Properties

Label 390.2.bl.a.263.3
Level $390$
Weight $2$
Character 390.263
Analytic conductor $3.114$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 263.3
Character \(\chi\) \(=\) 390.263
Dual form 390.2.bl.a.347.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.39645 - 1.02467i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.994998 + 2.00249i) q^{5} +(1.35118 - 1.08366i) q^{6} +(-0.839078 - 3.13148i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.900122 + 2.86178i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.39645 - 1.02467i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.994998 + 2.00249i) q^{5} +(1.35118 - 1.08366i) q^{6} +(-0.839078 - 3.13148i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.900122 + 2.86178i) q^{9} +(-1.67674 - 1.47938i) q^{10} +(2.20287 - 1.27183i) q^{11} +(0.697025 + 1.58561i) q^{12} +(0.482914 + 3.57307i) q^{13} +3.24195 q^{14} +(3.44135 - 1.77683i) q^{15} +(0.500000 + 0.866025i) q^{16} +(5.70384 - 1.52834i) q^{17} +(-2.99724 + 0.128768i) q^{18} +(4.11591 + 2.37632i) q^{19} +(1.86294 - 1.23671i) q^{20} +(-2.03699 + 5.23272i) q^{21} +(0.658346 + 2.45698i) q^{22} +(-2.54524 - 0.681994i) q^{23} +(-1.71198 + 0.262889i) q^{24} +(-3.01996 - 3.98495i) q^{25} +(-3.57630 - 0.458318i) q^{26} +(1.67539 - 4.91864i) q^{27} +(-0.839078 + 3.13148i) q^{28} +(2.90115 + 5.02494i) q^{29} +(0.825604 + 3.78396i) q^{30} +9.58133 q^{31} +(-0.965926 + 0.258819i) q^{32} +(-4.37939 - 0.481166i) q^{33} +5.90505i q^{34} +(7.10565 + 1.43557i) q^{35} +(0.651361 - 2.92843i) q^{36} +(8.08601 + 2.16664i) q^{37} +(-3.36063 + 3.36063i) q^{38} +(2.98683 - 5.48442i) q^{39} +(0.712407 + 2.11955i) q^{40} +(-3.68675 + 2.12855i) q^{41} +(-4.52720 - 3.32191i) q^{42} +(-4.65306 + 1.24678i) q^{43} -2.54366 q^{44} +(-6.62631 - 1.04498i) q^{45} +(1.31751 - 2.28200i) q^{46} +(-2.50195 - 2.50195i) q^{47} +(0.189163 - 1.72169i) q^{48} +(-3.03994 + 1.75511i) q^{49} +(4.63079 - 1.88567i) q^{50} +(-9.53114 - 3.71028i) q^{51} +(1.36832 - 3.33582i) q^{52} +(7.04203 - 7.04203i) q^{53} +(4.31742 + 2.89134i) q^{54} +(0.354975 + 5.67670i) q^{55} +(-2.80761 - 1.62097i) q^{56} +(-3.31271 - 7.53583i) q^{57} +(-5.60459 + 1.50174i) q^{58} +(0.0614633 - 0.106457i) q^{59} +(-3.86871 - 0.181890i) q^{60} +(-1.07943 + 1.86963i) q^{61} +(-2.47983 + 9.25485i) q^{62} +(8.20633 - 5.21997i) q^{63} -1.00000i q^{64} +(-7.63554 - 2.58816i) q^{65} +(1.59824 - 4.10563i) q^{66} +(-4.02597 - 1.07875i) q^{67} +(-5.70384 - 1.52834i) q^{68} +(2.85547 + 3.56038i) q^{69} +(-3.22573 + 6.49198i) q^{70} +(-1.88641 - 1.08912i) q^{71} +(2.66007 + 1.38710i) q^{72} +(-8.15170 - 8.15170i) q^{73} +(-4.18563 + 7.24972i) q^{74} +(0.133965 + 8.65922i) q^{75} +(-2.37632 - 4.11591i) q^{76} +(-5.83108 - 5.83108i) q^{77} +(4.52449 + 4.30453i) q^{78} +13.8606i q^{79} +(-2.23171 + 0.139553i) q^{80} +(-7.37956 + 5.15190i) q^{81} +(-1.10182 - 4.11204i) q^{82} +(6.91640 - 6.91640i) q^{83} +(4.38045 - 3.51317i) q^{84} +(-2.61482 + 12.9426i) q^{85} -4.81720i q^{86} +(1.09758 - 9.98976i) q^{87} +(0.658346 - 2.45698i) q^{88} +(-3.53326 - 6.11979i) q^{89} +(2.72439 - 6.13007i) q^{90} +(10.7838 - 4.51031i) q^{91} +(1.86324 + 1.86324i) q^{92} +(-13.3798 - 9.81765i) q^{93} +(3.06424 - 1.76914i) q^{94} +(-8.85389 + 5.87765i) q^{95} +(1.61407 + 0.628324i) q^{96} +(-1.31674 - 4.91414i) q^{97} +(-0.908512 - 3.39061i) q^{98} +(5.62254 + 5.15933i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q+O(q^{10}) \) Copy content Toggle raw display \( 112 q + 24 q^{13} + 56 q^{16} - 16 q^{18} - 16 q^{21} + 24 q^{27} + 12 q^{30} - 80 q^{31} + 52 q^{33} - 8 q^{36} - 8 q^{37} - 16 q^{40} + 12 q^{42} - 8 q^{43} + 20 q^{45} - 8 q^{46} - 80 q^{51} + 24 q^{52} + 8 q^{55} - 96 q^{57} + 8 q^{58} - 32 q^{60} - 16 q^{61} - 16 q^{63} - 32 q^{66} + 40 q^{67} - 32 q^{70} - 8 q^{72} - 80 q^{73} - 64 q^{75} + 16 q^{76} - 36 q^{78} + 8 q^{81} - 16 q^{82} + 96 q^{85} - 8 q^{87} + 24 q^{90} - 32 q^{91} - 68 q^{93} - 40 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.39645 1.02467i −0.806238 0.591591i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.994998 + 2.00249i −0.444977 + 0.895542i
\(6\) 1.35118 1.08366i 0.551616 0.442402i
\(7\) −0.839078 3.13148i −0.317142 1.18359i −0.921979 0.387239i \(-0.873429\pi\)
0.604838 0.796349i \(-0.293238\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.900122 + 2.86178i 0.300041 + 0.953926i
\(10\) −1.67674 1.47938i −0.530230 0.467820i
\(11\) 2.20287 1.27183i 0.664190 0.383470i −0.129681 0.991556i \(-0.541395\pi\)
0.793872 + 0.608085i \(0.208062\pi\)
\(12\) 0.697025 + 1.58561i 0.201214 + 0.457726i
\(13\) 0.482914 + 3.57307i 0.133936 + 0.990990i
\(14\) 3.24195 0.866447
\(15\) 3.44135 1.77683i 0.888552 0.458776i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 5.70384 1.52834i 1.38338 0.370677i 0.511035 0.859560i \(-0.329262\pi\)
0.872349 + 0.488883i \(0.162596\pi\)
\(18\) −2.99724 + 0.128768i −0.706455 + 0.0303510i
\(19\) 4.11591 + 2.37632i 0.944254 + 0.545166i 0.891291 0.453431i \(-0.149800\pi\)
0.0529630 + 0.998596i \(0.483133\pi\)
\(20\) 1.86294 1.23671i 0.416566 0.276537i
\(21\) −2.03699 + 5.23272i −0.444508 + 1.14187i
\(22\) 0.658346 + 2.45698i 0.140360 + 0.523830i
\(23\) −2.54524 0.681994i −0.530719 0.142206i −0.0164986 0.999864i \(-0.505252\pi\)
−0.514220 + 0.857658i \(0.671919\pi\)
\(24\) −1.71198 + 0.262889i −0.349457 + 0.0536619i
\(25\) −3.01996 3.98495i −0.603992 0.796991i
\(26\) −3.57630 0.458318i −0.701371 0.0898836i
\(27\) 1.67539 4.91864i 0.322430 0.946593i
\(28\) −0.839078 + 3.13148i −0.158571 + 0.591794i
\(29\) 2.90115 + 5.02494i 0.538730 + 0.933107i 0.998973 + 0.0453143i \(0.0144289\pi\)
−0.460243 + 0.887793i \(0.652238\pi\)
\(30\) 0.825604 + 3.78396i 0.150734 + 0.690854i
\(31\) 9.58133 1.72086 0.860428 0.509571i \(-0.170196\pi\)
0.860428 + 0.509571i \(0.170196\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −4.37939 0.481166i −0.762353 0.0837602i
\(34\) 5.90505i 1.01271i
\(35\) 7.10565 + 1.43557i 1.20107 + 0.242655i
\(36\) 0.651361 2.92843i 0.108560 0.488072i
\(37\) 8.08601 + 2.16664i 1.32933 + 0.356193i 0.852466 0.522783i \(-0.175106\pi\)
0.476866 + 0.878976i \(0.341773\pi\)
\(38\) −3.36063 + 3.36063i −0.545166 + 0.545166i
