Properties

Label 354.3.h.a.5.15
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.15
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(1.69004 + 2.47866i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-2.80901 - 1.11921i) q^{5} +(-4.08502 + 1.14570i) q^{6} +(-7.23899 + 3.34911i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-3.28751 + 8.37808i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(1.69004 + 2.47866i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(-2.80901 - 1.11921i) q^{5} +(-4.08502 + 1.14570i) q^{6} +(-7.23899 + 3.34911i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-3.28751 + 8.37808i) q^{9} +(2.76838 - 3.25919i) q^{10} +(-11.7167 - 3.25313i) q^{11} +(0.309181 - 5.99203i) q^{12} +(8.85995 - 16.7116i) q^{13} +(-1.21959 - 11.2139i) q^{14} +(-1.97320 - 8.85409i) q^{15} +(1.07011 + 3.85420i) q^{16} +(-1.65853 + 3.58486i) q^{17} +(-9.74366 - 8.18909i) q^{18} +(32.3012 - 7.11003i) q^{19} +(3.11783 + 5.18187i) q^{20} +(-20.5355 - 12.2828i) q^{21} +(9.65059 - 14.2336i) q^{22} +(-19.9558 - 3.27158i) q^{23} +(7.89081 + 3.12012i) q^{24} +(-11.5120 - 10.9047i) q^{25} +(18.3959 + 19.4203i) q^{26} +(-26.3225 + 6.01068i) q^{27} +(15.5794 + 3.42929i) q^{28} +(-9.75748 - 28.9592i) q^{29} +(12.7571 + 1.35371i) q^{30} +(-48.2050 - 10.6107i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(-11.7383 - 34.5397i) q^{33} +(-4.05545 - 3.84152i) q^{34} +(24.0827 - 1.30573i) q^{35} +(15.3747 - 9.36043i) q^{36} +(-28.1831 + 41.5670i) q^{37} +(-5.05719 + 46.5001i) q^{38} +(56.3962 - 6.28257i) q^{39} +(-8.35255 + 1.83853i) q^{40} +(25.4489 - 4.17214i) q^{41} +(25.7343 - 21.9749i) q^{42} +(4.05780 + 14.6149i) q^{43} +(14.7178 + 19.3609i) q^{44} +(18.6115 - 19.8547i) q^{45} +(13.3957 - 25.2671i) q^{46} +(-16.2552 + 6.47665i) q^{47} +(-7.74472 + 9.16621i) q^{48} +(9.46445 - 11.1424i) q^{49} +(19.8127 - 10.5040i) q^{50} +(-11.6886 + 1.94763i) q^{51} +(-34.3336 + 15.8844i) q^{52} +(66.0642 - 56.1154i) q^{53} +(3.83077 - 37.9911i) q^{54} +(29.2714 + 22.2515i) q^{55} +(-11.6309 + 19.3307i) q^{56} +(72.2137 + 68.0474i) q^{57} +43.2167 q^{58} +(-8.66999 + 58.3595i) q^{59} +(-7.57483 + 16.4856i) q^{60} +(-27.2200 - 9.17147i) q^{61} +(35.9878 - 59.8122i) q^{62} +(-4.26086 - 71.6591i) q^{63} +(2.96111 - 7.43181i) q^{64} +(-43.5915 + 37.0270i) q^{65} +(51.5901 - 0.134775i) q^{66} +(-60.9785 - 89.9365i) q^{67} +(6.97963 - 3.70036i) q^{68} +(-25.6169 - 54.9926i) q^{69} +(-9.12489 + 32.8649i) q^{70} +(-116.535 + 46.4317i) q^{71} +(5.60207 + 24.8318i) q^{72} +(-29.0778 + 3.16240i) q^{73} +(-42.9810 - 56.5406i) q^{74} +(7.57339 - 46.9638i) q^{75} +(-60.0351 - 27.7752i) q^{76} +(95.7122 - 15.6912i) q^{77} +(-17.0465 + 78.4182i) q^{78} +(-84.1459 + 50.6289i) q^{79} +(1.30771 - 12.0242i) q^{80} +(-59.3845 - 55.0861i) q^{81} +(-5.90030 + 35.9902i) q^{82} +(142.006 - 7.69934i) q^{83} +(17.8298 + 44.4117i) q^{84} +(8.67105 - 8.21365i) q^{85} +(-21.4190 - 1.16130i) q^{86} +(55.2894 - 73.1277i) q^{87} +(-32.5931 + 10.9819i) q^{88} +(35.8053 + 106.266i) q^{89} +(18.2047 + 33.9084i) q^{90} +(-8.16791 + 150.648i) q^{91} +(27.8135 + 29.3624i) q^{92} +(-55.1681 - 137.416i) q^{93} +(-1.33971 - 24.7095i) q^{94} +(-98.6918 - 16.1797i) q^{95} +(-8.78720 - 14.5184i) q^{96} +(77.2459 + 8.40099i) q^{97} +(10.6591 + 17.7156i) q^{98} +(65.7738 - 87.4688i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) 1.69004 + 2.47866i 0.563347 + 0.826220i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) −2.80901 1.11921i −0.561801 0.223842i 0.0719108 0.997411i \(-0.477090\pi\)
−0.633712 + 0.773569i \(0.718470\pi\)
\(6\) −4.08502 + 1.14570i −0.680836 + 0.190950i
\(7\) −7.23899 + 3.34911i −1.03414 + 0.478445i −0.862150 0.506654i \(-0.830882\pi\)
−0.171991 + 0.985098i \(0.555020\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) −3.28751 + 8.37808i −0.365279 + 0.930898i
\(10\) 2.76838 3.25919i 0.276838 0.325919i
\(11\) −11.7167 3.25313i −1.06516 0.295739i −0.309629 0.950857i \(-0.600205\pi\)
−0.755526 + 0.655118i \(0.772619\pi\)
\(12\) 0.309181 5.99203i 0.0257651 0.499336i
\(13\) 8.85995 16.7116i 0.681535 1.28551i −0.265417 0.964134i \(-0.585510\pi\)
0.946951 0.321377i \(-0.104146\pi\)
\(14\) −1.21959 11.2139i −0.0871132 0.800993i
\(15\) −1.97320 8.85409i −0.131546 0.590273i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) −1.65853 + 3.58486i −0.0975608 + 0.210874i −0.950210 0.311609i \(-0.899132\pi\)
0.852650 + 0.522483i \(0.174994\pi\)
\(18\) −9.74366 8.18909i −0.541314 0.454949i
\(19\) 32.3012 7.11003i 1.70006 0.374212i 0.744184 0.667975i \(-0.232839\pi\)
0.955878 + 0.293763i \(0.0949077\pi\)
\(20\) 3.11783 + 5.18187i 0.155891 + 0.259093i
\(21\) −20.5355 12.2828i −0.977881 0.584898i
\(22\) 9.65059 14.2336i 0.438663 0.646980i
\(23\) −19.9558 3.27158i −0.867641 0.142243i −0.288510 0.957477i \(-0.593160\pi\)
−0.579131 + 0.815234i \(0.696608\pi\)
\(24\) 7.89081 + 3.12012i 0.328784 + 0.130005i
\(25\) −11.5120 10.9047i −0.460480 0.436190i
\(26\) 18.3959 + 19.4203i 0.707533 + 0.746934i
\(27\) −26.3225 + 6.01068i −0.974906 + 0.222618i
\(28\) 15.5794 + 3.42929i 0.556407 + 0.122475i
\(29\) −9.75748 28.9592i −0.336465 0.998592i −0.973683 0.227908i \(-0.926811\pi\)
0.637218 0.770684i \(-0.280085\pi\)
\(30\) 12.7571 + 1.35371i 0.425237 + 0.0451236i
\(31\) −48.2050 10.6107i −1.55500 0.342281i −0.647411 0.762141i \(-0.724148\pi\)
−0.907589 + 0.419860i \(0.862079\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) −11.7383 34.5397i −0.355707 1.04666i
\(34\) −4.05545 3.84152i −0.119278 0.112986i
\(35\) 24.0827 1.30573i 0.688078 0.0373065i
\(36\) 15.3747 9.36043i 0.427076 0.260012i
\(37\) −28.1831 + 41.5670i −0.761706 + 1.12343i 0.227048 + 0.973883i \(0.427092\pi\)
−0.988754 + 0.149549i \(0.952218\pi\)
\(38\) −5.05719 + 46.5001i −0.133084 + 1.22369i
\(39\) 56.3962 6.28257i 1.44606 0.161092i
\(40\) −8.35255 + 1.83853i −0.208814 + 0.0459634i
\(41\) 25.4489 4.17214i 0.620706 0.101760i 0.156780 0.987634i \(-0.449889\pi\)
0.463926 + 0.885874i \(0.346440\pi\)
\(42\) 25.7343 21.9749i 0.612721 0.523212i
