Properties

Label 224.3.v.b.13.13
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.13
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.46638 + 1.36005i) q^{2} +(-1.65755 - 0.686579i) q^{3} +(0.300514 - 3.98870i) q^{4} +(0.205220 + 0.495445i) q^{5} +(3.36437 - 1.24757i) q^{6} +(-0.193440 + 6.99733i) q^{7} +(4.98417 + 6.25764i) q^{8} +(-4.08789 - 4.08789i) q^{9} +O(q^{10})\) \(q+(-1.46638 + 1.36005i) q^{2} +(-1.65755 - 0.686579i) q^{3} +(0.300514 - 3.98870i) q^{4} +(0.205220 + 0.495445i) q^{5} +(3.36437 - 1.24757i) q^{6} +(-0.193440 + 6.99733i) q^{7} +(4.98417 + 6.25764i) q^{8} +(-4.08789 - 4.08789i) q^{9} +(-0.974760 - 0.447398i) q^{10} +(-3.44988 - 8.32874i) q^{11} +(-3.23667 + 6.40513i) q^{12} +(-1.31375 + 3.17168i) q^{13} +(-9.23308 - 10.5238i) q^{14} -0.962123i q^{15} +(-15.8194 - 2.39732i) q^{16} +28.1178 q^{17} +(11.5541 + 0.434636i) q^{18} +(12.1154 - 29.2491i) q^{19} +(2.03785 - 0.669672i) q^{20} +(5.12485 - 11.4656i) q^{21} +(16.3863 + 7.52104i) q^{22} +(-11.0067 - 11.0067i) q^{23} +(-3.96514 - 13.7944i) q^{24} +(17.4743 - 17.4743i) q^{25} +(-2.38720 - 6.43765i) q^{26} +(10.1484 + 24.5005i) q^{27} +(27.8521 + 2.87437i) q^{28} +(6.55469 - 15.8244i) q^{29} +(1.30854 + 1.41083i) q^{30} +31.5457i q^{31} +(26.4576 - 17.9998i) q^{32} +16.1739i q^{33} +(-41.2313 + 38.2417i) q^{34} +(-3.50649 + 1.34015i) q^{35} +(-17.5338 + 15.0769i) q^{36} +(39.9500 - 16.5478i) q^{37} +(22.0146 + 59.3677i) q^{38} +(4.35522 - 4.35522i) q^{39} +(-2.07746 + 3.75357i) q^{40} +(53.7822 - 53.7822i) q^{41} +(8.07885 + 23.7829i) q^{42} +(8.17552 + 19.7375i) q^{43} +(-34.2575 + 11.2576i) q^{44} +(1.18641 - 2.86424i) q^{45} +(31.1097 + 1.17027i) q^{46} -30.9029 q^{47} +(24.5754 + 14.8349i) q^{48} +(-48.9252 - 2.70713i) q^{49} +(-1.85792 + 49.3899i) q^{50} +(-46.6066 - 19.3051i) q^{51} +(12.2561 + 6.19330i) q^{52} +(-38.3091 - 92.4864i) q^{53} +(-48.2033 - 22.1245i) q^{54} +(3.41845 - 3.41845i) q^{55} +(-44.7509 + 33.6654i) q^{56} +(-40.1636 + 40.1636i) q^{57} +(11.9104 + 32.1193i) q^{58} +(-36.8703 - 89.0128i) q^{59} +(-3.83762 - 0.289132i) q^{60} +(80.8660 + 33.4958i) q^{61} +(-42.9039 - 46.2579i) q^{62} +(29.3950 - 27.8135i) q^{63} +(-14.3161 + 62.3783i) q^{64} -1.84100 q^{65} +(-21.9974 - 23.7170i) q^{66} +(-4.47349 + 10.8000i) q^{67} +(8.44980 - 112.153i) q^{68} +(10.6872 + 25.8012i) q^{69} +(3.31915 - 6.73417i) q^{70} +(-63.6100 + 63.6100i) q^{71} +(5.20580 - 45.9552i) q^{72} +(-35.2117 + 35.2117i) q^{73} +(-36.0757 + 78.5993i) q^{74} +(-40.9620 + 16.9670i) q^{75} +(-113.025 - 57.1143i) q^{76} +(58.9462 - 22.5288i) q^{77} +(-0.463060 + 12.3097i) q^{78} +66.1357i q^{79} +(-2.05871 - 8.32961i) q^{80} +4.45189i q^{81} +(-5.71828 + 152.012i) q^{82} +(30.0604 - 72.5721i) q^{83} +(-44.1927 - 23.8871i) q^{84} +(5.77034 + 13.9308i) q^{85} +(-38.8324 - 17.8234i) q^{86} +(-21.7294 + 21.7294i) q^{87} +(34.9235 - 63.0999i) q^{88} +(-23.6564 - 23.6564i) q^{89} +(2.15580 + 5.81362i) q^{90} +(-21.9392 - 9.80630i) q^{91} +(-47.2102 + 40.5948i) q^{92} +(21.6586 - 52.2886i) q^{93} +(45.3152 - 42.0296i) q^{94} +16.9776 q^{95} +(-56.2131 + 11.6703i) q^{96} +115.260i q^{97} +(75.4245 - 62.5711i) q^{98} +(-19.9442 + 48.1496i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.46638 + 1.36005i −0.733188 + 0.680026i
\(3\) −1.65755 0.686579i −0.552516 0.228860i 0.0889164 0.996039i \(-0.471660\pi\)
−0.641433 + 0.767179i \(0.721660\pi\)
\(4\) 0.300514 3.98870i 0.0751285 0.997174i
\(5\) 0.205220 + 0.495445i 0.0410440 + 0.0990890i 0.943072 0.332588i \(-0.107922\pi\)
−0.902028 + 0.431677i \(0.857922\pi\)
\(6\) 3.36437 1.24757i 0.560729 0.207928i
\(7\) −0.193440 + 6.99733i −0.0276343 + 0.999618i
\(8\) 4.98417 + 6.25764i 0.623021 + 0.782205i
\(9\) −4.08789 4.08789i −0.454209 0.454209i
\(10\) −0.974760 0.447398i −0.0974760 0.0447398i
\(11\) −3.44988 8.32874i −0.313625 0.757158i −0.999565 0.0294996i \(-0.990609\pi\)
0.685940 0.727658i \(-0.259391\pi\)
\(12\) −3.23667 + 6.40513i −0.269723 + 0.533761i
\(13\) −1.31375 + 3.17168i −0.101058 + 0.243976i −0.966320 0.257345i \(-0.917152\pi\)
0.865262 + 0.501321i \(0.167152\pi\)
\(14\) −9.23308 10.5238i −0.659505 0.751700i
\(15\) 0.962123i 0.0641416i
\(16\) −15.8194 2.39732i −0.988711 0.149832i
\(17\) 28.1178 1.65399 0.826995 0.562210i \(-0.190049\pi\)
0.826995 + 0.562210i \(0.190049\pi\)
\(18\) 11.5541 + 0.434636i 0.641895 + 0.0241464i
\(19\) 12.1154 29.2491i 0.637651 1.53943i −0.192149 0.981366i \(-0.561546\pi\)
0.829801 0.558060i \(-0.188454\pi\)
\(20\) 2.03785 0.669672i 0.101892 0.0334836i
\(21\) 5.12485 11.4656i 0.244041 0.545981i
\(22\) 16.3863 + 7.52104i 0.744833 + 0.341866i
\(23\) −11.0067 11.0067i −0.478553 0.478553i 0.426115 0.904669i \(-0.359882\pi\)
−0.904669 + 0.426115i \(0.859882\pi\)
\(24\) −3.96514 13.7944i −0.165214 0.574765i
\(25\) 17.4743 17.4743i 0.698973 0.698973i
\(26\) −2.38720 6.43765i −0.0918153 0.247602i
\(27\) 10.1484 + 24.5005i 0.375867 + 0.907424i
\(28\) 27.8521 + 2.87437i 0.994717 + 0.102656i
\(29\) 6.55469 15.8244i 0.226024 0.545670i −0.769663 0.638451i \(-0.779576\pi\)
0.995687 + 0.0927808i \(0.0295756\pi\)
\(30\) 1.30854 + 1.41083i 0.0436179 + 0.0470278i
\(31\) 31.5457i 1.01760i 0.860883 + 0.508802i \(0.169912\pi\)
−0.860883 + 0.508802i \(0.830088\pi\)
\(32\) 26.4576 17.9998i 0.826801 0.562494i
\(33\) 16.1739i 0.490118i
\(34\) −41.2313 + 38.2417i −1.21268 + 1.12476i
\(35\) −3.50649 + 1.34015i −0.100185 + 0.0382901i
\(36\) −17.5338 + 15.0769i −0.487050 + 0.418802i
\(37\) 39.9500 16.5478i 1.07973 0.447238i 0.229314 0.973352i \(-0.426352\pi\)
0.850414 + 0.526114i \(0.176352\pi\)
\(38\) 22.0146 + 59.3677i 0.579332 + 1.56231i
\(39\) 4.35522 4.35522i 0.111672 0.111672i
\(40\) −2.07746 + 3.75357i −0.0519366 + 0.0938393i
\(41\) 53.7822 53.7822i 1.31176 1.31176i 0.391645 0.920116i \(-0.371906\pi\)
0.920116 0.391645i \(-0.128094\pi\)
\(42\) 8.07885 + 23.7829i 0.192354 + 0.566260i
\(43\) 8.17552 + 19.7375i 0.190128 + 0.459011i 0.989984 0.141182i \(-0.0450904\pi\)