\(39\) 2.98683 5.48442i 0.478276 0.878210i
\(40\) 0.712407 + 2.11955i 0.112641 + 0.335130i
\(41\) −3.68675 + 2.12855i −0.575774 + 0.332423i −0.759452 0.650563i \(-0.774533\pi\)
0.183678 + 0.982986i \(0.441200\pi\)
\(42\) −4.52720 3.32191i −0.698563 0.512582i
\(43\) −4.65306 + 1.24678i −0.709585 + 0.190133i −0.595520 0.803340i \(-0.703054\pi\)
−0.114065 + 0.993473i \(0.536387\pi\)
\(44\) −2.54366 −0.383470
\(45\) −6.62631 1.04498i −0.987792 0.155776i
\(46\) 1.31751 2.28200i 0.194257 0.336462i
\(47\) −2.50195 2.50195i −0.364946 0.364946i 0.500684 0.865630i \(-0.333082\pi\)
−0.865630 + 0.500684i \(0.833082\pi\)
\(48\) 0.189163 1.72169i 0.0273034 0.248505i
\(49\) −3.03994 + 1.75511i −0.434277 + 0.250730i
\(50\) 4.63079 1.88567i 0.654893 0.266675i
\(51\) −9.53114 3.71028i −1.33463 0.519544i
\(52\) 1.36832 3.33582i 0.189751 0.462595i
\(53\) 7.04203 7.04203i 0.967297 0.967297i −0.0321854 0.999482i \(-0.510247\pi\)
0.999482 + 0.0321854i \(0.0102467\pi\)
\(54\) 4.31742 + 2.89134i 0.587527 + 0.393462i
\(55\) 0.354975 + 5.67670i 0.0478648 + 0.765446i
\(56\) −2.80761 1.62097i −0.375182 0.216612i
\(57\) −3.31271 7.53583i −0.438779 0.998146i
\(58\) −5.60459 + 1.50174i −0.735918 + 0.197189i
\(59\) 0.0614633 0.106457i 0.00800184 0.0138596i −0.861997 0.506914i \(-0.830786\pi\)
0.869999 + 0.493054i \(0.164120\pi\)
\(60\) −3.86871 0.181890i −0.499448 0.0234819i
\(61\) −1.07943 + 1.86963i −0.138207 + 0.239382i −0.926818 0.375511i \(-0.877467\pi\)
0.788611 + 0.614893i \(0.210801\pi\)
\(62\) −2.47983 + 9.25485i −0.314939 + 1.17537i
\(63\) 8.20633 5.21997i 1.03390 0.657654i
\(64\) 1.00000i 0.125000i
\(65\) −7.63554 2.58816i −0.947072 0.321022i
\(66\) 1.59824 4.10563i 0.196730 0.505368i
\(67\) −4.02597 1.07875i −0.491850 0.131791i 0.00436500 0.999990i \(-0.498611\pi\)
−0.496215 + 0.868200i \(0.665277\pi\)
\(68\) −5.70384 1.52834i −0.691692 0.185338i
\(69\) 2.85547 + 3.56038i 0.343758 + 0.428620i
\(70\) −3.22573 + 6.49198i −0.385549 + 0.775940i
\(71\) −1.88641 1.08912i −0.223876 0.129255i 0.383868 0.923388i \(-0.374592\pi\)
−0.607744 + 0.794133i \(0.707925\pi\)
\(72\) 2.66007 + 1.38710i 0.313492 + 0.163471i
\(73\) −8.15170 8.15170i −0.954084 0.954084i 0.0449068 0.998991i \(-0.485701\pi\)
−0.998991 + 0.0449068i \(0.985701\pi\)
\(74\) −4.18563 + 7.24972i −0.486569 + 0.842763i
\(75\) 0.133965 + 8.65922i 0.0154690 + 0.999880i
\(76\) −2.37632 4.11591i −0.272583 0.472127i
\(77\) −5.83108 5.83108i −0.664513 0.664513i
\(78\) 4.52449 + 4.30453i 0.512298 + 0.487392i
\(79\) 13.8606i 1.55944i 0.626129 + 0.779720i \(0.284639\pi\)
−0.626129 + 0.779720i \(0.715361\pi\)
\(80\) −2.23171 + 0.139553i −0.249513 + 0.0156025i
\(81\) −7.37956 + 5.15190i −0.819951 + 0.572434i
\(82\) −1.10182 4.11204i −0.121675 0.454099i
\(83\) 6.91640 6.91640i 0.759174 0.759174i −0.216998 0.976172i \(-0.569627\pi\)
0.976172 + 0.216998i \(0.0696265\pi\)
\(84\) 4.38045 3.51317i 0.477946 0.383318i
\(85\) −2.61482 + 12.9426i −0.283617 + 1.40382i
\(86\) 4.81720i 0.519453i
\(87\) 1.09758 9.98976i 0.117673 1.07101i
\(88\) 0.658346 2.45698i 0.0701800 0.261915i
\(89\) −3.53326 6.11979i −0.374525 0.648696i 0.615731 0.787957i \(-0.288861\pi\)
−0.990256 + 0.139260i \(0.955528\pi\)
\(90\) 2.72439 6.13007i 0.287175 0.646166i
\(91\) 10.7838 4.51031i 1.13045 0.472809i
\(92\) 1.86324 + 1.86324i 0.194257 + 0.194257i
\(93\) −13.3798 9.81765i −1.38742 1.01804i
\(94\) 3.06424 1.76914i 0.316053 0.182473i
\(95\) −8.85389 + 5.87765i −0.908390 + 0.603034i
\(96\) 1.61407 + 0.628324i 0.164735 + 0.0641280i
\(97\) −1.31674 4.91414i −0.133695 0.498955i 0.866305 0.499515i \(-0.166488\pi\)
−1.00000 0.000559756i \(0.999822\pi\)
\(98\) −0.908512 3.39061i −0.0917735 0.342503i
\(99\) 5.62254 + 5.15933i 0.565087 + 0.518532i
\(100\) 0.622884 + 4.96105i 0.0622884 + 0.496105i
\(101\) 10.9151 6.30184i 1.08609 0.627056i 0.153559 0.988139i \(-0.450926\pi\)
0.932534 + 0.361083i \(0.117593\pi\)
\(102\) 6.05070 8.24608i 0.599109 0.816484i
\(103\) 8.21639 + 8.21639i 0.809585 + 0.809585i 0.984571 0.174986i \(-0.0559880\pi\)
−0.174986 + 0.984571i \(0.555988\pi\)
\(104\) 2.86801 + 2.18507i 0.281232 + 0.214263i
\(105\) −8.45168 9.28561i −0.824799 0.906182i
\(106\) 4.97946 + 8.62468i 0.483648 + 0.837703i
\(107\) −2.09600 + 7.82239i −0.202628 + 0.756219i 0.787531 + 0.616275i \(0.211359\pi\)
−0.990159 + 0.139944i \(0.955308\pi\)
\(108\) −3.91026 + 3.42197i −0.376265 + 0.329280i
\(109\) 7.88508i 0.755254i −0.925958 0.377627i \(-0.876740\pi\)
0.925958 0.377627i \(-0.123260\pi\)
\(110\) −5.57514 1.12636i −0.531569 0.107394i
\(111\) −9.07160 11.3111i −0.861038 1.07360i
\(112\) 2.29240 2.29240i 0.216612 0.216612i
\(113\) 4.12241 + 15.3850i 0.387804 + 1.44730i 0.833700 + 0.552218i \(0.186218\pi\)
−0.445896 + 0.895085i \(0.647115\pi\)
\(114\) 8.13645 1.24942i 0.762048 0.117018i
\(115\) 3.89820 4.41824i 0.363509 0.412003i
\(116\) 5.80230i 0.538730i
\(117\) −9.79064 + 4.59819i −0.905145 + 0.425103i
\(118\) 0.0869222 + 0.0869222i 0.00800184 + 0.00800184i
\(119\) −9.57193 16.5791i −0.877457 1.51980i
\(120\) 1.17699 3.68981i 0.107444 0.336832i
\(121\) −2.26491 + 3.92294i −0.205901 + 0.356631i
\(122\) −1.52655 1.52655i −0.138207 0.138207i
\(123\) 7.32940 + 0.805286i 0.660870 + 0.0726102i
\(124\) −8.29767 4.79066i −0.745153 0.430214i
\(125\) 10.9847 2.08243i 0.982501 0.186258i
\(126\) 2.91815 + 9.27774i 0.259969 + 0.826526i
\(127\) −7.12580 1.90935i −0.632313 0.169428i −0.0715938 0.997434i \(-0.522809\pi\)
−0.560719 + 0.828006i \(0.689475\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 7.77529 + 3.02676i 0.684576 + 0.266492i
\(130\) 4.47619 6.70550i 0.392588 0.588111i
\(131\) 9.65905i 0.843915i −0.906616 0.421958i \(-0.861343\pi\)
0.906616 0.421958i \(-0.138657\pi\)
\(132\) 3.55208 + 2.60640i 0.309169 + 0.226858i
\(133\) 3.98784 14.8828i 0.345789 1.29050i
\(134\) 2.08399 3.60958i 0.180030 0.311820i
\(135\) 8.18254 + 8.24900i 0.704241 + 0.709961i
\(136\) 2.95252 5.11392i 0.253177 0.438515i
\(137\) 2.94164 0.788210i 0.251321 0.0673414i −0.130959 0.991388i \(-0.541806\pi\)
0.382280 + 0.924046i \(0.375139\pi\)
\(138\) −4.17812 + 1.83668i −0.355665 + 0.156348i
\(139\) 13.7958 + 7.96502i 1.17015 + 0.675584i 0.953714 0.300714i \(-0.0972248\pi\)