\(43\) 4.05780 + 14.6149i 0.0943675 + 0.339881i 0.995629 0.0933941i \(-0.0297716\pi\)
−0.901262 + 0.433275i \(0.857358\pi\)
\(44\) 14.7178 + 19.3609i 0.334495 + 0.440020i
\(45\) 18.6115 19.8547i 0.413589 0.441215i
\(46\) 13.3957 25.2671i 0.291212 0.549284i
\(47\) −16.2552 + 6.47665i −0.345855 + 0.137801i −0.536596 0.843839i \(-0.680290\pi\)
0.190741 + 0.981640i \(0.438911\pi\)
\(48\) −7.74472 + 9.16621i −0.161348 + 0.190963i
\(49\) 9.46445 11.1424i 0.193152 0.227396i
\(50\) 19.8127 10.5040i 0.396255 0.210081i
\(51\) −11.6886 + 1.94763i −0.229189 + 0.0381887i
\(52\) −34.3336 + 15.8844i −0.660261 + 0.305469i
\(53\) 66.0642 56.1154i 1.24649 1.05878i 0.250616 0.968087i \(-0.419367\pi\)
0.995879 0.0906951i \(-0.0289089\pi\)
\(54\) 3.83077 37.9911i 0.0709401 0.703539i
\(55\) 29.2714 + 22.2515i 0.532207 + 0.404573i
\(56\) −11.6309 + 19.3307i −0.207695 + 0.345192i
\(57\) 72.2137 + 68.0474i 1.26691 + 1.19381i
\(58\) 43.2167 0.745115
\(59\) −8.66999 + 58.3595i −0.146949 + 0.989144i
\(60\) −7.57483 + 16.4856i −0.126247 + 0.274760i
\(61\) −27.2200 9.17147i −0.446229 0.150352i 0.0872112 0.996190i \(-0.472204\pi\)
−0.533440 + 0.845838i \(0.679101\pi\)
\(62\) 35.9878 59.8122i 0.580448 0.964712i
\(63\) −4.26086 71.6591i −0.0676327 1.13745i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) −43.5915 + 37.0270i −0.670639 + 0.569646i
\(66\) 51.5901 0.134775i 0.781668 0.00204205i
\(67\) −60.9785 89.9365i −0.910127 1.34234i −0.939421 0.342766i \(-0.888636\pi\)
0.0292942 0.999571i \(-0.490674\pi\)
\(68\) 6.97963 3.70036i 0.102642 0.0544171i
\(69\) −25.6169 54.9926i −0.371260 0.796995i
\(70\) −9.12489 + 32.8649i −0.130356 + 0.469499i
\(71\) −116.535 + 46.4317i −1.64133 + 0.653967i −0.994114 0.108336i \(-0.965448\pi\)
−0.647220 + 0.762303i \(0.724069\pi\)
\(72\) 5.60207 + 24.8318i 0.0778066 + 0.344886i
\(73\) −29.0778 + 3.16240i −0.398326 + 0.0433205i −0.305090 0.952324i \(-0.598687\pi\)
−0.0932357 + 0.995644i \(0.529721\pi\)
\(74\) −42.9810 56.5406i −0.580825 0.764062i
\(75\) 7.57339 46.9638i 0.100979 0.626184i
\(76\) −60.0351 27.7752i −0.789935 0.365463i
\(77\) 95.7122 15.6912i 1.24302 0.203782i
\(78\) −17.0465 + 78.4182i −0.218545 + 1.00536i
\(79\) −84.1459 + 50.6289i −1.06514 + 0.640872i −0.936446 0.350812i \(-0.885905\pi\)
−0.128692 + 0.991685i \(0.541078\pi\)
\(80\) 1.30771 12.0242i 0.0163463 0.150302i
\(81\) −59.3845 55.0861i −0.733142 0.680076i
\(82\) −5.90030 + 35.9902i −0.0719549 + 0.438905i
\(83\) 142.006 7.69934i 1.71091 0.0927631i 0.827533 0.561417i \(-0.189744\pi\)
0.883382 + 0.468654i \(0.155261\pi\)
\(84\) 17.8298 + 44.4117i 0.212260 + 0.528711i
\(85\) 8.67105 8.21365i 0.102012 0.0966312i
\(86\) −21.4190 1.16130i −0.249058 0.0135035i
\(87\) 55.2894 73.1277i 0.635510 0.840548i
\(88\) −32.5931 + 10.9819i −0.370376 + 0.124794i
\(89\) 35.8053 + 106.266i 0.402307 + 1.19400i 0.937112 + 0.349029i \(0.113489\pi\)
−0.534805 + 0.844976i \(0.679615\pi\)
\(90\) 18.2047 + 33.9084i 0.202274 + 0.376760i
\(91\) −8.16791 + 150.648i −0.0897573 + 1.65548i
\(92\) 27.8135 + 29.3624i 0.302321 + 0.319156i
\(93\) −55.1681 137.416i −0.593205 1.47760i
\(94\) −1.33971 24.7095i −0.0142522 0.262867i
\(95\) −98.6918 16.1797i −1.03886 0.170313i
\(96\) −8.78720 14.5184i −0.0915333 0.151234i
\(97\) 77.2459 + 8.40099i 0.796349 + 0.0866082i 0.497243 0.867612i \(-0.334346\pi\)
0.299107 + 0.954220i \(0.403311\pi\)
\(98\) 10.6591 + 17.7156i 0.108766 + 0.180771i
\(99\) 65.7738 87.4688i 0.664382 0.883524i
\(100\) 5.13070 + 31.2959i 0.0513070 + 0.312959i
\(101\) −20.5989 + 44.5238i −0.203950 + 0.440830i −0.982378 0.186903i \(-0.940155\pi\)
0.778429 + 0.627733i \(0.216017\pi\)
\(102\) 2.66795 16.5444i 0.0261564 0.162200i
\(103\) −121.742 + 92.5456i −1.18196 + 0.898501i −0.996454 0.0841427i \(-0.973185\pi\)
−0.185504 + 0.982644i \(0.559392\pi\)
\(104\) −5.78434 53.1861i −0.0556186 0.511405i
\(105\) 43.9373 + 57.4862i 0.418450 + 0.547487i
\(106\) 45.3730 + 113.878i 0.428047 + 1.07432i
\(107\) −101.921 28.2982i −0.952532 0.264469i −0.243703 0.969850i \(-0.578362\pi\)
−0.708829 + 0.705381i \(0.750776\pi\)
\(108\) 49.1853 + 22.2892i 0.455419 + 0.206382i
\(109\) 33.1341 + 62.4975i 0.303982 + 0.573372i 0.987697 0.156378i \(-0.0499816\pi\)
−0.683715 + 0.729749i \(0.739637\pi\)
\(110\) −43.0389 + 29.1811i −0.391263 + 0.265283i
\(111\) −150.661 + 0.393591i −1.35731 + 0.00354587i
\(112\) −20.6547 24.3166i −0.184417 0.217112i
\(113\) −116.086 46.2531i −1.02731 0.409319i −0.205247 0.978710i \(-0.565800\pi\)
−0.822067 + 0.569391i \(0.807179\pi\)
\(114\) −123.805 + 66.0521i −1.08601 + 0.579405i
\(115\) 52.3943 + 31.5246i 0.455602 + 0.274127i
\(116\) −19.5150 + 57.9183i −0.168232 + 0.499296i
\(117\) 110.884 + 129.169i 0.947729 + 1.10401i
\(118\) −74.2974 37.9722i −0.629639 0.321799i
\(119\) 31.5054i 0.264751i
\(120\) −18.6733 17.5959i −0.155610 0.146633i
\(121\) 23.0187 + 13.8499i 0.190237 + 0.114462i
\(122\) 24.5829 32.3383i 0.201499 0.265068i
\(123\) 53.3511 + 56.0282i 0.433749 + 0.455514i
\(124\) 63.9086 + 75.2391i 0.515392 + 0.606767i
\(125\) 51.8737 + 112.123i 0.414990 + 0.896986i
\(126\) 97.9604 + 26.6481i 0.777463 + 0.211493i
\(127\) 4.13061 + 7.79116i 0.0325245 + 0.0613477i 0.899242 0.437452i \(-0.144119\pi\)
−0.866717 + 0.498800i \(0.833774\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) −29.3675 + 34.7577i −0.227655 + 0.269439i
\(130\) −29.9387 75.1406i −0.230298 0.578004i
\(131\) 91.3820 + 48.4477i 0.697573 + 0.369830i 0.779150 0.626837i \(-0.215651\pi\)
−0.0815775 + 0.996667i \(0.525996\pi\)
\(132\) −23.1154 + 69.2010i −0.175117 + 0.524250i
\(133\) −210.016 + 159.650i −1.57906 + 1.20037i
\(134\) 148.067 41.1106i 1.10498 0.306796i
\(135\) 80.6672 + 12.5763i 0.597535 + 0.0931580i
\(136\) 1.80744 + 11.0249i 0.0132900 + 0.0810656i
\(137\) −32.9313 149.609i −0.240375 1.09203i −0.929912 0.367783i \(-0.880117\pi\)
0.689537 0.724250i \(-0.257814\pi\)
\(138\) 85.2678 9.49889i 0.617883 0.0688326i
\(139\) 20.3950 + 2.21809i 0.146727 + 0.0159575i 0.181188 0.983449i \(-0.442006\pi\)
−0.0344609 + 0.999406i \(0.510971\pi\)
