Properties

Label 390.2.bh.b.11.7
Level $390$
Weight $2$
Character 390.11
Analytic conductor $3.114$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bh (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 390.11
Dual form 390.2.bh.b.71.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.05814 - 1.37125i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.707107 + 0.707107i) q^{5} +(-0.667179 - 1.59840i) q^{6} +(1.27100 + 4.74345i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.760676 + 2.90196i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.05814 - 1.37125i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.707107 + 0.707107i) q^{5} +(-0.667179 - 1.59840i) q^{6} +(1.27100 + 4.74345i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.760676 + 2.90196i) q^{9} +(-0.866025 + 0.500000i) q^{10} +(0.174045 - 0.649546i) q^{11} +(-0.230750 - 1.71661i) q^{12} +(0.528886 + 3.56655i) q^{13} +4.91078i q^{14} +(1.71784 + 0.221404i) q^{15} +(0.500000 + 0.866025i) q^{16} +(3.91056 - 6.77329i) q^{17} +(-1.48584 + 2.60620i) q^{18} +(1.01500 - 0.271969i) q^{19} +(-0.965926 + 0.258819i) q^{20} +(5.15957 - 6.76210i) q^{21} +(0.336230 - 0.582367i) q^{22} +(1.67128 + 2.89473i) q^{23} +(0.221404 - 1.71784i) q^{24} -1.00000i q^{25} +(-0.412226 + 3.58191i) q^{26} +(4.78423 - 2.02760i) q^{27} +(-1.27100 + 4.74345i) q^{28} +(-5.85497 + 3.38037i) q^{29} +(1.60200 + 0.658470i) q^{30} +(1.25448 + 1.25448i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-1.07486 + 0.448651i) q^{33} +(5.53037 - 5.53037i) q^{34} +(-4.25286 - 2.45539i) q^{35} +(-2.10974 + 2.13283i) q^{36} +(2.23093 + 0.597776i) q^{37} +1.05081 q^{38} +(4.33101 - 4.49915i) q^{39} -1.00000 q^{40} +(-7.70998 - 2.06588i) q^{41} +(6.73393 - 5.19630i) q^{42} +(-2.63868 - 1.52344i) q^{43} +(0.475501 - 0.475501i) q^{44} +(-1.51412 - 2.58987i) q^{45} +(0.865116 + 3.22866i) q^{46} +(4.77336 + 4.77336i) q^{47} +(0.658470 - 1.60200i) q^{48} +(-14.8227 + 8.55787i) q^{49} +(0.258819 - 0.965926i) q^{50} +(-13.4258 + 1.80472i) q^{51} +(-1.32525 + 3.35317i) q^{52} -13.3055i q^{53} +(5.14599 - 0.720265i) q^{54} +(0.336230 + 0.582367i) q^{55} +(-2.45539 + 4.25286i) q^{56} +(-1.44696 - 1.10405i) q^{57} +(-6.53037 + 1.74981i) q^{58} +(0.859565 - 0.230320i) q^{59} +(1.37699 + 1.05066i) q^{60} +(3.16591 - 5.48352i) q^{61} +(0.887052 + 1.53642i) q^{62} +(-14.7321 + 0.0801745i) q^{63} +1.00000i q^{64} +(-2.89591 - 2.14795i) q^{65} +(-1.15435 + 0.155170i) q^{66} +(1.47371 - 5.49997i) q^{67} +(6.77329 - 3.91056i) q^{68} +(2.20097 - 5.35478i) q^{69} +(-3.47244 - 3.47244i) q^{70} +(3.56633 + 13.3097i) q^{71} +(-2.58987 + 1.51412i) q^{72} +(6.70607 - 6.70607i) q^{73} +(2.00020 + 1.15481i) q^{74} +(-1.37125 + 1.05814i) q^{75} +(1.01500 + 0.271969i) q^{76} +3.30230 q^{77} +(5.34790 - 3.22490i) q^{78} -6.32216 q^{79} +(-0.965926 - 0.258819i) q^{80} +(-7.84274 - 4.41490i) q^{81} +(-6.91257 - 3.99098i) q^{82} +(3.44219 - 3.44219i) q^{83} +(7.84937 - 3.27637i) q^{84} +(2.02426 + 7.55463i) q^{85} +(-2.15447 - 2.15447i) q^{86} +(10.8307 + 4.45175i) q^{87} +(0.582367 - 0.336230i) q^{88} +(2.97431 - 11.1003i) q^{89} +(-0.792216 - 2.89351i) q^{90} +(-16.2455 + 7.04184i) q^{91} +3.34255i q^{92} +(0.392794 - 3.04763i) q^{93} +(3.37528 + 5.84615i) q^{94} +(-0.525404 + 0.910027i) q^{95} +(1.05066 - 1.37699i) q^{96} +(10.5715 - 2.83261i) q^{97} +(-16.5325 + 4.42988i) q^{98} +(1.75256 + 0.999166i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 8 q^{6} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 8 q^{6} + 4 q^{9} + 16 q^{13} + 4 q^{15} + 16 q^{16} + 24 q^{18} + 32 q^{19} + 36 q^{21} + 8 q^{22} - 8 q^{24} + 12 q^{30} - 24 q^{31} - 28 q^{33} - 8 q^{34} - 12 q^{36} + 16 q^{37} - 4 q^{39} - 32 q^{40} - 12 q^{42} + 48 q^{43} - 24 q^{45} + 24 q^{46} - 48 q^{49} - 16 q^{52} - 20 q^{54} + 8 q^{55} + 4 q^{57} - 24 q^{58} + 4 q^{60} + 32 q^{61} - 48 q^{63} - 48 q^{66} - 64 q^{67} - 36 q^{69} - 40 q^{73} - 12 q^{75} + 32 q^{76} + 4 q^{78} - 32 q^{79} + 16 q^{81} + 12 q^{84} + 40 q^{85} - 72 q^{87} - 48 q^{88} - 144 q^{91} + 56 q^{94} - 4 q^{96} + 112 q^{97} + 72 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{7}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −1.05814 1.37125i −0.610918 0.791694i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −0.707107 + 0.707107i −0.316228 + 0.316228i
\(6\) −0.667179 1.59840i −0.272375 0.652543i
\(7\) 1.27100 + 4.74345i 0.480394 + 1.79285i 0.599962 + 0.800029i \(0.295182\pi\)
−0.119568 + 0.992826i \(0.538151\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −0.760676 + 2.90196i −0.253559 + 0.967320i
\(10\) −0.866025 + 0.500000i −0.273861 + 0.158114i
\(11\) 0.174045 0.649546i 0.0524766 0.195845i −0.934711 0.355408i \(-0.884342\pi\)
0.987188 + 0.159563i \(0.0510085\pi\)
\(12\) −0.230750 1.71661i −0.0666117 0.495543i
\(13\) 0.528886 + 3.56655i 0.146687 + 0.989183i
\(14\) 4.91078i 1.31246i
\(15\) 1.71784 + 0.221404i 0.443545 + 0.0571664i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 3.91056 6.77329i 0.948451 1.64277i 0.199761 0.979845i \(-0.435983\pi\)
0.748690 0.662920i \(-0.230683\pi\)
\(18\) −1.48584 + 2.60620i −0.350216 + 0.614287i
\(19\) 1.01500 0.271969i 0.232858 0.0623941i −0.140503 0.990080i \(-0.544872\pi\)
0.373361 + 0.927686i \(0.378205\pi\)
\(20\) −0.965926 + 0.258819i −0.215988 + 0.0578737i
\(21\) 5.15957 6.76210i 1.12591 1.47561i
\(22\) 0.336230 0.582367i 0.0716844 0.124161i
\(23\) 1.67128 + 2.89473i 0.348485 + 0.603594i 0.985981 0.166860i \(-0.0533629\pi\)
−0.637496 + 0.770454i \(0.720030\pi\)
\(24\) 0.221404 1.71784i 0.0451940 0.350653i
\(25\) 1.00000i 0.200000i
\(26\) −0.412226 + 3.58191i −0.0808443 + 0.702470i
\(27\) 4.78423 2.02760i 0.920725 0.390212i
\(28\) −1.27100 + 4.74345i −0.240197 + 0.896427i
\(29\) −5.85497 + 3.38037i −1.08724 + 0.627719i −0.932840 0.360290i \(-0.882678\pi\)
−0.154400 + 0.988008i \(0.549345\pi\)
\(30\) 1.60200 + 0.658470i 0.292485 + 0.120220i
\(31\) 1.25448 + 1.25448i 0.225311 + 0.225311i 0.810731 0.585419i \(-0.199070\pi\)
−0.585419 + 0.810731i \(0.699070\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −1.07486 + 0.448651i −0.187109 + 0.0781001i
\(34\) 5.53037 5.53037i 0.948451 0.948451i