0.216432 + 0.976298i \(0.430558\pi\)
\(140\) −5.43589 4.79606i −0.459416 0.405341i
\(141\) 0.930175 + 6.05749i 0.0783348 + 0.510132i
\(142\) 1.54025 1.54025i 0.129255 0.129255i
\(143\) 5.60812 + 7.25681i 0.468975 + 0.606845i
\(144\) −2.02831 + 2.21042i −0.169026 + 0.184202i
\(145\) −12.9490 + 0.809729i −1.07536 + 0.0672443i
\(146\) 9.98375 5.76412i 0.826261 0.477042i
\(147\) 6.04351 + 0.664004i 0.498460 + 0.0547662i
\(148\) −5.91937 5.91937i −0.486569 0.486569i
\(149\) 1.58705 2.74886i 0.130016 0.225195i −0.793666 0.608353i \(-0.791830\pi\)
0.923683 + 0.383158i \(0.125164\pi\)
\(150\) −8.39883 2.11177i −0.685762 0.172425i
\(151\) 7.11861 0.579304 0.289652 0.957132i \(-0.406460\pi\)
0.289652 + 0.957132i \(0.406460\pi\)
\(152\) 4.59070 1.23007i 0.372355 0.0997722i
\(153\) 9.50792 + 14.9474i 0.768670 + 1.20843i
\(154\) 7.14159 4.12320i 0.575486 0.332257i
\(155\) −9.53340 + 19.1865i −0.765741 + 1.54110i
\(156\) −5.32888 + 3.25623i −0.426652 + 0.260707i
\(157\) −11.8373 + 11.8373i −0.944721 + 0.944721i −0.998550 0.0538288i \(-0.982857\pi\)
0.0538288 + 0.998550i \(0.482857\pi\)
\(158\) −13.3883 3.58739i −1.06512 0.285397i
\(159\) −17.0495 + 2.61809i −1.35212 + 0.207628i
\(160\) 0.442811 2.19178i 0.0350073 0.173276i
\(161\) 8.54261i 0.673252i
\(162\) −3.06638 8.46152i −0.240918 0.664800i
\(163\) −9.86992 + 2.64464i −0.773072 + 0.207144i −0.623728 0.781641i \(-0.714383\pi\)
−0.149344 + 0.988785i \(0.547716\pi\)
\(164\) 4.25710 0.332423
\(165\) 5.32101 8.29093i 0.414240 0.645448i
\(166\) 4.89064 + 8.47083i 0.379587 + 0.657464i
\(167\) −1.62229 + 6.05449i −0.125537 + 0.468510i −0.999858 0.0168373i \(-0.994640\pi\)
0.874321 + 0.485348i \(0.161307\pi\)
\(168\) 2.25972 + 5.14046i 0.174341 + 0.396595i
\(169\) −12.5336 + 3.45097i −0.964122 + 0.265459i
\(170\) −11.8248 5.87551i −0.906922 0.450631i
\(171\) −3.09569 + 13.9178i −0.236733 + 1.06432i
\(172\) 4.65306 + 1.24678i 0.354793 + 0.0950664i
\(173\) 6.47563 + 24.1674i 0.492333 + 1.83741i 0.544481 + 0.838773i \(0.316727\pi\)
−0.0521481 + 0.998639i \(0.516607\pi\)
\(174\) 9.36529 + 3.64572i 0.709981 + 0.276381i
\(175\) −9.94482 + 12.8006i −0.751758 + 0.967636i
\(176\) 2.20287 + 1.27183i 0.166048 + 0.0958676i
\(177\) −0.194913 + 0.0856829i −0.0146506 + 0.00644032i
\(178\) 6.82574 1.82895i 0.511611 0.137086i
\(179\) −4.62899 8.01764i −0.345987 0.599266i 0.639546 0.768753i \(-0.279122\pi\)
−0.985533 + 0.169487i \(0.945789\pi\)
\(180\) 5.21607 + 4.21813i 0.388783 + 0.314401i
\(181\) −1.39290 −0.103534 −0.0517669 0.998659i \(-0.516485\pi\)
−0.0517669 + 0.998659i \(0.516485\pi\)
\(182\) 1.56558 + 11.5837i 0.116049 + 0.858640i
\(183\) 3.42311 1.50478i 0.253044 0.111237i
\(184\) −2.28200 + 1.31751i −0.168231 + 0.0971283i
\(185\) −12.3842 + 14.0364i −0.910508 + 1.03198i
\(186\) 12.9461 10.3829i 0.949252 0.761311i
\(187\) 10.6210 10.6210i 0.776687 0.776687i
\(188\) 0.915776 + 3.41772i 0.0667898 + 0.249263i
\(189\) −16.8084 1.11934i −1.22263 0.0814199i
\(190\) −3.38581 10.0734i −0.245633 0.730805i
\(191\) 18.4894 + 10.6748i 1.33784 + 0.772405i 0.986487 0.163837i \(-0.0523870\pi\)
0.351357 + 0.936242i \(0.385720\pi\)
\(192\) −1.02467 + 1.39645i −0.0739488 + 0.100780i
\(193\) 1.24444 4.64433i 0.0895770 0.334306i −0.906564 0.422067i \(-0.861305\pi\)
0.996142 + 0.0877612i \(0.0279713\pi\)
\(194\) 5.08749 0.365261
\(195\) 8.01062 + 11.4381i 0.573652 + 0.819099i
\(196\) 3.51022 0.250730
\(197\) −4.34909 + 16.2310i −0.309860 + 1.15641i 0.618820 + 0.785533i \(0.287611\pi\)
−0.928680 + 0.370881i \(0.879056\pi\)
\(198\) −6.43875 + 4.09563i −0.457582 + 0.291063i
\(199\) −1.35427 0.781887i −0.0960015 0.0554265i 0.451231 0.892407i \(-0.350985\pi\)
−0.547232 + 0.836981i \(0.684319\pi\)
\(200\) −4.95322 0.682355i −0.350246 0.0482498i
\(201\) 4.51668 + 5.63169i 0.318582 + 0.397229i
\(202\) 3.26207 + 12.1742i 0.229518 + 0.856575i
\(203\) 13.3012 13.3012i 0.933561 0.933561i
\(204\) 6.39907 + 7.97877i 0.448024 + 0.558626i
\(205\) −0.594091 9.50060i −0.0414931 0.663551i
\(206\) −10.0630 + 5.80986i −0.701121 + 0.404792i
\(207\) −0.339308 7.89779i −0.0235835 0.548934i
\(208\) −2.85291 + 2.20475i −0.197814 + 0.152872i
\(209\) 12.0891 0.836219
\(210\) 11.1567 5.76040i 0.769883 0.397505i
\(211\) −13.3927 23.1968i −0.921991 1.59694i −0.796330 0.604862i \(-0.793228\pi\)
−0.125661 0.992073i \(-0.540105\pi\)
\(212\) −9.61959 + 2.57756i −0.660676 + 0.177028i
\(213\) 1.51829 + 3.45384i 0.104032 + 0.236653i
\(214\) −7.01336 4.04917i −0.479423 0.276795i
\(215\) 2.13311 10.5583i 0.145477 0.720068i
\(216\) −2.29332 4.66269i −0.156041 0.317256i
\(217\) −8.03948 30.0037i −0.545755 2.03679i
\(218\) 7.61641 + 2.04081i 0.515848 + 0.138221i
\(219\) 3.03064 + 19.7362i 0.204792 + 1.33365i
\(220\) 2.53093 5.09365i 0.170635 0.343414i
\(221\) 8.21532 + 19.6421i 0.552622 + 1.32127i
\(222\) 13.2735 5.83497i 0.890862 0.391618i
\(223\) −0.580270 + 2.16560i −0.0388578 + 0.145019i −0.982629 0.185579i \(-0.940584\pi\)
0.943772 + 0.330598i \(0.107251\pi\)
\(224\) 1.62097 + 2.80761i 0.108306 + 0.187591i
\(225\) 8.68572 12.2294i 0.579048 0.815293i
\(226\) −15.9278 −1.05950
\(227\) 10.8288 2.90158i 0.718735 0.192584i 0.119128 0.992879i \(-0.461990\pi\)
0.599607 + 0.800295i \(0.295324\pi\)
\(228\) −0.899025 + 8.18258i −0.0595394 + 0.541905i
\(229\) 2.10597i 0.139167i −0.997576 0.0695833i \(-0.977833\pi\)
0.997576 0.0695833i \(-0.0221670\pi\)
\(230\) 3.25876 + 4.90889i 0.214876 + 0.323683i
\(231\) 2.16788 + 14.1177i 0.142636 + 0.928876i
\(232\) 5.60459 + 1.50174i 0.367959 + 0.0985944i
\(233\) 9.31483 9.31483i 0.610235 0.610235i −0.332772 0.943007i \(-0.607984\pi\)
0.943007 + 0.332772i \(0.107984\pi\)
\(234\) −1.90750 10.6471i −0.124697 0.696025i
\(235\) 7.49956 2.52070i 0.489217 0.164432i
\(236\) −0.106457 + 0.0614633i −0.00692979 + 0.00400092i
\(237\) 14.2025 19.3556i 0.922550 1.25728i
\(238\) 18.4915 4.95479i 1.19863 0.321172i
\(239\) −8.59190 −0.555764 −0.277882 0.960615i \(-0.589632\pi\)
−0.277882 + 0.960615i \(0.589632\pi\)
\(240\) 3.25946 + 2.09188i 0.210397 + 0.135030i
\(241\) 4.63448 8.02715i 0.298533 0.517074i −0.677268 0.735737i \(-0.736836\pi\)
0.975801 + 0.218663i \(0.0701694\pi\)