\(140\) −39.9246 27.0695i −0.285175 0.193354i
\(141\) −43.5254 29.3452i −0.308690 0.208122i
\(142\) −9.60451 177.145i −0.0676374 1.24750i
\(143\) −158.175 + 166.983i −1.10612 + 1.16771i
\(144\) −35.8088 3.70524i −0.248672 0.0257308i
\(145\) −5.00258 + 92.2672i −0.0345006 + 0.636325i
\(146\) 8.89218 40.3976i 0.0609053 0.276696i
\(147\) 43.6136 + 4.62801i 0.296691 + 0.0314831i
\(148\) 95.1833 32.0710i 0.643131 0.216696i
\(149\) 46.0628 209.265i 0.309146 1.40447i −0.524143 0.851630i \(-0.675614\pi\)
0.833290 0.552836i \(-0.186455\pi\)
\(150\) 59.5203 + 31.3567i 0.396802 + 0.209045i
\(151\) 36.1897 34.2807i 0.239667 0.227025i −0.558433 0.829550i \(-0.688597\pi\)
0.798100 + 0.602525i \(0.205839\pi\)
\(152\) 64.3333 67.9159i 0.423246 0.446815i
\(153\) −24.5818 25.6806i −0.160665 0.167847i
\(154\) −22.1907 + 135.357i −0.144096 + 0.878945i
\(155\) 123.533 + 83.7571i 0.796984 + 0.540368i
\(156\) −97.3973 58.2560i −0.624342 0.373436i
\(157\) −84.4694 + 50.8236i −0.538022 + 0.323717i −0.758498 0.651675i \(-0.774066\pi\)
0.220476 + 0.975392i \(0.429239\pi\)
\(158\) −29.8551 135.633i −0.188956 0.858437i
\(159\) 250.742 + 68.9132i 1.57700 + 0.433417i
\(160\) 15.5241 + 7.18220i 0.0970255 + 0.0448888i
\(161\) 155.416 43.1511i 0.965319 0.268019i
\(162\) 100.641 54.7114i 0.621242 0.337725i
\(163\) −127.402 + 13.8558i −0.781605 + 0.0850047i −0.490217 0.871600i \(-0.663083\pi\)
−0.291388 + 0.956605i \(0.594117\pi\)
\(164\) −45.5692 24.1593i −0.277861 0.147313i
\(165\) −5.68410 + 110.160i −0.0344491 + 0.667635i
\(166\) −53.8057 + 193.791i −0.324131 + 1.16741i
\(167\) 72.5415 + 61.6173i 0.434380 + 0.368966i 0.837734 0.546078i \(-0.183880\pi\)
−0.403354 + 0.915044i \(0.632156\pi\)
\(168\) −67.5711 + 3.84067i −0.402209 + 0.0228611i
\(169\) −105.940 156.249i −0.626861 0.924551i
\(170\) 7.09230 + 15.3298i 0.0417194 + 0.0901751i
\(171\) −46.6222 + 293.996i −0.272644 + 1.71928i
\(172\) 11.2283 28.1810i 0.0652810 0.163843i
\(173\) 64.1813 84.4290i 0.370990 0.488029i −0.572279 0.820059i \(-0.693940\pi\)
0.943269 + 0.332030i \(0.107734\pi\)
\(174\) 73.0380 + 107.120i 0.419759 + 0.615629i
\(175\) 119.856 + 40.3843i 0.684894 + 0.230768i
\(176\) 48.6398i 0.276362i
\(177\) −159.306 + 77.1401i −0.900034 + 0.435820i
\(178\) −158.585 −0.890926
\(179\) −50.8657 + 150.964i −0.284166 + 0.843374i 0.706579 + 0.707635i \(0.250238\pi\)
−0.990745 + 0.135740i \(0.956659\pi\)
\(180\) −53.6640 + 9.08594i −0.298133 + 0.0504775i
\(181\) −148.283 112.722i −0.819244 0.622773i 0.109295 0.994009i \(-0.465141\pi\)
−0.928538 + 0.371236i \(0.878934\pi\)
\(182\) −198.208 78.9733i −1.08906 0.433919i
\(183\) −23.2699 82.9692i −0.127158 0.453384i
\(184\) −51.9105 + 24.0163i −0.282122 + 0.130524i
\(185\) 125.689 85.2191i 0.679399 0.460644i
\(186\) 209.075 11.8836i 1.12406 0.0638903i
\(187\) 31.0946 36.6074i 0.166281 0.195761i
\(188\) 33.7203 + 9.36239i 0.179363 + 0.0497999i
\(189\) 170.417 131.668i 0.901680 0.696657i
\(190\) 66.2491 124.959i 0.348680 0.657680i
\(191\) 28.5018 + 262.070i 0.149224 + 1.37209i 0.794092 + 0.607798i \(0.207947\pi\)
−0.644868 + 0.764294i \(0.723088\pi\)
\(192\) 23.4253 5.22051i 0.122007 0.0271901i
\(193\) −9.14625 32.9418i −0.0473899 0.170683i 0.936068 0.351818i \(-0.114437\pi\)
−0.983458 + 0.181135i \(0.942023\pi\)
\(194\) −46.1401 + 99.7301i −0.237835 + 0.514073i
\(195\) −165.449 45.4714i −0.848455 0.233187i
\(196\) −28.5554 + 6.28551i −0.145691 + 0.0320689i
\(197\) −145.974 242.610i −0.740983 1.23152i −0.966345 0.257248i \(-0.917184\pi\)
0.225363 0.974275i \(-0.427643\pi\)
\(198\) 87.5235 + 127.646i 0.442038 + 0.644679i
\(199\) 165.143 243.568i 0.829865 1.22396i −0.142338 0.989818i \(-0.545462\pi\)
0.972203 0.234141i \(-0.0752278\pi\)
\(200\) −44.2591 7.25591i −0.221296 0.0362796i
\(201\) 119.866 303.142i 0.596348 1.50817i
\(202\) −50.3684 47.7115i −0.249349 0.236196i
\(203\) 167.622 + 176.956i 0.825723 + 0.871705i
\(204\) 20.9678 + 11.0464i 0.102783 + 0.0541488i
\(205\) −76.1558 16.7632i −0.371492 0.0817715i
\(206\) −69.0544 204.946i −0.335215 0.994884i
\(207\) 93.0144 156.436i 0.449345 0.755727i
\(208\) 73.8912 + 16.2647i 0.355246 + 0.0781955i
\(209\) −401.593 21.7738i −1.92150 0.104181i
\(210\) −96.8824 + 32.9256i −0.461345 + 0.156788i
\(211\) 126.711 + 120.027i 0.600526 + 0.568848i 0.926389 0.376569i \(-0.122896\pi\)
−0.325863 + 0.945417i \(0.605655\pi\)
\(212\) −173.106 + 9.38552i −0.816536 + 0.0442713i
\(213\) −312.037 210.379i −1.46496 0.987693i
\(214\) 83.9483 123.814i 0.392282 0.578572i
\(215\) 4.95874 45.5948i 0.0230639 0.212069i
\(216\) −52.0818 + 55.8524i −0.241119 + 0.258576i
\(217\) 384.492 84.6330i 1.77185 0.390014i
\(218\) −98.7202 + 16.1844i −0.452845 + 0.0742402i
\(219\) −56.9812 66.7293i −0.260188 0.304700i
\(220\) −19.6734 70.8571i −0.0894245 0.322078i
\(221\) 45.2144 + 59.4785i 0.204590 + 0.269134i
\(222\) 67.5051 202.091i 0.304077 0.910321i
\(223\) 85.8201 161.874i 0.384843 0.725892i −0.613099 0.790006i \(-0.710077\pi\)
0.997943 + 0.0641142i \(0.0204222\pi\)
\(224\) 41.9155 16.7007i 0.187123 0.0745566i
\(225\) 129.207 60.5990i 0.574252 0.269329i
\(226\) 114.408 134.691i 0.506229 0.595979i
\(227\) 111.561 59.1458i 0.491458 0.260554i −0.204198 0.978930i \(-0.565459\pi\)
0.695656 + 0.718375i \(0.255114\pi\)
\(228\) −32.6166 195.748i −0.143055 0.858543i
\(229\) 116.671 53.9779i 0.509482 0.235712i −0.148269 0.988947i \(-0.547370\pi\)
0.657751 + 0.753236i \(0.271508\pi\)
\(230\) −65.9079 + 55.9827i −0.286556 + 0.243403i
\(231\) 200.651 + 210.719i 0.868618 + 0.912204i
\(232\) −68.8090 52.3073i −0.296591 0.225462i
\(233\) −164.335 + 273.127i −0.705300 + 1.17222i 0.272395 + 0.962185i \(0.412184\pi\)
−0.977695 + 0.210031i \(0.932643\pi\)
\(234\) −223.181 + 90.2776i −0.953767 + 0.385802i
\(235\) 52.9096 0.225147
\(236\) 84.4396 82.4255i 0.357795 0.349260i
\(237\) −267.702 123.004i −1.12954 0.519005i
\(238\) 42.2230 + 14.2266i 0.177408 + 0.0597756i
\(239\) −36.3927 + 60.4851i −0.152271 + 0.253076i −0.923598 0.383363i \(-0.874766\pi\)
0.771327 + 0.636439i \(0.219593\pi\)
\(240\) 32.0139 17.0800i 0.133391 0.0711666i
