Properties

Label 630.2.t.b.551.6
Level 630
Weight 2
Character 630.551
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 551.6
Character \(\chi\) \(=\) 630.551
Dual form 630.2.t.b.311.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(1.65157 - 0.521832i) q^{3} +(0.500000 - 0.866025i) q^{4} -1.00000 q^{5} +(-1.16939 + 1.27771i) q^{6} +(-2.02958 - 1.69729i) q^{7} +1.00000i q^{8} +(2.45538 - 1.72369i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(1.65157 - 0.521832i) q^{3} +(0.500000 - 0.866025i) q^{4} -1.00000 q^{5} +(-1.16939 + 1.27771i) q^{6} +(-2.02958 - 1.69729i) q^{7} +1.00000i q^{8} +(2.45538 - 1.72369i) q^{9} +(0.866025 - 0.500000i) q^{10} -5.51168i q^{11} +(0.373866 - 1.69122i) q^{12} +(-5.67516 + 3.27655i) q^{13} +(2.60632 + 0.455105i) q^{14} +(-1.65157 + 0.521832i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.26666 + 2.19392i) q^{17} +(-1.26458 + 2.72045i) q^{18} +(-6.11706 - 3.53169i) q^{19} +(-0.500000 + 0.866025i) q^{20} +(-4.23770 - 1.74410i) q^{21} +(2.75584 + 4.77326i) q^{22} -4.21229i q^{23} +(0.521832 + 1.65157i) q^{24} +1.00000 q^{25} +(3.27655 - 5.67516i) q^{26} +(3.15576 - 4.12809i) q^{27} +(-2.48469 + 0.909025i) q^{28} +(6.29071 + 3.63194i) q^{29} +(1.16939 - 1.27771i) q^{30} +(-5.33881 - 3.08236i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-2.87617 - 9.10294i) q^{33} +(-2.19392 - 1.26666i) q^{34} +(2.02958 + 1.69729i) q^{35} +(-0.265066 - 2.98827i) q^{36} +(-1.00755 + 1.74514i) q^{37} +7.06338 q^{38} +(-7.66312 + 8.37294i) q^{39} -1.00000i q^{40} +(-2.97356 - 5.15035i) q^{41} +(4.54201 - 0.608421i) q^{42} +(2.74829 - 4.76018i) q^{43} +(-4.77326 - 2.75584i) q^{44} +(-2.45538 + 1.72369i) q^{45} +(2.10615 + 3.64795i) q^{46} +(2.69332 + 4.66497i) q^{47} +(-1.27771 - 1.16939i) q^{48} +(1.23841 + 6.88958i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(3.23684 + 2.96244i) q^{51} +6.55311i q^{52} +(2.56943 - 1.48346i) q^{53} +(-0.668926 + 5.15292i) q^{54} +5.51168i q^{55} +(1.69729 - 2.02958i) q^{56} +(-11.9457 - 2.64076i) q^{57} -7.26388 q^{58} +(-1.95873 + 3.39263i) q^{59} +(-0.373866 + 1.69122i) q^{60} +(0.512178 - 0.295706i) q^{61} +6.16472 q^{62} +(-7.90900 - 0.669129i) q^{63} -1.00000 q^{64} +(5.67516 - 3.27655i) q^{65} +(7.04231 + 6.44529i) q^{66} +(1.48818 - 2.57760i) q^{67} +2.53332 q^{68} +(-2.19811 - 6.95691i) q^{69} +(-2.60632 - 0.455105i) q^{70} -14.8483i q^{71} +(1.72369 + 2.45538i) q^{72} +(9.76683 - 5.63888i) q^{73} -2.01511i q^{74} +(1.65157 - 0.521832i) q^{75} +(-6.11706 + 3.53169i) q^{76} +(-9.35492 + 11.1864i) q^{77} +(2.44998 - 11.0827i) q^{78} +(-0.619617 - 1.07321i) q^{79} +(0.500000 + 0.866025i) q^{80} +(3.05780 - 8.46462i) q^{81} +(5.15035 + 2.97356i) q^{82} +(-4.32347 + 7.48846i) q^{83} +(-3.62928 + 2.79791i) q^{84} +(-1.26666 - 2.19392i) q^{85} +5.49658i q^{86} +(12.2848 + 2.71572i) q^{87} +5.51168 q^{88} +(7.84313 - 13.5847i) q^{89} +(1.26458 - 2.72045i) q^{90} +(17.0795 + 2.98235i) q^{91} +(-3.64795 - 2.10615i) q^{92} +(-10.4259 - 2.30478i) q^{93} +(-4.66497 - 2.69332i) q^{94} +(6.11706 + 3.53169i) q^{95} +(1.69122 + 0.373866i) q^{96} +(0.197336 + 0.113932i) q^{97} +(-4.51729 - 5.34735i) q^{98} +(-9.50042 - 13.5333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 1.65157 0.521832i 0.953536 0.301280i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −1.00000 −0.447214
\(6\) −1.16939 + 1.27771i −0.477400 + 0.521621i
\(7\) −2.02958 1.69729i −0.767110 0.641515i
\(8\) 1.00000i 0.353553i
\(9\) 2.45538 1.72369i 0.818461 0.574563i
\(10\) 0.866025 0.500000i 0.273861 0.158114i
\(11\) 5.51168i 1.66183i −0.556396 0.830917i \(-0.687816\pi\)
0.556396 0.830917i \(-0.312184\pi\)
\(12\) 0.373866 1.69122i 0.107926 0.488213i
\(13\) −5.67516 + 3.27655i −1.57400 + 0.908752i −0.578334 + 0.815800i \(0.696297\pi\)
−0.995671 + 0.0929524i \(0.970370\pi\)
\(14\) 2.60632 + 0.455105i 0.696567 + 0.121632i
\(15\) −1.65157 + 0.521832i −0.426434 + 0.134737i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.26666 + 2.19392i 0.307211 + 0.532104i 0.977751 0.209769i \(-0.0672711\pi\)
−0.670541 + 0.741873i \(0.733938\pi\)
\(18\) −1.26458 + 2.72045i −0.298064 + 0.641216i
\(19\) −6.11706 3.53169i −1.40335 0.810225i −0.408616 0.912707i \(-0.633988\pi\)
−0.994735 + 0.102482i \(0.967322\pi\)
\(20\) −0.500000 + 0.866025i −0.111803 + 0.193649i
\(21\) −4.23770 1.74410i −0.924743 0.380593i
\(22\) 2.75584 + 4.77326i 0.587547 + 1.01766i
\(23\) 4.21229i 0.878324i −0.898408 0.439162i \(-0.855275\pi\)
0.898408 0.439162i \(-0.144725\pi\)
\(24\) 0.521832 + 1.65157i 0.106519 + 0.337126i
\(25\) 1.00000 0.200000
\(26\) 3.27655 5.67516i 0.642585 1.11299i
\(27\) 3.15576 4.12809i 0.607327 0.794452i
\(28\) −2.48469 + 0.909025i −0.469562 + 0.171790i
\(29\) 6.29071 + 3.63194i 1.16815 + 0.674435i 0.953245 0.302199i \(-0.0977208\pi\)
0.214910 + 0.976634i \(0.431054\pi\)
\(30\) 1.16939 1.27771i 0.213500 0.233276i
\(31\) −5.33881 3.08236i −0.958878 0.553608i −0.0630503 0.998010i \(-0.520083\pi\)
−0.895827 + 0.444402i \(0.853416\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) −2.87617 9.10294i −0.500678 1.58462i