−0.799855 + 0.600193i \(0.795090\pi\)
\(44\) −34.2575 + 11.2576i −0.778580 + 0.255855i
\(45\) 1.18641 2.86424i 0.0263646 0.0636497i
\(46\) 31.1097 + 1.17027i 0.676298 + 0.0254406i
\(47\) −30.9029 −0.657508 −0.328754 0.944416i \(-0.606629\pi\)
−0.328754 + 0.944416i \(0.606629\pi\)
\(48\) 24.5754 + 14.8349i 0.511988 + 0.309061i
\(49\) −48.9252 2.70713i −0.998473 0.0552475i
\(50\) −1.85792 + 49.3899i −0.0371584 + 0.987798i
\(51\) −46.6066 19.3051i −0.913856 0.378531i
\(52\) 12.2561 + 6.19330i 0.235694 + 0.119102i
\(53\) −38.3091 92.4864i −0.722814 1.74503i −0.665173 0.746689i \(-0.731642\pi\)
−0.0576410 0.998337i \(-0.518358\pi\)
\(54\) −48.2033 22.1245i −0.892654 0.409713i
\(55\) 3.41845 3.41845i 0.0621536 0.0621536i
\(56\) −44.7509 + 33.6654i −0.799123 + 0.601168i
\(57\) −40.1636 + 40.1636i −0.704625 + 0.704625i
\(58\) 11.9104 + 32.1193i 0.205352 + 0.553781i
\(59\) −36.8703 89.0128i −0.624921 1.50869i −0.845860 0.533404i \(-0.820912\pi\)
0.220940 0.975287i \(1.57091\pi\)
\(60\) −3.83762 0.289132i −0.0639603 0.00481886i
\(61\) 80.8660 + 33.4958i 1.32567 + 0.549112i 0.929418 0.369029i \(-0.120310\pi\)
0.396255 + 0.918141i \(0.370310\pi\)
\(62\) −42.9039 46.2579i −0.691998 0.746095i
\(63\) 29.3950 27.8135i 0.466588 0.441484i
\(64\) −14.3161 + 62.3783i −0.223689 + 0.974660i
\(65\) −1.84100 −0.0283231
\(66\) −21.9974 23.7170i −0.333293 0.359349i
\(67\) −4.47349 + 10.8000i −0.0667685 + 0.161193i −0.953742 0.300628i \(-0.902804\pi\)
0.886973 + 0.461821i \(0.152804\pi\)
\(68\) 8.44980 112.153i 0.124262 1.64931i
\(69\) 10.6872 + 25.8012i 0.154887 + 0.373930i
\(70\) 3.31915 6.73417i 0.0474164 0.0962025i
\(71\) −63.6100 + 63.6100i −0.895916 + 0.895916i −0.995072 0.0991558i \(-0.968386\pi\)
0.0991558 + 0.995072i \(0.468386\pi\)
\(72\) 5.20580 45.9552i 0.0723028 0.638267i
\(73\) −35.2117 + 35.2117i −0.482352 + 0.482352i −0.905882 0.423530i \(-0.860791\pi\)
0.423530 + 0.905882i \(0.360791\pi\)
\(74\) −36.0757 + 78.5993i −0.487510 + 1.06215i
\(75\) −40.9620 + 16.9670i −0.546160 + 0.226227i
\(76\) −113.025 57.1143i −1.48717 0.751504i
\(77\) 58.9462 22.5288i 0.765536 0.292582i
\(78\) −0.463060 + 12.3097i −0.00593667 + 0.157817i
\(79\) 66.1357i 0.837161i 0.908180 + 0.418580i \(0.137472\pi\)
−0.908180 + 0.418580i \(0.862528\pi\)
\(80\) −2.05871 8.32961i −0.0257339 0.104120i
\(81\) 4.45189i 0.0549617i
\(82\) −5.71828 + 152.012i −0.0697352 + 1.85380i
\(83\) 30.0604 72.5721i 0.362173 0.874363i −0.632809 0.774308i \(-0.718098\pi\)
0.994982 0.100055i \(-0.0319019\pi\)
\(84\) −44.1927 23.8871i −0.526103 0.284370i
\(85\) 5.77034 + 13.9308i 0.0678863 + 0.163892i
\(86\) −38.8324 17.8234i −0.451539 0.207249i
\(87\) −21.7294 + 21.7294i −0.249764 + 0.249764i
\(88\) 34.9235 63.0999i 0.396858 0.717045i
\(89\) −23.6564 23.6564i −0.265802 0.265802i 0.561604 0.827406i \(-0.310184\pi\)
−0.827406 + 0.561604i \(0.810184\pi\)
\(90\) 2.15580 + 5.81362i 0.0239533 + 0.0645958i
\(91\) −21.9392 9.80630i −0.241090 0.107762i
\(92\) −47.2102 + 40.5948i −0.513154 + 0.441248i
\(93\) 21.6586 52.2886i 0.232889 0.562243i
\(94\) 45.3152 42.0296i 0.482077 0.447123i
\(95\) 16.9776 0.178712
\(96\) −56.2131 + 11.6703i −0.585553 + 0.121566i
\(97\) 115.260i 1.18825i 0.804373 + 0.594124i \(0.202501\pi\)
−0.804373 + 0.594124i \(0.797499\pi\)
\(98\) 75.4245 62.5711i 0.769638 0.638481i
\(99\) −19.9442 + 48.1496i −0.201457 + 0.486360i
\(100\) −64.4485 74.9510i −0.644485 0.749510i
\(101\) 25.3144 + 61.1145i 0.250638 + 0.605094i 0.998256 0.0590355i \(-0.0188025\pi\)
−0.747618 + 0.664129i \(0.768803\pi\)
\(102\) 94.5988 35.0789i 0.927439 0.343911i
\(103\) −74.3084 74.3084i −0.721441 0.721441i 0.247457 0.968899i \(-0.420405\pi\)
−0.968899 + 0.247457i \(0.920405\pi\)
\(104\) −26.3952 + 7.58720i −0.253800 + 0.0729539i
\(105\) 6.73229 + 0.186113i 0.0641171 + 0.00177251i
\(106\) 181.962 + 83.5174i 1.71662 + 0.787900i
\(107\) −9.85914 23.8021i −0.0921415 0.222449i 0.871089 0.491125i \(-0.163414\pi\)
−0.963231 + 0.268675i \(0.913414\pi\)
\(108\) 100.775 33.1162i 0.933098 0.306632i
\(109\) −50.9889 21.1203i −0.467788 0.193764i 0.136323 0.990664i \(-0.456472\pi\)
−0.604111 + 0.796900i \(0.706472\pi\)
\(110\) −0.363459 + 9.66199i −0.00330417 + 0.0878363i
\(111\) −77.5804 −0.698922
\(112\) 19.8349 110.230i 0.177098 0.984193i
\(113\) 121.375i 1.07411i 0.843547 + 0.537056i \(0.180463\pi\)
−0.843547 + 0.537056i \(0.819537\pi\)
\(114\) 4.27031 113.520i 0.0374589 0.995786i
\(115\) 3.19443 7.71203i 0.0277776 0.0670611i
\(116\) −61.1491 30.9001i −0.527147 0.266381i
\(117\) 18.3360 7.59500i 0.156718 0.0649145i
\(118\) 175.128 + 80.3806i 1.48413 + 0.681192i
\(119\) −5.43911 + 196.750i −0.0457068 + 1.65336i
\(120\) 6.02062 4.79539i 0.0501718 0.0399615i
\(121\) 28.0937 28.0937i 0.232179 0.232179i
\(122\) −164.136 + 60.8646i −1.34538 + 0.498890i
\(123\) −126.072 + 52.2209i −1.02498 + 0.424560i
\(124\) 125.826 + 9.47994i 1.01473 + 0.0764511i
\(125\) 24.6298 + 10.2020i 0.197038 + 0.0816158i
\(126\) −5.27632 + 80.7638i −0.0418755 + 0.640983i
\(127\) 141.943 1.11766 0.558832 0.829281i \(-0.311250\pi\)
0.558832 + 0.829281i \(0.311250\pi\)
\(128\) −63.8449 110.941i −0.498788 0.866724i
\(129\) 38.3289i 0.297124i
\(130\) 2.69960 2.50386i 0.0207662 0.0192605i
\(131\) 109.700 + 45.4394i 0.837408 + 0.346866i 0.759831 0.650121i \(-0.225282\pi\)
0.0775771 + 0.996986i \(0.475282\pi\)
\(132\) 64.5128 + 4.86048i 0.488733 + 0.0368218i
\(133\) 202.322 + 90.4331i 1.52122 + 0.679948i
\(134\) −8.12869 21.9210i −0.0606619 0.163589i
\(135\) −10.0560 + 10.0560i −0.0744886 + 0.0744886i
\(136\) 140.144 + 175.951i 1.03047 + 1.29376i
\(137\) −132.652 132.652i −0.968265 0.968265i 0.0312472 0.999512i \(-0.490052\pi\)
−0.999512 + 0.0312472i \(0.990052\pi\)
\(138\) −50.7624 23.2991i −0.367843 0.168834i
\(139\) 10.4221 4.31699i 0.0749795 0.0310575i −0.344878 0.938647i \(-0.612080\pi\)
0.419858 + 0.907590i \(0.362080\pi\)
\(140\) 4.29171 + 14.3890i 0.0306551 + 0.102779i