\(241\) −9.10443 + 22.8504i −0.0377777 + 0.0948149i −0.946655 0.322248i \(-0.895561\pi\)
0.908877 + 0.417063i \(0.136941\pi\)
\(242\) −28.9557 + 24.5952i −0.119652 + 0.101633i
\(243\) 36.1775 240.292i 0.148879 0.988855i
\(244\) 32.2386 + 47.5483i 0.132125 + 0.194870i
\(245\) −39.0564 + 20.7064i −0.159414 + 0.0845159i
\(246\) −99.1794 + 46.2002i −0.403168 + 0.187806i
\(247\) 167.367 602.800i 0.677598 2.44049i
\(248\) −129.693 + 51.6743i −0.522955 + 0.208364i
\(249\) 259.080 + 338.972i 1.04048 + 1.36133i
\(250\) −173.690 + 18.8899i −0.694759 + 0.0755596i
\(251\) −80.0677 105.327i −0.318995 0.419630i 0.608449 0.793593i \(-0.291792\pi\)
−0.927444 + 0.373963i \(0.877999\pi\)
\(252\) −79.9484 + 119.252i −0.317255 + 0.473221i
\(253\) 223.173 + 103.251i 0.882106 + 0.408106i
\(254\) −12.3068 + 2.01760i −0.0484520 + 0.00794330i
\(255\) 35.0133 + 7.61116i 0.137307 + 0.0298477i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −10.3417 + 95.0906i −0.0402402 + 0.370002i 0.956653 + 0.291232i \(0.0940650\pi\)
−0.996893 + 0.0787707i \(0.974901\pi\)
\(258\) −33.3205 55.0530i −0.129149 0.213384i
\(259\) 64.8047 395.291i 0.250211 1.52622i
\(260\) 114.221 6.19290i 0.439313 0.0238188i
\(261\) 274.700 + 13.4547i 1.05249 + 0.0515506i
\(262\) −106.193 + 100.592i −0.405318 + 0.383938i
\(263\) 325.726 + 17.6603i 1.23850 + 0.0671495i 0.661721 0.749750i \(-0.269826\pi\)
0.576780 + 0.816900i \(0.304309\pi\)
\(264\) −82.3041 62.2274i −0.311758 0.235710i
\(265\) −248.380 + 83.6889i −0.937282 + 0.315807i
\(266\) −119.125 353.551i −0.447839 1.32914i
\(267\) −202.886 + 268.344i −0.759872 + 1.00503i
\(268\) −11.7654 + 217.001i −0.0439009 + 0.809705i
\(269\) 128.722 + 135.890i 0.478519 + 0.505167i 0.919900 0.392153i \(-0.128270\pi\)
−0.441381 + 0.897320i \(0.645511\pi\)
\(270\) −53.2807 + 102.430i −0.197336 + 0.379370i
\(271\) 3.80032 + 70.0927i 0.0140233 + 0.258645i 0.997135 + 0.0756394i \(0.0240998\pi\)
−0.983112 + 0.183005i \(0.941417\pi\)
\(272\) −15.5916 2.55611i −0.0573220 0.00939747i
\(273\) −387.210 + 234.357i −1.41835 + 0.858449i
\(274\) 215.373 + 23.4233i 0.786034 + 0.0854864i
\(275\) 99.4082 + 165.218i 0.361484 + 0.600792i
\(276\) −25.7733 + 118.564i −0.0933816 + 0.429579i
\(277\) −23.4273 142.900i −0.0845750 0.515885i −0.994806 0.101785i \(-0.967545\pi\)
0.910231 0.414100i \(-0.135904\pi\)
\(278\) −12.1822 + 26.3314i −0.0438209 + 0.0947174i
\(279\) 247.372 368.982i 0.886638 1.32252i
\(280\) 54.3065 41.2827i 0.193952 0.147438i
\(281\) −37.4352 344.211i −0.133221 1.22495i −0.849672 0.527311i \(-0.823200\pi\)
0.716451 0.697637i \(-0.245765\pi\)
\(282\) 58.9823 45.0808i 0.209157 0.159861i
\(283\) 66.9418 + 168.011i 0.236543 + 0.593679i 0.998547 0.0538940i \(-0.0171633\pi\)
−0.762003 + 0.647573i \(0.775784\pi\)
\(284\) 241.744 + 67.1198i 0.851210 + 0.236337i
\(285\) −126.689 271.968i −0.444524 0.954274i
\(286\) −152.362 287.386i −0.532735 1.00485i
\(287\) −170.252 + 115.433i −0.593211 + 0.402207i
\(288\) 21.1356 46.3173i 0.0733873 0.160824i
\(289\) 176.994 + 208.374i 0.612436 + 0.721016i
\(290\) −121.396 48.3686i −0.418607 0.166788i
\(291\) 109.726 + 205.664i 0.377064 + 0.706750i
\(292\) 50.1248 + 30.1591i 0.171660 + 0.103285i
\(293\) 124.426 369.283i 0.424662 1.26035i −0.495429 0.868648i \(-0.664989\pi\)
0.920091 0.391704i \(-0.128114\pi\)
\(294\) −25.8966 + 56.3604i −0.0880835 + 0.191702i
\(295\) 89.6706 154.229i 0.303968 0.522809i
\(296\) 142.045i 0.479882i
\(297\) 327.966 + 15.2049i 1.10426 + 0.0511951i
\(298\) 259.654 + 156.229i 0.871322 + 0.524257i
\(299\) −231.480 + 304.507i −0.774182 + 1.01842i
\(300\) −68.9008 + 65.6087i −0.229669 + 0.218696i
\(301\) −78.3213 92.2069i −0.260204 0.306335i
\(302\) 29.6006 + 63.9807i 0.0980153 + 0.211857i
\(303\) −145.172 + 24.1894i −0.479117 + 0.0798331i
\(304\) 61.9694 + 116.887i 0.203847 + 0.384496i
\(305\) 66.1963 + 56.2276i 0.217037 + 0.184353i
\(306\) 45.5169 21.3478i 0.148748 0.0697640i
\(307\) 16.0786 + 40.3541i 0.0523732 + 0.131447i 0.952835 0.303487i \(-0.0981510\pi\)
−0.900462 + 0.434934i \(0.856772\pi\)
\(308\) −171.383 90.8618i −0.556440 0.295006i
\(309\) −435.138 145.350i −1.40821 0.470389i
\(310\) −168.032 + 127.735i −0.542040 + 0.412048i
\(311\) 261.983 72.7391i 0.842388 0.233888i 0.180579 0.983560i \(-0.442203\pi\)
0.661809 + 0.749673i \(0.269789\pi\)
\(312\) 122.055 104.224i 0.391200 0.334052i
\(313\) 33.0678 + 201.705i 0.105648 + 0.644424i 0.985565 + 0.169297i \(0.0541497\pi\)
−0.879917 + 0.475127i \(0.842402\pi\)
\(314\) −29.9699 136.154i −0.0954454 0.433613i
\(315\) −68.2328 + 206.060i −0.216612 + 0.654158i
\(316\) 195.255 + 21.2352i 0.617894 + 0.0672000i
\(317\) −261.455 177.271i −0.824779 0.559214i 0.0741811 0.997245i \(-0.476366\pi\)
−0.898960 + 0.438031i \(0.855676\pi\)
\(318\) −205.582 + 304.922i −0.646484 + 0.958876i
\(319\) 20.1177 + 371.048i 0.0630648 + 1.16316i
\(320\) −16.6355 + 17.5619i −0.0519860 + 0.0548810i
\(321\) −102.109 300.453i −0.318097 0.935989i
\(322\) −12.3494 + 227.772i −0.0383523 + 0.707366i
\(323\) −28.0841 + 127.587i −0.0869478 + 0.395008i
\(324\) 27.8778 + 159.583i 0.0860425 + 0.492541i
\(325\) −284.232 + 95.7689i −0.874560 + 0.294673i
\(326\) 38.9603 176.998i 0.119510 0.542940i
\(327\) −98.9121 + 187.752i −0.302483 + 0.574164i
\(328\) 52.9551 50.1618i 0.161449 0.152932i
\(329\) 95.9799 101.325i 0.291732 0.307978i
\(330\) −145.068 57.3616i −0.439599 0.173823i
\(331\) −3.59064 + 21.9019i −0.0108479 + 0.0661690i −0.991696 0.128607i \(-0.958950\pi\)
0.980848 + 0.194776i \(0.0623978\pi\)
\(332\) −235.419 159.618i −0.709092 0.480777i
\(333\) −255.599 372.773i −0.767565 1.11944i
\(334\) −115.335 + 69.3950i −0.345315 + 0.207769i
\(335\) 70.6311 + 320.880i 0.210839 + 0.957851i
\(336\) 25.3652 92.2920i 0.0754918 0.274679i
\(337\) −289.394 133.888i −0.858735 0.397293i −0.0594400 0.998232i \(-0.518931\pi\)
−0.799295 + 0.600939i \(0.794794\pi\)
\(338\) 257.241 71.4225i 0.761067 0.211309i
\(339\) −81.5454 365.909i −0.240547 1.07938i
\(340\) −23.7473 + 2.58267i −0.0698450 + 0.00759610i
\(341\) 530.286 + 281.140i 1.55509 + 0.824457i