\(34\) −2.19392 1.26666i −0.376255 0.217231i
\(35\) 2.02958 + 1.69729i 0.343062 + 0.286894i
\(36\) −0.265066 2.98827i −0.0441777 0.498045i
\(37\) −1.00755 + 1.74514i −0.165641 + 0.286899i −0.936883 0.349644i \(-0.886303\pi\)
0.771242 + 0.636542i \(0.219636\pi\)
\(38\) 7.06338 1.14583
\(39\) −7.66312 + 8.37294i −1.22708 + 1.34074i
\(40\) 1.00000i 0.158114i
\(41\) −2.97356 5.15035i −0.464392 0.804350i 0.534782 0.844990i \(-0.320394\pi\)
−0.999174 + 0.0406401i \(0.987060\pi\)
\(42\) 4.54201 0.608421i 0.700847 0.0938814i
\(43\) 2.74829 4.76018i 0.419110 0.725920i −0.576740 0.816928i \(-0.695675\pi\)
0.995850 + 0.0910078i \(0.0290088\pi\)
\(44\) −4.77326 2.75584i −0.719595 0.415459i
\(45\) −2.45538 + 1.72369i −0.366027 + 0.256952i
\(46\) 2.10615 + 3.64795i 0.310534 + 0.537861i
\(47\) 2.69332 + 4.66497i 0.392861 + 0.680456i 0.992826 0.119571i \(-0.0381518\pi\)
−0.599964 + 0.800027i \(0.704819\pi\)
\(48\) −1.27771 1.16939i −0.184421 0.168787i
\(49\) 1.23841 + 6.88958i 0.176916 + 0.984226i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 3.23684 + 2.96244i 0.453249 + 0.414824i
\(52\) 6.55311i 0.908752i
\(53\) 2.56943 1.48346i 0.352938 0.203769i −0.313040 0.949740i \(-0.601348\pi\)
0.665979 + 0.745971i \(0.268014\pi\)
\(54\) −0.668926 + 5.15292i −0.0910293 + 0.701223i
\(55\) 5.51168i 0.743195i
\(56\) 1.69729 2.02958i 0.226810 0.271214i
\(57\) −11.9457 2.64076i −1.58225 0.349777i
\(58\) −7.26388 −0.953795
\(59\) −1.95873 + 3.39263i −0.255005 + 0.441682i −0.964897 0.262629i \(-0.915411\pi\)
0.709892 + 0.704311i \(0.248744\pi\)
\(60\) −0.373866 + 1.69122i −0.0482659 + 0.218336i
\(61\) 0.512178 0.295706i 0.0655776 0.0378613i −0.466853 0.884335i \(-0.654612\pi\)
0.532430 + 0.846474i \(0.321279\pi\)
\(62\) 6.16472 0.782920
\(63\) −7.90900 0.669129i −0.996440 0.0843023i
\(64\) −1.00000 −0.125000
\(65\) 5.67516 3.27655i 0.703916 0.406406i
\(66\) 7.04231 + 6.44529i 0.866848 + 0.793360i
\(67\) 1.48818 2.57760i 0.181810 0.314904i −0.760687 0.649119i \(-0.775138\pi\)
0.942497 + 0.334215i \(0.108471\pi\)
\(68\) 2.53332 0.307211
\(69\) −2.19811 6.95691i −0.264622 0.837513i
\(70\) −2.60632 0.455105i −0.311514 0.0543955i
\(71\) 14.8483i 1.76217i −0.472960 0.881084i \(-0.656815\pi\)
0.472960 0.881084i \(-0.343185\pi\)
\(72\) 1.72369 + 2.45538i 0.203139 + 0.289370i
\(73\) 9.76683 5.63888i 1.14312 0.659981i 0.195919 0.980620i \(-0.437231\pi\)
0.947201 + 0.320639i \(0.103898\pi\)
\(74\) 2.01511i 0.234252i
\(75\) 1.65157 0.521832i 0.190707 0.0602560i
\(76\) −6.11706 + 3.53169i −0.701675 + 0.405112i
\(77\) −9.35492 + 11.1864i −1.06609 + 1.27481i
\(78\) 2.44998 11.0827i 0.277406 1.25487i
\(79\) −0.619617 1.07321i −0.0697124 0.120745i 0.829062 0.559156i \(-0.188875\pi\)
−0.898775 + 0.438411i \(0.855541\pi\)
\(80\) 0.500000 + 0.866025i 0.0559017 + 0.0968246i
\(81\) 3.05780 8.46462i 0.339756 0.940514i
\(82\) 5.15035 + 2.97356i 0.568761 + 0.328374i
\(83\) −4.32347 + 7.48846i −0.474562 + 0.821966i −0.999576 0.0291281i \(-0.990727\pi\)
0.525014 + 0.851094i \(0.324060\pi\)
\(84\) −3.62928 + 2.79791i −0.395987 + 0.305277i
\(85\) −1.26666 2.19392i −0.137389 0.237964i
\(86\) 5.49658i 0.592711i
\(87\) 12.2848 + 2.71572i 1.31707 + 0.291156i
\(88\) 5.51168 0.587547
\(89\) 7.84313 13.5847i 0.831371 1.43998i −0.0655810 0.997847i \(-0.520890\pi\)
0.896952 0.442129i \(-0.145777\pi\)
\(90\) 1.26458 2.72045i 0.133298 0.286760i
\(91\) 17.0795 + 2.98235i 1.79041 + 0.312635i
\(92\) −3.64795 2.10615i −0.380326 0.219581i
\(93\) −10.4259 2.30478i −1.08112 0.238995i
\(94\) −4.66497 2.69332i −0.481155 0.277795i
\(95\) 6.11706 + 3.53169i 0.627597 + 0.362344i
\(96\) 1.69122 + 0.373866i 0.172609 + 0.0381575i
\(97\) 0.197336 + 0.113932i 0.0200365 + 0.0115681i 0.509985 0.860183i \(-0.329651\pi\)
−0.489948 + 0.871751i \(0.662984\pi\)
\(98\) −4.51729 5.34735i −0.456315 0.540164i
\(99\) −9.50042 13.5333i −0.954828 1.36015i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) 2.76769 0.275396 0.137698 0.990474i \(-0.456030\pi\)
0.137698 + 0.990474i \(0.456030\pi\)
\(102\) −4.28441 0.947123i −0.424219 0.0937792i
\(103\) 3.30139i 0.325295i −0.986684 0.162648i \(-0.947997\pi\)
0.986684 0.162648i \(-0.0520034\pi\)
\(104\) −3.27655 5.67516i −0.321292 0.556495i
\(105\) 4.23770 + 1.74410i 0.413558 + 0.170206i
\(106\) −1.48346 + 2.56943i −0.144086 + 0.249565i
\(107\) 4.81501 + 2.77994i 0.465484 + 0.268747i 0.714347 0.699791i \(-0.246724\pi\)
−0.248863 + 0.968539i \(0.580057\pi\)
\(108\) −1.99715 4.79702i −0.192176 0.461593i
\(109\) 9.12223 + 15.8002i 0.873751 + 1.51338i 0.858087 + 0.513504i \(0.171653\pi\)
0.0156644 + 0.999877i \(0.495014\pi\)
\(110\) −2.75584 4.77326i −0.262759 0.455112i
\(111\) −0.753381 + 3.40799i −0.0715078 + 0.323472i
\(112\) −0.455105 + 2.60632i −0.0430034 + 0.246274i
\(113\) 1.41503 0.816970i 0.133115 0.0768540i −0.431964 0.901891i \(-0.642179\pi\)
0.565079 + 0.825037i \(0.308846\pi\)
\(114\) 11.6657 3.68590i 1.09259 0.345216i
\(115\) 4.21229i 0.392798i