\(141\) 51.2230 + 21.2173i 0.363284 + 0.150477i
\(142\) 6.76321 179.789i 0.0476282 1.26612i
\(143\) 30.9484 0.216422
\(144\) 54.8679 + 74.4678i 0.381027 + 0.517137i
\(145\) 9.18528 0.0633468
\(146\) 3.74381 99.5234i 0.0256426 0.681667i
\(147\) 79.2372 + 38.0782i 0.539028 + 0.259035i
\(148\) −53.9987 164.321i −0.364856 1.11028i
\(149\) −29.4428 71.0813i −0.197603 0.477056i 0.793755 0.608237i \(-0.208123\pi\)
−0.991358 + 0.131181i \(0.958123\pi\)
\(150\) 36.9897 80.5905i 0.246598 0.537270i
\(151\) 2.84640 + 2.84640i 0.0188503 + 0.0188503i 0.716469 0.697619i \(-0.245757\pi\)
−0.697619 + 0.716469i \(0.745757\pi\)
\(152\) 243.415 69.9688i 1.60142 0.460321i
\(153\) −114.942 114.942i −0.751258 0.751258i
\(154\) −55.7970 + 113.206i −0.362318 + 0.735102i
\(155\) −15.6292 + 6.47382i −0.100833 + 0.0417666i
\(156\) −16.0628 18.6805i −0.102967 0.119747i
\(157\) −77.8061 32.2284i −0.495580 0.205276i 0.120872 0.992668i \(-0.461431\pi\)
−0.616453 + 0.787392i \(0.711431\pi\)
\(158\) −89.9480 96.9798i −0.569291 0.613796i
\(159\) 179.603i 1.12958i
\(160\) 14.3476 + 9.41437i 0.0896722 + 0.0588398i
\(161\) 79.1468 74.8885i 0.491595 0.465146i
\(162\) −6.05481 6.52815i −0.0373754 0.0402972i
\(163\) 76.2598 184.107i 0.467851 1.12949i −0.497248 0.867608i \(-0.665656\pi\)
0.965099 0.261884i \(-0.0843439\pi\)
\(164\) −198.359 230.683i −1.20950 1.40660i
\(165\) −8.01327 + 3.31921i −0.0485653 + 0.0201164i
\(166\) 54.6221 + 147.302i 0.329049 + 0.887359i
\(167\) 114.508 + 114.508i 0.685679 + 0.685679i 0.961274 0.275595i \(-0.0888749\pi\)
−0.275595 + 0.961274i \(0.588875\pi\)
\(168\) 97.2907 25.0770i 0.579111 0.149268i
\(169\) 111.167 + 111.167i 0.657795 + 0.657795i
\(170\) −27.4081 12.5799i −0.161224 0.0739992i
\(171\) −169.093 + 70.0407i −0.988849 + 0.409595i
\(172\) 81.1836 26.6783i 0.471998 0.155106i
\(173\) −27.0967 + 65.4173i −0.156629 + 0.378135i −0.982641 0.185517i \(-0.940604\pi\)
0.826013 + 0.563652i \(0.190604\pi\)
\(174\) 2.31034 61.4167i 0.0132778 0.352970i
\(175\) 118.893 + 125.654i 0.679390 + 0.718021i
\(176\) 34.6083 + 140.026i 0.196638 + 0.795602i
\(177\) 172.857i 0.976596i
\(178\) 66.8631 + 2.51522i 0.375635 + 0.0141304i
\(179\) −222.660 92.2287i −1.24391 0.515244i −0.338975 0.940795i \(-0.610080\pi\)
−0.904934 + 0.425551i \(0.860080\pi\)
\(180\) −11.0680 5.59295i −0.0614891 0.0310720i
\(181\) 115.333 47.7724i 0.637197 0.263936i −0.0406103 0.999175i \(-0.512930\pi\)
0.677808 + 0.735239i \(0.262930\pi\)
\(182\) 45.5081 15.4587i 0.250045 0.0849380i
\(183\) −111.042 111.042i −0.606786 0.606786i
\(184\) 14.0168 123.736i 0.0761780 0.672476i
\(185\) 16.3971 + 16.3971i 0.0886327 + 0.0886327i
\(186\) 39.3555 + 106.132i 0.211589 + 0.570600i
\(187\) −97.0030 234.186i −0.518732 1.25233i
\(188\) −9.28675 + 123.262i −0.0493976 + 0.655650i
\(189\) −173.401 + 66.2725i −0.917465 + 0.350648i
\(190\) −24.8956 + 23.0905i −0.131029 + 0.121529i
\(191\) 296.841 1.55414 0.777072 0.629412i \(-0.216704\pi\)
0.777072 + 0.629412i \(0.216704\pi\)
\(192\) 66.5573 93.5659i 0.346652 0.487322i
\(193\) −21.3734 −0.110743 −0.0553715 0.998466i \(-0.517634\pi\)
−0.0553715 + 0.998466i \(0.517634\pi\)
\(194\) −156.760 169.015i −0.808040 0.871209i
\(195\) 3.05155 + 1.26399i 0.0156490 + 0.00648202i
\(196\) −25.5006 + 194.334i −0.130105 + 0.991500i
\(197\) 199.357 82.5765i 1.01197 0.419170i 0.185794 0.982589i \(-0.440514\pi\)
0.826171 + 0.563419i \(0.190514\pi\)
\(198\) −36.2403 97.7306i −0.183032 0.493589i
\(199\) −147.909 147.909i −0.743262 0.743262i 0.229942 0.973204i \(-0.426146\pi\)
−0.973204 + 0.229942i \(0.926146\pi\)
\(200\) 196.443 + 22.2530i 0.982215 + 0.111265i
\(201\) 14.8300 14.8300i 0.0737813 0.0737813i
\(202\) −120.239 55.1878i −0.595244 0.273207i
\(203\) 109.461 + 48.9264i 0.539216 + 0.241017i
\(204\) −91.0081 + 180.098i −0.446118 + 0.882834i
\(205\) 37.6833 + 15.6089i 0.183821 + 0.0761411i
\(206\) 210.027 + 7.90069i 1.01955 + 0.0383529i
\(207\) 89.9885i 0.434727i
\(208\) 28.3863 47.0246i 0.136473 0.226080i
\(209\) −285.405 −1.36557
\(210\) −10.1252 + 8.88336i −0.0482152 + 0.0423017i
\(211\) −232.947 96.4899i −1.10402 0.457298i −0.245142 0.969487i \(-0.578835\pi\)
−0.858873 + 0.512189i \(0.828835\pi\)
\(212\) −380.413 + 125.010i −1.79440 + 0.589670i
\(213\) 149.110 61.7634i 0.700047 0.289969i
\(214\) 46.8293 + 21.4938i 0.218828 + 0.100438i
\(215\) −8.10104 + 8.10104i −0.0376793 + 0.0376793i
\(216\) −102.734 + 185.620i −0.475619 + 0.859350i
\(217\) −220.736 6.10221i −1.01722 0.0281208i
\(218\) 103.494 38.3773i 0.474741 0.176043i
\(219\) 82.5408 34.1895i 0.376899 0.156116i
\(220\) −12.6078 14.6624i −0.0573084 0.0666474i
\(221\) −36.9399 + 89.1808i −0.167149 + 0.403533i
\(222\) 113.762 105.513i 0.512441 0.475285i
\(223\) 181.874i 0.815577i 0.913076 + 0.407789i \(0.133700\pi\)
−0.913076 + 0.407789i \(0.866300\pi\)
\(224\) 120.833 + 188.615i 0.539432 + 0.842029i
\(225\) −142.866 −0.634960
\(226\) −165.076 177.981i −0.730424 0.787525i
\(227\) 165.104 + 68.3884i 0.727331 + 0.301270i 0.715455 0.698659i \(-0.246220\pi\)
0.0118763 + 0.999929i \(0.496220\pi\)
\(228\) 148.131 + 172.270i 0.649696 + 0.755571i
\(229\) 87.1151 + 210.314i 0.380415 + 0.918403i 0.991885 + 0.127136i \(0.0405785\pi\)
−0.611470 + 0.791268i \(0.709422\pi\)
\(230\) 5.80453 + 15.6533i 0.0252371 + 0.0680579i
\(231\) −113.174 3.12868i −0.489931 0.0135441i
\(232\) 131.693 37.8547i 0.567643 0.163167i
\(233\) −98.6857 98.6857i −0.423544 0.423544i 0.462878 0.886422i \(-0.346817\pi\)
−0.886422 + 0.462878i \(0.846817\pi\)
\(234\) −16.5578 + 36.0750i −0.0707598 + 0.154167i
\(235\) −6.34189 15.3107i −0.0269868 0.0651518i
\(236\) −366.125 + 120.315i −1.55138 + 0.509809i
\(237\) 45.4074 109.623i 0.191592 0.462545i
\(238\) −259.614 295.906i −1.09081 1.24330i
\(239\) 403.581i 1.68862i −0.535852 0.844312i \(-0.680009\pi\)
0.535852 0.844312i \(-0.319991\pi\)
\(240\) −2.30652 + 15.2202i −0.00961048 + 0.0634175i
\(241\) −188.582 −0.782499 −0.391249 0.920285i \(-0.627957\pi\)