\(342\) −372.956 195.239i −1.09052 0.570875i
\(343\) 73.3630 264.230i 0.213886 0.770349i
\(344\) 32.6974 + 27.7734i 0.0950506 + 0.0807367i
\(345\) 10.4098 + 183.145i 0.0301733 + 0.530856i
\(346\) 84.1687 + 124.140i 0.243262 + 0.358785i
\(347\) 133.685 + 288.956i 0.385261 + 0.832727i 0.999064 + 0.0432678i \(0.0137769\pi\)
−0.613803 + 0.789459i \(0.710361\pi\)
\(348\) −176.541 + 49.5135i −0.507302 + 0.142280i
\(349\) 39.4803 99.0880i 0.113124 0.283920i −0.861504 0.507751i \(-0.830477\pi\)
0.974628 + 0.223831i \(0.0718564\pi\)
\(350\) −108.245 + 142.394i −0.309271 + 0.406839i
\(351\) −132.767 + 493.146i −0.378255 + 1.40497i
\(352\) 65.1862 + 21.9638i 0.185188 + 0.0623971i
\(353\) 54.8697i 0.155438i 0.996975 + 0.0777192i \(0.0247637\pi\)
−0.996975 + 0.0777192i \(0.975236\pi\)
\(354\) −31.4455 248.333i −0.0888292 0.701505i
\(355\) 379.314 1.06849
\(356\) 71.6106 212.533i 0.201153 0.597002i
\(357\) 78.0911 53.2454i 0.218743 0.149147i
\(358\) −179.351 136.339i −0.500979 0.380835i
\(359\) 56.4584 + 22.4951i 0.157266 + 0.0626604i 0.447443 0.894313i \(-0.352335\pi\)
−0.290177 + 0.956973i \(0.593714\pi\)
\(360\) 12.0557 76.0225i 0.0334881 0.211174i
\(361\) 665.179 307.744i 1.84260 0.852478i
\(362\) 218.027 147.826i 0.602284 0.408359i
\(363\) 4.57340 + 80.4624i 0.0125989 + 0.221660i
\(364\) 195.342 229.974i 0.536653 0.631797i
\(365\) 85.2191 + 23.6610i 0.233477 + 0.0648245i
\(366\) 121.702 + 6.27965i 0.332519 + 0.0171575i
\(367\) 173.539 327.329i 0.472858 0.891905i −0.526276 0.850314i \(-0.676412\pi\)
0.999135 0.0415917i \(-0.0132429\pi\)
\(368\) −8.74560 80.4144i −0.0237652 0.218517i
\(369\) −48.7092 + 226.929i −0.132003 + 0.614985i
\(370\) 57.4532 + 206.928i 0.155279 + 0.559264i
\(371\) −290.301 + 627.475i −0.782482 + 1.69131i
\(372\) −78.4838 + 285.565i −0.210978 + 0.767648i
\(373\) −565.850 + 124.553i −1.51702 + 0.333922i −0.893924 0.448220i \(-0.852058\pi\)
−0.623101 + 0.782142i \(0.714127\pi\)
\(374\) 35.0195 + 58.2029i 0.0936351 + 0.155623i
\(375\) −190.247 + 318.070i −0.507324 + 0.848188i
\(376\) −27.7741 + 40.9637i −0.0738672 + 0.108946i
\(377\) −570.406 93.5133i −1.51301 0.248046i
\(378\) 99.5056 + 287.847i 0.263242 + 0.761500i
\(379\) 357.216 + 338.373i 0.942523 + 0.892805i 0.994382 0.105850i \(-0.0337562\pi\)
−0.0518596 + 0.998654i \(0.516515\pi\)
\(380\) 137.553 + 145.213i 0.361981 + 0.382139i
\(381\) −12.3307 + 23.4058i −0.0323641 + 0.0614325i
\(382\) −364.092 80.1426i −0.953120 0.209797i
\(383\) −172.563 512.149i −0.450557 1.33720i −0.896857 0.442321i \(-0.854155\pi\)
0.446300 0.894883i \(-0.352741\pi\)
\(384\) −3.58152 + 33.7516i −0.00932688 + 0.0878949i
\(385\) −286.418 63.0454i −0.743943 0.163754i
\(386\) 48.2782 + 2.61757i 0.125073 + 0.00678126i
\(387\) −135.785 14.0500i −0.350865 0.0363050i
\(388\) −112.822 106.870i −0.290777 0.275439i
\(389\) 9.87317 0.535308i 0.0253809 0.00137611i −0.0414441 0.999141i \(-0.513196\pi\)
0.0668250 + 0.997765i \(0.478713\pi\)
\(390\) 135.650 201.199i 0.347821 0.515894i
\(391\) 44.8254 66.1126i 0.114643 0.169086i
\(392\) 4.47073 41.1077i 0.0114049 0.104867i
\(393\) 34.3541 + 308.384i 0.0874151 + 0.784691i
\(394\) 391.058 86.0784i 0.992533 0.218473i
\(395\) 293.031 48.0400i 0.741850 0.121620i
\(396\) −210.592 + 59.6574i −0.531798 + 0.150650i
\(397\) 4.31251 + 15.5322i 0.0108627 + 0.0391240i 0.968783 0.247911i \(-0.0797441\pi\)
−0.957920 + 0.287035i \(0.907330\pi\)
\(398\) 251.854 + 331.308i 0.632798 + 0.832432i
\(399\) −750.652 250.742i −1.88133 0.628427i
\(400\) 29.7099 56.0389i 0.0742748 0.140097i
\(401\) 446.440 177.878i 1.11332 0.443586i 0.260330 0.965520i \(-0.416169\pi\)
0.852986 + 0.521934i \(0.174789\pi\)
\(402\) 352.139 + 297.529i 0.875967 + 0.740122i
\(403\) −604.416 + 711.574i −1.49979 + 1.76569i
\(404\) 86.6866 45.9583i 0.214571 0.113758i
\(405\) 105.158 + 221.201i 0.259651 + 0.546176i
\(406\) −312.845 + 144.738i −0.770554 + 0.356496i
\(407\) 465.436 395.345i 1.14358 0.971364i
\(408\) −24.2724 + 23.1126i −0.0594911 + 0.0566486i
\(409\) 126.239 + 95.9641i 0.308652 + 0.234631i 0.748020 0.663676i \(-0.231005\pi\)
−0.439368 + 0.898307i \(0.644798\pi\)
\(410\) 56.8547 94.4932i 0.138670 0.230471i
\(411\) 315.173 334.470i 0.766845 0.813796i
\(412\) 305.848 0.742349
\(413\) −132.691 451.500i −0.321285 1.09322i
\(414\) 167.651 + 195.297i 0.404954 + 0.471731i
\(415\) −407.513 137.307i −0.981958 0.330860i
\(416\) −55.1640 + 91.6833i −0.132606 + 0.220392i
\(417\) 28.9705 + 54.3009i 0.0694736 + 0.130218i
\(418\) 210.525 528.377i 0.503647 1.26406i
\(419\) −304.057 + 258.268i −0.725672 + 0.616392i −0.932155 0.362059i \(-0.882074\pi\)
0.206483 + 0.978450i \(0.433798\pi\)
\(420\) −0.378039 144.708i −0.000900093 0.344543i
\(421\) −156.193 230.367i −0.371005 0.547191i 0.595660 0.803237i \(-0.296891\pi\)
−0.966665 + 0.256046i \(0.917580\pi\)
\(422\) −218.076 + 115.616i −0.516767 + 0.273973i
\(423\) −0.822811 157.479i −0.00194518 0.372291i
\(424\) 65.5894 236.232i 0.154692 0.557150i
\(425\) 58.1850 23.1830i 0.136906 0.0545483i
\(426\) 422.850 323.188i 0.992605 0.758658i
\(427\) 227.761 24.7705i 0.533399 0.0580106i
\(428\) 128.026 + 168.416i 0.299127 + 0.393495i
\(429\) −681.215 109.853i −1.58791 0.256067i
\(430\) 58.8663 + 27.2345i 0.136898 + 0.0633359i
\(431\) −538.679 + 88.3119i −1.24983 + 0.204900i −0.750127 0.661294i \(-0.770008\pi\)
−0.499708 + 0.866194i \(0.666559\pi\)
\(432\) −51.3344 95.0199i −0.118830 0.219953i
\(433\) −472.354 + 284.206i −1.09089 + 0.656365i −0.943052 0.332647i \(-0.892058\pi\)
−0.147836 + 0.989012i \(0.547231\pi\)
\(434\) −60.1975 + 553.507i −0.138704 + 1.27536i
\(435\) −237.154 + 143.536i −0.545181 + 0.329967i
\(436\) 22.8881 139.611i 0.0524957 0.320210i
\(437\) −667.855 + 36.2101i −1.52827 + 0.0828606i
\(438\) 115.160 46.2329i 0.262922 0.105555i
\(439\) −411.182 + 389.492i −0.936633 + 0.887226i −0.993805 0.111139i \(-0.964550\pi\)
0.0571720 + 0.998364i \(0.481792\pi\)
\(440\) 103.845 + 5.63033i 0.236012 + 0.0127962i
\(441\) 62.2375 + 115.925i 0.141128 + 0.262868i
\(442\) −100.129 + 33.7374i −0.226537 + 0.0763291i