\(242\) −3.20306 3.20306i −0.205901 0.205901i
\(243\) 15.5841 + 0.367227i 0.999722 + 0.0235576i
\(244\) 1.86963 1.07943i 0.119691 0.0691036i
\(245\) −0.489862 7.83379i −0.0312961 0.500482i
\(246\) −2.67484 + 6.87124i −0.170541 + 0.438094i
\(247\) −6.50312 + 15.8540i −0.413784 + 1.00876i
\(248\) 6.77502 6.77502i 0.430214 0.430214i
\(249\) −16.7454 + 2.57139i −1.06120 + 0.162955i
\(250\) −0.831579 + 11.1494i −0.0525937 + 0.705148i
\(251\) −13.0347 7.52561i −0.822746 0.475012i 0.0286168 0.999590i \(-0.490890\pi\)
−0.851362 + 0.524578i \(0.824223\pi\)
\(252\) −9.71688 + 0.417460i −0.612106 + 0.0262975i
\(253\) −6.47421 + 1.73476i −0.407030 + 0.109063i
\(254\) 3.68859 6.38882i 0.231443 0.400870i
\(255\) 16.9133 15.3943i 1.05915 0.964030i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 0.866280 3.23300i 0.0540371 0.201669i −0.933630 0.358239i \(-0.883377\pi\)
0.987667 + 0.156570i \(0.0500438\pi\)
\(258\) −4.93602 + 6.72697i −0.307303 + 0.418803i
\(259\) 27.1392i 1.68635i
\(260\) 5.31849 + 6.05918i 0.329839 + 0.375774i
\(261\) −11.7689 + 12.8255i −0.728475 + 0.793879i
\(262\) 9.32993 + 2.49995i 0.576405 + 0.154447i
\(263\) −23.8965 6.40304i −1.47352 0.394829i −0.569384 0.822072i \(-0.692818\pi\)
−0.904137 + 0.427243i \(0.859485\pi\)
\(264\) −3.43693 + 2.75646i −0.211528 + 0.169648i
\(265\) 7.09481 + 21.1084i 0.435831 + 1.29668i
\(266\) 13.3436 + 7.70391i 0.818146 + 0.472357i
\(267\) −1.33673 + 12.1664i −0.0818063 + 0.744569i
\(268\) 2.94721 + 2.94721i 0.180030 + 0.180030i
\(269\) −4.24979 + 7.36085i −0.259114 + 0.448799i −0.966005 0.258524i \(-0.916764\pi\)
0.706891 + 0.707323i \(0.250097\pi\)
\(270\) −10.0857 + 5.76872i −0.613798 + 0.351073i
\(271\) −12.1191 20.9909i −0.736184 1.27511i −0.954202 0.299163i \(-0.903293\pi\)
0.218018 0.975945i \(-0.430041\pi\)
\(272\) 4.17550 + 4.17550i 0.253177 + 0.253177i
\(273\) −19.6805 4.75136i −1.19112 0.287565i
\(274\) 3.04541i 0.183980i
\(275\) −11.7207 4.93747i −0.706788 0.297741i
\(276\) −0.692718 4.51112i −0.0416967 0.271537i
\(277\) 6.98152 + 26.0554i 0.419479 + 1.56552i 0.775692 + 0.631112i \(0.217401\pi\)
−0.356213 + 0.934405i \(0.615932\pi\)
\(278\) −11.2642 + 11.2642i −0.675584 + 0.675584i
\(279\) 8.62436 + 27.4196i 0.516327 + 1.64157i
\(280\) 6.03955 4.00935i 0.360932 0.239605i
\(281\) 23.5790i 1.40661i −0.710891 0.703303i \(-0.751708\pi\)
0.710891 0.703303i \(-0.248292\pi\)
\(282\) −6.09183 0.669313i −0.362763 0.0398570i
\(283\) 0.226599 0.845678i 0.0134699 0.0502703i −0.958864 0.283867i \(-0.908383\pi\)
0.972334 + 0.233596i \(0.0750494\pi\)
\(284\) 1.08912 + 1.88641i 0.0646275 + 0.111938i
\(285\) 18.3866 + 0.864458i 1.08913 + 0.0512061i
\(286\) −8.46103 + 3.53883i −0.500311 + 0.209255i
\(287\) 9.75898 + 9.75898i 0.576054 + 0.576054i
\(288\) −1.61013 2.53130i −0.0948781 0.149158i
\(289\) 15.4755 8.93481i 0.910326 0.525577i
\(290\) 2.56932 12.7174i 0.150876 0.746790i
\(291\) −3.19659 + 8.21155i −0.187388 + 0.481370i
\(292\) 2.98373 + 11.1354i 0.174610 + 0.651652i
\(293\) −5.53830 20.6692i −0.323551 1.20751i −0.915760 0.401725i \(-0.868411\pi\)
0.592209 0.805784i \(-0.298256\pi\)
\(294\) −2.20555 + 5.66573i −0.128631 + 0.330432i
\(295\) 0.152025 + 0.229005i 0.00885121 + 0.0133332i
\(296\) 7.24972 4.18563i 0.421381 0.243285i
\(297\) −2.56499 12.9659i −0.148836 0.752360i
\(298\) 2.24443 + 2.24443i 0.130016 + 0.130016i
\(299\) 1.20768 9.42364i 0.0698419 0.544983i
\(300\) 4.21359 7.56609i 0.243272 0.436828i
\(301\) 7.80856 + 13.5248i 0.450078 + 0.779558i
\(302\) −1.84243 + 6.87605i −0.106020 + 0.395672i
\(303\) −21.6996 2.38415i −1.24661 0.136966i
\(304\) 4.75264i 0.272583i
\(305\) −2.66989 4.02183i −0.152878 0.230290i
\(306\) −16.8989 + 5.31527i −0.966049 + 0.303854i
\(307\) 6.07344 6.07344i 0.346630 0.346630i −0.512223 0.858853i \(-0.671178\pi\)
0.858853 + 0.512223i \(0.171178\pi\)
\(308\) 2.13432 + 7.96541i 0.121614 + 0.453871i
\(309\) −3.05469 19.8928i −0.173775 1.13166i
\(310\) −16.0653 14.1744i −0.912451 0.805052i
\(311\) 14.9724i 0.849008i −0.905426 0.424504i \(-0.860448\pi\)
0.905426 0.424504i \(-0.139552\pi\)
\(312\) −1.76606 5.99008i −0.0999834 0.339121i
\(313\) −15.3539 15.3539i −0.867856 0.867856i 0.124379 0.992235i \(-0.460306\pi\)
−0.992235 + 0.124379i \(0.960306\pi\)
\(314\) −8.37025 14.4977i −0.472361 0.818153i
\(315\) 2.28767 + 21.6270i 0.128896 + 1.21854i
\(316\) 6.93030 12.0036i 0.389860 0.675257i
\(317\) 6.76077 + 6.76077i 0.379722 + 0.379722i 0.871002 0.491280i \(-0.163471\pi\)
−0.491280 + 0.871002i \(0.663471\pi\)
\(318\) 1.88386 17.1462i 0.105642 0.961511i
\(319\) 12.7817 + 7.37952i 0.715638 + 0.413174i
\(320\) 2.00249 + 0.994998i 0.111943 + 0.0556221i
\(321\) 10.9423 8.77584i 0.610739 0.489820i
\(322\) −8.25153 2.21099i −0.459840 0.123214i
\(323\) 27.1083 + 7.26365i 1.50835 + 0.404160i
\(324\) 8.96684 0.771898i 0.498158 0.0428832i
\(325\) 12.7801 12.7149i 0.708913 0.705296i
\(326\) 10.2181i 0.565928i
\(327\) −8.07957 + 11.0111i −0.446801 + 0.608915i
\(328\) −1.10182 + 4.11204i −0.0608377 + 0.227049i
\(329\) −5.73547 + 9.93412i −0.316206 + 0.547686i
\(330\) 6.63125 + 7.28555i 0.365038 + 0.401057i
\(331\) −1.03570 + 1.79389i −0.0569273 + 0.0986009i −0.893085 0.449889i \(-0.851464\pi\)
0.836157 + 0.548490i \(0.184797\pi\)
\(332\) −9.44798 + 2.53158i −0.518526 + 0.138938i
\(333\) 1.07795 + 25.0906i 0.0590714 + 1.37496i
\(334\) −5.42830 3.13403i −0.297024 0.171487i
\(335\) 6.16603 6.98861i 0.336886 0.381829i
\(336\) −5.55016 + 0.852271i −0.302786 + 0.0464952i
\(337\) −17.8662 + 17.8662i −0.973233 + 0.973233i −0.999651 0.0264177i \(-0.991590\pi\)
0.0264177 + 0.999651i \(0.491590\pi\)
\(338\) −0.0894455 12.9997i −0.00486519 0.707090i
\(339\) 10.0078 25.7085i 0.543549 1.39629i
\(340\) 8.73580 9.90121i 0.473765 0.536968i
\(341\) 21.1064 12.1858i 1.14298 0.659898i
\(342\) −12.6423 6.59240i −0.683620 0.356476i
\(343\) −7.99998 7.99998i −0.431958 0.431958i
\(344\) −2.40860 + 4.17182i −0.129863 + 0.224930i
\(345\) −9.97083 + 2.17549i −0.536812 + 0.117124i
\(346\) −25.0199 −1.34508
\(347\) −15.7825 + 4.22890i −0.847247 + 0.227019i −0.656224 0.754566i \(-0.727847\pi\)
−0.191023 + 0.981585i \(0.561181\pi\)
\(348\) −5.94541 + 8.10259i −0.318708 + 0.434345i
