) −340.463 146.861i −0.516635 0.222855i 0.121765 0.992559i \(-0.461144\pi\)
−0.638401 + 0.769704i \(0.720404\pi\)
\(660\) −172.253 6.08748i −0.260989 0.00922345i
\(661\) 113.060 26.7958i 0.171045 0.0405383i −0.144201 0.989548i \(-0.546061\pi\)
0.315246 + 0.949010i \(0.397913\pi\)
\(662\) −29.9325 8.96120i −0.0452152 0.0135365i
\(663\) −291.728 + 323.724i −0.440012 + 0.488271i
\(664\) −162.905 + 19.0408i −0.245339 + 0.0286760i
\(665\) 454.250 80.0965i 0.683082 0.120446i
\(666\) 726.188 + 181.705i 1.09037 + 0.272831i
\(667\) 3.96098 22.4639i 0.00593851 0.0336789i
\(668\) 51.1168 + 2.97722i 0.0765222 + 0.00445691i
\(669\) −51.8188 132.845i −0.0774571 0.198572i
\(670\) −0.634910 1.47189i −0.000947627 0.00219685i
\(671\) −240.304 + 478.486i −0.358129 + 0.713093i
\(672\) 114.632 29.9505i 0.170583 0.0445691i
\(673\) 160.102 + 37.9449i 0.237893 + 0.0563817i 0.347833 0.937557i \(-0.386918\pi\)
−0.109940 + 0.993938i \(0.535066\pi\)
\(674\) 527.259 + 304.413i 0.782284 + 0.451652i
\(675\) −245.774 + 436.082i −0.364109 + 0.646048i
\(676\) −140.213 242.855i −0.207415 0.359254i
\(677\) 124.013 37.1272i 0.183181 0.0548407i −0.193899 0.981021i \(-0.562113\pi\)
0.377080 + 0.926181i \(0.376928\pi\)
\(678\) −237.628 343.913i −0.350484 0.507247i
\(679\) −444.539 + 292.378i −0.654696 + 0.430601i
\(680\) −156.119 116.226i −0.229586 0.170921i
\(681\) 601.763 + 989.364i 0.883646 + 1.45281i
\(682\) 34.3826 + 22.6138i 0.0504144 + 0.0331581i
\(683\) −59.7782 164.239i −0.0875230 0.240468i 0.888207 0.459443i \(-0.151951\pi\)
−0.975730 + 0.218975i \(0.929729\pi\)
\(684\) 344.308 316.814i 0.503374 0.463179i
\(685\) 369.279 + 134.407i 0.539094 + 0.196214i
\(686\) −390.111 + 290.427i −0.568675 + 0.423363i
\(687\) 51.4429 + 367.151i 0.0748804 + 0.534427i
\(688\) −180.505 191.324i −0.262362 0.278087i
\(689\) 75.0038 70.7625i 0.108859 0.102703i
\(690\) −4.93983 6.32816i −0.00715918 0.00917125i
\(691\) −590.414 793.064i −0.854434 1.14770i −0.987659 0.156618i \(-0.949941\pi\)
0.133225 0.991086i \(-0.457467\pi\)
\(692\) 94.5652 259.816i 0.136655 0.375456i
\(693\) −431.145 + 564.294i −0.622142 + 0.814278i
\(694\) 453.677 165.125i 0.653713 0.237932i
\(695\) 92.6304 140.838i 0.133281 0.202644i
\(696\) 5.94080 + 259.923i 0.00853563 + 0.373453i
\(697\) 422.150 567.046i 0.605668 0.813553i
\(698\) −381.049 579.358i −0.545916 0.830025i
\(699\) 377.909 + 179.100i 0.540642 + 0.256223i
\(700\) −74.2446 247.994i −0.106064 0.354277i
\(701\) −50.7388 + 29.2941i −0.0723806 + 0.0417890i −0.535754 0.844374i \(-0.679972\pi\)
0.463373 + 0.886163i \(0.346639\pi\)
\(702\) 147.550 142.130i 0.210186 0.202464i
\(703\) −764.394 + 1323.97i −1.08733 + 1.88331i
\(704\) 20.8516 87.9798i 0.0296188 0.124971i
\(705\) −356.591 97.9361i −0.505804 0.138916i
\(706\) 53.5552 + 26.8965i 0.0758573 + 0.0380970i
\(707\) −330.457 + 142.545i −0.467407 + 0.201620i
\(708\) −447.744 358.591i −0.632407 0.506484i
\(709\) −80.4158 + 1380.69i −0.113421 + 1.94737i 0.163642 + 0.986520i \(0.447676\pi\)
−0.277064 + 0.960852i \(0.589361\pi\)
\(710\) 231.677 + 40.8509i 0.326306 + 0.0575365i
\(711\) −52.2904 501.553i −0.0735449 0.705419i
\(712\) −45.7434 259.424i −0.0642463 0.364359i
\(713\) 0.222521 + 1.90379i 0.000312091 + 0.00267011i
\(714\) −762.768 + 247.485i −1.06830 + 0.346617i