\(443\) 170.788 + 506.881i 0.385527 + 1.14420i 0.948241 + 0.317551i \(0.102860\pi\)
−0.562715 + 0.826651i \(0.690243\pi\)
\(444\) 240.357 + 181.726i 0.541344 + 0.409292i
\(445\) 18.3571 338.577i 0.0412519 0.760847i
\(446\) 178.188 + 188.111i 0.399524 + 0.421773i
\(447\) 596.546 239.493i 1.33456 0.535779i
\(448\) 3.45457 + 63.7159i 0.00771110 + 0.142223i
\(449\) 454.006 + 74.4304i 1.01115 + 0.165769i 0.644511 0.764595i \(-0.277061\pi\)
0.366637 + 0.930364i \(0.380509\pi\)
\(450\) 22.8691 + 200.525i 0.0508202 + 0.445611i
\(451\) −311.750 33.9049i −0.691243 0.0751772i
\(452\) 128.849 + 214.149i 0.285064 + 0.473780i
\(453\) 146.132 + 31.7662i 0.322588 + 0.0701240i
\(454\) 28.8898 + 176.220i 0.0636339 + 0.388150i
\(455\) 191.551 414.031i 0.420991 0.909957i
\(456\) 277.067 + 44.6798i 0.607602 + 0.0979820i
\(457\) −9.34338 + 7.10265i −0.0204450 + 0.0155419i −0.615347 0.788256i \(-0.710984\pi\)
0.594902 + 0.803798i \(0.297191\pi\)
\(458\) 19.6562 + 180.735i 0.0429174 + 0.394619i
\(459\) 22.1092 104.331i 0.0481682 0.227301i
\(460\) −45.2657 113.608i −0.0984037 0.246975i
\(461\) 39.4431 + 10.9513i 0.0855598 + 0.0237556i 0.310044 0.950722i \(-0.399656\pi\)
−0.224485 + 0.974478i \(0.572070\pi\)
\(462\) −373.008 + 173.757i −0.807378 + 0.376096i
\(463\) 321.891 + 607.150i 0.695228 + 1.31134i 0.939806 + 0.341709i \(0.111006\pi\)
−0.244578 + 0.969630i \(0.578649\pi\)
\(464\) 101.173 68.5969i 0.218045 0.147838i
\(465\) 1.16971 + 447.748i 0.00251550 + 0.962899i
\(466\) −291.833 343.572i −0.626250 0.737279i
\(467\) −453.840 180.826i −0.971821 0.387209i −0.170443 0.985368i \(-0.554520\pi\)
−0.801378 + 0.598159i \(0.795899\pi\)
\(468\) −20.2087 339.870i −0.0431810 0.726218i
\(469\) 742.630 + 446.826i 1.58343 + 0.952720i
\(470\) −23.8919 + 70.9086i −0.0508338 + 0.150869i
\(471\) −268.731 123.477i −0.570555 0.262159i
\(472\) 72.3357 + 150.385i 0.153254 + 0.318612i
\(473\) 184.439i 0.389934i
\(474\) 285.732 303.226i 0.602810 0.639717i
\(475\) −449.384 270.385i −0.946072 0.569233i
\(476\) −38.1325 + 50.1624i −0.0801103 + 0.105383i
\(477\) 252.953 + 737.972i 0.530299 + 1.54711i
\(478\) −64.6276 76.0855i −0.135204 0.159175i
\(479\) 246.061 + 531.851i 0.513697 + 1.11034i 0.974818 + 0.223000i \(0.0715850\pi\)
−0.461122 + 0.887337i \(0.652553\pi\)
\(480\) 8.43410 + 50.6171i 0.0175710 + 0.105452i
\(481\) 444.952 + 839.268i 0.925055 + 1.74484i
\(482\) −26.5125 22.5200i −0.0550053 0.0467219i
\(483\) 369.617 + 312.297i 0.765253 + 0.646578i
\(484\) −19.8869 49.9122i −0.0410885 0.103124i
\(485\) −207.582 110.053i −0.428003 0.226913i
\(486\) 305.699 + 156.991i 0.629010 + 0.323026i
\(487\) 692.766 526.627i 1.42252 1.08137i 0.439421 0.898281i \(-0.355184\pi\)
0.983096 0.183088i \(-0.0586094\pi\)
\(488\) −78.2812 + 21.7347i −0.160412 + 0.0445382i
\(489\) −249.658 292.369i −0.510548 0.597891i
\(490\) −10.1140 61.6930i −0.0206409 0.125904i
\(491\) −165.289 750.918i −0.336638 1.52936i −0.775814 0.630962i \(-0.782660\pi\)
0.439175 0.898401i \(-0.355271\pi\)
\(492\) −17.1313 153.781i −0.0348197 0.312563i
\(493\) 119.998 + 13.0505i 0.243403 + 0.0264717i
\(494\) 732.287 + 496.503i 1.48236 + 1.00507i
\(495\) −282.655 + 172.086i −0.571021 + 0.347648i
\(496\) −10.6890 197.146i −0.0215503 0.397472i
\(497\) 688.089 726.406i 1.38448 1.46158i
\(498\) −571.275 + 194.148i −1.14714 + 0.389856i
\(499\) 10.3962 191.746i 0.0208340 0.384261i −0.969458 0.245258i \(-0.921127\pi\)
0.990292 0.139003i \(-0.0443899\pi\)
\(500\) 53.1155 241.306i 0.106231 0.482613i
\(501\) −30.1302 + 283.942i −0.0601400 + 0.566750i
\(502\) 177.313 59.7438i 0.353214 0.119012i
\(503\) −29.6620 + 134.756i −0.0589701 + 0.267904i −0.996876 0.0789868i \(-0.974831\pi\)
0.937906 + 0.346891i \(0.112763\pi\)
\(504\) −123.718 160.995i −0.245472 0.319434i
\(505\) 107.694 102.013i 0.213255 0.202006i
\(506\) −239.151 + 252.469i −0.472631 + 0.498950i
\(507\) 208.246 526.656i 0.410742 1.03877i
\(508\) 2.85332 17.4045i 0.00561676 0.0342607i
\(509\) −314.085 212.955i −0.617063 0.418379i 0.212209 0.977224i \(-0.431934\pi\)
−0.829272 + 0.558845i \(0.811245\pi\)
\(510\) −26.0110 + 43.4874i −0.0510019 + 0.0852693i
\(511\) 199.902 120.277i 0.391198 0.235376i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −807.510 + 381.305i −1.57409 + 0.743285i
\(514\) −122.769 56.7990i −0.238850 0.110504i
\(515\) 445.551 123.707i 0.865148 0.240207i
\(516\) 88.8274 19.7958i 0.172146 0.0383640i
\(517\) 211.526 23.0049i 0.409142 0.0444969i
\(518\) 500.500 + 265.348i 0.966216 + 0.512255i
\(519\) 317.740 + 16.3950i 0.612216 + 0.0315895i
\(520\) −43.2782 + 155.874i −0.0832273 + 0.299758i
\(521\) 327.091 + 277.834i 0.627814 + 0.533270i 0.903835 0.427882i \(-0.140740\pi\)
−0.276021 + 0.961152i \(0.589016\pi\)
\(522\) −142.076 + 362.073i −0.272175 + 0.693626i
\(523\) −17.1454 25.2875i −0.0327827 0.0483509i 0.810945 0.585123i \(-0.198954\pi\)
−0.843727 + 0.536772i \(0.819643\pi\)
\(524\) −86.8586 187.742i −0.165761 0.358286i
\(525\) 102.463 + 365.335i 0.195168 + 0.695875i
\(526\) −170.753 + 428.558i −0.324625 + 0.814748i
\(527\) 117.988 155.210i 0.223885 0.294516i
\(528\) 120.561 82.2032i 0.228336 0.155688i
\(529\) −113.780 38.3369i −0.215085 0.0724704i
\(530\) 370.665i 0.699368i
\(531\) −460.438 264.496i −0.867115 0.498108i
\(532\) 527.615 0.991758
\(533\) 155.753 462.259i 0.292220 0.867277i
\(534\) −268.015 393.078i −0.501901 0.736101i
\(535\) 254.625 + 193.561i 0.475934 + 0.361796i
\(536\) −285.508 113.757i −0.532665 0.212233i
\(537\) −460.154 + 129.057i −0.856897 + 0.240329i
\(538\) −240.243 + 111.148i −0.446548 + 0.206595i
\(539\) −147.140 + 99.7633i −0.272987 + 0.185090i
\(540\) −113.215 117.659i −0.209658 0.217888i
\(541\) 130.583 153.734i 0.241373 0.284166i −0.628115 0.778121i \(-0.716173\pi\)
0.869488 + 0.493955i \(0.164449\pi\)
\(542\) −95.6532 26.5580i −0.176482 0.0490000i
\(543\) 28.7946 558.048i 0.0530287 1.02771i
\(544\) 10.4662 19.7414i 0.0192394 0.0362893i
\(545\) −23.1260 212.640i −0.0424330 0.390165i
\(546\) −139.232 624.759i −0.255004 1.14425i