\(116\) 6.29071 3.63194i 0.584077 0.337217i
\(117\) −8.28692 + 17.8274i −0.766126 + 1.64814i
\(118\) 3.91747i 0.360632i
\(119\) 1.15293 6.60264i 0.105689 0.605263i
\(120\) −0.521832 1.65157i −0.0476366 0.150767i
\(121\) −19.3786 −1.76169
\(122\) −0.295706 + 0.512178i −0.0267720 + 0.0463704i
\(123\) −7.59866 6.95448i −0.685148 0.627064i
\(124\) −5.33881 + 3.08236i −0.479439 + 0.276804i
\(125\) −1.00000 −0.0894427
\(126\) 7.18396 3.37502i 0.639998 0.300670i
\(127\) −11.2316 −0.996643 −0.498322 0.866992i \(-0.666050\pi\)
−0.498322 + 0.866992i \(0.666050\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) 2.05498 9.29592i 0.180931 0.818460i
\(130\) −3.27655 + 5.67516i −0.287373 + 0.497744i
\(131\) −4.16723 −0.364092 −0.182046 0.983290i \(-0.558272\pi\)
−0.182046 + 0.983290i \(0.558272\pi\)
\(132\) −9.32146 2.06063i −0.811329 0.179355i
\(133\) 6.42079 + 17.5503i 0.556753 + 1.52180i
\(134\) 2.97636i 0.257118i
\(135\) −3.15576 + 4.12809i −0.271605 + 0.355290i
\(136\) −2.19392 + 1.26666i −0.188127 + 0.108615i
\(137\) 9.27120i 0.792092i 0.918231 + 0.396046i \(0.129618\pi\)
−0.918231 + 0.396046i \(0.870382\pi\)
\(138\) 5.38208 + 4.92580i 0.458153 + 0.419312i
\(139\) 3.08961 1.78379i 0.262057 0.151299i −0.363216 0.931705i \(-0.618321\pi\)
0.625273 + 0.780406i \(0.284988\pi\)
\(140\) 2.48469 0.909025i 0.209994 0.0768266i
\(141\) 6.88255 + 6.29907i 0.579615 + 0.530478i
\(142\) 7.42414 + 12.8590i 0.623020 + 1.07910i
\(143\) 18.0593 + 31.2796i 1.51020 + 2.61574i
\(144\) −2.72045 1.26458i −0.226704 0.105382i
\(145\) −6.29071 3.63194i −0.522415 0.301616i
\(146\) −5.63888 + 9.76683i −0.466677 + 0.808308i
\(147\) 5.64053 + 10.7324i 0.465223 + 0.885193i
\(148\) 1.00755 + 1.74514i 0.0828205 + 0.143449i
\(149\) 10.3904i 0.851216i 0.904908 + 0.425608i \(0.139940\pi\)
−0.904908 + 0.425608i \(0.860060\pi\)
\(150\) −1.16939 + 1.27771i −0.0954801 + 0.104324i
\(151\) −8.76778 −0.713512 −0.356756 0.934198i \(-0.616117\pi\)
−0.356756 + 0.934198i \(0.616117\pi\)
\(152\) 3.53169 6.11706i 0.286458 0.496159i
\(153\) 6.89177 + 3.20359i 0.557167 + 0.258995i
\(154\) 2.50839 14.3652i 0.202132 1.15758i
\(155\) 5.33881 + 3.08236i 0.428823 + 0.247581i
\(156\) 3.41962 + 10.8229i 0.273789 + 0.866528i
\(157\) 10.3942 + 6.00109i 0.829547 + 0.478939i 0.853697 0.520769i \(-0.174355\pi\)
−0.0241507 + 0.999708i \(0.507688\pi\)
\(158\) 1.07321 + 0.619617i 0.0853799 + 0.0492941i
\(159\) 3.46948 3.79085i 0.275148 0.300634i
\(160\) −0.866025 0.500000i −0.0684653 0.0395285i
\(161\) −7.14949 + 8.54920i −0.563458 + 0.673771i
\(162\) 1.58418 + 8.85948i 0.124465 + 0.696066i
\(163\) −5.40261 + 9.35760i −0.423165 + 0.732944i −0.996247 0.0865542i \(-0.972414\pi\)
0.573082 + 0.819498i \(0.305748\pi\)
\(164\) −5.94711 −0.464392
\(165\) 2.87617 + 9.10294i 0.223910 + 0.708663i
\(166\) 8.64693i 0.671132i
\(167\) 10.7866 + 18.6830i 0.834695 + 1.44573i 0.894279 + 0.447510i \(0.147689\pi\)
−0.0595841 + 0.998223i \(0.518977\pi\)
\(168\) 1.74410 4.23770i 0.134560 0.326946i
\(169\) 14.9716 25.9316i 1.15166 1.99474i
\(170\) 2.19392 + 1.26666i 0.168266 + 0.0971485i
\(171\) −21.1073 + 1.87226i −1.61411 + 0.143176i
\(172\) −2.74829 4.76018i −0.209555 0.362960i
\(173\) −0.639733 1.10805i −0.0486380 0.0842435i 0.840681 0.541530i \(-0.182155\pi\)
−0.889319 + 0.457286i \(0.848821\pi\)
\(174\) −11.9968 + 3.79053i −0.909477 + 0.287359i
\(175\) −2.02958 1.69729i −0.153422 0.128303i
\(176\) −4.77326 + 2.75584i −0.359798 + 0.207729i
\(177\) −1.46461 + 6.62530i −0.110087 + 0.497988i
\(178\) 15.6863i 1.17574i
\(179\) 10.2660 5.92708i 0.767317 0.443010i −0.0645999 0.997911i \(-0.520577\pi\)
0.831917 + 0.554901i \(0.187244\pi\)
\(180\) 0.265066 + 2.98827i 0.0197569 + 0.222732i
\(181\) 13.3188i 0.989978i −0.868899 0.494989i \(-0.835172\pi\)
0.868899 0.494989i \(-0.164828\pi\)
\(182\) −16.2824 + 5.95694i −1.20693 + 0.441558i
\(183\) 0.691590 0.755651i 0.0511238 0.0558593i
\(184\) 4.21229 0.310534
\(185\) 1.00755 1.74514i 0.0740769 0.128305i
\(186\) 10.1815 3.21695i 0.746543 0.235878i
\(187\) 12.0922 6.98143i 0.884269 0.510533i
\(188\) 5.38665 0.392861
\(189\) −13.4115 + 3.02206i −0.975540 + 0.219822i
\(190\) −7.06338 −0.512431
\(191\) 7.09826 4.09818i 0.513612 0.296534i −0.220705 0.975341i \(-0.570836\pi\)
0.734317 + 0.678806i \(0.237502\pi\)
\(192\) −1.65157 + 0.521832i −0.119192 + 0.0376600i
\(193\) −1.49743 + 2.59363i −0.107787 + 0.186693i −0.914874 0.403740i \(-0.867710\pi\)
0.807086 + 0.590434i \(0.201043\pi\)
\(194\) −0.227864 −0.0163597
\(195\) 7.66312 8.37294i 0.548767 0.599599i
\(196\) 6.58576 + 2.37229i 0.470411 + 0.169450i
\(197\) 11.9427i 0.850883i −0.904986 0.425441i \(-0.860119\pi\)
0.904986 0.425441i \(-0.139881\pi\)
\(198\) 14.9942 + 6.96996i 1.06559 + 0.495333i
\(199\) −2.73876 + 1.58122i −0.194145 + 0.112090i −0.593922 0.804523i \(-0.702421\pi\)
0.399776 + 0.916613i \(0.369088\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) 1.11276 5.03367i 0.0784879 0.355048i
\(202\) −2.39689 + 1.38385i −0.168645 + 0.0973670i
\(203\) −6.60305 18.0485i −0.463443 1.26676i