−0.391249 + 0.920285i \(0.627957\pi\)
\(242\) −2.98700 + 79.4048i −0.0123430 + 0.328119i
\(243\) 94.3924 227.883i 0.388446 0.937792i
\(244\) 157.906 312.484i 0.647156 1.28067i
\(245\) −8.69919 24.7953i −0.0355069 0.101205i
\(246\) 113.846 248.040i 0.462790 1.00829i
\(247\) 76.8522 + 76.8522i 0.311143 + 0.311143i
\(248\) −197.402 + 157.229i −0.795975 + 0.633989i
\(249\) −99.6530 + 99.6530i −0.400213 + 0.400213i
\(250\) −49.9917 + 18.5378i −0.199967 + 0.0741513i
\(251\) 14.8502 + 35.8515i 0.0591641 + 0.142835i 0.950697 0.310121i \(-0.100370\pi\)
−0.891533 + 0.452956i \(0.850370\pi\)
\(252\) −102.106 125.606i −0.405182 0.498437i
\(253\) −53.7003 + 129.644i −0.212254 + 0.512427i
\(254\) −208.142 + 193.050i −0.819458 + 0.760041i
\(255\) 27.0528i 0.106089i
\(256\) 244.506 + 75.8482i 0.955101 + 0.296282i
\(257\) 86.5403i 0.336733i 0.985725 + 0.168366i \(0.0538491\pi\)
−0.985725 + 0.168366i \(0.946151\pi\)
\(258\) 52.1294 + 56.2046i 0.202052 + 0.217847i
\(259\) 108.063 + 282.744i 0.417230 + 1.09168i
\(260\) −0.553247 + 7.34320i −0.00212787 + 0.0282431i
\(261\) −91.4833 + 37.8936i −0.350511 + 0.145186i
\(262\) −222.662 + 82.5672i −0.849855 + 0.315142i
\(263\) −52.6326 + 52.6326i −0.200124 + 0.200124i −0.800053 0.599929i \(-0.795195\pi\)
0.599929 + 0.800053i \(0.295195\pi\)
\(264\) −101.210 + 80.6134i −0.383373 + 0.305354i
\(265\) 37.9601 37.9601i 0.143246 0.143246i
\(266\) −419.674 + 142.559i −1.57772 + 0.535938i
\(267\) 22.9696 + 55.4536i 0.0860285 + 0.207691i
\(268\) 41.7334 + 21.0889i 0.155722 + 0.0786900i
\(269\) 38.0955 91.9708i 0.141619 0.341899i −0.837116 0.547025i \(-0.815760\pi\)
0.978736 + 0.205126i \(0.0657604\pi\)
\(270\) 1.06918 28.4225i 0.00395992 0.105268i
\(271\) −60.8458 −0.224523 −0.112262 0.993679i \(-0.535809\pi\)
−0.112262 + 0.993679i \(0.535809\pi\)
\(272\) −444.806 67.4074i −1.63532 0.247821i
\(273\) 29.6324 + 31.3174i 0.108544 + 0.114716i
\(274\) 374.932 + 14.1040i 1.36836 + 0.0514744i
\(275\) −205.823 85.2548i −0.748448 0.310017i
\(276\) 106.125 34.8744i 0.384510 0.126356i
\(277\) −159.062 384.010i −0.574231 1.38632i −0.897922 0.440154i \(-0.854924\pi\)
0.323691 0.946163i \(-0.395076\pi\)
\(278\) −9.41144 + 20.5050i −0.0338541 + 0.0737590i
\(279\) 128.955 128.955i 0.462206 0.462206i
\(280\) −25.8631 15.2628i −0.0923683 0.0545100i
\(281\) −150.559 + 150.559i −0.535796 + 0.535796i −0.922291 0.386495i \(-0.873686\pi\)
0.386495 + 0.922291i \(0.373686\pi\)
\(282\) −103.969 + 38.5535i −0.368684 + 0.136715i
\(283\) 157.219 + 379.561i 0.555546 + 1.34121i 0.913261 + 0.407375i \(0.133556\pi\)
−0.357715 + 0.933831i \(0.616444\pi\)
\(284\) 234.605 + 272.837i 0.826075 + 0.960693i
\(285\) −28.1412 11.6565i −0.0987412 0.0408999i
\(286\) −45.3820 + 42.0915i −0.158678 + 0.147173i
\(287\) 365.928 + 386.735i 1.27501 + 1.34751i
\(288\) −181.737 34.5746i −0.631031 0.120051i
\(289\) 501.612 1.73568
\(290\) −13.4691 + 12.4925i −0.0464451 + 0.0430775i
\(291\) 79.1352 191.049i 0.271942 0.656526i
\(292\) 129.867 + 151.030i 0.444751 + 0.517228i
\(293\) −29.3744 70.9161i −0.100254 0.242035i 0.865792 0.500404i \(-0.166815\pi\)
−0.966046 + 0.258369i \(0.916815\pi\)
\(294\) −167.980 + 51.9298i −0.571360 + 0.176632i
\(295\) 36.5344 36.5344i 0.123845 0.123845i
\(296\) 302.668 + 167.515i 1.02253 + 0.565930i
\(297\) 169.047 169.047i 0.569182 0.569182i
\(298\) 139.849 + 64.1881i 0.469290 + 0.215396i
\(299\) 49.3700 20.4497i 0.165117 0.0683937i
\(300\) 55.3666 + 168.484i 0.184555 + 0.561613i
\(301\) −139.691 + 53.3888i −0.464089 + 0.177371i
\(302\) −8.04513 0.302637i −0.0266395 0.00100211i
\(303\) 118.681i 0.391685i
\(304\) −261.777 + 433.658i −0.861109 + 1.42651i
\(305\) 46.9387i 0.153897i
\(306\) 324.876 + 12.2210i 1.06169 + 0.0399379i
\(307\) −45.9600 + 110.957i −0.149707 + 0.361424i −0.980887 0.194579i \(-0.937666\pi\)
0.831180 + 0.556003i \(0.187666\pi\)
\(308\) −72.1463 241.889i −0.234241 0.785353i
\(309\) 72.1512 + 174.188i 0.233499 + 0.563717i
\(310\) 14.1135 30.7495i 0.0455274 0.0991921i
\(311\) 210.911 210.911i 0.678170 0.678170i −0.281416 0.959586i \(-0.590804\pi\)
0.959586 + 0.281416i \(0.0908041\pi\)
\(312\) 48.9606 + 5.54625i 0.156925 + 0.0177764i
\(313\) −170.998 170.998i −0.546320 0.546320i 0.379054 0.925374i \(-0.376249\pi\)
−0.925374 + 0.379054i \(0.876249\pi\)
\(314\) 157.925 58.5616i 0.502947 0.186502i
\(315\) 19.8125 + 8.85573i 0.0628968 + 0.0281134i
\(316\) 263.795 + 19.8747i 0.834795 + 0.0628946i
\(317\) −112.618 + 271.884i −0.355262 + 0.857677i 0.640691 + 0.767799i \(0.278648\pi\)
−0.995953 + 0.0898786i \(0.971352\pi\)
\(318\) −244.269 263.365i −0.768143 0.828193i
\(319\) −154.410 −0.484045
\(320\) −33.8429 + 5.70842i −0.105759 + 0.0178388i
\(321\) 46.2222i 0.143994i
\(322\) −14.2066 + 217.459i −0.0441199 + 0.675337i
\(323\) 340.658 822.421i 1.05467 2.54619i
\(324\) 17.7573 + 1.33786i 0.0548063 + 0.00412919i
\(325\) 32.4660 + 78.3800i 0.0998955 + 0.241169i
\(326\) 138.570 + 373.688i 0.425062 + 1.14628i
\(327\) 70.0158 + 70.0158i 0.214115 + 0.214115i
\(328\) 604.609 + 68.4901i 1.84332 + 0.208811i
\(329\) 5.97786 216.238i 0.0181698 0.657257i
\(330\) 7.23617 15.7657i 0.0219278 0.0477748i
\(331\) 43.6250 + 105.320i 0.131798 + 0.318187i 0.975977 0.217873i \(-0.0699119\pi\)
−0.844180 + 0.536060i \(0.819912\pi\)
\(332\) −280.435 141.711i −0.844682 0.426839i
\(333\) −230.956 95.6653i −0.693563 0.287283i
\(334\) −323.650 12.1749i −0.969011 0.0364517i
\(335\) −6.26883 −0.0187129
\(336\) −108.559 + 169.093i −0.323091 + 0.503252i
\(337\) 176.021i 0.522316i 0.965296 + 0.261158i \(0.0841044\pi\)
−0.965296 + 0.261158i \(0.915896\pi\)
\(338\) −314.207 11.8196i −0.929606 0.0349694i
\(339\) 83.3332 201.184i 0.245821 0.593464i
\(340\) 57.2999 18.8297i 0.168529 0.0553815i
\(341\) 262.736 108.829i 0.770487 0.319146i
\(342\) 152.695 332.682i 0.446477 0.972753i
\(343\) 28.4067 341.822i 0.0828185 0.996565i
\(344\) −82.7617 + 149.534i −0.240586 + 0.434693i