\(349\) 6.10030 3.52201i 0.326542 0.188529i −0.327763 0.944760i \(-0.606295\pi\)
0.654305 + 0.756231i \(0.272961\pi\)
\(350\) −9.79054 12.9190i −0.523327 0.690550i
\(351\) 18.3837 + 3.61101i 0.981250 + 0.192741i
\(352\) −1.79864 + 1.79864i −0.0958676 + 0.0958676i
\(353\) 26.9750 + 7.22794i 1.43574 + 0.384704i 0.891038 0.453928i \(-0.149978\pi\)
0.544697 + 0.838633i \(0.316644\pi\)
\(354\) −0.0323160 0.210448i −0.00171758 0.0111852i
\(355\) 4.05794 2.69386i 0.215373 0.142975i
\(356\) 7.06652i 0.374525i
\(357\) −3.62131 + 32.9598i −0.191660 + 1.74442i
\(358\) 8.94251 2.39614i 0.472627 0.126640i
\(359\) −24.5551 −1.29597 −0.647983 0.761655i \(-0.724387\pi\)
−0.647983 + 0.761655i \(0.724387\pi\)
\(360\) −5.42442 + 3.94660i −0.285892 + 0.208004i
\(361\) 1.79381 + 3.10696i 0.0944109 + 0.163524i
\(362\) 0.360510 1.34544i 0.0189480 0.0707149i
\(363\) 7.18252 3.15740i 0.376985 0.165720i
\(364\) −11.5942 1.48584i −0.607700 0.0778794i
\(365\) 24.4346 8.21280i 1.27897 0.429878i
\(366\) 0.567541 + 3.69594i 0.0296658 + 0.193190i
\(367\) 6.11473 + 1.63844i 0.319186 + 0.0855257i 0.414855 0.909888i \(-0.363832\pi\)
−0.0956688 + 0.995413i \(0.530499\pi\)
\(368\) −0.681994 2.54524i −0.0355514 0.132680i
\(369\) −9.40997 8.63472i −0.489863 0.449506i
\(370\) −10.3528 15.5951i −0.538218 0.810753i
\(371\) −27.9608 16.1432i −1.45165 0.838111i
\(372\) 6.67842 + 15.1922i 0.346260 + 0.787681i
\(373\) 2.63423 0.705839i 0.136395 0.0365470i −0.189976 0.981789i \(-0.560841\pi\)
0.326371 + 0.945242i \(0.394174\pi\)
\(374\) 7.51021 + 13.0081i 0.388343 + 0.672631i
\(375\) −17.4733 8.34764i −0.902318 0.431070i
\(376\) −3.53828 −0.182473
\(377\) −16.5534 + 12.7926i −0.852544 + 0.658853i
\(378\) 5.43154 15.9460i 0.279368 0.820173i
\(379\) 1.70971 0.987101i 0.0878218 0.0507040i −0.455446 0.890263i \(-0.650520\pi\)
0.543268 + 0.839559i \(0.317187\pi\)
\(380\) 10.6065 0.663246i 0.544103 0.0340238i
\(381\) 7.99435 + 9.96787i 0.409563 + 0.510670i
\(382\) −15.0965 + 15.0965i −0.772405 + 0.772405i
\(383\) −5.61956 20.9725i −0.287146 1.07164i −0.947257 0.320476i \(-0.896157\pi\)
0.660110 0.751169i \(-0.270509\pi\)
\(384\) −1.08366 1.35118i −0.0553003 0.0689520i
\(385\) 17.4786 5.87479i 0.890793 0.299407i
\(386\) 4.16399 + 2.40408i 0.211942 + 0.122365i
\(387\) −7.75635 12.1938i −0.394277 0.619845i
\(388\) −1.31674 + 4.91414i −0.0668473 + 0.249478i
\(389\) −4.09503 −0.207626 −0.103813 0.994597i \(-0.533104\pi\)
−0.103813 + 0.994597i \(0.533104\pi\)
\(390\) −13.1217 + 4.77726i −0.664441 + 0.241906i
\(391\) −15.5599 −0.786900
\(392\) −0.908512 + 3.39061i −0.0458868 + 0.171252i
\(393\) −9.89729 + 13.4883i −0.499252 + 0.680397i
\(394\) −14.5524 8.40181i −0.733137 0.423277i
\(395\) −27.7558 13.7913i −1.39654 0.693914i
\(396\) −2.28960 7.27938i −0.115057 0.365803i
\(397\) −2.00061 7.46640i −0.100408 0.374728i 0.897376 0.441267i \(-0.145471\pi\)
−0.997784 + 0.0665394i \(0.978804\pi\)
\(398\) 1.10575 1.10575i 0.0554265 0.0554265i
\(399\) −20.8187 + 16.6968i −1.04224 + 0.835887i
\(400\) 1.94109 4.60784i 0.0970546 0.230392i
\(401\) −17.4404 + 10.0692i −0.870930 + 0.502831i −0.867657 0.497163i \(-0.834375\pi\)
−0.00327255 + 0.999995i \(0.501042\pi\)
\(402\) −6.60880 + 2.90519i −0.329617 + 0.144898i
\(403\) 4.62696 + 34.2347i 0.230485 + 1.70535i
\(404\) −12.6037 −0.627056
\(405\) −2.97400 19.9037i −0.147779 0.989020i
\(406\) 9.40537 + 16.2906i 0.466781 + 0.808488i
\(407\) 20.5680 5.51119i 1.01952 0.273179i
\(408\) −9.36310 + 4.11597i −0.463543 + 0.203771i
\(409\) −31.6178 18.2545i −1.56340 0.902629i −0.996909 0.0785600i \(-0.974968\pi\)
−0.566490 0.824069i \(-0.691699\pi\)
\(410\) 9.33064 + 1.88509i 0.460807 + 0.0930979i
\(411\) −4.91550 1.91350i −0.242463 0.0943862i
\(412\) −3.00741 11.2238i −0.148164 0.552957i
\(413\) −0.384942 0.103145i −0.0189418 0.00507543i
\(414\) 7.71650 + 1.71635i 0.379245 + 0.0843541i
\(415\) 6.96825 + 20.7319i 0.342058 + 1.01769i
\(416\) −1.39124 3.32633i −0.0682110 0.163087i
\(417\) −11.1036 25.2588i −0.543747 1.23693i
\(418\) −3.12889 + 11.6772i −0.153039 + 0.571149i
\(419\) 1.13380 + 1.96380i 0.0553898 + 0.0959380i 0.892391 0.451263i \(-0.149027\pi\)
−0.837001 + 0.547201i \(0.815693\pi\)
\(420\) 2.67656 + 12.2674i 0.130603 + 0.598588i
\(421\) 7.13266 0.347624 0.173812 0.984779i \(-0.444391\pi\)
0.173812 + 0.984779i \(0.444391\pi\)
\(422\) 25.8727 6.93257i 1.25946 0.337472i
\(423\) 4.90796 9.41207i 0.238633 0.457631i
\(424\) 9.95893i 0.483648i
\(425\) −23.3157 18.1140i −1.13098 0.878659i
\(426\) −3.72912 + 0.572635i −0.180676 + 0.0277443i
\(427\) 6.76044 + 1.81145i 0.327161 + 0.0876624i
\(428\) 5.72638 5.72638i 0.276795 0.276795i
\(429\) −0.395629 15.8802i −0.0191012 0.766703i
\(430\) 9.64642 + 4.79311i 0.465192 + 0.231144i
\(431\) −17.6769 + 10.2058i −0.851466 + 0.491594i −0.861145 0.508359i \(-0.830252\pi\)
0.00967910 + 0.999953i \(0.496919\pi\)
\(432\) 5.09737 1.00839i 0.245247 0.0485161i
\(433\) 18.6719 5.00312i 0.897314 0.240434i 0.219451 0.975623i \(-0.429573\pi\)
0.677862 + 0.735189i \(0.262907\pi\)
\(434\) 31.0621 1.49103
\(435\) 18.9123 + 12.1377i 0.906777 + 0.581957i
\(436\) −3.94254 + 6.82868i −0.188814 + 0.327035i
\(437\) −8.85533 8.85533i −0.423608 0.423608i
\(438\) −19.8481 2.18072i −0.948377 0.104199i
\(439\) 20.9830 12.1145i 1.00146 0.578195i 0.0927818 0.995686i \(-0.470424\pi\)
0.908681 + 0.417492i \(0.137091\pi\)
\(440\) 4.26504 + 3.76303i 0.203328 + 0.179395i
\(441\) −7.75905 7.11982i −0.369479 0.339039i
\(442\) −21.0991 + 2.85163i −1.00358 + 0.135638i
\(443\) −13.3047 + 13.3047i −0.632124 + 0.632124i −0.948600 0.316477i \(-0.897500\pi\)
0.316477 + 0.948600i \(0.397500\pi\)
\(444\) 2.20071 + 14.3315i 0.104441 + 0.680141i
\(445\) 15.7704 0.986155i 0.747590 0.0467482i
\(446\) −1.94162 1.12100i −0.0919384 0.0530807i
\(447\) −5.03289 + 2.21243i −0.238048 + 0.104644i
\(448\) −3.13148 + 0.839078i −0.147949 + 0.0396427i
\(449\) −10.6789 + 18.4965i −0.503971 + 0.872903i 0.496019 + 0.868312i \(0.334795\pi\)
−0.999989 + 0.00459112i \(0.998539\pi\)
\(450\) 9.56466 + 11.5550i 0.450882 + 0.544706i
\(451\) −5.41429 + 9.37783i −0.254949 + 0.441585i
\(452\) 4.12241 15.3850i 0.193902 0.723651i
\(453\) −9.94075 7.29419i −0.467057 0.342711i