\(35\) −4.25286 2.45539i −0.718864 0.415037i
\(36\) −2.10974 + 2.13283i −0.351624 + 0.355472i
\(37\) 2.23093 + 0.597776i 0.366763 + 0.0982737i 0.437493 0.899222i \(-0.355866\pi\)
−0.0707306 + 0.997495i \(0.522533\pi\)
\(38\) 1.05081 0.170464
\(39\) 4.33101 4.49915i 0.693517 0.720441i
\(40\) −1.00000 −0.158114
\(41\) −7.70998 2.06588i −1.20410 0.322637i −0.399653 0.916667i \(-0.630869\pi\)
−0.804443 + 0.594030i \(0.797536\pi\)
\(42\) 6.73393 5.19630i 1.03907 0.801806i
\(43\) −2.63868 1.52344i −0.402395 0.232323i 0.285122 0.958491i \(-0.407966\pi\)
−0.687517 + 0.726168i \(0.741299\pi\)
\(44\) 0.475501 0.475501i 0.0716844 0.0716844i
\(45\) −1.51412 2.58987i −0.225711 0.386076i
\(46\) 0.865116 + 3.22866i 0.127554 + 0.476039i
\(47\) 4.77336 + 4.77336i 0.696267 + 0.696267i 0.963603 0.267336i \(-0.0861435\pi\)
−0.267336 + 0.963603i \(0.586144\pi\)
\(48\) 0.658470 1.60200i 0.0950420 0.231229i
\(49\) −14.8227 + 8.55787i −2.11752 + 1.22255i
\(50\) 0.258819 0.965926i 0.0366025 0.136603i
\(51\) −13.4258 + 1.80472i −1.87999 + 0.252712i
\(52\) −1.32525 + 3.35317i −0.183779 + 0.465000i
\(53\) 13.3055i 1.82765i −0.406110 0.913824i \(-0.633115\pi\)
0.406110 0.913824i \(-0.366885\pi\)
\(54\) 5.14599 0.720265i 0.700281 0.0980157i
\(55\) 0.336230 + 0.582367i 0.0453372 + 0.0785263i
\(56\) −2.45539 + 4.25286i −0.328115 + 0.568312i
\(57\) −1.44696 1.10405i −0.191654 0.146234i
\(58\) −6.53037 + 1.74981i −0.857480 + 0.229761i
\(59\) 0.859565 0.230320i 0.111906 0.0299851i −0.202432 0.979296i \(-0.564884\pi\)
0.314337 + 0.949311i \(0.398218\pi\)
\(60\) 1.37699 + 1.05066i 0.177769 + 0.135640i
\(61\) 3.16591 5.48352i 0.405354 0.702093i −0.589009 0.808127i \(-0.700482\pi\)
0.994363 + 0.106033i \(0.0338150\pi\)
\(62\) 0.887052 + 1.53642i 0.112656 + 0.195125i
\(63\) −14.7321 + 0.0801745i −1.85607 + 0.0101010i
\(64\) 1.00000i 0.125000i
\(65\) −2.89591 2.14795i −0.359194 0.266421i
\(66\) −1.15435 + 0.155170i −0.142091 + 0.0191001i
\(67\) 1.47371 5.49997i 0.180043 0.671928i −0.815595 0.578623i \(-0.803590\pi\)
0.995638 0.0933047i \(-0.0297431\pi\)
\(68\) 6.77329 3.91056i 0.821383 0.474225i
\(69\) 2.20097 5.35478i 0.264966 0.644640i
\(70\) −3.47244 3.47244i −0.415037 0.415037i
\(71\) 3.56633 + 13.3097i 0.423246 + 1.57957i 0.767724 + 0.640780i \(0.221389\pi\)
−0.344479 + 0.938794i \(0.611944\pi\)
\(72\) −2.58987 + 1.51412i −0.305220 + 0.178440i
\(73\) 6.70607 6.70607i 0.784886 0.784886i −0.195765 0.980651i \(-0.562719\pi\)
0.980651 + 0.195765i \(0.0627190\pi\)
\(74\) 2.00020 + 1.15481i 0.232518 + 0.134244i
\(75\) −1.37125 + 1.05814i −0.158339 + 0.122184i
\(76\) 1.01500 + 0.271969i 0.116429 + 0.0311970i
\(77\) 3.30230 0.376332
\(78\) 5.34790 3.22490i 0.605531 0.365148i
\(79\) −6.32216 −0.711299 −0.355649 0.934619i \(-0.615740\pi\)
−0.355649 + 0.934619i \(0.615740\pi\)
\(80\) −0.965926 0.258819i −0.107994 0.0289368i
\(81\) −7.84274 4.41490i −0.871416 0.490545i
\(82\) −6.91257 3.99098i −0.763366 0.440730i
\(83\) 3.44219 3.44219i 0.377830 0.377830i −0.492489 0.870319i \(-0.663913\pi\)
0.870319 + 0.492489i \(0.163913\pi\)
\(84\) 7.84937 3.27637i 0.856437 0.357481i
\(85\) 2.02426 + 7.55463i 0.219561 + 0.819414i
\(86\) −2.15447 2.15447i −0.232323 0.232323i
\(87\) 10.8307 + 4.45175i 1.16118 + 0.477277i
\(88\) 0.582367 0.336230i 0.0620805 0.0358422i
\(89\) 2.97431 11.1003i 0.315277 1.17663i −0.608455 0.793588i \(-0.708210\pi\)
0.923732 0.383040i \(-0.125123\pi\)
\(90\) −0.792216 2.89351i −0.0835069 0.305003i
\(91\) −16.2455 + 7.04184i −1.70299 + 0.738185i
\(92\) 3.34255i 0.348485i
\(93\) 0.392794 3.04763i 0.0407309 0.316024i
\(94\) 3.37528 + 5.84615i 0.348133 + 0.602985i
\(95\) −0.525404 + 0.910027i −0.0539054 + 0.0933668i
\(96\) 1.05066 1.37699i 0.107233 0.140539i
\(97\) 10.5715 2.83261i 1.07337 0.287608i 0.321492 0.946912i \(-0.395816\pi\)
0.751877 + 0.659304i \(0.229149\pi\)
\(98\) −16.5325 + 4.42988i −1.67004 + 0.447486i
\(99\) 1.75256 + 0.999166i 0.176139 + 0.100420i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) −2.53532 4.39130i −0.252274 0.436951i 0.711878 0.702303i \(-0.247845\pi\)
−0.964151 + 0.265353i \(0.914512\pi\)
\(102\) −13.4355 1.73163i −1.33031 0.171457i
\(103\) 8.52836i 0.840325i 0.907449 + 0.420162i \(0.138027\pi\)
−0.907449 + 0.420162i \(0.861973\pi\)
\(104\) −2.14795 + 2.89591i −0.210624 + 0.283967i
\(105\) 1.13316 + 8.42990i 0.110585 + 0.822674i
\(106\) 3.44371 12.8521i 0.334483 1.24831i
\(107\) 0.667592 0.385435i 0.0645386 0.0372614i −0.467383 0.884055i \(-0.654803\pi\)
0.531922 + 0.846793i \(0.321470\pi\)
\(108\) 5.15706 + 0.636158i 0.496239 + 0.0612143i
\(109\) −7.62539 7.62539i −0.730380 0.730380i 0.240315 0.970695i \(-0.422749\pi\)
−0.970695 + 0.240315i \(0.922749\pi\)
\(110\) 0.174045 + 0.649546i 0.0165946 + 0.0619318i
\(111\) −1.54094 3.69170i −0.146259 0.350401i
\(112\) −3.47244 + 3.47244i −0.328115 + 0.328115i
\(113\) −5.55216 3.20554i −0.522304 0.301552i 0.215573 0.976488i \(-0.430838\pi\)
−0.737877 + 0.674936i \(0.764171\pi\)
\(114\) −1.11190 1.44093i −0.104139 0.134955i
\(115\) −3.22866 0.865116i −0.301074 0.0806724i
\(116\) −6.76074 −0.627719
\(117\) −10.7523 1.17818i −0.994050 0.108923i
\(118\) 0.889887 0.0819207
\(119\) 37.0991 + 9.94067i 3.40087 + 0.911260i
\(120\) 1.05814 + 1.37125i 0.0965946 + 0.125178i
\(121\) 9.13466 + 5.27390i 0.830424 + 0.479445i
\(122\) 4.47728 4.47728i 0.405354 0.405354i
\(123\) 5.32539 + 12.7583i 0.480174 + 1.15038i
\(124\) 0.459172 + 1.71365i 0.0412348 + 0.153890i
\(125\) 0.707107 + 0.707107i 0.0632456 + 0.0632456i
\(126\) −14.2509 3.73551i −1.26957 0.332786i
\(127\) −1.26845 + 0.732338i −0.112557 + 0.0649845i −0.555221 0.831703i \(-0.687366\pi\)
0.442665 + 0.896687i \(0.354033\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 0.703068 + 5.23032i 0.0619017 + 0.460504i
\(130\) −2.24130 2.82428i −0.196575 0.247706i
\(131\) 9.87986i 0.863207i −0.902063 0.431604i \(-0.857948\pi\)
0.902063 0.431604i \(-0.142052\pi\)
\(132\) −1.15518 0.148886i −0.100545 0.0129588i
\(133\) 2.58014 + 4.46894i 0.223727 + 0.387506i
\(134\) 2.84699 4.93113i 0.245943 0.425985i
\(135\) −1.94923 + 4.81669i −0.167763 + 0.414555i
\(136\) 7.55463 2.02426i 0.647804 0.173579i