\(345\) −10.5898 + 10.5898i −0.0306952 + 0.0306952i
\(346\) −49.2370 132.779i −0.142303 0.383755i
\(347\) 54.0928 22.4060i 0.155887 0.0645705i −0.303376 0.952871i \(-0.598114\pi\)
0.459263 + 0.888301i \(0.348114\pi\)
\(348\) 80.1421 + 93.2021i 0.230293 + 0.267822i
\(349\) −496.264 205.559i −1.42196 0.588995i −0.466607 0.884465i \(-0.654524\pi\)
−0.955352 + 0.295470i \(0.904524\pi\)
\(350\) −345.238 22.5545i −0.986394 0.0644413i
\(351\) −91.0402 −0.259374
\(352\) −241.191 158.262i −0.685203 0.449607i
\(353\) 379.228i 1.07430i 0.843487 + 0.537150i \(0.180499\pi\)
−0.843487 + 0.537150i \(0.819501\pi\)
\(354\) −235.095 253.474i −0.664111 0.716028i
\(355\) −44.5693 18.4612i −0.125547 0.0520034i
\(356\) −101.467 + 87.2490i −0.285020 + 0.245082i
\(357\) 144.100 322.387i 0.403641 0.903046i
\(358\) 451.939 167.587i 1.26240 0.468120i
\(359\) −39.1210 + 39.1210i −0.108972 + 0.108972i −0.759491 0.650518i \(-0.774552\pi\)
0.650518 + 0.759491i \(0.274552\pi\)
\(360\) 23.8366 6.85174i 0.0662128 0.0190326i
\(361\) −453.462 453.462i −1.25613 1.25613i
\(362\) −104.148 + 226.911i −0.287702 + 0.626825i
\(363\) −65.8552 + 27.2781i −0.181419 + 0.0751463i
\(364\) −45.7074 + 84.5617i −0.125570 + 0.232312i
\(365\) −24.6716 10.2193i −0.0675935 0.0279981i
\(366\) 313.852 + 11.8063i 0.857518 + 0.0322576i
\(367\) 539.970 1.47131 0.735654 0.677357i \(-0.236875\pi\)
0.735654 + 0.677357i \(0.236875\pi\)
\(368\) 147.733 + 200.506i 0.401448 + 0.544854i
\(369\) −439.711 −1.19163
\(370\) −46.3451 1.74338i −0.125257 0.00471184i
\(371\) 654.568 250.171i 1.76433 0.674315i
\(372\) −202.055 102.103i −0.543157 0.274471i
\(373\) 109.340 + 263.969i 0.293136 + 0.707692i 1.00000 0.000342797i \(0.000109116\pi\)
−0.706864 + 0.707349i \(0.749891\pi\)
\(374\) 460.748 + 211.475i 1.23195 + 0.565442i
\(375\) −33.8205 33.8205i −0.0901881 0.0901881i
\(376\) −154.025 193.379i −0.409642 0.514306i
\(377\) 41.5788 + 41.5788i 0.110289 + 0.110289i
\(378\) 164.137 333.015i 0.434224 0.880991i
\(379\) −208.851 + 86.5087i −0.551057 + 0.228255i −0.640798 0.767710i \(-0.721396\pi\)
0.0897406 + 0.995965i \(0.471396\pi\)
\(380\) 5.10202 67.7186i 0.0134264 0.178207i
\(381\) −235.278 97.4553i −0.617528 0.255788i
\(382\) −435.281 + 403.720i −1.13948 + 1.05686i
\(383\) 29.8752i 0.0780033i −0.999239 0.0390016i \(-0.987582\pi\)
0.999239 0.0390016i \(-0.0124178\pi\)
\(384\) 29.6565 + 227.724i 0.0772305 + 0.593031i
\(385\) 23.2587 + 24.5812i 0.0604123 + 0.0638474i
\(386\) 31.3414 29.0689i 0.0811954 0.0753081i
\(387\) 47.2639 114.105i 0.122129 0.294845i
\(388\) 459.737 + 34.6373i 1.18489 + 0.0892714i
\(389\) −25.8767 + 10.7185i −0.0665210 + 0.0275539i −0.415696 0.909504i \(-0.636462\pi\)
0.349175 + 0.937058i \(0.386462\pi\)
\(390\) −6.19382 + 2.29678i −0.0158816 + 0.00588918i
\(391\) −309.485 309.485i −0.791522 0.791522i
\(392\) −226.911 319.649i −0.578855 0.815431i
\(393\) −150.636 150.636i −0.383298 0.383298i
\(394\) −180.024 + 392.224i −0.456914 + 0.995493i
\(395\) −32.7666 + 13.5724i −0.0829534 + 0.0343604i
\(396\) 186.061 + 94.0211i 0.469850 + 0.237427i
\(397\) −42.9450 + 103.678i −0.108174 + 0.261155i −0.968692 0.248265i \(-0.920140\pi\)
0.860518 + 0.509419i \(0.170140\pi\)
\(398\) 418.055 + 15.7261i 1.05039 + 0.0395129i
\(399\) −273.269 288.807i −0.684884 0.723828i
\(400\) −318.324 + 234.541i −0.795811 + 0.586354i
\(401\) 69.4239i 0.173127i 0.996246 + 0.0865635i \(0.0275885\pi\)
−0.996246 + 0.0865635i \(0.972411\pi\)
\(402\) −1.57677 + 41.9161i −0.00392232 + 0.104269i
\(403\) −100.053 41.4434i −0.248271 0.102837i
\(404\) 251.374 82.6058i 0.622214 0.204470i
\(405\) −2.20567 + 0.913617i −0.00544609 + 0.00225585i
\(406\) −227.053 + 77.1279i −0.559244 + 0.189970i
\(407\) −275.645 275.645i −0.677260 0.677260i
\(408\) −111.491 387.867i −0.273262 0.950656i
\(409\) 270.737 + 270.737i 0.661949 + 0.661949i 0.955839 0.293890i \(-0.0949500\pi\)
−0.293890 + 0.955839i \(0.594950\pi\)
\(410\) −76.4868 + 28.3627i −0.186553 + 0.0691773i
\(411\) 128.801 + 310.954i 0.313385 + 0.756578i
\(412\) −318.725 + 274.063i −0.773603 + 0.665202i
\(413\) 629.984 240.775i 1.52538 0.582990i
\(414\) −122.389 131.957i −0.295626 0.318736i
\(415\) 42.1245 0.101505
\(416\) 22.3309 + 107.563i 0.0536801 + 0.258564i
\(417\) −20.2392 −0.0485352
\(418\) 418.510 388.165i 1.00122 0.928625i
\(419\) 539.644 + 223.528i 1.28793 + 0.533479i 0.918368 0.395727i \(-0.129507\pi\)
0.369564 + 0.929205i \(0.379507\pi\)
\(420\) 2.76550 26.7971i 0.00658452 0.0638027i
\(421\) 57.3466 23.7538i 0.136215 0.0564222i −0.313535 0.949577i \(-0.601513\pi\)
0.449750 + 0.893155i \(0.351513\pi\)
\(422\) 472.819 175.330i 1.12043 0.415474i
\(423\) 126.327 + 126.327i 0.298646 + 0.298646i
\(424\) 387.808 700.693i 0.914641 1.65258i
\(425\) 491.340 491.340i 1.15609 1.15609i
\(426\) −134.650 + 293.366i −0.316079 + 0.688652i
\(427\) −250.024 + 559.367i −0.585536 + 1.30999i
\(428\) −97.9021 + 32.1723i −0.228743 + 0.0751688i
\(429\) −51.2985 21.2485i −0.119577 0.0495304i
\(430\) 0.861326 22.8970i 0.00200308 0.0532489i
\(431\) 338.786i 0.786046i 0.919529 + 0.393023i \(0.128571\pi\)
−0.919529 + 0.393023i \(0.871429\pi\)
\(432\) −101.806 411.911i −0.235663 0.953498i
\(433\) 812.328 1.87605 0.938023 0.346572i \(-0.112654\pi\)
0.938023 + 0.346572i \(0.112654\pi\)
\(434\) 331.981 291.264i 0.764933 0.671116i
\(435\) −15.2251 6.30642i −0.0350001 0.0144975i
\(436\) −99.5652 + 197.032i −0.228361 + 0.451908i
\(437\) −455.287 + 188.586i −1.04185 + 0.431547i
\(438\) −74.5362 + 162.394i −0.170174 + 0.370764i
\(439\) −86.9687 + 86.9687i −0.198106 + 0.198106i −0.799188 0.601081i \(-0.794737\pi\)
0.601081 + 0.799188i \(0.294737\pi\)
\(440\) 38.4295 + 4.35329i 0.0873398 + 0.00989385i
\(441\) 188.934 + 211.067i 0.428422 + 0.478610i
\(442\) −67.1228 181.013i −0.151862 0.409531i
\(443\) 232.178 96.1715i 0.524105 0.217091i −0.104914 0.994481i \(-0.533457\pi\)
0.629019 + 0.777390i \(0.283457\pi\)
\(444\) −23.3140 + 309.444i −0.0525090 + 0.696947i