\(204\) 4.18397 1.32197i 0.292936 0.0925564i
\(205\) 2.97356 + 5.15035i 0.207682 + 0.359716i
\(206\) 1.65069 + 2.85909i 0.115009 + 0.199202i
\(207\) −7.26068 10.3428i −0.504652 0.718874i
\(208\) 5.67516 + 3.27655i 0.393501 + 0.227188i
\(209\) −19.4655 + 33.7153i −1.34646 + 2.33214i
\(210\) −4.54201 + 0.608421i −0.313428 + 0.0419850i
\(211\) 6.04072 + 10.4628i 0.415860 + 0.720291i 0.995518 0.0945689i \(-0.0301473\pi\)
−0.579658 + 0.814860i \(0.696814\pi\)
\(212\) 2.96692i 0.203769i
\(213\) −7.74832 24.5230i −0.530906 1.68029i
\(214\) −5.55989 −0.380066
\(215\) −2.74829 + 4.76018i −0.187432 + 0.324641i
\(216\) 4.12809 + 3.15576i 0.280881 + 0.214723i
\(217\) 5.60389 + 15.3174i 0.380417 + 1.03981i
\(218\) −15.8002 9.12223i −1.07012 0.617835i
\(219\) 13.1881 14.4097i 0.891167 0.973715i
\(220\) 4.77326 + 2.75584i 0.321813 + 0.185799i
\(221\) −14.3770 8.30057i −0.967102 0.558357i
\(222\) −1.05155 3.32810i −0.0705754 0.223367i
\(223\) −13.6952 7.90695i −0.917101 0.529488i −0.0343917 0.999408i \(-0.510949\pi\)
−0.882709 + 0.469920i \(0.844283\pi\)
\(224\) −0.909025 2.48469i −0.0607368 0.166015i
\(225\) 2.45538 1.72369i 0.163692 0.114913i
\(226\) −0.816970 + 1.41503i −0.0543440 + 0.0941266i
\(227\) 2.12883 0.141296 0.0706478 0.997501i \(-0.477493\pi\)
0.0706478 + 0.997501i \(0.477493\pi\)
\(228\) −8.25982 + 9.02492i −0.547020 + 0.597690i
\(229\) 20.3062i 1.34187i 0.741517 + 0.670934i \(0.234107\pi\)
−0.741517 + 0.670934i \(0.765893\pi\)
\(230\) −2.10615 3.64795i −0.138875 0.240539i
\(231\) −9.61290 + 23.3569i −0.632482 + 1.53677i
\(232\) −3.63194 + 6.29071i −0.238449 + 0.413005i
\(233\) −11.1623 6.44458i −0.731269 0.422198i 0.0876172 0.996154i \(-0.472075\pi\)
−0.818886 + 0.573956i \(0.805408\pi\)
\(234\) −1.73701 19.5824i −0.113552 1.28014i
\(235\) −2.69332 4.66497i −0.175693 0.304309i
\(236\) 1.95873 + 3.39263i 0.127503 + 0.220841i
\(237\) −1.58338 1.44915i −0.102851 0.0941321i
\(238\) 2.30285 + 6.29452i 0.149272 + 0.408013i
\(239\) −0.970335 + 0.560223i −0.0627658 + 0.0362378i −0.531054 0.847338i \(-0.678204\pi\)
0.468289 + 0.883576i \(0.344871\pi\)
\(240\) 1.27771 + 1.16939i 0.0824756 + 0.0754836i
\(241\) 1.45223i 0.0935465i 0.998906 + 0.0467732i \(0.0148938\pi\)
−0.998906 + 0.0467732i \(0.985106\pi\)
\(242\) 16.7824 9.68931i 1.07881 0.622853i
\(243\) 0.633064 15.5756i 0.0406111 0.999175i
\(244\) 0.591412i 0.0378613i
\(245\) −1.23841 6.88958i −0.0791192 0.440159i
\(246\) 10.0579 + 2.22342i 0.641267 + 0.141760i
\(247\) 46.2871 2.94517
\(248\) 3.08236 5.33881i 0.195730 0.339014i
\(249\) −3.23279 + 14.6239i −0.204870 + 0.926750i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) 14.7760 0.932653 0.466327 0.884613i \(-0.345577\pi\)
0.466327 + 0.884613i \(0.345577\pi\)
\(252\) −4.53398 + 6.51483i −0.285614 + 0.410396i
\(253\) −23.2168 −1.45963
\(254\) 9.72685 5.61580i 0.610317 0.352367i
\(255\) −3.23684 2.96244i −0.202699 0.185515i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −17.7853 −1.10942 −0.554708 0.832045i \(-0.687170\pi\)
−0.554708 + 0.832045i \(0.687170\pi\)
\(258\) 2.86829 + 9.07799i 0.178572 + 0.565171i
\(259\) 5.00692 1.83179i 0.311115 0.113822i
\(260\) 6.55311i 0.406406i
\(261\) 21.7064 1.92541i 1.34359 0.119180i
\(262\) 3.60893 2.08361i 0.222960 0.128726i
\(263\) 7.71730i 0.475869i 0.971281 + 0.237935i \(0.0764704\pi\)
−0.971281 + 0.237935i \(0.923530\pi\)
\(264\) 9.10294 2.87617i 0.560247 0.177016i
\(265\) −2.56943 + 1.48346i −0.157839 + 0.0911282i
\(266\) −14.3357 11.9886i −0.878979 0.735068i
\(267\) 5.86456 26.5289i 0.358905 1.62354i
\(268\) −1.48818 2.57760i −0.0909049 0.157452i
\(269\) −11.2244 19.4412i −0.684361 1.18535i −0.973637 0.228103i \(-0.926748\pi\)
0.289276 0.957246i \(-0.406586\pi\)
\(270\) 0.668926 5.15292i 0.0407095 0.313596i
\(271\) −0.353310 0.203983i −0.0214620 0.0123911i 0.489231 0.872154i \(-0.337278\pi\)
−0.510693 + 0.859763i \(0.670611\pi\)
\(272\) 1.26666 2.19392i 0.0768026 0.133026i
\(273\) 29.7642 3.98705i 1.80141 0.241307i
\(274\) −4.63560 8.02909i −0.280047 0.485055i
\(275\) 5.51168i 0.332367i
\(276\) −7.12392 1.57483i −0.428809 0.0947939i
\(277\) 25.7859 1.54932 0.774662 0.632376i \(-0.217920\pi\)
0.774662 + 0.632376i \(0.217920\pi\)
\(278\) −1.78379 + 3.08961i −0.106984 + 0.185302i
\(279\) −18.4218 + 1.63406i −1.10289 + 0.0978287i
\(280\) −1.69729 + 2.02958i −0.101432 + 0.121291i
\(281\) 11.9347 + 6.89052i 0.711966 + 0.411054i 0.811788 0.583952i \(-0.198494\pi\)
−0.0998226 + 0.995005i \(0.531828\pi\)
\(282\) −9.11000 2.01388i −0.542493 0.119925i
\(283\) 2.84397 + 1.64197i 0.169056 + 0.0976048i 0.582141 0.813088i \(-0.302215\pi\)
−0.413084 + 0.910693i \(0.635549\pi\)
\(284\) −12.8590 7.42414i −0.763041 0.440542i
\(285\) 11.9457 + 2.64076i 0.707604 + 0.156425i
\(286\) −31.2796 18.0593i −1.84960 1.06787i
\(287\) −2.70656 + 15.5001i −0.159763 + 0.914939i
\(288\) 2.98827 0.265066i 0.176085 0.0156192i
\(289\) 5.29114 9.16452i 0.311243 0.539089i
\(290\) 7.26388 0.426550
\(291\) 0.385369 + 0.0851907i 0.0225907 + 0.00499397i
\(292\) 11.2778i 0.659981i