\(137\) 6.18353 1.65687i 0.528295 0.141556i 0.0151941 0.999885i \(-0.495163\pi\)
0.513101 + 0.858328i \(0.328497\pi\)
\(138\) 3.51189 4.60267i 0.298952 0.391805i
\(139\) 11.1744 19.3546i 0.947797 1.64163i 0.197744 0.980254i \(-0.436638\pi\)
0.750052 0.661378i \(-0.230028\pi\)
\(140\) −2.45539 4.25286i −0.207518 0.359432i
\(141\) 1.49460 11.5964i 0.125868 0.976592i
\(142\) 13.7792i 1.15633i
\(143\) 2.40869 + 0.277206i 0.201425 + 0.0231811i
\(144\) −2.89351 + 0.792216i −0.241126 + 0.0660180i
\(145\) 1.74981 6.53037i 0.145314 0.542318i
\(146\) 8.21322 4.74191i 0.679731 0.392443i
\(147\) 27.4195 + 11.2702i 2.26152 + 0.929551i
\(148\) 1.63315 + 1.63315i 0.134244 + 0.134244i
\(149\) −3.55295 13.2598i −0.291069 1.08628i −0.944289 0.329116i \(-0.893249\pi\)
0.653221 0.757168i \(-0.273417\pi\)
\(150\) −1.59840 + 0.667179i −0.130509 + 0.0544749i
\(151\) −2.60236 + 2.60236i −0.211777 + 0.211777i −0.805022 0.593245i \(-0.797847\pi\)
0.593245 + 0.805022i \(0.297847\pi\)
\(152\) 0.910027 + 0.525404i 0.0738130 + 0.0426159i
\(153\) 16.6812 + 16.5006i 1.34859 + 1.33399i
\(154\) 3.18978 + 0.854698i 0.257039 + 0.0688735i
\(155\) −1.77410 −0.142499
\(156\) 6.00034 1.73087i 0.480412 0.138581i
\(157\) −3.10112 −0.247496 −0.123748 0.992314i \(-0.539492\pi\)
−0.123748 + 0.992314i \(0.539492\pi\)
\(158\) −6.10674 1.63630i −0.485826 0.130177i
\(159\) −18.2452 + 14.0791i −1.44694 + 1.11654i
\(160\) −0.866025 0.500000i −0.0684653 0.0395285i
\(161\) −11.6068 + 11.6068i −0.914746 + 0.914746i
\(162\) −6.43285 6.29432i −0.505412 0.494528i
\(163\) 0.668619 + 2.49532i 0.0523703 + 0.195449i 0.987155 0.159767i \(-0.0510742\pi\)
−0.934785 + 0.355215i \(0.884408\pi\)
\(164\) −5.64409 5.64409i −0.440730 0.440730i
\(165\) 0.442795 1.07728i 0.0344715 0.0838663i
\(166\) 4.21581 2.43400i 0.327210 0.188915i
\(167\) −4.08888 + 15.2599i −0.316407 + 1.18085i 0.606265 + 0.795263i \(0.292667\pi\)
−0.922672 + 0.385585i \(0.874000\pi\)
\(168\) 8.42990 1.13316i 0.650381 0.0874253i
\(169\) −12.4406 + 3.77260i −0.956966 + 0.290200i
\(170\) 7.82113i 0.599853i
\(171\) 0.0171557 + 3.15238i 0.00131193 + 0.241069i
\(172\) −1.52344 2.63868i −0.116161 0.201198i
\(173\) −4.69031 + 8.12385i −0.356597 + 0.617645i −0.987390 0.158307i \(-0.949397\pi\)
0.630793 + 0.775952i \(0.282730\pi\)
\(174\) 9.30948 + 7.10326i 0.705750 + 0.538496i
\(175\) 4.74345 1.27100i 0.358571 0.0960788i
\(176\) 0.649546 0.174045i 0.0489614 0.0131192i
\(177\) −1.22537 0.934971i −0.0921042 0.0702767i
\(178\) 5.74593 9.95225i 0.430676 0.745953i
\(179\) −8.18472 14.1764i −0.611755 1.05959i −0.990945 0.134271i \(-0.957131\pi\)
0.379190 0.925319i \(-0.376203\pi\)
\(180\) −0.0163262 2.99996i −0.00121688 0.223603i
\(181\) 8.01719i 0.595913i 0.954579 + 0.297956i \(0.0963050\pi\)
−0.954579 + 0.297956i \(0.903695\pi\)
\(182\) −17.5145 + 2.59724i −1.29826 + 0.192520i
\(183\) −10.8693 + 1.46107i −0.803481 + 0.108005i
\(184\) −0.865116 + 3.22866i −0.0637772 + 0.238020i
\(185\) −2.00020 + 1.15481i −0.147057 + 0.0849036i
\(186\) 1.16819 2.84212i 0.0856562 0.208394i
\(187\) −3.71895 3.71895i −0.271957 0.271957i
\(188\) 1.74717 + 6.52054i 0.127426 + 0.475559i
\(189\) 15.6986 + 20.1166i 1.14190 + 1.46327i
\(190\) −0.743034 + 0.743034i −0.0539054 + 0.0539054i
\(191\) −5.53512 3.19570i −0.400507 0.231233i 0.286196 0.958171i \(-0.407609\pi\)
−0.686703 + 0.726938i \(0.740943\pi\)
\(192\) 1.37125 1.05814i 0.0989617 0.0763647i
\(193\) 4.48380 + 1.20143i 0.322751 + 0.0864808i 0.416557 0.909110i \(-0.363237\pi\)
−0.0938061 + 0.995590i \(0.529903\pi\)
\(194\) 10.9444 0.785761
\(195\) 0.118892 + 6.24387i 0.00851405 + 0.447133i
\(196\) −17.1157 −1.22255
\(197\) −0.550371 0.147471i −0.0392123 0.0105069i 0.239160 0.970980i \(-0.423128\pi\)
−0.278372 + 0.960473i \(0.589795\pi\)
\(198\) 1.43424 + 1.41872i 0.101927 + 0.100824i
\(199\) 6.62061 + 3.82241i 0.469323 + 0.270964i 0.715956 0.698145i \(-0.245991\pi\)
−0.246633 + 0.969109i \(0.579324\pi\)
\(200\) 0.707107 0.707107i 0.0500000 0.0500000i
\(201\) −9.10125 + 3.79891i −0.641952 + 0.267954i
\(202\) −1.31238 4.89786i −0.0923386 0.344612i
\(203\) −23.4763 23.4763i −1.64771 1.64771i
\(204\) −12.5295 5.14998i −0.877239 0.360571i
\(205\) 6.91257 3.99098i 0.482795 0.278742i
\(206\) −2.20730 + 8.23777i −0.153790 + 0.573952i
\(207\) −9.67170 + 2.64802i −0.672230 + 0.184050i
\(208\) −2.82428 + 2.24130i −0.195829 + 0.155406i
\(209\) 0.706626i 0.0488784i
\(210\) −1.08727 + 8.43594i −0.0750286 + 0.582135i
\(211\) 4.55259 + 7.88532i 0.313414 + 0.542848i 0.979099 0.203384i \(-0.0651941\pi\)
−0.665685 + 0.746232i \(0.731861\pi\)
\(212\) 6.65274 11.5229i 0.456912 0.791395i
\(213\) 14.4773 18.9739i 0.991971 1.30007i
\(214\) 0.744603 0.199516i 0.0509000 0.0136386i
\(215\) 2.94307 0.788592i 0.200715 0.0537815i
\(216\) 4.81669 + 1.94923i 0.327734 + 0.132628i
\(217\) −4.35611 + 7.54501i −0.295712 + 0.512189i
\(218\) −5.39196 9.33916i −0.365190 0.632527i
\(219\) −16.2917 2.09976i −1.10089 0.141889i
\(220\) 0.672459i 0.0453372i
\(221\) 26.2255 + 10.3649i 1.76412 + 0.697220i
\(222\) −0.532946 3.96473i −0.0357690 0.266096i
\(223\) 3.03834 11.3392i 0.203462 0.759332i −0.786450 0.617654i \(-0.788083\pi\)
0.989913 0.141679i \(-0.0452500\pi\)
\(224\) −4.25286 + 2.45539i −0.284156 + 0.164058i
\(225\) 2.90196 + 0.760676i 0.193464 + 0.0507117i
\(226\) −4.53332 4.53332i −0.301552 0.301552i
\(227\) 4.92103 + 18.3655i 0.326620 + 1.21896i 0.912673 + 0.408691i \(0.134015\pi\)
−0.586052 + 0.810273i \(0.699319\pi\)
\(228\) −0.701078 1.67961i −0.0464300 0.111235i
\(229\) 11.0904 11.0904i 0.732876 0.732876i −0.238312 0.971189i \(-0.576594\pi\)
0.971189 + 0.238312i \(0.0765942\pi\)
\(230\) −2.89473 1.67128i −0.190873 0.110201i
\(231\) −3.49430 4.52829i −0.229908 0.297940i
\(232\) −6.53037 1.74981i −0.428740 0.114881i
\(233\) 2.66213 0.174402 0.0872011 0.996191i \(-0.472208\pi\)
0.0872011 + 0.996191i \(0.472208\pi\)
\(234\) −10.0810 3.92094i −0.659015 0.256320i
\(235\) −6.75056 −0.440358
\(236\) 0.859565 + 0.230320i 0.0559529 + 0.0149925i
\(237\) 6.68974 + 8.66929i 0.434545 + 0.563131i
\(238\) 33.2621 + 19.2039i 2.15606 + 1.24480i
\(239\) −13.6438 + 13.6438i −0.882542 + 0.882542i −0.993792 0.111250i \(-0.964515\pi\)