\(445\) 6.86567 16.5752i 0.0154285 0.0372476i
\(446\) −247.358 266.695i −0.554614 0.597971i
\(447\) 138.035i 0.308804i
\(448\) −433.712 112.241i −0.968107 0.250538i
\(449\) 90.2071 0.200907 0.100453 0.994942i \(-0.467971\pi\)
0.100453 + 0.994942i \(0.467971\pi\)
\(450\) 209.495 194.305i 0.465545 0.431790i
\(451\) −633.480 262.396i −1.40461 0.581809i
\(452\) 484.126 + 36.4748i 1.07108 + 0.0806964i
\(453\) −2.76376 6.67231i −0.00610102 0.0147292i
\(454\) −335.116 + 124.267i −0.738142 + 0.273716i
\(455\) 0.356124 12.8821i 0.000782689 0.0283123i
\(456\) −451.512 51.1472i −0.990157 0.112165i
\(457\) 590.224 + 590.224i 1.29152 + 1.29152i 0.933848 + 0.357670i \(0.116429\pi\)
0.357670 + 0.933848i \(0.383571\pi\)
\(458\) −413.782 189.919i −0.903454 0.414670i
\(459\) 285.351 + 688.899i 0.621681 + 1.50087i
\(460\) −29.8010 15.0592i −0.0647847 0.0327373i
\(461\) −236.086 + 569.962i −0.512117 + 1.23636i 0.430532 + 0.902575i \(0.358326\pi\)
−0.942649 + 0.333785i \(0.891674\pi\)
\(462\) 170.211 149.335i 0.368422 0.323236i
\(463\) 498.672i 1.07705i −0.842611 0.538523i \(-0.818982\pi\)
0.842611 0.538523i \(-0.181018\pi\)
\(464\) −141.627 + 234.619i −0.305231 + 0.505644i
\(465\) 30.3509 0.0652707
\(466\) 278.928 + 10.4926i 0.598558 + 0.0225162i
\(467\) −201.553 + 486.591i −0.431590 + 1.04195i 0.547185 + 0.837012i \(0.315700\pi\)
−0.978775 + 0.204939i \(0.934300\pi\)
\(468\) −24.7839 75.4189i −0.0529571 0.161152i
\(469\) −74.7055 33.3916i −0.159287 0.0711974i
\(470\) 30.1229 + 13.8259i 0.0640913 + 0.0294168i
\(471\) 106.840 + 106.840i 0.226837 + 0.226837i
\(472\) 373.242 674.376i 0.790768 1.42876i
\(473\) 136.184 136.184i 0.287915 0.287915i
\(474\) 82.5089 + 222.505i 0.174069 + 0.469420i
\(475\) −299.400 722.816i −0.630316 1.52172i
\(476\) 783.139 + 80.8210i 1.64525 + 0.169792i
\(477\) −221.471 + 534.677i −0.464299 + 1.12092i
\(478\) 548.892 + 591.801i 1.14831 + 1.23808i
\(479\) 545.400i 1.13862i 0.822122 + 0.569312i \(0.192790\pi\)
−0.822122 + 0.569312i \(0.807210\pi\)
\(480\) −17.3181 25.4555i −0.0360793 0.0530323i
\(481\) 148.448i 0.308624i
\(482\) 276.532 256.482i 0.573718 0.532120i
\(483\) −182.607 + 69.7908i −0.378067 + 0.144494i
\(484\) −103.615 120.500i −0.214080 0.248966i
\(485\) −57.1050 + 23.6537i −0.117742 + 0.0487705i
\(486\) 171.519 + 462.541i 0.352919 + 0.951731i
\(487\) −247.898 + 247.898i −0.509031 + 0.509031i −0.914229 0.405198i \(-0.867203\pi\)
0.405198 + 0.914229i \(0.367203\pi\)
\(488\) 193.445 + 672.979i 0.396404 + 1.37906i
\(489\) −252.808 + 252.808i −0.516991 + 0.516991i
\(490\) 46.4791 + 24.5278i 0.0948554 + 0.0500568i
\(491\) −51.4523 124.217i −0.104791 0.252987i 0.862784 0.505573i \(-0.168719\pi\)
−0.967574 + 0.252586i \(0.918719\pi\)
\(492\) 170.407 + 518.557i 0.346355 + 1.05398i
\(493\) 184.304 444.948i 0.373841 0.902532i
\(494\) −217.217 8.17115i −0.439711 0.0165408i
\(495\) −27.9484 −0.0564615
\(496\) 75.6252 499.034i 0.152470 1.00612i
\(497\) −432.796 457.405i −0.870816 0.920332i
\(498\) 10.5954 281.662i 0.0212759 0.565586i
\(499\) 20.9873 + 8.69323i 0.0420587 + 0.0174213i 0.403614 0.914930i \(-0.367754\pi\)
−0.361555 + 0.932351i \(0.617754\pi\)
\(500\) 48.0942 95.1748i 0.0961884 0.190350i
\(501\) −111.184 268.422i −0.221924 0.535773i
\(502\) −70.5359 32.3748i −0.140510 0.0644915i
\(503\) 150.920 150.920i 0.300041 0.300041i −0.540989 0.841030i \(-0.681950\pi\)
0.841030 + 0.540989i \(0.181950\pi\)
\(504\) 320.557 + 45.3163i 0.636025 + 0.0899133i
\(505\) −25.0838 + 25.0838i −0.0496709 + 0.0496709i
\(506\) −97.5778 263.142i −0.192842 0.520043i
\(507\) −107.940 260.591i −0.212900 0.513985i
\(508\) 42.6560 566.169i 0.0839685 1.11451i
\(509\) −776.403 321.597i −1.52535 0.631821i −0.546695 0.837332i \(-0.684114\pi\)
−0.978655 + 0.205511i \(0.934114\pi\)
\(510\) 36.7932 + 39.6696i 0.0721436 + 0.0777835i
\(511\) −239.577 253.199i −0.468839 0.495498i
\(512\) −461.695 + 221.319i −0.901748 + 0.432263i
\(513\) 839.568 1.63658
\(514\) −117.699 126.901i −0.228987 0.246888i
\(515\) 21.5662 52.0653i 0.0418760 0.101098i
\(516\) −152.882 11.5184i −0.296284 0.0223225i
\(517\) 106.611 + 257.382i 0.206211 + 0.497838i
\(518\) −543.007 267.638i −1.04828 0.516676i
\(519\) 89.8283 89.8283i 0.173080 0.173080i
\(520\) −9.17587 11.5203i −0.0176459 0.0221545i
\(521\) 158.154 158.154i 0.303559 0.303559i −0.538845 0.842405i \(-0.681139\pi\)
0.842405 + 0.538845i \(0.181139\pi\)
\(522\) 82.6115 179.988i 0.158260 0.344805i
\(523\) 220.201 91.2100i 0.421034 0.174398i −0.162100 0.986774i \(-0.551827\pi\)
0.583133 + 0.812377i \(0.301827\pi\)
\(524\) 214.211 423.907i 0.408799 0.808982i
\(525\) −110.800 289.907i −0.211048 0.552203i
\(526\) 5.59605 148.762i 0.0106389 0.282818i
\(527\) 886.997i 1.68311i
\(528\) 38.7740 255.861i 0.0734356 0.484585i
\(529\) 286.704i 0.541973i
\(530\) −4.03603 + 107.292i −0.00761515 + 0.202437i
\(531\) −213.153 + 514.596i −0.401417 + 0.969107i
\(532\) 421.511 779.824i 0.792314 1.46583i
\(533\) 99.9235 + 241.237i 0.187474 + 0.452602i
\(534\) −109.102 50.0759i −0.204311 0.0937750i
\(535\) 9.76932 9.76932i 0.0182604 0.0182604i
\(536\) −89.8789 + 25.8353i −0.167684 + 0.0482002i
\(537\) 305.747 + 305.747i 0.569361 + 0.569361i
\(538\) 69.2227 + 186.676i 0.128667 + 0.346981i
\(539\) 146.239 + 416.824i 0.271315 + 0.773329i
\(540\) 37.0882 + 43.1321i 0.0686819 + 0.0798743i
\(541\) −339.313 + 819.175i −0.627197 + 1.51419i 0.215895 + 0.976417i \(0.430733\pi\)
−0.843092 + 0.537770i \(0.819267\pi\)
\(542\) 89.2228 82.7535i 0.164618 0.152682i
\(543\) −223.969 −0.412466
\(544\) 743.931 506.116i 1.36752 0.930360i
\(545\) 29.5965i 0.0543054i
\(546\) −86.0456 5.62137i −0.157593 0.0102956i
\(547\) −369.973 + 893.193i −0.676367 + 1.63289i 0.0942137 + 0.995552i \(0.469966\pi\)
−0.770581 + 0.637342i \(0.780034\pi\)
\(548\) −568.973 + 489.246i −1.03827 + 0.892784i
\(549\) −193.644 467.498i −0.352721 0.851545i
\(550\) 417.765 154.915i 0.759573 0.281663i
\(551\) −383.438 383.438i −0.695894 0.695894i