\(293\) −5.22757 9.05442i −0.305398 0.528965i 0.671952 0.740595i \(-0.265456\pi\)
−0.977350 + 0.211630i \(0.932123\pi\)
\(294\) −10.2510 6.47426i −0.597853 0.377587i
\(295\) 1.95873 3.39263i 0.114042 0.197526i
\(296\) −1.74514 1.00755i −0.101434 0.0585629i
\(297\) −22.7527 17.3936i −1.32025 1.00928i
\(298\) −5.19521 8.99836i −0.300950 0.521261i
\(299\) 13.8018 + 23.9054i 0.798179 + 1.38249i
\(300\) 0.373866 1.69122i 0.0215852 0.0976426i
\(301\) −13.6573 + 4.99653i −0.787192 + 0.287995i
\(302\) 7.59312 4.38389i 0.436935 0.252264i
\(303\) 4.57104 1.44427i 0.262599 0.0829712i
\(304\) 7.06338i 0.405112i
\(305\) −0.512178 + 0.295706i −0.0293272 + 0.0169321i
\(306\) −7.57025 + 0.671499i −0.432762 + 0.0383870i
\(307\) 32.9003i 1.87772i −0.344297 0.938861i \(-0.611883\pi\)
0.344297 0.938861i \(-0.388117\pi\)
\(308\) 5.01026 + 13.6948i 0.285486 + 0.780334i
\(309\) −1.72277 5.45248i −0.0980050 0.310181i
\(310\) −6.16472 −0.350133
\(311\) 12.9216 22.3808i 0.732715 1.26910i −0.223004 0.974818i \(-0.571586\pi\)
0.955719 0.294282i \(-0.0950804\pi\)
\(312\) −8.37294 7.66312i −0.474025 0.433839i
\(313\) −16.2102 + 9.35899i −0.916257 + 0.529002i −0.882439 0.470426i \(-0.844100\pi\)
−0.0338183 + 0.999428i \(0.510767\pi\)
\(314\) −12.0022 −0.677322
\(315\) 7.90900 + 0.669129i 0.445622 + 0.0377011i
\(316\) −1.23923 −0.0697124
\(317\) −15.9904 + 9.23209i −0.898113 + 0.518526i −0.876587 0.481243i \(-0.840186\pi\)
−0.0215255 + 0.999768i \(0.506852\pi\)
\(318\) −1.10923 + 5.01771i −0.0622026 + 0.281379i
\(319\) 20.0181 34.6724i 1.12080 1.94128i
\(320\) 1.00000 0.0559017
\(321\) 9.40299 + 2.07865i 0.524824 + 0.116019i
\(322\) 1.91704 10.9786i 0.106832 0.611812i
\(323\) 17.8938i 0.995638i
\(324\) −5.80168 6.88044i −0.322315 0.382247i
\(325\) −5.67516 + 3.27655i −0.314801 + 0.181750i
\(326\) 10.8052i 0.598446i
\(327\) 23.3111 + 21.3348i 1.28910 + 1.17982i
\(328\) 5.15035 2.97356i 0.284381 0.164187i
\(329\) 2.45149 14.0393i 0.135155 0.774011i
\(330\) −7.04231 6.44529i −0.387666 0.354802i
\(331\) −11.7514 20.3540i −0.645913 1.11875i −0.984090 0.177672i \(-0.943143\pi\)
0.338176 0.941083i \(-0.390190\pi\)
\(332\) 4.32347 + 7.48846i 0.237281 + 0.410983i
\(333\) 0.534138 + 6.02169i 0.0292706 + 0.329986i
\(334\) −18.6830 10.7866i −1.02229 0.590218i
\(335\) −1.48818 + 2.57760i −0.0813078 + 0.140829i
\(336\) 0.608421 + 4.54201i 0.0331921 + 0.247787i
\(337\) −8.75258 15.1599i −0.476783 0.825813i 0.522863 0.852417i \(-0.324864\pi\)
−0.999646 + 0.0266040i \(0.991531\pi\)
\(338\) 29.9432i 1.62869i
\(339\) 1.91071 2.08769i 0.103775 0.113388i
\(340\) −2.53332 −0.137389
\(341\) −16.9890 + 29.4258i −0.920005 + 1.59350i
\(342\) 17.3433 12.1751i 0.937818 0.658352i
\(343\) 9.18016 16.0849i 0.495682 0.868504i
\(344\) 4.76018 + 2.74829i 0.256651 + 0.148178i
\(345\) 2.19811 + 6.95691i 0.118342 + 0.374547i
\(346\) 1.10805 + 0.639733i 0.0595691 + 0.0343923i
\(347\) −8.88116 5.12754i −0.476766 0.275261i 0.242302 0.970201i \(-0.422098\pi\)
−0.719068 + 0.694940i \(0.755431\pi\)
\(348\) 8.49429 9.28111i 0.455342 0.497520i
\(349\) 0.861681 + 0.497492i 0.0461247 + 0.0266301i 0.522885 0.852403i \(-0.324856\pi\)
−0.476760 + 0.879033i \(0.658189\pi\)
\(350\) 2.60632 + 0.455105i 0.139313 + 0.0243264i
\(351\) −4.38354 + 33.7676i −0.233976 + 1.80238i
\(352\) 2.75584 4.77326i 0.146887 0.254415i
\(353\) 13.3768 0.711976 0.355988 0.934491i \(-0.384144\pi\)
0.355988 + 0.934491i \(0.384144\pi\)
\(354\) −2.04426 6.46998i −0.108651 0.343876i
\(355\) 14.8483i 0.788065i
\(356\) −7.84313 13.5847i −0.415685 0.719988i
\(357\) −1.54133 11.5064i −0.0815756 0.608982i
\(358\) −5.92708 + 10.2660i −0.313256 + 0.542575i
\(359\) −14.3453 8.28227i −0.757116 0.437121i 0.0711432 0.997466i \(-0.477335\pi\)
−0.828259 + 0.560345i \(0.810669\pi\)
\(360\) −1.72369 2.45538i −0.0908463 0.129410i
\(361\) 15.4456 + 26.7526i 0.812929 + 1.40803i
\(362\) 6.65940 + 11.5344i 0.350010 + 0.606235i
\(363\) −32.0052 + 10.1124i −1.67984 + 0.530763i
\(364\) 11.1225 13.3001i 0.582979 0.697113i
\(365\) −9.76683 + 5.63888i −0.511219 + 0.295153i
\(366\) −0.221109 + 1.00021i −0.0115575 + 0.0522817i
\(367\) 11.4300i 0.596639i −0.954466 0.298319i \(-0.903574\pi\)
0.954466 0.298319i \(-0.0964260\pi\)
\(368\) −3.64795 + 2.10615i −0.190163 + 0.109791i
\(369\) −16.1788 7.52060i −0.842236 0.391507i
\(370\) 2.01511i 0.104761i
\(371\) −7.73273 1.35026i −0.401463 0.0701020i
\(372\) −7.20895 + 7.87670i −0.373766 + 0.408388i
\(373\) −23.5637 −1.22008 −0.610040 0.792371i \(-0.708847\pi\)
−0.610040 + 0.792371i \(0.708847\pi\)
\(374\) −6.98143 + 12.0922i −0.361001 + 0.625273i
\(375\) −1.65157 + 0.521832i −0.0852868 + 0.0269473i
\(376\) −4.66497 + 2.69332i −0.240578 + 0.138898i
\(377\) −47.6010 −2.45158
\(378\) 10.1036 9.32291i 0.519675 0.479519i
\(379\) 17.5149 0.899678 0.449839 0.893110i \(-0.351481\pi\)
0.449839 + 0.893110i \(0.351481\pi\)
\(380\) 6.11706 3.53169i 0.313799 0.181172i
\(381\) −18.5498 + 5.86101i −0.950335 + 0.300269i
\(382\) −4.09818 + 7.09826i −0.209681 + 0.363179i