\(715\) 44.2050 147.655i 0.0618251 0.206510i
\(716\) 115.699 + 488.172i 0.161591 + 0.681805i
\(717\) 1074.40 570.690i 1.49846 0.795942i
\(718\) −54.6882 + 126.782i −0.0761674 + 0.176576i
\(719\) −41.9049 49.9403i −0.0582822 0.0694580i 0.736116 0.676856i \(-0.236658\pi\)
−0.794398 + 0.607398i \(0.792213\pi\)
\(720\) 69.3552 + 59.6858i 0.0963267 + 0.0828970i
\(721\) −158.104 132.665i −0.219285 0.184002i
\(722\) 199.725 + 397.684i 0.276627 + 0.550809i
\(723\) 207.593 613.637i 0.287128 0.848737i
\(724\) −75.6062 8.83709i −0.104428 0.0122059i
\(725\) 567.100 33.0298i 0.782207 0.0455583i
\(726\) 11.9197 + 25.9838i 0.0164183 + 0.0357903i
\(727\) 156.631 166.020i 0.215449 0.228362i −0.610631 0.791915i \(-0.709084\pi\)
0.826080 + 0.563553i \(0.190566\pi\)
\(728\) 105.948i 0.145533i
\(729\) −617.254 387.864i −0.846713 0.532050i
\(730\) 352.511 0.482892
\(731\) 1294.95 + 1221.72i 1.77148 + 1.67130i
\(732\) 258.362 118.520i 0.352954 0.161913i
\(733\) −26.5397 455.670i −0.0362070 0.621650i −0.966790 0.255570i \(-0.917737\pi\)
0.930583 0.366080i \(-0.119300\pi\)
\(734\) −113.626 + 972.133i −0.154804 + 1.32443i
\(735\) −1.86997 0.632611i −0.00254418 0.000860696i
\(736\) 3.76335 1.89003i 0.00511325 0.00256797i
\(737\) −3.23978 + 3.86103i −0.00439591 + 0.00523884i
\(738\) −216.788 + 251.908i −0.293750 + 0.341339i
\(739\) −678.325 + 569.183i −0.917896 + 0.770206i −0.973605 0.228241i \(-0.926703\pi\)
0.0557085 + 0.998447i \(0.482258\pi\)
\(740\) −274.523 118.418i −0.370977 0.160024i
\(741\) 196.272 + 369.507i 0.264874 + 0.498660i
\(742\) 184.638 43.7600i 0.248838 0.0589757i
\(743\) −82.6756 24.7515i −0.111273 0.0333129i 0.230683 0.973029i \(-0.425904\pi\)
−0.341956 + 0.939716i \(0.611089\pi\)
\(744\) −6.74236 20.7805i −0.00906231 0.0279307i
\(745\) −219.305 + 25.6331i −0.294369 + 0.0344069i
\(746\) 638.149 112.523i 0.855427 0.150835i
\(747\) −519.075 + 54.1172i −0.694880 + 0.0724461i
\(748\) −106.268 + 602.677i −0.142070 + 0.805718i
\(749\) −522.646 30.4407i −0.697792 0.0406417i
\(750\) 293.500 366.470i 0.391333 0.488627i
\(751\) 234.301 + 543.170i 0.311985 + 0.723263i 0.999997 0.00243659i \(-0.000775593\pi\)
−0.688012 + 0.725699i \(0.741516\pi\)
\(752\) 87.0616 173.354i 0.115773 0.230524i
\(753\) 390.139 1420.52i 0.518113 1.88648i
\(754\) −226.225 53.6163i −0.300033 0.0711092i
\(755\) 555.450 + 320.689i 0.735696 + 0.424754i
\(756\) 365.916 90.7446i 0.484016 0.120033i
\(757\) −387.136 670.539i −0.511408 0.885785i −0.999913 0.0132236i \(-0.995791\pi\)
0.488504 0.872562i \(-0.337543\pi\)
\(758\) 416.553 124.708i 0.549542 0.164522i
\(759\) −10.8102 + 22.8100i −0.0142426 + 0.0300527i
\(760\) −156.128 + 102.687i −0.205432 + 0.135114i
\(761\) −419.944 312.637i −0.551832 0.410824i 0.284802 0.958586i \(-0.408072\pi\)
−0.836634 + 0.547763i \(0.815480\pi\)
\(762\) 504.132 11.5224i 0.661590 0.0151213i
\(763\) −796.669 523.977i −1.04413 0.686733i
\(764\) −199.334 547.666i −0.260908 0.716840i
\(765\) −492.115 375.997i −0.643288 0.491499i
\(766\) −173.272 63.0657i −0.226203 0.0823312i
\(767\) 411.462 306.322i 0.536456 0.399377i
\(768\) −37.8369 + 29.5359i −0.0492668 + 0.0384582i
\(769\) −281.715 298.601i −0.366340 0.388298i 0.517814 0.855493i \(-0.326746\pi\)
−0.884154 + 0.467196i \(0.845264\pi\)
\(770\) 206.304 194.637i 0.267927 0.252776i
\(771\) 99.3206 13.9162i