0.111250 + 0.993792i \(0.464515\pi\)
\(240\) 0.667179 + 1.59840i 0.0430662 + 0.103176i
\(241\) −2.24088 8.36309i −0.144348 0.538714i −0.999784 0.0208047i \(-0.993377\pi\)
0.855436 0.517909i \(-0.173290\pi\)
\(242\) 7.45842 + 7.45842i 0.479445 + 0.479445i
\(243\) 2.24478 + 15.4260i 0.144003 + 0.989577i
\(244\) 5.48352 3.16591i 0.351047 0.202677i
\(245\) 4.42988 16.5325i 0.283015 1.05623i
\(246\) 1.84183 + 13.7019i 0.117431 + 0.873602i
\(247\) 1.50681 + 3.47622i 0.0958762 + 0.221187i
\(248\) 1.77410i 0.112656i
\(249\) −8.36245 1.07780i −0.529949 0.0683026i
\(250\) 0.500000 + 0.866025i 0.0316228 + 0.0547723i
\(251\) −10.2794 + 17.8044i −0.648830 + 1.12381i 0.334573 + 0.942370i \(0.391408\pi\)
−0.983403 + 0.181436i \(0.941925\pi\)
\(252\) −12.7985 7.29663i −0.806228 0.459644i
\(253\) 2.17114 0.581755i 0.136498 0.0365746i
\(254\) −1.41477 + 0.379086i −0.0887705 + 0.0237860i
\(255\) 8.21737 10.7696i 0.514591 0.674420i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 6.90976 + 11.9681i 0.431019 + 0.746547i 0.996961 0.0778979i \(-0.0248208\pi\)
−0.565942 + 0.824445i \(0.691487\pi\)
\(258\) −0.674594 + 5.23407i −0.0419984 + 0.325859i
\(259\) 11.3421i 0.704762i
\(260\) −1.43396 3.30814i −0.0889302 0.205162i
\(261\) −5.35596 19.5623i −0.331526 1.21087i
\(262\) 2.55709 9.54321i 0.157978 0.589581i
\(263\) 15.1100 8.72375i 0.931721 0.537929i 0.0443656 0.999015i \(-0.485873\pi\)
0.887355 + 0.461086i \(0.152540\pi\)
\(264\) −1.07728 0.442795i −0.0663022 0.0272521i
\(265\) 9.40840 + 9.40840i 0.577953 + 0.577953i
\(266\) 1.33558 + 4.98446i 0.0818897 + 0.305617i
\(267\) −18.3686 + 7.66713i −1.12414 + 0.469221i
\(268\) 4.02625 4.02625i 0.245943 0.245943i
\(269\) 20.4762 + 11.8220i 1.24846 + 0.720798i 0.970802 0.239882i \(-0.0771089\pi\)
0.277657 + 0.960680i \(0.410442\pi\)
\(270\) −3.12946 + 4.14807i −0.190453 + 0.252443i
\(271\) 14.4576 + 3.87391i 0.878237 + 0.235323i 0.669647 0.742680i \(-0.266446\pi\)
0.208591 + 0.978003i \(0.433112\pi\)
\(272\) 7.82113 0.474225
\(273\) 26.8462 + 14.8255i 1.62481 + 0.897279i
\(274\) 6.40166 0.386739
\(275\) −0.649546 0.174045i −0.0391691 0.0104953i
\(276\) 4.58349 3.53689i 0.275893 0.212896i
\(277\) 6.03963 + 3.48698i 0.362886 + 0.209512i 0.670346 0.742049i \(-0.266146\pi\)
−0.307460 + 0.951561i \(0.599479\pi\)
\(278\) 15.8029 15.8029i 0.947797 0.947797i
\(279\) −4.59470 + 2.68620i −0.275078 + 0.160819i
\(280\) −1.27100 4.74345i −0.0759570 0.283475i
\(281\) 16.0529 + 16.0529i 0.957637 + 0.957637i 0.999138 0.0415012i \(-0.0132140\pi\)
−0.0415012 + 0.999138i \(0.513214\pi\)
\(282\) 4.44504 10.8144i 0.264698 0.643989i
\(283\) 14.7346 8.50704i 0.875883 0.505691i 0.00658414 0.999978i \(-0.497904\pi\)
0.869299 + 0.494287i \(0.164571\pi\)
\(284\) −3.56633 + 13.3097i −0.211623 + 0.789787i
\(285\) 1.80383 0.242474i 0.106850 0.0143629i
\(286\) 2.25487 + 0.891174i 0.133333 + 0.0526962i
\(287\) 39.1976i 2.31376i
\(288\) −2.99996 + 0.0163262i −0.176774 + 0.000962032i
\(289\) −22.0850 38.2524i −1.29912 2.25014i
\(290\) 3.38037 5.85497i 0.198502 0.343816i
\(291\) −15.0703 11.4989i −0.883438 0.674075i
\(292\) 9.16066 2.45459i 0.536087 0.143644i
\(293\) −20.5651 + 5.51039i −1.20142 + 0.321921i −0.803392 0.595451i \(-0.796973\pi\)
−0.398032 + 0.917371i \(0.630307\pi\)
\(294\) 23.5682 + 17.9829i 1.37453 + 1.04878i
\(295\) −0.444943 + 0.770664i −0.0259056 + 0.0448698i
\(296\) 1.15481 + 2.00020i 0.0671222 + 0.116259i
\(297\) −0.484349 3.46047i −0.0281048 0.200797i
\(298\) 13.7275i 0.795215i
\(299\) −9.44030 + 7.49167i −0.545947 + 0.433254i
\(300\) −1.71661 + 0.230750i −0.0991086 + 0.0133223i
\(301\) 3.87260 14.4527i 0.223213 0.833042i
\(302\) −3.18723 + 1.84015i −0.183404 + 0.105889i
\(303\) −3.33886 + 8.12318i −0.191813 + 0.466665i
\(304\) 0.743034 + 0.743034i 0.0426159 + 0.0426159i
\(305\) 1.63880 + 6.11608i 0.0938373 + 0.350206i
\(306\) 11.8421 + 20.2557i 0.676968 + 1.15794i
\(307\) 21.3686 21.3686i 1.21957 1.21957i 0.251791 0.967782i \(-0.418981\pi\)
0.967782 0.251791i \(-0.0810194\pi\)
\(308\) 2.85987 + 1.65115i 0.162956 + 0.0940830i
\(309\) 11.6946 9.02421i 0.665280 0.513369i
\(310\) −1.71365 0.459172i −0.0973289 0.0260792i
\(311\) −3.85067 −0.218351 −0.109176 0.994022i \(-0.534821\pi\)
−0.109176 + 0.994022i \(0.534821\pi\)
\(312\) 6.24387 0.118892i 0.353489 0.00673094i
\(313\) −20.6012 −1.16445 −0.582225 0.813028i \(-0.697818\pi\)
−0.582225 + 0.813028i \(0.697818\pi\)
\(314\) −2.99545 0.802629i −0.169043 0.0452950i
\(315\) 10.3605 10.4739i 0.583747 0.590136i
\(316\) −5.47515 3.16108i −0.308001 0.177825i
\(317\) −11.9355 + 11.9355i −0.670367 + 0.670367i −0.957801 0.287434i \(-0.907198\pi\)
0.287434 + 0.957801i \(0.407198\pi\)
\(318\) −21.2674 + 8.87714i −1.19262 + 0.497805i
\(319\) 1.17667 + 4.39141i 0.0658811 + 0.245872i
\(320\) −0.707107 0.707107i −0.0395285 0.0395285i
\(321\) −1.23494 0.507595i −0.0689274 0.0283312i
\(322\) −14.2154 + 8.20726i −0.792193 + 0.457373i
\(323\) 2.12711 7.93847i 0.118355 0.441708i
\(324\) −4.58457 7.74479i −0.254698 0.430266i
\(325\) 3.56655 0.528886i 0.197837 0.0293373i
\(326\) 2.58335i 0.143078i
\(327\) −2.38761 + 18.5251i −0.132035 + 1.02444i
\(328\) −3.99098 6.91257i −0.220365 0.381683i
\(329\) −16.5752 + 28.7092i −0.913823 + 1.58279i
\(330\) 0.706528 0.925971i 0.0388931 0.0509730i
\(331\) −9.51447 + 2.54939i −0.522962 + 0.140127i −0.510637 0.859797i \(-0.670590\pi\)
−0.0123259 + 0.999924i \(0.503924\pi\)
\(332\) 4.70212 1.25993i 0.258063 0.0691477i
\(333\) −3.43174 + 6.01936i −0.188058 + 0.329859i
\(334\) −7.89911 + 13.6817i −0.432220 + 0.748627i
\(335\) 2.84699 + 4.93113i 0.155548 + 0.269417i
\(336\) 8.43594 + 1.08727i 0.460218 + 0.0593154i
\(337\) 13.3736i 0.728506i 0.931300 + 0.364253i \(0.118676\pi\)
−0.931300 + 0.364253i \(0.881324\pi\)
\(338\) −12.9931 + 0.424195i −0.706730 + 0.0230732i
\(339\) 1.47936 + 11.0053i 0.0803476 + 0.597728i
\(340\) −2.02426 + 7.55463i −0.109781 + 0.409707i
\(341\) 1.03318 0.596506i 0.0559498 0.0323026i
\(342\) −0.799325 + 3.04941i −0.0432225 + 0.164893i
\(343\) −35.1264 35.1264i −1.89665 1.89665i
\(344\) −0.788592 2.94307i −0.0425180 0.158679i
\(345\) 2.23008 + 5.34272i 0.120063 + 0.287642i
\(346\) −6.63310 + 6.63310i −0.356597 + 0.356597i