\(552\) −108.188 + 195.474i −0.195992 + 0.354120i
\(553\) −462.773 12.7933i −0.836841 0.0231343i
\(554\) 755.518 + 346.770i 1.36375 + 0.625938i
\(555\) −15.9210 38.4368i −0.0286866 0.0692555i
\(556\) −14.0872 42.8681i −0.0253366 0.0771009i
\(557\) 67.7100 + 28.0464i 0.121562 + 0.0503526i 0.442635 0.896702i \(-0.354044\pi\)
−0.321073 + 0.947054i \(0.604044\pi\)
\(558\) −13.7109 + 364.483i −0.0245715 + 0.653195i
\(559\) −73.3416 −0.131201
\(560\) 58.6832 12.7942i 0.104791 0.0228468i
\(561\) 454.775i 0.810650i
\(562\) 16.0079 425.544i 0.0284837 0.757195i
\(563\) −85.5867 + 206.625i −0.152019 + 0.367006i −0.981482 0.191556i \(-0.938647\pi\)
0.829463 + 0.558562i \(0.188647\pi\)
\(564\) 100.022 197.937i 0.177345 0.350952i
\(565\) −60.1344 + 24.9085i −0.106433 + 0.0440858i
\(566\) −746.766 342.753i −1.31937 0.605570i
\(567\) −31.1514 0.861175i −0.0549407 0.00151883i
\(568\) −715.092 81.0056i −1.25896 0.142615i
\(569\) 284.496 284.496i 0.499993 0.499993i −0.411443 0.911436i \(-0.634975\pi\)
0.911436 + 0.411443i \(0.134975\pi\)
\(570\) 57.1190 21.1808i 0.100209 0.0371593i
\(571\) −62.8633 + 26.0388i −0.110093 + 0.0456021i −0.437050 0.899437i \(-0.643977\pi\)
0.326957 + 0.945039i \(0.393977\pi\)
\(572\) 9.30043 123.444i 0.0162595 0.215811i
\(573\) −492.029 203.805i −0.858689 0.355681i
\(574\) −1062.57 69.4178i −1.85116 0.120937i
\(575\) −384.670 −0.668992
\(576\) 313.518 196.473i 0.544302 0.341098i
\(577\) 95.3790i 0.165302i −0.996579 0.0826508i \(-0.973661\pi\)
0.996579 0.0826508i \(-0.0263386\pi\)
\(578\) −735.551 + 682.218i −1.27258 + 1.18031i
\(579\) 35.4274 + 14.6745i 0.0611873 + 0.0253446i
\(580\) 2.76031 36.6373i 0.00475915 0.0631678i
\(581\) 501.996 + 224.381i 0.864021 + 0.386197i
\(582\) 143.795 + 387.778i 0.247071 + 0.666285i
\(583\) −638.133 + 638.133i −1.09457 + 1.09457i
\(584\) −395.844 44.8411i −0.677814 0.0767827i
\(585\) 7.52581 + 7.52581i 0.0128646 + 0.0128646i
\(586\) 139.524 + 64.0389i 0.238095 + 0.109281i
\(587\) −658.440 + 272.735i −1.12170 + 0.464625i −0.864953 0.501853i \(-0.832652\pi\)
−0.256750 + 0.966478i \(0.582652\pi\)
\(588\) 175.694 304.610i 0.298800 0.518044i
\(589\) 922.684 + 382.188i 1.56653 + 0.648877i
\(590\) −3.88445 + 103.262i −0.00658381 + 0.175020i
\(591\) −387.139 −0.655058
\(592\) −671.654 + 166.003i −1.13455 + 0.280411i
\(593\) 244.853 0.412906 0.206453 0.978457i \(-0.433808\pi\)
0.206453 + 0.978457i \(0.433808\pi\)
\(594\) −17.9736 + 477.799i −0.0302586 + 0.804376i
\(595\) −98.5947 + 37.6821i −0.165705 + 0.0633313i
\(596\) −292.370 + 96.0776i −0.490553 + 0.161204i
\(597\) 143.615 + 346.718i 0.240562 + 0.580767i
\(598\) −44.5822 + 97.1327i −0.0745523 + 0.162429i
\(599\) 374.934 + 374.934i 0.625933 + 0.625933i 0.947042 0.321110i \(-0.104056\pi\)
−0.321110 + 0.947042i \(0.604056\pi\)
\(600\) −310.335 171.759i −0.517225 0.286265i
\(601\) −148.393 148.393i −0.246911 0.246911i 0.572791 0.819702i \(-0.305861\pi\)
−0.819702 + 0.572791i \(0.805861\pi\)
\(602\) 132.228 268.275i 0.219647 0.445640i
\(603\) 62.4361 25.8619i 0.103542 0.0428887i
\(604\) 12.2088 10.4980i 0.0202132 0.0173808i
\(605\) 19.6843 + 8.15349i 0.0325360 + 0.0134768i
\(606\) 161.412 + 174.030i 0.266356 + 0.287179i
\(607\) 295.999i 0.487642i −0.969820 0.243821i \(-0.921599\pi\)
0.969820 0.243821i \(-0.0784010\pi\)
\(608\) −205.934 991.936i −0.338708 1.63147i
\(609\) −147.845 156.251i −0.242766 0.256570i
\(610\) −63.8390 68.8297i −0.104654 0.112836i
\(611\) 40.5988 98.0142i 0.0664465 0.160416i
\(612\) −493.012 + 423.928i −0.805575 + 0.692693i
\(613\) −329.751 + 136.587i −0.537929 + 0.222818i −0.635072 0.772453i \(-0.719030\pi\)
0.0971429 + 0.995270i \(0.469030\pi\)
\(614\) −83.5131 225.213i −0.136015 0.366796i
\(615\) −51.7451 51.7451i −0.0841384 0.0841384i
\(616\) 434.775 + 256.577i 0.705804 + 0.416521i
\(617\) −197.080 197.080i −0.319416 0.319416i 0.529127 0.848543i \(-0.322520\pi\)
−0.848543 + 0.529127i \(0.822520\pi\)
\(618\) −342.706 157.296i −0.554541 0.254525i
\(619\) −817.529 + 338.632i −1.32073 + 0.547062i −0.927996 0.372591i \(-0.878469\pi\)
−0.392730 + 0.919654i \(0.628469\pi\)
\(620\) 21.1253 + 64.2855i 0.0340730 + 0.103686i
\(621\) 157.969 381.371i 0.254378 0.614124i
\(622\) −22.4246 + 596.124i −0.0360525 + 0.958399i
\(623\) 170.108 160.955i 0.273046 0.258355i
\(624\) −79.3378 + 58.4561i −0.127144 + 0.0936796i
\(625\) 603.514i 0.965623i
\(626\) 483.314 + 18.1810i 0.772067 + 0.0290432i
\(627\) 473.072 + 195.953i 0.754500 + 0.312524i
\(628\) −151.931 + 300.660i −0.241928 + 0.478758i
\(629\) 1123.31 465.288i 1.78586 0.739727i
\(630\) −41.0968 + 13.9602i −0.0652331 + 0.0221591i
\(631\) −787.614 787.614i −1.24820 1.24820i −0.956515 0.291685i \(-0.905784\pi\)
−0.291685 0.956515i \(-0.594216\pi\)
\(632\) −413.853 + 329.631i −0.654831 + 0.521569i
\(633\) 319.873 + 319.873i 0.505329 + 0.505329i
\(634\) −204.636 551.850i −0.322770 0.870426i
\(635\) 29.1296 + 70.3251i 0.0458734 + 0.110748i
\(636\) 716.382 + 53.9732i 1.12639 + 0.0848636i
\(637\) 72.8618 151.619i 0.114383 0.238020i
\(638\) 226.424 210.006i 0.354896 0.329163i
\(639\) 520.061 0.813867
\(640\) 41.8627 54.3989i 0.0654105 0.0849982i
\(641\) −250.003 −0.390020 −0.195010 0.980801i \(-0.562474\pi\)
−0.195010 + 0.980801i \(0.562474\pi\)
\(642\) −62.8646 67.7791i −0.0979199 0.105575i
\(643\) −278.743 115.459i −0.433503 0.179563i 0.155251 0.987875i \(-0.450381\pi\)
−0.588754 + 0.808312i \(0.700381\pi\)
\(644\) −274.923 338.198i −0.426899 0.525152i
\(645\) 18.9899 7.86586i 0.0294417 0.0121951i
\(646\) 619.003 + 1669.29i 0.958209 + 2.58404i
\(647\) −355.576 355.576i −0.549577 0.549577i 0.376742 0.926318i \(-0.377044\pi\)
−0.926318 + 0.376742i \(0.877044\pi\)
\(648\) −27.8584 + 22.1890i −0.0429913 + 0.0342423i
\(649\) −614.166 + 614.166i −0.946327 + 0.946327i
\(650\) −154.208 70.7789i −0.237244 0.108891i
\(651\) 361.691 + 161.667i 0.555593 + 0.248337i
\(652\) −711.431 359.504i −1.09115 0.551386i