\(454\) 11.2108i 0.526150i
\(455\) −1.69797 + 26.0822i −0.0796019 + 1.22275i
\(456\) −7.67108 2.98620i −0.359231 0.139842i
\(457\) −3.44410 0.922843i −0.161108 0.0431688i 0.177363 0.984145i \(-0.443243\pi\)
−0.338472 + 0.940977i \(0.609910\pi\)
\(458\) 2.03421 + 0.545066i 0.0950526 + 0.0254693i
\(459\) 2.03882 30.6157i 0.0951640 1.42902i
\(460\) −5.58506 + 1.87721i −0.260405 + 0.0875253i
\(461\) 7.91843 + 4.57171i 0.368798 + 0.212926i 0.672933 0.739703i \(-0.265034\pi\)
−0.304135 + 0.952629i \(0.598367\pi\)
\(462\) −14.1977 1.55991i −0.660539 0.0725738i
\(463\) −26.6012 26.6012i −1.23626 1.23626i −0.961516 0.274748i \(-0.911406\pi\)
−0.274748 0.961516i \(-0.588594\pi\)
\(464\) −2.90115 + 5.02494i −0.134682 + 0.233277i
\(465\) 32.9727 17.0244i 1.52907 0.789489i
\(466\) 6.58658 + 11.4083i 0.305117 + 0.528479i
\(467\) −0.0850788 0.0850788i −0.00393698 0.00393698i 0.705136 0.709073i \(-0.250886\pi\)
−0.709073 + 0.705136i \(0.750886\pi\)
\(468\) 10.7780 + 0.913173i 0.498215 + 0.0422114i
\(469\) 13.5124i 0.623944i
\(470\) 0.493779 + 7.89642i 0.0227763 + 0.364235i
\(471\) 28.6595 4.40089i 1.32056 0.202782i
\(472\) −0.0318157 0.118738i −0.00146444 0.00546536i
\(473\) −8.66440 + 8.66440i −0.398389 + 0.398389i
\(474\) 15.0202 + 18.7281i 0.689900 + 0.860212i
\(475\) −2.96034 23.5781i −0.135830 1.08184i
\(476\) 19.1439i 0.877457i
\(477\) 26.4914 + 13.8140i 1.21296 + 0.632501i
\(478\) 2.22375 8.29914i 0.101712 0.379594i
\(479\) 6.96353 + 12.0612i 0.318172 + 0.551089i 0.980107 0.198472i \(-0.0635979\pi\)
−0.661935 + 0.749561i \(0.730265\pi\)
\(480\) −2.86421 + 2.60698i −0.130733 + 0.118992i
\(481\) −3.83670 + 29.9381i −0.174938 + 1.36506i
\(482\) 6.55414 + 6.55414i 0.298533 + 0.298533i
\(483\) 8.75331 11.9293i 0.398290 0.542801i
\(484\) 3.92294 2.26491i 0.178315 0.102950i
\(485\) 11.1507 + 2.25280i 0.506327 + 0.102294i
\(486\) −4.38818 + 14.9581i −0.199052 + 0.678512i
\(487\) −0.263042 0.981687i −0.0119196 0.0444845i 0.959710 0.280993i \(-0.0906637\pi\)
−0.971629 + 0.236508i \(0.923997\pi\)
\(488\) 0.558755 + 2.08530i 0.0252937 + 0.0943972i
\(489\) 16.4927 + 6.42027i 0.745824 + 0.290335i
\(490\) 7.69364 + 1.55436i 0.347563 + 0.0702190i
\(491\) 7.95569 4.59322i 0.359035 0.207289i −0.309622 0.950860i \(-0.600203\pi\)
0.668658 + 0.743571i \(0.266869\pi\)
\(492\) −5.94481 4.36210i −0.268013 0.196659i
\(493\) 24.2275 + 24.2275i 1.09115 + 1.09115i
\(494\) −13.6306 10.3848i −0.613271 0.467236i
\(495\) −15.9259 + 6.12558i −0.715818 + 0.275324i
\(496\) 4.79066 + 8.29767i 0.215107 + 0.372576i
\(497\) −1.82772 + 6.82113i −0.0819842 + 0.305969i
\(498\) 1.85026 16.8403i 0.0829120 0.754633i
\(499\) 23.5299i 1.05334i 0.850069 + 0.526671i \(0.176560\pi\)
−0.850069 + 0.526671i \(0.823440\pi\)
\(500\) −10.5542 3.68891i −0.472000 0.164973i
\(501\) 8.46927 6.79245i 0.378379 0.303464i
\(502\) 10.6428 10.6428i 0.475012 0.475012i
\(503\) −1.18181 4.41059i −0.0526945 0.196659i 0.934561 0.355804i \(-0.115793\pi\)
−0.987255 + 0.159145i \(0.949126\pi\)
\(504\) 2.11168 9.49383i 0.0940616 0.422889i
\(505\) 1.75888 + 28.1277i 0.0782692 + 1.25167i
\(506\) 6.70259i 0.297967i
\(507\) 21.0386 + 8.02365i 0.934355 + 0.356343i
\(508\) 5.21645 + 5.21645i 0.231443 + 0.231443i
\(509\) −18.5495 32.1288i −0.822194 1.42408i −0.904045 0.427437i \(-0.859416\pi\)
0.0818510 0.996645i \(-0.473917\pi\)
\(510\) 10.4923 + 20.3213i 0.464606 + 0.899843i
\(511\) −18.6870 + 32.3668i −0.826663 + 1.43182i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 18.5840 16.2634i 0.820506 0.718047i
\(514\) 2.89863 + 1.67352i 0.127853 + 0.0738160i
\(515\) −24.6286 + 8.27797i −1.08526 + 0.364771i
\(516\) −5.22021 6.50890i −0.229807 0.286538i
\(517\) −8.69350 2.32942i −0.382340 0.102448i
\(518\) 26.2144 + 7.02413i 1.15180 + 0.308623i
\(519\) 15.7206 40.3838i 0.690058 1.77265i
\(520\) −7.22925 + 3.56903i −0.317023 + 0.156512i
\(521\) 10.1420i 0.444330i 0.975009 + 0.222165i \(0.0713124\pi\)
−0.975009 + 0.222165i \(0.928688\pi\)
\(522\) −9.34248 14.6873i −0.408909 0.642847i
\(523\) −5.76087 + 21.4998i −0.251905 + 0.940123i 0.717881 + 0.696166i \(0.245112\pi\)
−0.969786 + 0.243957i \(0.921554\pi\)
\(524\) −4.82953 + 8.36498i −0.210979 + 0.365426i
\(525\) 27.0038 7.68526i 1.17854 0.335412i
\(526\) 12.3697 21.4250i 0.539346 0.934174i
\(527\) 54.6504 14.6435i 2.38061 0.637882i
\(528\) −1.77299 4.03324i −0.0771595 0.175524i
\(529\) −13.9055 8.02832i −0.604585 0.349058i
\(530\) −22.2254 + 1.38980i −0.965411 + 0.0603690i
\(531\) 0.359982 + 0.0800695i 0.0156219 + 0.00347472i
\(532\) −10.8950 + 10.8950i −0.472357 + 0.472357i
\(533\) −9.38583 12.1451i −0.406545 0.526063i
\(534\) −11.4058 4.44006i −0.493579 0.192140i
\(535\) −13.5788 11.9805i −0.587061 0.517962i
\(536\) −3.60958 + 2.08399i −0.155910 + 0.0900148i
\(537\) −1.75127 + 15.9394i −0.0755728 + 0.687834i
\(538\) −6.01011 6.01011i −0.259114 0.259114i
\(539\) −4.46439 + 7.73256i −0.192295 + 0.333065i
\(540\) −2.96178 11.2351i −0.127455 0.483482i
\(541\) 12.6124 0.542251 0.271126 0.962544i \(-0.412604\pi\)
0.271126 + 0.962544i \(0.412604\pi\)
\(542\) 23.4123 6.27331i 1.00565 0.269462i
\(543\) 1.94512 + 1.42726i 0.0834729 + 0.0612496i
\(544\) −5.11392 + 2.95252i −0.219258 + 0.126588i
\(545\) 15.7898 + 7.84564i 0.676362 + 0.336070i
\(546\) 9.68315 17.7802i 0.414401 0.760922i
\(547\) 10.8843 10.8843i 0.465379 0.465379i −0.435035 0.900414i \(-0.643264\pi\)
0.900414 + 0.435035i \(0.143264\pi\)
\(548\) −2.94164 0.788210i −0.125661 0.0336707i
\(549\) −6.32209 1.40620i −0.269820 0.0600151i
\(550\) 7.80278 10.0435i 0.332712 0.428255i
\(551\) 27.5762i 1.17479i
\(552\) 4.53669 + 0.498450i 0.193095 + 0.0212154i
\(553\) 43.4042 11.6301i 1.84573 0.494563i
\(554\) −26.9745 −1.14604
\(555\) 31.6765 6.91134i 1.34459 0.293370i
\(556\) −7.96502 13.7958i −0.337792 0.585073i
\(557\) −2.86382 + 10.6879i −0.121344 + 0.452862i −0.999683 0.0251762i \(-0.991985\pi\)
0.878339 + 0.478038i \(0.158652\pi\)
\(558\) −28.7175 + 1.23377i −1.21571 + 0.0522297i
\(559\) −6.70187 16.0236i −0.283459 0.677726i
\(560\) 2.30958 + 6.87146i 0.0975978 + 0.290372i
\(561\) −25.7147 + 3.94869i −1.08568 + 0.166714i
\(562\) 22.7756 + 6.10270i 0.960729 + 0.257427i