\(347\) 7.46309 + 4.30882i 0.400640 + 0.231309i 0.686760 0.726884i \(-0.259032\pi\)
−0.286120 + 0.958194i \(0.592366\pi\)
\(348\) 7.15381 + 9.27069i 0.383485 + 0.496961i
\(349\) −19.2413 5.15568i −1.02996 0.275977i −0.296013 0.955184i \(-0.595657\pi\)
−0.733947 + 0.679207i \(0.762324\pi\)
\(350\) 4.91078 0.262492
\(351\) 9.76186 + 15.9908i 0.521049 + 0.853527i
\(352\) 0.672459 0.0358422
\(353\) −11.6723 3.12758i −0.621252 0.166464i −0.0655554 0.997849i \(-0.520882\pi\)
−0.555697 + 0.831385i \(0.687549\pi\)
\(354\) −0.941626 1.22026i −0.0500468 0.0648561i
\(355\) −11.9332 6.88962i −0.633347 0.365663i
\(356\) 8.12598 8.12598i 0.430676 0.430676i
\(357\) −25.6249 61.3909i −1.35621 3.24915i
\(358\) −4.23672 15.8117i −0.223918 0.835673i
\(359\) −19.8462 19.8462i −1.04744 1.04744i −0.998817 0.0486248i \(-0.984516\pi\)
−0.0486248 0.998817i \(-0.515484\pi\)
\(360\) 0.760676 2.90196i 0.0400911 0.152947i
\(361\) −15.4982 + 8.94790i −0.815696 + 0.470942i
\(362\) −2.07500 + 7.74401i −0.109060 + 0.407016i
\(363\) −2.43390 18.1065i −0.127747 0.950343i
\(364\) −17.5900 2.02435i −0.921964 0.106105i
\(365\) 9.48381i 0.496405i
\(366\) −10.8771 1.40190i −0.568554 0.0732782i
\(367\) −15.7064 27.2043i −0.819868 1.42005i −0.905779 0.423751i \(-0.860713\pi\)
0.0859107 0.996303i \(-0.472620\pi\)
\(368\) −1.67128 + 2.89473i −0.0871212 + 0.150898i
\(369\) 11.8599 20.8026i 0.617402 1.08294i
\(370\) −2.23093 + 0.597776i −0.115981 + 0.0310769i
\(371\) 63.1139 16.9113i 3.27671 0.877991i
\(372\) 1.86398 2.44293i 0.0966431 0.126660i
\(373\) −16.6404 + 28.8220i −0.861608 + 1.49235i 0.00876839 + 0.999962i \(0.497209\pi\)
−0.870376 + 0.492387i \(0.836124\pi\)
\(374\) −2.62969 4.55476i −0.135978 0.235521i
\(375\) 0.221404 1.71784i 0.0114333 0.0887090i
\(376\) 6.75056i 0.348133i
\(377\) −15.1529 19.0942i −0.780412 0.983402i
\(378\) 9.95711 + 23.4943i 0.512138 + 1.20842i
\(379\) −4.85522 + 18.1199i −0.249396 + 0.930758i 0.721727 + 0.692178i \(0.243349\pi\)
−0.971123 + 0.238580i \(0.923318\pi\)
\(380\) −0.910027 + 0.525404i −0.0466834 + 0.0269527i
\(381\) 2.34642 + 0.964447i 0.120211 + 0.0494101i
\(382\) −4.51941 4.51941i −0.231233 0.231233i
\(383\) −1.07660 4.01791i −0.0550115 0.205306i 0.932950 0.360006i \(-0.117225\pi\)
−0.987961 + 0.154700i \(0.950559\pi\)
\(384\) 1.59840 0.667179i 0.0815678 0.0340468i
\(385\) −2.33508 + 2.33508i −0.119007 + 0.119007i
\(386\) 4.02006 + 2.32098i 0.204616 + 0.118135i
\(387\) 6.42815 6.49850i 0.326761 0.330337i
\(388\) 10.5715 + 2.83261i 0.536684 + 0.143804i
\(389\) −6.01112 −0.304776 −0.152388 0.988321i \(-0.548696\pi\)
−0.152388 + 0.988321i \(0.548696\pi\)
\(390\) −1.50119 + 6.06188i −0.0760157 + 0.306955i
\(391\) 26.1425 1.32208
\(392\) −16.5325 4.42988i −0.835019 0.223743i
\(393\) −13.5478 + 10.4543i −0.683396 + 0.527349i
\(394\) −0.493449 0.284893i −0.0248596 0.0143527i
\(395\) 4.47044 4.47044i 0.224932 0.224932i
\(396\) 1.01818 + 1.74159i 0.0511656 + 0.0875180i
\(397\) −6.42226 23.9682i −0.322324 1.20293i −0.916975 0.398946i \(-0.869376\pi\)
0.594650 0.803984i \(-0.297290\pi\)
\(398\) 5.40571 + 5.40571i 0.270964 + 0.270964i
\(399\) 3.39790 8.26680i 0.170108 0.413858i
\(400\) 0.866025 0.500000i 0.0433013 0.0250000i
\(401\) 5.02288 18.7456i 0.250830 0.936112i −0.719532 0.694459i \(-0.755644\pi\)
0.970363 0.241653i \(-0.0776896\pi\)
\(402\) −9.77436 + 1.31389i −0.487501 + 0.0655307i
\(403\) −3.81069 + 5.13764i −0.189824 + 0.255924i
\(404\) 5.07064i 0.252274i
\(405\) 8.66746 2.42385i 0.430690 0.120442i
\(406\) −16.6002 28.7525i −0.823856 1.42696i
\(407\) 0.776566 1.34505i 0.0384929 0.0666717i
\(408\) −10.7696 8.21737i −0.533176 0.406820i
\(409\) 29.8016 7.98531i 1.47359 0.394848i 0.569432 0.822039i \(-0.307163\pi\)
0.904162 + 0.427190i \(0.140497\pi\)
\(410\) 7.70998 2.06588i 0.380769 0.102027i
\(411\) −8.81504 6.72599i −0.434814 0.331769i
\(412\) −4.26418 + 7.38578i −0.210081 + 0.363871i
\(413\) 2.18502 + 3.78456i 0.107518 + 0.186226i
\(414\) −10.0275 + 0.0545712i −0.492825 + 0.00268203i
\(415\) 4.86800i 0.238961i
\(416\) −3.30814 + 1.43396i −0.162195 + 0.0703055i
\(417\) −38.3641 + 5.15696i −1.87870 + 0.252538i
\(418\) 0.182888 0.682549i 0.00894536 0.0333845i
\(419\) 5.56782 3.21458i 0.272006 0.157043i −0.357793 0.933801i \(-0.616471\pi\)
0.629799 + 0.776758i \(0.283137\pi\)
\(420\) −3.23360 + 7.86709i −0.157784 + 0.383875i
\(421\) −7.68239 7.68239i −0.374417 0.374417i 0.494666 0.869083i \(-0.335290\pi\)
−0.869083 + 0.494666i \(0.835290\pi\)
\(422\) 2.35660 + 8.79494i 0.114717 + 0.428131i
\(423\) −17.4831 + 10.2211i −0.850057 + 0.496968i
\(424\) 9.40840 9.40840i 0.456912 0.456912i
\(425\) −6.77329 3.91056i −0.328553 0.189690i
\(426\) 18.8948 14.5804i 0.915458 0.706422i
\(427\) 30.0347 + 8.04777i 1.45348 + 0.389459i
\(428\) 0.770869 0.0372614
\(429\) −2.16861 3.59625i −0.104702 0.173628i
\(430\) 3.04689 0.146934
\(431\) 11.6153 + 3.11231i 0.559489 + 0.149915i 0.527472 0.849573i \(-0.323140\pi\)
0.0320175 + 0.999487i \(0.489807\pi\)
\(432\) 4.14807 + 3.12946i 0.199574 + 0.150566i
\(433\) 8.33984 + 4.81501i 0.400787 + 0.231395i 0.686824 0.726824i \(-0.259005\pi\)
−0.286036 + 0.958219i \(0.592338\pi\)
\(434\) −6.16048 + 6.16048i −0.295712 + 0.295712i
\(435\) −10.8063 + 4.51062i −0.518124 + 0.216268i
\(436\) −2.79109 10.4165i −0.133669 0.498859i
\(437\) 2.48363 + 2.48363i 0.118808 + 0.118808i
\(438\) −15.1931 6.24481i −0.725955 0.298389i
\(439\) −14.8040 + 8.54709i −0.706556 + 0.407930i −0.809784 0.586728i \(-0.800416\pi\)
0.103229 + 0.994658i \(0.467083\pi\)
\(440\) −0.174045 + 0.649546i −0.00829728 + 0.0309659i
\(441\) −13.5594 49.5246i −0.645684 2.35831i
\(442\) 22.6493 + 16.7994i 1.07732 + 0.799066i
\(443\) 34.3968i 1.63424i 0.576467 + 0.817120i \(0.304431\pi\)
−0.576467 + 0.817120i \(0.695569\pi\)
\(444\) 0.511362 3.96758i 0.0242682 0.188293i
\(445\) 5.74593 + 9.95225i 0.272383 + 0.471782i
\(446\) 5.86963 10.1665i 0.277935 0.481397i
\(447\) −14.4230 + 18.9027i −0.682185 + 0.894068i
\(448\) −4.74345 + 1.27100i −0.224107 + 0.0600492i
\(449\) −29.4387 + 7.88808i −1.38930 + 0.372261i −0.874490 0.485044i \(-0.838804\pi\)
−0.514809 + 0.857305i \(0.672137\pi\)
\(450\) 2.60620 + 1.48584i 0.122857 + 0.0700431i