\(383\) 19.9087 1.01729 0.508645 0.860977i \(-0.330147\pi\)
0.508645 + 0.860977i \(0.330147\pi\)
\(384\) 1.16939 1.27771i 0.0596750 0.0652027i
\(385\) 9.35492 11.1864i 0.476771 0.570112i
\(386\) 2.99486i 0.152435i
\(387\) −1.45696 16.4252i −0.0740614 0.834942i
\(388\) 0.197336 0.113932i 0.0100182 0.00578403i
\(389\) 34.4294i 1.74564i −0.488044 0.872819i \(-0.662289\pi\)
0.488044 0.872819i \(-0.337711\pi\)
\(390\) −2.44998 + 11.0827i −0.124060 + 0.561196i
\(391\) 9.24145 5.33555i 0.467360 0.269830i
\(392\) −6.88958 + 1.23841i −0.347976 + 0.0625493i
\(393\) −6.88248 + 2.17459i −0.347175 + 0.109694i
\(394\) 5.97136 + 10.3427i 0.300833 + 0.521057i
\(395\) 0.619617 + 1.07321i 0.0311763 + 0.0539990i
\(396\) −16.4704 + 1.46096i −0.827667 + 0.0734161i
\(397\) −10.0202 5.78514i −0.502897 0.290348i 0.227012 0.973892i \(-0.427104\pi\)
−0.729909 + 0.683544i \(0.760438\pi\)
\(398\) 1.58122 2.73876i 0.0792595 0.137282i
\(399\) 19.7627 + 25.6350i 0.989373 + 1.28335i
\(400\) −0.500000 0.866025i −0.0250000 0.0433013i
\(401\) 13.9512i 0.696687i −0.937367 0.348344i \(-0.886744\pi\)
0.937367 0.348344i \(-0.113256\pi\)
\(402\) 1.55316 + 4.91567i 0.0774645 + 0.245171i
\(403\) 40.3981 2.01237
\(404\) 1.38385 2.39689i 0.0688489 0.119250i
\(405\) −3.05780 + 8.46462i −0.151943 + 0.420611i
\(406\) 14.7427 + 12.3289i 0.731665 + 0.611874i
\(407\) 9.61863 + 5.55332i 0.476778 + 0.275268i
\(408\) −2.96244 + 3.23684i −0.146662 + 0.160248i
\(409\) −19.3854 11.1922i −0.958546 0.553417i −0.0628208 0.998025i \(-0.520010\pi\)
−0.895725 + 0.444608i \(0.853343\pi\)
\(410\) −5.15035 2.97356i −0.254358 0.146854i
\(411\) 4.83801 + 15.3121i 0.238641 + 0.755288i
\(412\) −2.85909 1.65069i −0.140857 0.0813239i
\(413\) 9.73368 3.56108i 0.478963 0.175229i
\(414\) 11.4593 + 5.32678i 0.563195 + 0.261797i
\(415\) 4.32347 7.48846i 0.212231 0.367594i
\(416\) −6.55311 −0.321292
\(417\) 4.17187 4.55831i 0.204297 0.223221i
\(418\) 38.9311i 1.90418i
\(419\) 19.0389 + 32.9764i 0.930112 + 1.61100i 0.783127 + 0.621862i \(0.213623\pi\)
0.146985 + 0.989139i \(0.453043\pi\)
\(420\) 3.62928 2.79791i 0.177091 0.136524i
\(421\) 17.9992 31.1755i 0.877227 1.51940i 0.0228566 0.999739i \(-0.492724\pi\)
0.854371 0.519664i \(-0.173943\pi\)
\(422\) −10.4628 6.04072i −0.509323 0.294058i
\(423\) 14.6541 + 6.81184i 0.712506 + 0.331203i
\(424\) 1.48346 + 2.56943i 0.0720432 + 0.124782i
\(425\) 1.26666 + 2.19392i 0.0614421 + 0.106421i
\(426\) 18.9717 + 17.3634i 0.919184 + 0.841259i
\(427\) −1.54141 0.269155i −0.0745939 0.0130253i
\(428\) 4.81501 2.77994i 0.232742 0.134374i
\(429\) 46.1490 + 42.2367i 2.22809 + 2.03921i
\(430\) 5.49658i 0.265068i
\(431\) 23.2779 13.4395i 1.12126 0.647359i 0.179537 0.983751i \(-0.442540\pi\)
0.941722 + 0.336392i \(0.109207\pi\)
\(432\) −5.15292 0.668926i −0.247920 0.0321837i
\(433\) 26.3834i 1.26790i −0.773372 0.633952i \(-0.781432\pi\)
0.773372 0.633952i \(-0.218568\pi\)
\(434\) −12.5118 10.4633i −0.600586 0.502255i
\(435\) −12.2848 2.71572i −0.589012 0.130209i
\(436\) 18.2445 0.873751
\(437\) −14.8765 + 25.7669i −0.711640 + 1.23260i
\(438\) −4.21637 + 19.0732i −0.201466 + 0.911351i
\(439\) −21.6627 + 12.5070i −1.03391 + 0.596926i −0.918101 0.396346i \(-0.870278\pi\)
−0.115804 + 0.993272i \(0.536945\pi\)
\(440\) −5.51168 −0.262759
\(441\) 14.9163 + 14.7819i 0.710298 + 0.703901i
\(442\) 16.6011 0.789635
\(443\) −8.24251 + 4.75881i −0.391613 + 0.226098i −0.682859 0.730550i \(-0.739264\pi\)
0.291246 + 0.956648i \(0.405930\pi\)
\(444\) 2.57472 + 2.35644i 0.122191 + 0.111832i
\(445\) −7.84313 + 13.5847i −0.371800 + 0.643977i
\(446\) 15.8139 0.748810
\(447\) 5.42205 + 17.1605i 0.256454 + 0.811665i
\(448\) 2.02958 + 1.69729i 0.0958888 + 0.0801894i
\(449\) 26.9921i 1.27383i 0.770932 + 0.636917i \(0.219791\pi\)
−0.770932 + 0.636917i \(0.780209\pi\)
\(450\) −1.26458 + 2.72045i −0.0596128 + 0.128243i
\(451\) −28.3871 + 16.3893i −1.33670 + 0.771742i
\(452\) 1.63394i 0.0768540i
\(453\) −14.4806 + 4.57531i −0.680359 + 0.214967i
\(454\) −1.84362 + 1.06442i −0.0865256 + 0.0499556i
\(455\) −17.0795 2.98235i −0.800697 0.139815i
\(456\) 2.64076 11.9457i 0.123665 0.559410i
\(457\) 2.38587 + 4.13245i 0.111606 + 0.193308i 0.916418 0.400222i \(-0.131067\pi\)
−0.804812 + 0.593530i \(0.797734\pi\)
\(458\) −10.1531 17.5856i −0.474422 0.821723i
\(459\) 13.0540 + 1.69461i 0.609309 + 0.0790974i
\(460\) 3.64795 + 2.10615i 0.170087 + 0.0981996i
\(461\) 11.0704 19.1745i 0.515600 0.893046i −0.484236 0.874938i \(-0.660902\pi\)
0.999836 0.0181082i \(-0.00576434\pi\)
\(462\) −3.35342 25.0341i −0.156015 1.16469i
\(463\) 10.8244 + 18.7483i 0.503051 + 0.871309i 0.999994 + 0.00352608i \(0.00112239\pi\)
−0.496943 + 0.867783i \(0.665544\pi\)
\(464\) 7.26388i 0.337217i
\(465\) 10.4259 + 2.30478i 0.483489 + 0.106882i
\(466\) 12.8892 0.597079
\(467\) −1.97116 + 3.41416i −0.0912146 + 0.157988i −0.908022 0.418921i \(-0.862408\pi\)
0.816808 + 0.576910i \(0.195742\pi\)
\(468\) 11.2955 + 16.0904i 0.522135 + 0.743778i
\(469\) −7.39531 + 2.70558i −0.341484 + 0.124932i
\(470\) 4.66497 + 2.69332i 0.215179 + 0.124234i