\(563\) 3.94338 + 14.7169i 0.166194 + 0.620244i 0.997885 + 0.0650052i \(0.0207064\pi\)
−0.831691 + 0.555239i \(0.812627\pi\)
\(564\) 2.22319 5.71103i 0.0936131 0.240478i
\(565\) −34.9102 7.05299i −1.46868 0.296721i
\(566\) 0.758214 + 0.437755i 0.0318701 + 0.0184002i
\(567\) 22.3251 + 18.7861i 0.937566 + 0.788942i
\(568\) −2.10402 + 0.563771i −0.0882828 + 0.0236553i
\(569\) 11.6091 + 20.1075i 0.486677 + 0.842949i 0.999883 0.0153166i \(-0.00487561\pi\)
−0.513206 + 0.858266i \(0.671542\pi\)
\(570\) −5.59380 + 17.5363i −0.234299 + 0.734517i
\(571\) −7.32536 −0.306557 −0.153278 0.988183i \(-0.548983\pi\)
−0.153278 + 0.988183i \(0.548983\pi\)
\(572\) −1.22837 9.08865i −0.0513606 0.380015i
\(573\) −14.8813 33.8523i −0.621674 1.41420i
\(574\) −11.9523 + 6.90064i −0.498878 + 0.288027i
\(575\) 4.96880 + 12.2022i 0.207213 + 0.508869i
\(576\) 2.86178 0.900122i 0.119241 0.0375051i
\(577\) 25.4083 25.4083i 1.05776 1.05776i 0.0595345 0.998226i \(-0.481038\pi\)
0.998226 0.0595345i \(-0.0189616\pi\)
\(578\) 4.62500 + 17.2607i 0.192374 + 0.717951i
\(579\) −6.49668 + 5.21041i −0.269993 + 0.216537i
\(580\) 11.6191 + 5.77327i 0.482455 + 0.239722i
\(581\) −27.4620 15.8552i −1.13932 0.657784i
\(582\) −7.10441 5.21298i −0.294487 0.216085i
\(583\) 6.55642 24.4689i 0.271539 1.01340i
\(584\) −11.5282 −0.477042
\(585\) 0.533828 24.1809i 0.0220711 0.999756i
\(586\) 21.3984 0.883958
\(587\) −1.75805 + 6.56112i −0.0725624 + 0.270807i −0.992670 0.120860i \(-0.961435\pi\)
0.920107 + 0.391667i \(0.128101\pi\)
\(588\) −4.90183 3.59680i −0.202148 0.148330i
\(589\) 39.4359 + 22.7683i 1.62493 + 0.938152i
\(590\) −0.260548 + 0.0875737i −0.0107266 + 0.00360535i
\(591\) 22.7047 18.2094i 0.933945 0.749035i
\(592\) 2.16664 + 8.08601i 0.0890484 + 0.332333i
\(593\) −0.942761 + 0.942761i −0.0387146 + 0.0387146i −0.726199 0.687484i \(-0.758715\pi\)
0.687484 + 0.726199i \(0.258715\pi\)
\(594\) 13.1880 + 0.878241i 0.541111 + 0.0360347i
\(595\) 42.7235 2.67159i 1.75149 0.109524i
\(596\) −2.74886 + 1.58705i −0.112598 + 0.0650082i
\(597\) 1.08999 + 2.47953i 0.0446103 + 0.101481i
\(598\) 8.78997 + 3.60555i 0.359449 + 0.147442i
\(599\) −10.1561 −0.414967 −0.207484 0.978238i \(-0.566527\pi\)
−0.207484 + 0.978238i \(0.566527\pi\)
\(600\) 6.21772 + 6.02826i 0.253837 + 0.246103i
\(601\) −18.8319 32.6178i −0.768170 1.33051i −0.938554 0.345132i \(-0.887834\pi\)
0.170384 0.985378i \(-0.445499\pi\)
\(602\) −15.0850 + 4.04201i −0.614818 + 0.164740i
\(603\) −0.536705 12.4924i −0.0218563 0.508731i
\(604\) −6.16489 3.55930i −0.250846 0.144826i
\(605\) −5.60208 8.43878i −0.227757 0.343085i
\(606\) 7.91919 20.3432i 0.321695 0.826384i
\(607\) −8.99110 33.5552i −0.364937 1.36197i −0.867506 0.497428i \(-0.834278\pi\)
0.502568 0.864538i \(-0.332389\pi\)
\(608\) −4.59070 1.23007i −0.186177 0.0498861i
\(609\) −32.2037 + 4.94513i −1.30496 + 0.200387i
\(610\) 4.57581 1.53799i 0.185269 0.0622714i
\(611\) 7.73139 10.1478i 0.312779 0.410538i
\(612\) −0.760383 17.6988i −0.0307367 0.715433i
\(613\) −9.64392 + 35.9916i −0.389514 + 1.45369i 0.441412 + 0.897305i \(0.354478\pi\)
−0.830926 + 0.556383i \(0.812189\pi\)
\(614\) 4.29457 + 7.43842i 0.173315 + 0.300190i
\(615\) −8.90532 + 13.8758i −0.359097 + 0.559527i
\(616\) −8.24640 −0.332257
\(617\) −4.32364 + 1.15852i −0.174063 + 0.0466401i −0.344798 0.938677i \(-0.612053\pi\)
0.170735 + 0.985317i \(0.445386\pi\)
\(618\) 20.0056 + 2.19802i 0.804742 + 0.0884175i
\(619\) 6.76786i 0.272023i −0.990707 0.136012i \(-0.956572\pi\)
0.990707 0.136012i \(-0.0434284\pi\)
\(620\) 17.8494 11.8493i 0.716851 0.475881i
\(621\) −7.61876 + 11.3765i −0.305730 + 0.456524i
\(622\) 14.4623 + 3.87515i 0.579883 + 0.155379i
\(623\) −16.1993 + 16.1993i −0.649012 + 0.649012i
\(624\) 6.24306 0.155536i 0.249922 0.00622641i
\(625\) −6.75970 + 24.0688i −0.270388 + 0.962751i
\(626\) 18.8047 10.8569i 0.751585 0.433928i
\(627\) −16.8818 12.3873i −0.674192 0.494700i
\(628\) 16.1701 4.33276i 0.645257 0.172896i
\(629\) 49.4327 1.97101
\(630\) −21.4822 3.38776i −0.855870 0.134971i
\(631\) −5.32142 + 9.21696i −0.211842 + 0.366922i −0.952291 0.305191i \(-0.901280\pi\)
0.740449 + 0.672113i \(0.234613\pi\)
\(632\) 9.80093 + 9.80093i 0.389860 + 0.389860i
\(633\) −5.06681 + 46.1161i −0.201388 + 1.83295i
\(634\) −8.28021 + 4.78058i −0.328849 + 0.189861i
\(635\) 10.9136 12.3696i 0.433094 0.490871i
\(636\) 16.0744 + 6.25743i 0.637390 + 0.248123i
\(637\) −7.73915 10.0143i −0.306636 0.396782i
\(638\) −10.4362 + 10.4362i −0.413174 + 0.413174i
\(639\) 1.41882 6.37884i 0.0561278 0.252343i
\(640\) −1.47938 + 1.67674i −0.0584775 + 0.0662788i
\(641\) 7.13092 + 4.11704i 0.281654 + 0.162613i 0.634172 0.773192i \(-0.281341\pi\)
−0.352518 + 0.935805i \(0.614674\pi\)
\(642\) 5.64474 + 12.8408i 0.222780 + 0.506785i
\(643\) 10.9513 2.93440i 0.431878 0.115721i −0.0363295 0.999340i \(-0.511567\pi\)
0.468208 + 0.883618i \(0.344900\pi\)
\(644\) 4.27130 7.39811i 0.168313 0.291527i
\(645\) −13.7975 + 12.5583i −0.543275 + 0.494484i
\(646\) −14.0323 + 24.3046i −0.552093 + 0.956254i
\(647\) −10.2584 + 38.2848i −0.403298 + 1.50513i 0.403874 + 0.914815i \(0.367663\pi\)
−0.807173 + 0.590316i \(0.799003\pi\)
\(648\) −1.57519 + 8.86108i −0.0618794 + 0.348096i
\(649\) 0.312683i 0.0122739i
\(650\) 8.97391 + 15.6355i 0.351986 + 0.613275i
\(651\) −19.5171 + 50.1364i −0.764935 + 1.96500i
\(652\) 9.86992 + 2.64464i 0.386536 + 0.103572i
\(653\) −13.2114 3.53997i −0.517001 0.138530i −0.00912169 0.999958i \(-0.502904\pi\)
−0.507879 + 0.861429i \(0.669570\pi\)
\(654\) −8.54475 10.6541i −0.334126 0.416610i
\(655\) 19.3422 + 9.61074i 0.755762 + 0.375523i
\(656\) −3.68675 2.12855i −0.143944 0.0831059i
\(657\) 15.9908 30.6659i 0.623862 1.19639i
\(658\) −8.11117 8.11117i −0.316206 0.316206i
\(659\) 14.4718 25.0658i 0.563740 0.976426i −0.433426 0.901189i \(-0.642695\pi\)
0.997166 0.0752366i \(-0.0239712\pi\)
\(660\) −8.75360 + 4.51965i −0.340733 + 0.175927i
\(661\) 8.52390 + 14.7638i 0.331541 + 0.574246i 0.982814 0.184597i \(-0.0590981\pi\)
−0.651273 + 0.758843i \(0.725765\pi\)
\(662\) −1.46470 1.46470i −0.0569273 0.0569273i
\(663\) 8.65436 35.8471i 0.336108 1.39219i
\(664\) 9.78127i 0.379587i
\(665\) 25.8348 + 22.7940i 1.00183 + 0.883912i