\(451\) −2.68377 + 4.64843i −0.126374 + 0.218886i
\(452\) −3.20554 5.55216i −0.150776 0.261152i
\(453\) 6.32216 + 0.814834i 0.297041 + 0.0382842i
\(454\) 19.0134i 0.892344i
\(455\) 6.50799 16.4667i 0.305099 0.771969i
\(456\) −0.242474 1.80383i −0.0113549 0.0844721i
\(457\) 2.92897 10.9310i 0.137011 0.511333i −0.862970 0.505255i \(-0.831399\pi\)
0.999982 0.00607823i \(-0.00193477\pi\)
\(458\) 13.5829 7.84212i 0.634690 0.366438i
\(459\) 4.97547 40.3340i 0.232235 1.88263i
\(460\) −2.36354 2.36354i −0.110201 0.110201i
\(461\) −4.98234 18.5944i −0.232051 0.866025i −0.979456 0.201657i \(-0.935367\pi\)
0.747405 0.664368i \(-0.231299\pi\)
\(462\) −2.20322 5.27838i −0.102503 0.245573i
\(463\) −4.95617 + 4.95617i −0.230333 + 0.230333i −0.812832 0.582499i \(-0.802075\pi\)
0.582499 + 0.812832i \(0.302075\pi\)
\(464\) −5.85497 3.38037i −0.271810 0.156930i
\(465\) 1.87725 + 2.43275i 0.0870554 + 0.112816i
\(466\) 2.57142 + 0.689011i 0.119119 + 0.0319178i
\(467\) −6.76016 −0.312823 −0.156411 0.987692i \(-0.549993\pi\)
−0.156411 + 0.987692i \(0.549993\pi\)
\(468\) −8.72267 6.39648i −0.403206 0.295678i
\(469\) 27.9619 1.29116
\(470\) −6.52054 1.74717i −0.300770 0.0805911i
\(471\) 3.28142 + 4.25242i 0.151200 + 0.195941i
\(472\) 0.770664 + 0.444943i 0.0354727 + 0.0204802i
\(473\) −1.44880 + 1.44880i −0.0666157 + 0.0666157i
\(474\) 4.21801 + 10.1053i 0.193740 + 0.464153i
\(475\) −0.271969 1.01500i −0.0124788 0.0465716i
\(476\) 27.1584 + 27.1584i 1.24480 + 1.24480i
\(477\) 38.6120 + 10.1212i 1.76792 + 0.463416i
\(478\) −16.7101 + 9.64761i −0.764304 + 0.441271i
\(479\) 3.08895 11.5281i 0.141138 0.526734i −0.858759 0.512379i \(-0.828764\pi\)
0.999897 0.0143541i \(-0.00456920\pi\)
\(480\) 0.230750 + 1.71661i 0.0105322 + 0.0783522i
\(481\) −0.952090 + 8.27288i −0.0434116 + 0.377211i
\(482\) 8.65811i 0.394366i
\(483\) 28.1976 + 3.63425i 1.28303 + 0.165364i
\(484\) 5.27390 + 9.13466i 0.239723 + 0.415212i
\(485\) −5.47219 + 9.47811i −0.248479 + 0.430379i
\(486\) −1.82425 + 15.4813i −0.0827496 + 0.702248i
\(487\) −16.9145 + 4.53223i −0.766470 + 0.205375i −0.620812 0.783960i \(-0.713197\pi\)
−0.145659 + 0.989335i \(0.546530\pi\)
\(488\) 6.11608 1.63880i 0.276862 0.0741849i
\(489\) 2.71422 3.55725i 0.122741 0.160864i
\(490\) 8.55787 14.8227i 0.386605 0.669620i
\(491\) −2.74555 4.75543i −0.123905 0.214609i 0.797399 0.603452i \(-0.206208\pi\)
−0.921304 + 0.388842i \(0.872875\pi\)
\(492\) −1.76724 + 13.7117i −0.0796733 + 0.618173i
\(493\) 52.8766i 2.38144i
\(494\) 0.555758 + 3.74776i 0.0250047 + 0.168620i
\(495\) −1.94577 + 0.532733i −0.0874557 + 0.0239446i
\(496\) −0.459172 + 1.71365i −0.0206174 + 0.0769452i
\(497\) −58.6012 + 33.8334i −2.62862 + 1.51764i
\(498\) −7.79855 3.20543i −0.349461 0.143639i
\(499\) 15.0333 + 15.0333i 0.672982 + 0.672982i 0.958402 0.285420i \(-0.0921332\pi\)
−0.285420 + 0.958402i \(0.592133\pi\)
\(500\) 0.258819 + 0.965926i 0.0115747 + 0.0431975i
\(501\) 25.2518 10.5402i 1.12817 0.470903i
\(502\) −14.5373 + 14.5373i −0.648830 + 0.648830i
\(503\) −28.2216 16.2938i −1.25834 0.726503i −0.285589 0.958352i \(-0.592189\pi\)
−0.972752 + 0.231849i \(0.925522\pi\)
\(504\) −10.4739 10.3605i −0.466543 0.461493i
\(505\) 4.89786 + 1.31238i 0.217952 + 0.0584000i
\(506\) 2.24773 0.0999237
\(507\) 18.3371 + 13.0672i 0.814377 + 0.580336i
\(508\) −1.46468 −0.0649845
\(509\) −24.7720 6.63764i −1.09800 0.294208i −0.336050 0.941844i \(-0.609091\pi\)
−0.761950 + 0.647636i \(0.775758\pi\)
\(510\) 10.7248 8.27585i 0.474900 0.366461i
\(511\) 40.3333 + 23.2865i 1.78424 + 1.03013i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 4.30456 3.35919i 0.190051 0.148312i
\(514\) 3.57676 + 13.3486i 0.157764 + 0.588783i
\(515\) −6.03046 6.03046i −0.265734 0.265734i
\(516\) −2.00628 + 4.88112i −0.0883218 + 0.214879i
\(517\) 3.93130 2.26974i 0.172898 0.0998229i
\(518\) −2.93554 + 10.9556i −0.128980 + 0.481362i
\(519\) 16.1029 2.16458i 0.706837 0.0950143i
\(520\) −0.528886 3.56655i −0.0231932 0.156404i
\(521\) 24.6166i 1.07847i 0.842154 + 0.539236i \(0.181287\pi\)
−0.842154 + 0.539236i \(0.818713\pi\)
\(522\) −0.110377 20.2819i −0.00483108 0.887715i
\(523\) −10.6335 18.4177i −0.464969 0.805350i 0.534231 0.845338i \(-0.320601\pi\)
−0.999200 + 0.0399886i \(0.987268\pi\)
\(524\) 4.93993 8.55621i 0.215802 0.373780i
\(525\) −6.76210 5.15957i −0.295122 0.225182i
\(526\) 16.8530 4.51575i 0.734825 0.196896i
\(527\) 13.4027 3.59124i 0.583830 0.156437i
\(528\) −0.925971 0.706528i −0.0402977 0.0307477i
\(529\) 5.91368 10.2428i 0.257116 0.445339i
\(530\) 6.65274 + 11.5229i 0.288977 + 0.500522i
\(531\) 0.0145285 + 2.66962i 0.000630483 + 0.115852i
\(532\) 5.16029i 0.223727i
\(533\) 3.29037 28.5906i 0.142522 1.23840i
\(534\) −19.7271 + 2.65175i −0.853674 + 0.114752i
\(535\) −0.199516 + 0.744603i −0.00862581 + 0.0321920i
\(536\) 4.93113 2.84699i 0.212993 0.122971i
\(537\) −10.7788 + 26.2239i −0.465139 + 1.13165i
\(538\) 16.7188 + 16.7188i 0.720798 + 0.720798i
\(539\) 2.97891 + 11.1175i 0.128311 + 0.478863i
\(540\) −4.09643 + 3.19676i −0.176282 + 0.137567i
\(541\) −0.983681 + 0.983681i −0.0422917 + 0.0422917i −0.727936 0.685645i \(-0.759520\pi\)
0.685645 + 0.727936i \(0.259520\pi\)
\(542\) 12.9623 + 7.48381i 0.556780 + 0.321457i
\(543\) 10.9936 8.48331i 0.471781 0.364054i
\(544\) 7.55463 + 2.02426i 0.323902 + 0.0867893i
\(545\) 10.7839 0.461933
\(546\) 22.0943 + 21.2686i 0.945550 + 0.910214i
\(547\) 5.08638 0.217478 0.108739 0.994070i \(-0.465319\pi\)
0.108739 + 0.994070i \(0.465319\pi\)
\(548\) 6.18353 + 1.65687i 0.264147 + 0.0707781i
\(549\) 13.5047 + 13.3585i 0.576368 + 0.570129i
\(550\) −0.582367 0.336230i −0.0248322 0.0143369i
\(551\) −5.02346 + 5.02346i −0.214007 + 0.214007i
\(552\) 5.34272 2.23008i 0.227401 0.0949185i
\(553\) −8.03549 29.9888i −0.341704 1.27526i
\(554\) 4.93134 + 4.93134i 0.209512 + 0.209512i
\(555\) 3.70003 + 1.52082i 0.157058 + 0.0645553i
\(556\) 19.3546 11.1744i 0.820816 0.473898i
\(557\) 0.663312 2.47552i 0.0281054 0.104891i −0.950448 0.310883i \(-0.899375\pi\)
0.978554 + 0.205992i \(0.0660420\pi\)
\(558\) −5.13338 + 1.40547i −0.217313 + 0.0594984i
\(559\) 4.03787 10.2167i 0.170784 0.432121i