\(471\) 20.2983 + 4.48721i 0.935297 + 0.206760i
\(472\) −3.39263 1.95873i −0.156158 0.0901580i
\(473\) −26.2366 15.1477i −1.20636 0.696491i
\(474\) 2.09582 + 0.463308i 0.0962641 + 0.0212804i
\(475\) −6.11706 3.53169i −0.280670 0.162045i
\(476\) −5.14159 4.29978i −0.235664 0.197080i
\(477\) 3.75191 8.07135i 0.171788 0.369562i
\(478\) 0.560223 0.970335i 0.0256240 0.0443821i
\(479\) 6.94520 0.317334 0.158667 0.987332i \(-0.449280\pi\)
0.158667 + 0.987332i \(0.449280\pi\)
\(480\) −1.69122 0.373866i −0.0771933 0.0170646i
\(481\) 13.2052i 0.602106i
\(482\) −0.726116 1.25767i −0.0330737 0.0572853i
\(483\) −7.34664 + 17.8505i −0.334284 + 0.812224i
\(484\) −9.68931 + 16.7824i −0.440423 + 0.762836i
\(485\) −0.197336 0.113932i −0.00896058 0.00517339i
\(486\) 7.23955 + 13.8054i 0.328393 + 0.626225i
\(487\) −9.68011 16.7664i −0.438648 0.759760i 0.558938 0.829210i \(-0.311209\pi\)
−0.997585 + 0.0694495i \(0.977876\pi\)
\(488\) 0.295706 + 0.512178i 0.0133860 + 0.0231852i
\(489\) −4.03971 + 18.2740i −0.182682 + 0.826380i
\(490\) 4.51729 + 5.34735i 0.204070 + 0.241569i
\(491\) −23.8914 + 13.7937i −1.07820 + 0.622500i −0.930411 0.366518i \(-0.880550\pi\)
−0.147792 + 0.989019i \(0.547216\pi\)
\(492\) −9.82209 + 3.10340i −0.442814 + 0.139912i
\(493\) 18.4018i 0.828774i
\(494\) −40.0858 + 23.1435i −1.80354 + 1.04128i
\(495\) 9.50042 + 13.5333i 0.427012 + 0.608276i
\(496\) 6.16472i 0.276804i
\(497\) −25.2019 + 30.1358i −1.13046 + 1.35178i
\(498\) −4.51225 14.2810i −0.202199 0.639949i
\(499\) 15.6163 0.699080 0.349540 0.936921i \(-0.386338\pi\)
0.349540 + 0.936921i \(0.386338\pi\)
\(500\) −0.500000 + 0.866025i −0.0223607 + 0.0387298i
\(501\) 27.5643 + 25.2275i 1.23148 + 1.12708i
\(502\) −12.7964 + 7.38800i −0.571131 + 0.329743i
\(503\) −1.51651 −0.0676180 −0.0338090 0.999428i \(-0.510764\pi\)
−0.0338090 + 0.999428i \(0.510764\pi\)
\(504\) 0.669129 7.90900i 0.0298054 0.352295i
\(505\) −2.76769 −0.123161
\(506\) 20.1064 11.6084i 0.893837 0.516057i
\(507\) 11.1947 50.6405i 0.497176 2.24902i
\(508\) −5.61580 + 9.72685i −0.249161 + 0.431559i
\(509\) −2.70222 −0.119774 −0.0598869 0.998205i \(-0.519074\pi\)
−0.0598869 + 0.998205i \(0.519074\pi\)
\(510\) 4.28441 + 0.947123i 0.189717 + 0.0419393i
\(511\) −29.3934 5.13257i −1.30029 0.227051i
\(512\) 1.00000i 0.0441942i
\(513\) −33.8832 + 14.1066i −1.49598 + 0.622823i
\(514\) 15.4025 8.89265i 0.679376 0.392238i
\(515\) 3.30139i 0.145477i
\(516\) −7.02301 6.42763i −0.309171 0.282961i
\(517\) 25.7118 14.8447i 1.13081 0.652871i
\(518\) −3.42023 + 4.08983i −0.150276 + 0.179697i
\(519\) −1.63478 1.49619i −0.0717589 0.0656755i
\(520\) 3.27655 + 5.67516i 0.143686 + 0.248872i
\(521\) 8.63108 + 14.9495i 0.378134 + 0.654948i 0.990791 0.135401i \(-0.0432324\pi\)
−0.612656 + 0.790349i \(0.709899\pi\)
\(522\) −17.8356 + 12.5207i −0.780643 + 0.548015i
\(523\) −34.8556 20.1239i −1.52413 0.879956i −0.999592 0.0285673i \(-0.990906\pi\)
−0.524536 0.851388i \(-0.675761\pi\)
\(524\) −2.08361 + 3.60893i −0.0910231 + 0.157657i
\(525\) −4.23770 1.74410i −0.184949 0.0761186i
\(526\) −3.85865 6.68338i −0.168245 0.291409i
\(527\) 15.6172i 0.680297i
\(528\) −6.44529 + 7.04231i −0.280495 + 0.306477i
\(529\) 5.25657 0.228547
\(530\) 1.48346 2.56943i 0.0644374 0.111609i
\(531\) 1.03839 + 11.7064i 0.0450623 + 0.508016i
\(532\) 18.4094 + 3.21458i 0.798148 + 0.139370i
\(533\) 33.7508 + 19.4860i 1.46191 + 0.844034i
\(534\) 8.18560 + 25.9070i 0.354226 + 1.12111i
\(535\) −4.81501 2.77994i −0.208171 0.120187i
\(536\) 2.57760 + 1.48818i 0.111335 + 0.0642795i
\(537\) 13.8621 15.1461i 0.598194 0.653604i
\(538\) 19.4412 + 11.2244i 0.838168 + 0.483917i
\(539\) 37.9732 6.82573i 1.63562 0.294005i
\(540\) 1.99715 + 4.79702i 0.0859437 + 0.206431i
\(541\) −9.02742 + 15.6359i −0.388119 + 0.672242i −0.992197 0.124684i \(-0.960208\pi\)
0.604077 + 0.796926i \(0.293542\pi\)
\(542\) 0.407967 0.0175237
\(543\) −6.95018 21.9970i −0.298261 0.943980i
\(544\) 2.53332i 0.108615i
\(545\) −9.12223 15.8002i −0.390753 0.676805i
\(546\) −23.7831 + 18.3350i −1.01782 + 0.784666i
\(547\) −17.3408 + 30.0351i −0.741438 + 1.28421i 0.210403 + 0.977615i \(0.432523\pi\)
−0.951841 + 0.306593i \(0.900811\pi\)
\(548\) 8.02909 + 4.63560i 0.342986 + 0.198023i
\(549\) 0.747887 1.60891i 0.0319190 0.0686664i
\(550\) 2.75584 + 4.77326i 0.117509 + 0.203532i
\(551\) −25.6538 44.4336i −1.09289 1.89294i
\(552\) 6.95691 2.19811i 0.296106 0.0935578i
\(553\) −0.563982 + 3.22984i −0.0239830 + 0.137347i
\(554\) −22.3312 + 12.8929i −0.948763 + 0.547769i
\(555\) 0.753381 3.40799i 0.0319792 0.144661i
\(556\) 3.56757i 0.151299i
\(557\) 22.4858 12.9822i 0.952753 0.550072i 0.0588180 0.998269i \(-0.481267\pi\)
0.893935 + 0.448196i \(0.147934\pi\)
\(558\) 15.1367 10.6261i 0.640790 0.449837i
\(559\) 36.0196i 1.52347i
\(560\) 0.455105 2.60632i 0.0192317 0.110137i
\(561\) 16.3280 17.8404i 0.689369 0.753224i
\(562\) −13.7810 −0.581318
\(563\) −5.60094 + 9.70110i −0.236051 + 0.408853i −0.959578 0.281444i \(-0.909187\pi\)
0.723526 + 0.690297i \(0.242520\pi\)