\(666\) −24.5147 5.45271i −0.949924 0.211288i
\(667\) −3.95713 14.7682i −0.153221 0.571828i
\(668\) 4.43219 4.43219i 0.171487 0.171487i
\(669\) 3.02933 2.42956i 0.117121 0.0939321i
\(670\) 5.15460 + 7.76471i 0.199139 + 0.299977i
\(671\) 5.49141i 0.211993i
\(672\) 0.613257 5.58163i 0.0236569 0.215316i
\(673\) −10.7003 + 39.9340i −0.412465 + 1.53934i 0.377394 + 0.926053i \(0.376820\pi\)
−0.789859 + 0.613289i \(0.789846\pi\)
\(674\) −12.6333 21.8815i −0.486617 0.842845i
\(675\) −24.6602 + 8.17773i −0.949171 + 0.314761i
\(676\) 12.5799 + 3.27817i 0.483842 + 0.126083i
\(677\) −22.6992 22.6992i −0.872403 0.872403i 0.120331 0.992734i \(-0.461604\pi\)
−0.992734 + 0.120331i \(0.961604\pi\)
\(678\) 22.2423 + 16.3206i 0.854209 + 0.626790i
\(679\) −14.2837 + 8.24669i −0.548158 + 0.316479i
\(680\) 7.30284 + 11.0008i 0.280051 + 0.421860i
\(681\) −18.0950 7.04403i −0.693403 0.269928i
\(682\) 6.30783 + 23.5411i 0.241539 + 0.901437i
\(683\) −4.04544 15.0978i −0.154794 0.577701i −0.999123 0.0418747i \(-0.986667\pi\)
0.844328 0.535826i \(-0.180000\pi\)
\(684\) 9.63984 10.5053i 0.368589 0.401681i
\(685\) −1.34854 + 6.67489i −0.0515251 + 0.255034i
\(686\) 9.79794 5.65684i 0.374087 0.215979i
\(687\) −2.15792 + 2.94088i −0.0823297 + 0.112201i
\(688\) −3.40628 3.40628i −0.129863 0.129863i
\(689\) 28.5623 + 21.7609i 1.08814 + 0.829025i
\(690\) 0.479284 10.1941i 0.0182460 0.388084i
\(691\) −21.0379 36.4387i −0.800319 1.38619i −0.919406 0.393310i \(-0.871330\pi\)
0.119087 0.992884i \(-0.462003\pi\)
\(692\) 6.47563 24.1674i 0.246167 0.918706i
\(693\) 11.4386 21.9360i 0.434516 0.833278i
\(694\) 16.3392i 0.620228i
\(695\) −29.6767 + 19.7009i −1.12570 + 0.747296i
\(696\) −6.28772 7.83993i −0.238335 0.297172i
\(697\) −17.7755 + 17.7755i −0.673296 + 0.673296i
\(698\) 1.82313 + 6.80400i 0.0690064 + 0.257535i
\(699\) −22.5522 + 3.46307i −0.853004 + 0.130985i
\(700\) 15.0128 6.11325i 0.567430 0.231059i
\(701\) 3.71040i 0.140140i −0.997542 0.0700699i \(-0.977678\pi\)
0.997542 0.0700699i \(-0.0223222\pi\)
\(702\) −8.24602 + 16.8227i −0.311226 + 0.634932i
\(703\) 28.1327 + 28.1327i 1.06104 + 1.06104i
\(704\) −1.27183 2.20287i −0.0479338 0.0830238i
\(705\) −13.0556 4.16452i −0.491702 0.156845i
\(706\) −13.9633 + 24.1851i −0.525516 + 0.910220i
\(707\) −28.8927 28.8927i −1.08662 1.08662i
\(708\) 0.211641 + 0.0232532i 0.00795397 + 0.000873908i
\(709\) 31.3277 + 18.0870i 1.17653 + 0.679273i 0.955210 0.295928i \(-0.0956287\pi\)
0.221324 + 0.975200i \(0.428962\pi\)
\(710\) 1.55180 + 4.61689i 0.0582378 + 0.173269i
\(711\) −39.6660 + 12.4762i −1.48759 + 0.467895i
\(712\) −6.82574 1.82895i −0.255805 0.0685428i
\(713\) −24.3868 6.53441i −0.913291 0.244716i
\(714\) −30.8994 12.0285i −1.15638 0.450157i
\(715\) −20.1118 + 4.00971i −0.752138 + 0.149954i
\(716\) 9.25797i 0.345987i
\(717\) 11.9981 + 8.80383i 0.448078 + 0.328785i
\(718\) 6.35532 23.7184i 0.237178 0.885161i
\(719\) −1.78995 + 3.10029i −0.0667539 + 0.115621i −0.897471 0.441074i \(-0.854598\pi\)
0.830717 + 0.556695i \(0.187931\pi\)
\(720\) −2.40818 6.26104i −0.0897476 0.233335i
\(721\) 18.8353 32.6236i 0.701462 1.21497i
\(722\) −3.46537 + 0.928543i −0.128968 + 0.0345568i
\(723\) −14.6969 + 6.46069i −0.546585 + 0.240276i
\(724\) 1.20629 + 0.696452i 0.0448315 + 0.0258835i
\(725\) 11.2628 26.7360i 0.418289 0.992951i
\(726\) 1.19084 + 7.75498i 0.0441961 + 0.287814i
\(727\) −24.1251 + 24.1251i −0.894750 + 0.894750i −0.994966 0.100216i \(-0.968047\pi\)
0.100216 + 0.994966i \(0.468047\pi\)
\(728\) 4.43601 10.8146i 0.164409 0.400814i
\(729\) −21.3861 16.4813i −0.792078 0.610420i
\(730\) 1.60880 + 25.7277i 0.0595445 + 0.952224i
\(731\) −24.6348 + 14.2229i −0.911152 + 0.526054i
\(732\) −3.71690 0.408378i −0.137380 0.0150941i
\(733\) 18.2864 + 18.2864i 0.675422 + 0.675422i 0.958961 0.283539i \(-0.0915085\pi\)
−0.283539 + 0.958961i \(0.591509\pi\)
\(734\) −3.16522 + 5.48232i −0.116830 + 0.202356i
\(735\) −7.34294 + 11.4414i −0.270849 + 0.422023i
\(736\) 2.63502 0.0971283
\(737\) −10.2407 + 2.74398i −0.377220 + 0.101076i
\(738\) 10.7760 6.85450i 0.396669 0.252318i
\(739\) −23.4643 + 13.5471i −0.863146 + 0.498338i −0.865065 0.501660i \(-0.832723\pi\)
0.00191827 + 0.999998i \(0.499389\pi\)
\(740\) 17.7433 5.96374i 0.652255 0.219231i
\(741\) 25.3263 15.4757i 0.930384 0.568514i
\(742\) 22.8299 22.8299i 0.838111 0.838111i
\(743\) 14.2643 + 3.82210i 0.523305 + 0.140219i 0.510795 0.859703i \(-0.329351\pi\)
0.0125100 + 0.999922i \(0.496018\pi\)
\(744\) −16.4031 + 2.51882i −0.601366 + 0.0923445i
\(745\) 3.92545 + 5.91317i 0.143817 + 0.216642i
\(746\) 2.72715i 0.0998482i
\(747\) 26.0188 + 13.5676i 0.951979 + 0.496413i
\(748\) −14.5086 + 3.88757i −0.530487 + 0.142144i
\(749\) 26.2544 0.959313
\(750\) 12.5856 14.7174i 0.459562 0.537404i
\(751\) 17.5962 + 30.4775i 0.642094 + 1.11214i 0.984964 + 0.172757i \(0.0552676\pi\)
−0.342870 + 0.939383i \(0.611399\pi\)
\(752\) 0.915776 3.41772i 0.0333949 0.124631i
\(753\) 10.4911 + 23.8654i 0.382316 + 0.869702i
\(754\) −8.07237 19.3003i −0.293978 0.702877i
\(755\) −7.08300 + 14.2550i −0.257777 + 0.518791i
\(756\) 13.9968 + 9.37359i 0.509061 + 0.340914i
\(757\) −1.82125 0.488003i −0.0661945 0.0177368i 0.225570 0.974227i \(-0.427576\pi\)
−0.291764 + 0.956490i \(0.594242\pi\)
\(758\) 0.510961 + 1.90693i 0.0185589 + 0.0692629i
\(759\) 10.8184 + 4.21140i 0.392684 + 0.152864i
\(760\) −2.10452 + 10.4168i −0.0763390 + 0.377856i
\(761\) 41.9798 + 24.2370i 1.52177 + 0.878592i 0.999670 + 0.0257053i \(0.00818316\pi\)
0.522096 + 0.852887i \(0.325150\pi\)
\(762\) −11.6973 + 5.14208i −0.423749 + 0.186278i
\(763\) −24.6920 + 6.61620i −0.893910 + 0.239522i
\(764\) −10.6748 18.4894i −0.386202 0.668922i
\(765\) −39.3925 + 4.16688i −1.42424 + 0.150654i
\(766\) 21.7123 0.784498
\(767\) 0.410061 + 0.168202i 0.0148064 + 0.00607344i
\(768\) 1.58561 0.697025i 0.0572157 0.0251517i
\(769\) −0.388615 + 0.224367i −0.0140138 + 0.00809087i −0.506991 0.861952i \(-0.669242\pi\)
0.492977 + 0.870042i \(0.335909\pi\)
\(770\) 1.15081 + 18.4036i 0.0414723 + 0.663218i
\(771\) −4.52246 + 3.62706i −0.162872 + 0.130626i
\(772\) −3.39988 + 3.39988i −0.122365 + 0.122365i
\(773\) −2.08641 7.78660i −0.0750431 0.280065i