\(560\) 4.91078i 0.207518i
\(561\) −1.16445 + 9.03480i −0.0491632 + 0.381449i
\(562\) 11.3511 + 19.6607i 0.478819 + 0.829338i
\(563\) 6.40816 11.0993i 0.270072 0.467778i −0.698808 0.715309i \(-0.746286\pi\)
0.968880 + 0.247531i \(0.0796193\pi\)
\(564\) 7.09256 9.29546i 0.298651 0.391410i
\(565\) 6.19263 1.65931i 0.260526 0.0698077i
\(566\) 16.4343 4.40357i 0.690787 0.185096i
\(567\) 10.9737 42.8130i 0.460852 1.79798i
\(568\) −6.88962 + 11.9332i −0.289082 + 0.500705i
\(569\) 9.88096 + 17.1143i 0.414231 + 0.717470i 0.995347 0.0963509i \(-0.0307171\pi\)
−0.581116 + 0.813821i \(0.697384\pi\)
\(570\) 1.80512 + 0.232654i 0.0756083 + 0.00974480i
\(571\) 29.9675i 1.25410i 0.778979 + 0.627050i \(0.215738\pi\)
−0.778979 + 0.627050i \(0.784262\pi\)
\(572\) 1.94738 + 1.44441i 0.0814241 + 0.0603939i
\(573\) 1.47482 + 10.9716i 0.0616113 + 0.458344i
\(574\) 10.1451 37.8620i 0.423448 1.58033i
\(575\) 2.89473 1.67128i 0.120719 0.0696970i
\(576\) −2.90196 0.760676i −0.120915 0.0316948i
\(577\) 21.1608 + 21.1608i 0.880938 + 0.880938i 0.993630 0.112692i \(-0.0359474\pi\)
−0.112692 + 0.993630i \(0.535947\pi\)
\(578\) −11.4320 42.6650i −0.475510 1.77463i
\(579\) −3.09702 7.41971i −0.128708 0.308352i
\(580\) 4.78056 4.78056i 0.198502 0.198502i
\(581\) 20.7029 + 11.9528i 0.858901 + 0.495887i
\(582\) −11.5807 15.0075i −0.480035 0.622082i
\(583\) −8.64252 2.31576i −0.357937 0.0959088i
\(584\) 9.48381 0.392443
\(585\) 8.43612 6.76992i 0.348791 0.279902i
\(586\) −21.2905 −0.879503
\(587\) −21.8846 5.86397i −0.903275 0.242032i −0.222853 0.974852i \(-0.571537\pi\)
−0.680422 + 0.732820i \(0.738204\pi\)
\(588\) 18.1109 + 23.4700i 0.746880 + 0.967888i
\(589\) 1.61448 + 0.932122i 0.0665236 + 0.0384074i
\(590\) −0.629245 + 0.629245i −0.0259056 + 0.0259056i
\(591\) 0.380149 + 0.910744i 0.0156372 + 0.0374630i
\(592\) 0.597776 + 2.23093i 0.0245684 + 0.0916907i
\(593\) −8.32570 8.32570i −0.341895 0.341895i 0.515184 0.857080i \(-0.327724\pi\)
−0.857080 + 0.515184i \(0.827724\pi\)
\(594\) 0.427790 3.46792i 0.0175524 0.142290i
\(595\) −33.2621 + 19.2039i −1.36362 + 0.787284i
\(596\) 3.55295 13.2598i 0.145534 0.543142i
\(597\) −1.76404 13.1232i −0.0721974 0.537097i
\(598\) −11.0576 + 4.79307i −0.452179 + 0.196003i
\(599\) 36.7193i 1.50031i −0.661262 0.750155i \(-0.729979\pi\)
0.661262 0.750155i \(-0.270021\pi\)
\(600\) −1.71784 0.221404i −0.0701306 0.00903880i
\(601\) 15.5013 + 26.8491i 0.632312 + 1.09520i 0.987078 + 0.160242i \(0.0512274\pi\)
−0.354765 + 0.934955i \(0.615439\pi\)
\(602\) 7.48129 12.9580i 0.304915 0.528128i
\(603\) 14.8397 + 8.46034i 0.604318 + 0.344532i
\(604\) −3.55489 + 0.952530i −0.144646 + 0.0387579i
\(605\) −10.1884 + 2.72997i −0.414217 + 0.110989i
\(606\) −5.32753 + 6.98223i −0.216416 + 0.283634i
\(607\) −14.6011 + 25.2898i −0.592640 + 1.02648i 0.401235 + 0.915975i \(0.368581\pi\)
−0.993875 + 0.110508i \(0.964752\pi\)
\(608\) 0.525404 + 0.910027i 0.0213080 + 0.0369065i
\(609\) −7.35074 + 57.0332i −0.297867 + 2.31110i
\(610\) 6.33183i 0.256368i
\(611\) −14.4999 + 19.5490i −0.586602 + 0.790868i
\(612\) 6.19602 + 22.6305i 0.250459 + 0.914784i
\(613\) 1.30307 4.86313i 0.0526305 0.196420i −0.934605 0.355688i \(-0.884247\pi\)
0.987235 + 0.159268i \(0.0509134\pi\)
\(614\) 26.1711 15.1099i 1.05618 0.609786i
\(615\) −12.7871 5.25588i −0.515626 0.211938i
\(616\) 2.33508 + 2.33508i 0.0940830 + 0.0940830i
\(617\) 6.45361 + 24.0852i 0.259812 + 0.969633i 0.965350 + 0.260960i \(0.0840392\pi\)
−0.705537 + 0.708673i \(0.749294\pi\)
\(618\) 13.6317 5.68994i 0.548348 0.228883i
\(619\) −21.4082 + 21.4082i −0.860470 + 0.860470i −0.991393 0.130922i \(-0.958206\pi\)
0.130922 + 0.991393i \(0.458206\pi\)
\(620\) −1.53642 0.887052i −0.0617040 0.0356248i
\(621\) 13.8651 + 10.4604i 0.556388 + 0.419761i
\(622\) −3.71946 0.996626i −0.149137 0.0399611i
\(623\) 56.4340 2.26098
\(624\) 6.06188 + 1.50119i 0.242670 + 0.0600957i
\(625\) −1.00000 −0.0400000
\(626\) −19.8992 5.33199i −0.795334 0.213109i
\(627\) −0.968964 + 0.747710i −0.0386967 + 0.0298607i
\(628\) −2.68565 1.55056i −0.107169 0.0618741i
\(629\) 12.7731 12.7731i 0.509297 0.509297i
\(630\) 12.7183 7.43549i 0.506709 0.296237i
\(631\) −3.30587 12.3377i −0.131605 0.491155i 0.868384 0.495892i \(-0.165159\pi\)
−0.999989 + 0.00473707i \(0.998492\pi\)
\(632\) −4.47044 4.47044i −0.177825 0.177825i
\(633\) 5.99550 14.5865i 0.238300 0.579763i
\(634\) −14.6180 + 8.43970i −0.580555 + 0.335183i
\(635\) 0.379086 1.41477i 0.0150436 0.0561434i
\(636\) −22.8403 + 3.07024i −0.905678 + 0.121743i
\(637\) −38.3616 48.3397i −1.51994 1.91529i
\(638\) 4.54632i 0.179991i
\(639\) −41.3371 + 0.224963i −1.63527 + 0.00889940i
\(640\) −0.500000 0.866025i −0.0197642 0.0342327i
\(641\) −16.4852 + 28.5531i −0.651125 + 1.12778i 0.331725 + 0.943376i \(0.392369\pi\)
−0.982850 + 0.184405i \(0.940964\pi\)
\(642\) −1.06148 0.809924i −0.0418933 0.0319651i
\(643\) 18.9766 5.08477i 0.748364 0.200524i 0.135572 0.990768i \(-0.456713\pi\)
0.612792 + 0.790244i \(0.290046\pi\)
\(644\) −15.8552 + 4.24839i −0.624783 + 0.167410i
\(645\) −4.19554 3.20125i −0.165199 0.126049i
\(646\) 4.10925 7.11744i 0.161676 0.280032i
\(647\) 13.8371 + 23.9666i 0.543993 + 0.942223i 0.998670 + 0.0515668i \(0.0164215\pi\)
−0.454677 + 0.890657i \(0.650245\pi\)
\(648\) −2.42385 8.66746i −0.0952179 0.340490i
\(649\) 0.598413i 0.0234897i
\(650\) 3.58191 + 0.412226i 0.140494 + 0.0161689i
\(651\) 14.9555 2.01035i 0.586153 0.0787916i
\(652\) −0.668619 + 2.49532i −0.0261851 + 0.0977243i
\(653\) 13.0969 7.56151i 0.512522 0.295905i −0.221348 0.975195i \(-0.571046\pi\)
0.733870 + 0.679290i \(0.237712\pi\)
\(654\) −7.10090 + 17.2759i −0.277667 + 0.675541i
\(655\) 6.98611 + 6.98611i 0.272970 + 0.272970i
\(656\) −2.06588 7.70998i −0.0806591 0.301024i
\(657\) 14.3596 + 24.5619i 0.560221 + 0.958250i
\(658\) −23.4409 + 23.4409i −0.913823 + 0.913823i
\(659\) 23.6214 + 13.6378i 0.920158 + 0.531253i 0.883685 0.468081i \(-0.155055\pi\)
0.0364723 + 0.999335i \(0.488388\pi\)
\(660\) 0.922113 0.711557i 0.0358932 0.0276973i
\(661\) −14.3942 3.85690i −0.559868 0.150016i −0.0322223 0.999481i \(-0.510258\pi\)
−0.527646 + 0.849465i \(0.676925\pi\)
\(662\) −9.85010 −0.382835
\(663\) −13.5374 46.9294i −0.525748 1.82259i