\(547\) 106.707 + 384.323i 0.195076 + 0.702602i 0.994765 + 0.102187i \(0.0325840\pi\)
−0.799689 + 0.600415i \(0.795002\pi\)
\(548\) −128.646 + 278.063i −0.234755 + 0.507414i
\(549\) 166.325 197.900i 0.302961 0.360473i
\(550\) −266.311 + 58.6195i −0.484202 + 0.106581i
\(551\) −521.078 866.039i −0.945696 1.57176i
\(552\) −147.259 88.0798i −0.266774 0.159565i
\(553\) 439.569 648.316i 0.794881 1.17236i
\(554\) 202.091 + 33.1312i 0.364786 + 0.0598036i
\(555\) 423.649 + 167.516i 0.763331 + 0.301831i
\(556\) −29.7880 28.2167i −0.0535755 0.0507494i
\(557\) 337.490 + 356.284i 0.605907 + 0.639648i 0.954706 0.297549i \(-0.0961693\pi\)
−0.348800 + 0.937197i \(0.613411\pi\)
\(558\) 382.801 + 498.142i 0.686023 + 0.892727i
\(559\) 280.191 + 61.6746i 0.501235 + 0.110330i
\(560\) 30.8038 + 91.4224i 0.0550068 + 0.163254i
\(561\) 143.288 + 15.2049i 0.255416 + 0.0271032i
\(562\) 478.210 + 105.262i 0.850907 + 0.187299i
\(563\) −919.776 49.8688i −1.63371 0.0885769i −0.785715 0.618588i \(-0.787705\pi\)
−0.847990 + 0.530011i \(0.822188\pi\)
\(564\) 33.7825 + 99.4039i 0.0598981 + 0.176248i
\(565\) 274.321 + 259.850i 0.485524 + 0.459912i
\(566\) −255.394 + 13.8471i −0.451227 + 0.0244648i
\(567\) 614.373 + 199.882i 1.08355 + 0.352526i
\(568\) −199.115 + 293.672i −0.350554 + 0.517029i
\(569\) −57.9757 + 533.077i −0.101890 + 0.936867i 0.825913 + 0.563798i \(0.190660\pi\)
−0.927803 + 0.373069i \(0.878305\pi\)
\(570\) 421.695 46.9771i 0.739816 0.0824160i
\(571\) −1105.13 + 243.258i −1.93544 + 0.426022i −0.938758 + 0.344578i \(0.888022\pi\)
−0.996678 + 0.0814437i \(0.974047\pi\)
\(572\) 453.951 74.4215i 0.793620 0.130107i
\(573\) −601.412 + 513.555i −1.04958 + 0.896256i
\(574\) −77.8232 280.294i −0.135580 0.488317i
\(575\) 194.055 + 255.275i 0.337487 + 0.443956i
\(576\) 52.5297 + 49.2406i 0.0911973 + 0.0854871i
\(577\) 221.575 417.935i 0.384013 0.724325i −0.613867 0.789409i \(-0.710387\pi\)
0.997880 + 0.0650846i \(0.0207317\pi\)
\(578\) −359.183 + 143.111i −0.621423 + 0.247598i
\(579\) 66.1940 78.3435i 0.114325 0.135308i
\(580\) 119.640 140.852i 0.206277 0.242848i
\(581\) −1002.19 + 531.329i −1.72494 + 0.914508i
\(582\) −325.176 + 54.1826i −0.558721 + 0.0930972i
\(583\) −956.606 + 442.573i −1.64083 + 0.759130i
\(584\) −63.0532 + 53.5578i −0.107968 + 0.0917086i
\(585\) −166.907 486.940i −0.285311 0.832376i
\(586\) 438.722 + 333.507i 0.748672 + 0.569125i
\(587\) 35.1114 58.3557i 0.0598151 0.0994134i −0.825507 0.564392i \(-0.809111\pi\)
0.885322 + 0.464979i \(0.153938\pi\)
\(588\) −63.8394 60.1563i −0.108570 0.102307i
\(589\) −1632.52 −2.77168
\(590\) 166.203 + 189.819i 0.281700 + 0.321727i
\(591\) 354.646 771.840i 0.600078 1.30599i
\(592\) −190.367 64.1420i −0.321565 0.108348i
\(593\) 132.910 220.897i 0.224131 0.372508i −0.724304 0.689481i \(-0.757839\pi\)
0.948435 + 0.316973i \(0.102666\pi\)
\(594\) −168.474 + 432.669i −0.283626 + 0.728399i
\(595\) −35.2612 + 88.4988i −0.0592624 + 0.148738i
\(596\) −326.625 + 277.438i −0.548028 + 0.465499i
\(597\) 882.821 2.30630i 1.47876 0.00386316i
\(598\) −303.568 447.730i −0.507639 0.748712i
\(599\) −810.978 + 429.953i −1.35389 + 0.717785i −0.977946 0.208859i \(-0.933025\pi\)
−0.375941 + 0.926644i \(0.622680\pi\)
\(600\) −56.8148 121.966i −0.0946914 0.203277i
\(601\) 134.656 484.986i 0.224053 0.806966i −0.762977 0.646426i \(-0.776263\pi\)
0.987029 0.160539i \(-0.0513234\pi\)
\(602\) 158.941 63.3279i 0.264022 0.105196i
\(603\) 953.963 215.215i 1.58203 0.356907i
\(604\) −99.1124 + 10.7791i −0.164093 + 0.0178462i
\(605\) −49.1587 64.6672i −0.0812541 0.106888i
\(606\) 33.1359 205.481i 0.0546796 0.339077i
\(607\) −341.739 158.105i −0.562997 0.260470i 0.117683 0.993051i \(-0.462453\pi\)
−0.680680 + 0.732581i \(0.738315\pi\)
\(608\) −184.633 + 30.2690i −0.303672 + 0.0497845i
\(609\) −155.326 + 714.541i −0.255051 + 1.17330i
\(610\) −105.247 + 63.3250i −0.172536 + 0.103811i
\(611\) −35.7845 + 329.033i −0.0585672 + 0.538516i
\(612\) 8.05633 + 70.6409i 0.0131639 + 0.115426i
\(613\) −0.669616 + 4.08448i −0.00109236 + 0.00666310i −0.987367 0.158450i \(-0.949350\pi\)
0.986275 + 0.165113i \(0.0527988\pi\)
\(614\) −61.3424 + 3.32589i −0.0999062 + 0.00541676i
\(615\) −87.1563 217.095i −0.141718 0.353000i
\(616\) 199.161 188.656i 0.323314 0.306259i
\(617\) −792.260 42.9551i −1.28405 0.0696192i −0.600561 0.799579i \(-0.705056\pi\)
−0.683490 + 0.729960i \(0.739539\pi\)
\(618\) 391.287 517.530i 0.633150 0.837427i
\(619\) 1038.46 349.898i 1.67764 0.565263i 0.690251 0.723570i \(-0.257500\pi\)
0.987390 + 0.158307i \(0.0506036\pi\)
\(620\) −95.3114 282.874i −0.153728 0.456249i
\(621\) 544.949 33.8316i 0.877534 0.0544793i
\(622\) −20.8172 + 383.951i −0.0334682 + 0.617285i
\(623\) −615.092 649.345i −0.987307 1.04229i
\(624\) 84.5646 + 210.639i 0.135520 + 0.337563i
\(625\) 1.23766 + 22.8272i 0.00198025 + 0.0365236i
\(626\) −285.254 46.7650i −0.455677 0.0747044i
\(627\) −624.740 1032.21i −0.996395 1.64627i
\(628\) 196.005 + 21.3169i 0.312110 + 0.0339440i
\(629\) −102.269 169.973i −0.162590 0.270227i
\(630\) −245.347 184.493i −0.389439 0.292846i
\(631\) −56.8063 346.503i −0.0900258 0.549133i −0.992874 0.119173i \(-0.961976\pi\)
0.902848 0.429961i \(-0.141473\pi\)
\(632\) −116.628 + 252.088i −0.184538 + 0.398873i
\(633\) −83.3592 + 516.924i −0.131689 + 0.816625i
\(634\) 355.638 270.349i 0.560944 0.426418i
\(635\) −2.88297 26.5084i −0.00454011 0.0417456i
\(636\) −315.820 413.208i −0.496572 0.649699i
\(637\) −102.353 256.888i −0.160680 0.403277i
\(638\) −506.357 140.589i −0.793664 0.220360i
\(639\) −5.89881 1128.98i −0.00923131 1.76680i
\(640\) −16.0242 30.2249i −0.0250379 0.0472265i
\(641\) 215.753 146.284i 0.336588 0.228212i −0.381170 0.924505i \(-0.624479\pi\)
0.717758 + 0.696293i \(0.245169\pi\)
\(642\) 448.770 1.17238i 0.699019 0.00182614i
\(643\) −677.185 797.244i −1.05317 1.23988i −0.969938 0.243352i \(-0.921753\pi\)
−0.0832273 0.996531i \(-0.526523\pi\)
\(644\) −299.680 119.403i −0.465341 0.185409i
\(645\) 121.395 64.7662i 0.188209 0.100413i
\(646\) −158.309 95.2514i −0.245060 0.147448i
\(647\) 245.107 727.452i 0.378836 1.12435i −0.573476 0.819222i \(-0.694406\pi\)