\(653\) −854.070 353.767i −1.30792 0.541757i −0.383641 0.923482i \(-0.625330\pi\)
−0.924276 + 0.381725i \(0.875330\pi\)
\(654\) −197.895 7.44428i −0.302591 0.0113827i
\(655\) 63.6756i 0.0972147i
\(656\) −979.735 + 721.868i −1.49350 + 1.10041i
\(657\) 287.883 0.438178
\(658\) 285.329 + 325.216i 0.433630 + 0.494249i
\(659\) 22.2984 + 9.23629i 0.0338367 + 0.0140156i 0.399538 0.916717i \(-0.369171\pi\)
−0.365701 + 0.930732i \(0.619171\pi\)
\(660\) 10.8312 + 32.9600i 0.0164109 + 0.0499394i
\(661\) −243.599 + 100.902i −0.368531 + 0.152650i −0.559260 0.828992i \(-0.688915\pi\)
0.190729 + 0.981643i \(0.438915\pi\)
\(662\) −207.211 95.1064i −0.313008 0.143665i
\(663\) 122.459 122.459i 0.184705 0.184705i
\(664\) 603.956 173.605i 0.909573 0.261453i
\(665\) −3.28415 + 118.798i −0.00493857 + 0.178644i
\(666\) 468.779 173.832i 0.703872 0.261008i
\(667\) −246.321 + 102.029i −0.369297 + 0.152968i
\(668\) 491.150 422.328i 0.735255 0.632227i
\(669\) 124.871 301.465i 0.186653 0.450620i
\(670\) 9.19246 8.52594i 0.0137201 0.0127253i
\(671\) 789.068i 1.17596i
\(672\) −70.7872 395.599i −0.105338 0.588689i
\(673\) 272.694 0.405192 0.202596 0.979262i \(-0.435062\pi\)
0.202596 + 0.979262i \(0.435062\pi\)
\(674\) −239.397 258.112i −0.355189 0.382956i
\(675\) 605.466 + 250.792i 0.896986 + 0.371544i
\(676\) 476.820 410.006i 0.705356 0.606517i
\(677\) 295.073 + 712.368i 0.435853 + 1.05224i 0.977367 + 0.211551i \(0.0678513\pi\)
−0.541514 + 0.840692i \(0.682149\pi\)
\(678\) 151.423 + 408.349i 0.223338 + 0.602285i
\(679\) −806.513 22.2959i −1.18779 0.0328364i
\(680\) −58.4138 + 105.542i −0.0859026 + 0.155209i
\(681\) −226.714 226.714i −0.332914 0.332914i
\(682\) −237.257 + 516.919i −0.347884 + 0.757946i
\(683\) 373.117 + 900.784i 0.546291 + 1.31886i 0.920218 + 0.391406i \(0.128011\pi\)
−0.373927 + 0.927458i \(0.621989\pi\)
\(684\) 228.556 + 695.509i 0.334146 + 1.01683i
\(685\) 38.4990 92.9447i 0.0562029 0.135686i
\(686\) 423.241 + 539.874i 0.616969 + 0.786988i
\(687\) 408.418i 0.594494i
\(688\) −82.0148 331.834i −0.119208 0.482317i
\(689\) 343.666 0.498790
\(690\) 1.12594 29.9314i 0.00163180 0.0433788i
\(691\) 49.5334 119.584i 0.0716836 0.173060i −0.883977 0.467531i \(-0.845144\pi\)
0.955660 + 0.294472i \(0.0951436\pi\)
\(692\) 252.787 + 127.739i 0.365299 + 0.184595i
\(693\) −333.061 148.870i −0.480607 0.214820i
\(694\) −48.8470 + 106.425i −0.0703848 + 0.153350i
\(695\) 4.27766 + 4.27766i 0.00615491 + 0.00615491i
\(696\) −244.278 27.6718i −0.350974 0.0397584i
\(697\) 1512.24 1512.24i 2.16964 2.16964i
\(698\) 1007.28 373.518i 1.44310 0.535126i
\(699\) 95.8208 + 231.332i 0.137083 + 0.330947i
\(700\) 536.924 436.468i 0.767034 0.623526i
\(701\) −18.1461 + 43.8085i −0.0258860 + 0.0624943i −0.936294 0.351217i \(-0.885768\pi\)
0.910408 + 0.413712i \(0.135768\pi\)
\(702\) 133.499 123.819i 0.190170 0.176381i
\(703\) 1368.98i 1.94734i
\(704\) 568.921 95.9621i 0.808127 0.136310i
\(705\) 29.7324i 0.0421736i
\(706\) −515.770 556.091i −0.730552 0.787664i
\(707\) −432.535 + 165.311i −0.611789 + 0.233821i
\(708\) 689.476 + 51.9461i 0.973836 + 0.0733702i
\(709\) −479.880 + 198.773i −0.676841 + 0.280357i −0.694506 0.719487i \(-0.744377\pi\)
0.0176645 + 0.999844i \(0.494377\pi\)
\(710\) 90.4636 33.5455i 0.127413 0.0472472i
\(711\) 270.355 270.355i 0.380246 0.380246i
\(712\) 30.1257 265.941i 0.0423114 0.373512i
\(713\) 347.215 347.215i 0.486978 0.486978i
\(714\) 227.160 + 668.724i 0.318151 + 0.936589i
\(715\) 6.35123 + 15.3332i 0.00888284 + 0.0214451i
\(716\) −434.785 + 860.406i −0.607241 + 1.20168i
\(717\) −277.090 + 668.955i −0.386458 + 0.932992i
\(718\) 4.15946 110.573i 0.00579312 0.154001i
\(719\) 654.420 0.910181 0.455090 0.890445i \(-0.349607\pi\)
0.455090 + 0.890445i \(0.349607\pi\)
\(720\) −25.6347 + 42.4663i −0.0356037 + 0.0589809i
\(721\) 534.335 505.586i 0.741102 0.701229i
\(722\) 1281.68 + 48.2134i 1.77518 + 0.0667775i
\(723\) 312.584 + 129.477i 0.432343 + 0.179082i
\(724\) −155.890 474.383i −0.215318 0.655226i
\(725\) −161.982 391.060i −0.223424 0.539393i
\(726\) 59.4688 129.567i 0.0819129 0.178466i
\(727\) 33.4553 33.4553i 0.0460182 0.0460182i −0.683723 0.729741i \(-0.739640\pi\)
0.729741 + 0.683723i \(0.239640\pi\)
\(728\) −47.9843 186.164i −0.0659124 0.255719i
\(729\) −284.588 + 284.588i −0.390382 + 0.390382i
\(730\) 50.0767 18.5693i 0.0685982 0.0254374i
\(731\) 229.878 + 554.974i 0.314470 + 0.759199i
\(732\) −476.282 + 409.542i −0.650658 + 0.559484i
\(733\) 677.063 + 280.449i 0.923688 + 0.382604i 0.793280 0.608857i \(-0.208371\pi\)
0.130407 + 0.991461i \(0.458371\pi\)
\(734\) −791.799 + 734.388i −1.07875 + 1.00053i
\(735\) −2.60459 + 47.0720i −0.00354366 + 0.0640436i
\(736\) −489.331 93.0928i −0.664852 0.126485i
\(737\) 105.383 0.142989
\(738\) 644.781 598.030i 0.873688 0.810339i
\(739\) 116.836 282.066i 0.158100 0.381686i −0.824904 0.565273i \(-0.808771\pi\)
0.983004 + 0.183587i \(0.0587708\pi\)
\(740\) 70.3304 60.4753i 0.0950411 0.0817234i
\(741\) −74.6212 180.151i −0.100703 0.243119i
\(742\) −619.597 + 1257.09i −0.835037 + 1.69419i
\(743\) 697.661 697.661i 0.938978 0.938978i −0.0592640 0.998242i \(-0.518875\pi\)
0.998242 + 0.0592640i \(0.0188754\pi\)
\(744\) 435.154 125.083i 0.584884 0.168123i
\(745\) 29.1746 29.1746i 0.0391605 0.0391605i
\(746\) −519.345 238.370i −0.696173 0.319531i
\(747\) −419.550 + 173.783i −0.561646 + 0.232642i
\(748\) −963.247 + 316.539i −1.28776 + 0.423181i
\(749\) 168.458 64.3834i 0.224911 0.0859591i
\(750\) 95.5914 + 3.59590i 0.127455 + 0.00479453i
\(751\) 149.256i 0.198743i −0.995050 0.0993713i \(-0.968317\pi\)
0.995050 0.0993713i \(-0.0316831\pi\)
\(752\) 488.865 + 74.0841i 0.650086 + 0.0985160i
\(753\) 69.6214i 0.0924588i
\(754\) −117.520 4.42078i −0.155861 0.00586311i
\(755\) −0.826095 + 1.99437i −0.00109417 + 0.00264155i
\(756\) 212.231 + 711.559i 0.280729 + 0.941215i
\(757\) −8.82981 21.3170i −0.0116642 0.0281599i 0.917940 0.396719i \(-0.129851\pi\)
−0.929604 + 0.368559i \(0.879851\pi\)