\(664\) 4.86800 0.188915
\(665\) −4.98446 1.33558i −0.193289 0.0517916i
\(666\) −4.87273 + 4.92605i −0.188814 + 0.190881i
\(667\) −19.5705 11.2991i −0.757774 0.437501i
\(668\) −11.1710 + 11.1710i −0.432220 + 0.432220i
\(669\) −18.7640 + 7.83218i −0.725458 + 0.302810i
\(670\) 1.47371 + 5.49997i 0.0569344 + 0.212482i
\(671\) −3.01079 3.01079i −0.116230 0.116230i
\(672\) 7.86709 + 3.23360i 0.303479 + 0.124739i
\(673\) 18.7397 10.8194i 0.722361 0.417055i −0.0932599 0.995642i \(-0.529729\pi\)
0.815621 + 0.578586i \(0.196395\pi\)
\(674\) −3.46134 + 12.9179i −0.133326 + 0.497579i
\(675\) −2.02760 4.78423i −0.0780425 0.184145i
\(676\) −12.6601 2.95312i −0.486928 0.113581i
\(677\) 1.72927i 0.0664612i 0.999448 + 0.0332306i \(0.0105796\pi\)
−0.999448 + 0.0332306i \(0.989420\pi\)
\(678\) −1.41944 + 11.0132i −0.0545134 + 0.422961i
\(679\) 26.8727 + 46.5449i 1.03128 + 1.78623i
\(680\) −3.91056 + 6.77329i −0.149963 + 0.259744i
\(681\) 19.9767 26.1813i 0.765508 1.00327i
\(682\) 1.15236 0.308774i 0.0441262 0.0118236i
\(683\) −34.3225 + 9.19668i −1.31331 + 0.351901i −0.846469 0.532438i \(-0.821276\pi\)
−0.466844 + 0.884340i \(0.654609\pi\)
\(684\) −1.56133 + 2.73862i −0.0596990 + 0.104714i
\(685\) −3.20083 + 5.54400i −0.122298 + 0.211826i
\(686\) −24.8381 43.0208i −0.948323 1.64254i
\(687\) −26.9430 3.47256i −1.02794 0.132486i
\(688\) 3.04689i 0.116161i
\(689\) 47.4547 7.03708i 1.80788 0.268091i
\(690\) 0.771293 + 5.73786i 0.0293626 + 0.218437i
\(691\) 5.87881 21.9400i 0.223641 0.834638i −0.759304 0.650736i \(-0.774460\pi\)
0.982945 0.183902i \(-0.0588729\pi\)
\(692\) −8.12385 + 4.69031i −0.308822 + 0.178299i
\(693\) −2.51198 + 9.58314i −0.0954222 + 0.364033i
\(694\) 6.09359 + 6.09359i 0.231309 + 0.231309i
\(695\) 5.78427 + 21.5872i 0.219410 + 0.818849i
\(696\) 4.51062 + 10.8063i 0.170975 + 0.409613i
\(697\) −44.1432 + 44.1432i −1.67204 + 1.67204i
\(698\) −17.2512 9.96000i −0.652969 0.376992i
\(699\) −2.81691 3.65046i −0.106545 0.138073i
\(700\) 4.74345 + 1.27100i 0.179285 + 0.0480394i
\(701\) −17.1199 −0.646610 −0.323305 0.946295i \(-0.604794\pi\)
−0.323305 + 0.946295i \(0.604794\pi\)
\(702\) 5.29050 + 17.9725i 0.199677 + 0.678328i
\(703\) 2.42698 0.0915352
\(704\) 0.649546 + 0.174045i 0.0244807 + 0.00655958i
\(705\) 7.14304 + 9.25673i 0.269022 + 0.348629i
\(706\) −10.4651 6.04201i −0.393858 0.227394i
\(707\) 17.6075 17.6075i 0.662198 0.662198i
\(708\) −0.593714 1.42239i −0.0223131 0.0534568i
\(709\) 9.81956 + 36.6471i 0.368781 + 1.37631i 0.862222 + 0.506531i \(0.169072\pi\)
−0.493441 + 0.869779i \(0.664261\pi\)
\(710\) −9.74340 9.74340i −0.365663 0.365663i
\(711\) 4.80912 18.3467i 0.180356 0.688054i
\(712\) 9.95225 5.74593i 0.372976 0.215338i
\(713\) −1.53480 + 5.72797i −0.0574789 + 0.214514i
\(714\) −8.86260 65.9313i −0.331674 2.46742i
\(715\) −1.89921 + 1.50719i −0.0710266 + 0.0563655i
\(716\) 16.3694i 0.611755i
\(717\) 33.1461 + 4.27205i 1.23786 + 0.159542i
\(718\) −14.0334 24.3065i −0.523721 0.907111i
\(719\) −14.5318 + 25.1698i −0.541944 + 0.938675i 0.456848 + 0.889545i \(0.348978\pi\)
−0.998792 + 0.0491300i \(0.984355\pi\)
\(720\) 1.48584 2.60620i 0.0553739 0.0971274i
\(721\) −40.4538 + 10.8396i −1.50658 + 0.403687i
\(722\) −17.2860 + 4.63177i −0.643319 + 0.172377i
\(723\) −9.09675 + 11.9221i −0.338312 + 0.443389i
\(724\) −4.00859 + 6.94309i −0.148978 + 0.258038i
\(725\) 3.38037 + 5.85497i 0.125544 + 0.217448i
\(726\) 2.33533 18.1194i 0.0866722 0.672476i
\(727\) 33.7140i 1.25038i −0.780472 0.625191i \(-0.785021\pi\)
0.780472 0.625191i \(-0.214979\pi\)
\(728\) −16.4667 6.50799i −0.610295 0.241202i
\(729\) 18.7777 19.4010i 0.695469 0.718556i
\(730\) −2.45459 + 9.16066i −0.0908485 + 0.339051i
\(731\) −20.6375 + 11.9150i −0.763304 + 0.440694i
\(732\) −10.1436 4.16932i −0.374919 0.154103i
\(733\) 27.6408 + 27.6408i 1.02093 + 1.02093i 0.999776 + 0.0211584i \(0.00673542\pi\)
0.0211584 + 0.999776i \(0.493265\pi\)
\(734\) −8.13024 30.3425i −0.300093 1.11996i
\(735\) −27.3578 + 11.4193i −1.00911 + 0.421206i
\(736\) −2.36354 + 2.36354i −0.0871212 + 0.0871212i
\(737\) −3.31599 1.91449i −0.122146 0.0705210i
\(738\) 16.8399 17.0242i 0.619885 0.626669i
\(739\) −6.58406 1.76419i −0.242199 0.0648969i 0.135678 0.990753i \(-0.456679\pi\)
−0.377876 + 0.925856i \(0.623346\pi\)
\(740\) −2.30963 −0.0849036
\(741\) 3.17236 5.74455i 0.116540 0.211031i
\(742\) 65.3403 2.39872
\(743\) 38.7916 + 10.3942i 1.42313 + 0.381326i 0.886592 0.462552i \(-0.153066\pi\)
0.536535 + 0.843878i \(0.319733\pi\)
\(744\) 2.43275 1.87725i 0.0891888 0.0688234i
\(745\) 11.8884 + 6.86377i 0.435557 + 0.251469i
\(746\) −23.5331 + 23.5331i −0.861608 + 0.861608i
\(747\) 7.37071 + 12.6075i 0.269680 + 0.461284i
\(748\) −1.36123 5.08018i −0.0497715 0.185750i
\(749\) 2.67680 + 2.67680i 0.0978082 + 0.0978082i
\(750\) 0.658470 1.60200i 0.0240439 0.0584969i
\(751\) −1.44291 + 0.833065i −0.0526526 + 0.0303990i −0.526095 0.850426i \(-0.676344\pi\)
0.473443 + 0.880825i \(0.343011\pi\)
\(752\) −1.74717 + 6.52054i −0.0637128 + 0.237780i
\(753\) 35.2915 4.74394i 1.28609 0.172879i
\(754\) −9.69460 22.3654i −0.353056 0.814502i
\(755\) 3.68029i 0.133940i
\(756\) 3.53706 + 25.2708i 0.128642 + 0.919091i
\(757\) −16.0809 27.8529i −0.584469 1.01233i −0.994941 0.100457i \(-0.967969\pi\)
0.410472 0.911873i \(-0.365364\pi\)
\(758\) −9.37957 + 16.2459i −0.340681 + 0.590077i
\(759\) −3.09511 2.36161i −0.112345 0.0857208i
\(760\) −1.01500 + 0.271969i −0.0368180 + 0.00986537i
\(761\) 18.5266 4.96420i 0.671590 0.179952i 0.0931190 0.995655i \(-0.470316\pi\)
0.578471 + 0.815703i \(0.303650\pi\)
\(762\) 2.01685 + 1.53888i 0.0730627 + 0.0557478i
\(763\) 26.4787 45.8625i 0.958595 1.66034i
\(764\) −3.19570 5.53512i −0.115617 0.200254i
\(765\) −23.4630 + 0.127689i −0.848308 + 0.00461662i
\(766\) 4.15965i 0.150294i
\(767\) 1.27606 + 2.94387i 0.0460758 + 0.106297i
\(768\) 1.71661 0.230750i 0.0619429 0.00832647i
\(769\) 7.90436 29.4995i 0.285039 1.06378i −0.663773 0.747934i \(-0.731046\pi\)
0.948811 0.315844i \(-0.102288\pi\)
\(770\) −2.85987 + 1.65115i −0.103063 + 0.0595033i
\(771\) 9.09975 22.1389i 0.327719 0.797314i
\(772\) 3.28237 + 3.28237i 0.118135 + 0.118135i
\(773\)