0.952313 0.305124i \(-0.0986979\pi\)
\(648\) −226.459 34.7002i −0.349475 0.0535497i
\(649\) 291.435 655.577i 0.449052 1.01013i
\(650\) 424.169i 0.652567i
\(651\) 859.584 + 809.991i 1.32041 + 1.24423i
\(652\) 219.617 + 132.139i 0.336837 + 0.202668i
\(653\) −108.195 + 142.328i −0.165688 + 0.217959i −0.871443 0.490497i \(-0.836815\pi\)
0.705754 + 0.708457i \(0.250608\pi\)
\(654\) −206.957 217.342i −0.316448 0.332327i
\(655\) −202.470 238.366i −0.309114 0.363917i
\(656\) 43.3135 + 93.6207i 0.0660267 + 0.142714i
\(657\) 69.0988 254.012i 0.105173 0.386625i
\(658\) 92.4531 + 174.385i 0.140506 + 0.265023i
\(659\) −53.4108 45.3675i −0.0810482 0.0688430i 0.605946 0.795505i \(-0.292795\pi\)
−0.686995 + 0.726662i \(0.741070\pi\)
\(660\) 142.382 168.515i 0.215730 0.255326i
\(661\) 173.925 + 436.520i 0.263125 + 0.660393i 0.999876 0.0157709i \(-0.00502025\pi\)
−0.736751 + 0.676164i \(0.763641\pi\)
\(662\) −27.7312 14.7022i −0.0418901 0.0222087i
\(663\) −71.0128 + 212.592i −0.107108 + 0.320652i
\(664\) 320.223 243.427i 0.482264 0.366607i
\(665\) 768.617 213.405i 1.15581 0.320910i
\(666\) 615.002 174.221i 0.923427 0.261593i
\(667\) 99.9756 + 609.824i 0.149888 + 0.914279i
\(668\) −40.9211 185.907i −0.0612592 0.278303i
\(669\) 546.270 60.8548i 0.816547 0.0909639i
\(670\) −461.933 50.2382i −0.689452 0.0749824i
\(671\) 289.092 + 196.010i 0.430838 + 0.292115i
\(672\) 112.234 + 75.6695i 0.167015 + 0.112603i
\(673\) −63.1066 1163.93i −0.0937691 1.72947i −0.546187 0.837663i \(-0.683921\pi\)
0.452418 0.891806i \(-0.350561\pi\)
\(674\) 310.113 327.382i 0.460108 0.485731i
\(675\) 368.569 + 217.845i 0.546028 + 0.322733i
\(676\) −20.4404 + 377.002i −0.0302373 + 0.557695i
\(677\) 88.5496 402.285i 0.130797 0.594217i −0.864932 0.501890i \(-0.832638\pi\)
0.995729 0.0923275i \(-0.0294307\pi\)
\(678\) 527.208 + 55.9441i 0.777592 + 0.0825134i
\(679\) −587.318 + 197.890i −0.864974 + 0.291444i
\(680\) 7.26209 32.9920i 0.0106795 0.0485176i
\(681\) 335.145 + 176.563i 0.492137 + 0.259270i
\(682\) −616.235 + 583.729i −0.903570 + 0.855907i
\(683\) −546.618 + 577.057i −0.800319 + 0.844886i −0.990593 0.136845i \(-0.956304\pi\)
0.190274 + 0.981731i \(0.439062\pi\)
\(684\) 430.069 411.668i 0.628756 0.601853i
\(685\) −74.9391 + 457.108i −0.109400 + 0.667312i
\(686\) 320.989 + 217.636i 0.467914 + 0.317253i
\(687\) 330.973 + 197.964i 0.481765 + 0.288157i
\(688\) −51.9864 + 31.2792i −0.0755616 + 0.0454639i
\(689\) −352.455 1601.22i −0.511546 2.32398i
\(690\) −250.149 68.7502i −0.362535 0.0996380i
\(691\) 801.516 + 370.821i 1.15994 + 0.536644i 0.902939 0.429768i \(-0.141405\pi\)
0.256997 + 0.966412i \(0.417267\pi\)
\(692\) −204.377 + 56.7450i −0.295343 + 0.0820015i
\(693\) −183.193 + 853.470i −0.264348 + 1.23156i
\(694\) −447.622 + 48.6818i −0.644988 + 0.0701467i
\(695\) −54.8072 29.0569i −0.0788592 0.0418085i
\(696\) 13.3618 258.956i 0.0191980 0.372063i
\(697\) −27.2514 + 98.1506i −0.0390981 + 0.140819i
\(698\) 114.968 + 97.6551i 0.164711 + 0.139907i
\(699\) −954.721 + 54.2653i −1.36584 + 0.0776327i
\(700\) −141.955 209.367i −0.202792 0.299096i
\(701\) −456.603 986.931i −0.651359 1.40789i −0.898527 0.438918i \(-0.855362\pi\)
0.247168 0.968973i \(-0.420500\pi\)
\(702\) −600.954 400.618i −0.856059 0.570681i
\(703\) −614.806 + 1543.05i −0.874546 + 2.19494i
\(704\) −58.8710 + 77.4435i −0.0836236 + 0.110005i
\(705\) 89.4195 + 131.145i 0.126836 + 0.186021i
\(706\) −73.5355 24.7770i −0.104158 0.0350949i
\(707\) 391.295i 0.553459i
\(708\) 347.011 + 69.9945i 0.490129 + 0.0988623i
\(709\) −849.268 −1.19784 −0.598920 0.800809i \(-0.704403\pi\)
−0.598920 + 0.800809i \(0.704403\pi\)
\(710\) −171.283 + 508.350i −0.241244 + 0.715986i
\(711\) −147.542 871.424i −0.207514 1.22563i
\(712\) 252.497 + 191.943i 0.354630 + 0.269583i
\(713\) 927.253 + 369.451i 1.30049 + 0.518165i
\(714\) 36.0958 + 128.700i 0.0505543 + 0.180252i
\(715\) 631.202 292.025i 0.882801 0.408427i
\(716\) 263.707 178.798i 0.368305 0.249717i
\(717\) −211.427 + 12.0173i −0.294877 + 0.0167605i
\(718\) −55.6419 + 65.5067i −0.0774957 + 0.0912350i
\(719\) −762.029 211.576i −1.05985 0.294265i −0.306487 0.951875i \(-0.599154\pi\)
−0.753358 + 0.657610i \(0.771567\pi\)
\(720\) 96.4403 + 50.4857i 0.133945 + 0.0701190i
\(721\) 571.341 1077.66i 0.792428 1.49468i
\(722\) 112.066 + 1030.43i 0.155216 + 1.42718i
\(723\) −72.0253 + 16.0513i −0.0996200 + 0.0222010i
\(724\) 99.6616 + 358.948i 0.137654 + 0.495785i
\(725\) −203.464 + 439.781i −0.280640 + 0.606594i
\(726\) −109.900 30.2045i −0.151377 0.0416039i
\(727\) −1111.04 + 244.558i −1.52825 + 0.336393i −0.897999 0.439998i \(-0.854979\pi\)
−0.630251 + 0.776391i \(0.717048\pi\)
\(728\) 219.999 + 365.641i 0.302196 + 0.502254i
\(729\) 656.743 316.432i 0.900883 0.434063i
\(730\) −70.1916 + 103.525i −0.0961529 + 0.141815i
\(731\) −59.1223 9.69262i −0.0808787 0.0132594i
\(732\) −63.3716 + 160.267i −0.0865733 + 0.218944i
\(733\) −278.257 263.579i −0.379614 0.359589i 0.473974 0.880539i \(-0.342819\pi\)
−0.853587 + 0.520950i \(0.825578\pi\)
\(734\) 360.318 + 380.383i 0.490896 + 0.518233i
\(735\) −117.331 61.8129i −0.159634 0.0840992i
\(736\) 111.719 + 24.5913i 0.151793 + 0.0334121i
\(737\) 421.892 + 1252.13i 0.572445 + 1.69896i
\(738\) −282.132 167.752i −0.382293 0.227306i
\(739\) 741.122 + 163.133i 1.00287 + 0.220749i 0.685908 0.727689i \(-0.259405\pi\)
0.316964 + 0.948437i \(0.397336\pi\)
\(740\) −303.265 16.4425i −0.409817 0.0222197i
\(741\) 1776.99 603.913i 2.39810 0.814997i
\(742\) −709.844 672.400i −0.956663 0.906199i
\(743\) 169.237 9.17574i 0.227775 0.0123496i 0.0601018 0.998192i \(-0.480857\pi\)
0.167673 + 0.985843i \(0.446375\pi\)
\(744\) −347.269 234.133i −0.466760 0.314694i
\(745\) −363.603 + 536.274i −0.488058 + 0.719831i
\(746\) 88.5916 814.586i 0.118755 1.09194i
\(747\) −402.341 + 1215.05i −0.538609 + 1.62657i
\(748\) −93.8160 + 20.6505i −0.125422 + 0.0276076i
\(749\) 832.578 136.494i 1.11159 0.182235i
\(750\) −340.365 398.593i −0.453820 0.531458i
\(751\) 106.669 + 384.186i 0.142036 + 0.511566i 0.999998