\(564\) 8.89643 2.81093i 0.374607 0.118361i
\(565\) −1.41503 + 0.816970i −0.0595309 + 0.0343702i
\(566\) −3.28393 −0.138034
\(567\) −20.5730 + 11.9897i −0.863984 + 0.503519i
\(568\) 14.8483 0.623020
\(569\) 8.70803 5.02758i 0.365059 0.210767i −0.306238 0.951955i \(-0.599070\pi\)
0.671298 + 0.741188i \(0.265737\pi\)
\(570\) −11.6657 + 3.68590i −0.488621 + 0.154385i
\(571\) −0.983905 + 1.70417i −0.0411752 + 0.0713175i −0.885879 0.463917i \(-0.846443\pi\)
0.844703 + 0.535235i \(0.179777\pi\)
\(572\) 36.1186 1.51020
\(573\) 9.58473 10.4726i 0.400408 0.437497i
\(574\) −5.40608 14.7767i −0.225645 0.616768i
\(575\) 4.21229i 0.175665i
\(576\) −2.45538 + 1.72369i −0.102308 + 0.0718203i
\(577\) −20.3522 + 11.7503i −0.847272 + 0.489173i −0.859729 0.510750i \(-0.829368\pi\)
0.0124575 + 0.999922i \(0.496035\pi\)
\(578\) 10.5823i 0.440165i
\(579\) −1.11968 + 5.06497i −0.0465322 + 0.210493i
\(580\) −6.29071 + 3.63194i −0.261207 + 0.150808i
\(581\) 21.4849 7.86028i 0.891345 0.326099i
\(582\) −0.376334 + 0.118907i −0.0155996 + 0.00492885i
\(583\) −8.17636 14.1619i −0.338630 0.586525i
\(584\) 5.63888 + 9.76683i 0.233339 + 0.404154i
\(585\) 8.28692 17.8274i 0.342622 0.737072i
\(586\) 9.05442 + 5.22757i 0.374035 + 0.215949i
\(587\) −6.90407 + 11.9582i −0.284962 + 0.493568i −0.972600 0.232485i \(-0.925314\pi\)
0.687638 + 0.726053i \(0.258648\pi\)
\(588\) 12.1148 + 0.481354i 0.499606 + 0.0198507i
\(589\) 21.7719 + 37.7100i 0.897094 + 1.55381i
\(590\) 3.91747i 0.161280i
\(591\) −6.23209 19.7242i −0.256354 0.811347i
\(592\) 2.01511 0.0828205
\(593\) 14.5740 25.2428i 0.598480 1.03660i −0.394565 0.918868i \(-0.629105\pi\)
0.993046 0.117731i \(-0.0375619\pi\)
\(594\) 28.4012 + 3.68691i 1.16532 + 0.151276i
\(595\) −1.15293 + 6.60264i −0.0472654 + 0.270682i
\(596\) 8.99836 + 5.19521i 0.368587 + 0.212804i
\(597\) −3.69812 + 4.04068i −0.151354 + 0.165374i
\(598\) −23.9054 13.8018i −0.977566 0.564398i
\(599\) −1.79110 1.03409i −0.0731824 0.0422519i 0.462962 0.886378i \(-0.346787\pi\)
−0.536145 + 0.844126i \(0.680120\pi\)
\(600\) 0.521832 + 1.65157i 0.0213037 + 0.0674252i
\(601\) −16.7765 9.68589i −0.684326 0.395096i 0.117157 0.993113i \(-0.462622\pi\)
−0.801483 + 0.598018i \(0.795955\pi\)
\(602\) 9.32929 11.1558i 0.380233 0.454675i
\(603\) −0.788932 8.89414i −0.0321278 0.362198i
\(604\) −4.38389 + 7.59312i −0.178378 + 0.308960i
\(605\) 19.3786 0.787853
\(606\) −3.23650 + 3.53630i −0.131474 + 0.143652i
\(607\) 36.2789i 1.47252i −0.676701 0.736258i \(-0.736591\pi\)
0.676701 0.736258i \(-0.263409\pi\)
\(608\) −3.53169 6.11706i −0.143229 0.248080i
\(609\) −20.3237 26.3627i −0.823558 1.06827i
\(610\) 0.295706 0.512178i 0.0119728 0.0207375i
\(611\) −30.5701 17.6496i −1.23673 0.714027i
\(612\) 6.22028 4.36666i 0.251440 0.176512i
\(613\) 10.2743 + 17.7956i 0.414974 + 0.718756i 0.995426 0.0955386i \(-0.0304573\pi\)
−0.580452 + 0.814295i \(0.697124\pi\)
\(614\) 16.4502 + 28.4925i 0.663875 + 1.14986i
\(615\) 7.59866 + 6.95448i 0.306408 + 0.280432i
\(616\) −11.1864 9.35492i −0.450713 0.376921i
\(617\) 31.4987 18.1858i 1.26809 0.732132i 0.293463 0.955970i \(-0.405192\pi\)
0.974626 + 0.223838i \(0.0718588\pi\)
\(618\) 4.21820 + 3.86060i 0.169681 + 0.155296i
\(619\) 48.3608i 1.94378i 0.235426 + 0.971892i \(0.424351\pi\)
−0.235426 + 0.971892i \(0.575649\pi\)
\(620\) 5.33881 3.08236i 0.214412 0.123791i
\(621\) −17.3887 13.2930i −0.697786 0.533430i
\(622\) 25.8431i 1.03622i
\(623\) −38.9755 + 14.2592i −1.56152 + 0.571283i
\(624\) 11.0827 + 2.44998i 0.443665 + 0.0980778i
\(625\) 1.00000 0.0400000
\(626\) 9.35899 16.2102i 0.374061 0.647892i
\(627\) −14.5550 + 65.8410i −0.581271 + 2.62944i
\(628\) 10.3942 6.00109i 0.414773 0.239470i
\(629\) −5.10492 −0.203547
\(630\) −7.18396 + 3.37502i −0.286216 + 0.134464i
\(631\) −33.2300 −1.32287 −0.661433 0.750004i \(-0.730051\pi\)
−0.661433 + 0.750004i \(0.730051\pi\)
\(632\) 1.07321 0.619617i 0.0426900 0.0246471i
\(633\) 15.4365 + 14.1279i 0.613547 + 0.561533i
\(634\) 9.23209 15.9904i 0.366653 0.635062i
\(635\) 11.2316 0.445712
\(636\) −1.54824 4.90008i −0.0613915 0.194301i
\(637\) −29.6023 35.0417i −1.17288 1.38840i
\(638\) 40.0362i 1.58505i
\(639\) −25.5938 36.4582i −1.01248 1.44226i
\(640\) −0.866025 + 0.500000i −0.0342327 + 0.0197642i
\(641\) 10.7186i 0.423359i −0.977339 0.211679i \(-0.932107\pi\)
0.977339 0.211679i \(-0.0678932\pi\)
\(642\) −9.18256 + 2.90133i −0.362407 + 0.114506i
\(643\) 22.4608 12.9678i 0.885768 0.511398i 0.0132119 0.999913i \(-0.495794\pi\)
0.872556 + 0.488515i \(0.162461\pi\)
\(644\) 3.82908 + 10.4662i 0.150887 + 0.412428i
\(645\) −2.05498 + 9.29592i −0.0809149 + 0.366026i
\(646\) 8.94691 + 15.4965i 0.352011 + 0.609702i
\(647\) −0.701476 1.21499i −0.0275779 0.0477663i 0.851907 0.523693i \(-0.175446\pi\)
−0.879485 + 0.475927i \(0.842113\pi\)
\(648\) 8.46462 + 3.05780i 0.332522 + 0.120122i
\(649\) 18.6991 + 10.7959i 0.734003 + 0.423777i
\(650\) 3.27655 5.67516i 0.128517 0.222598i
\(651\) 17.2483 + 22.3735i 0.676016 + 0.876887i
\(652\) 5.40261 + 9.35760i 0.211583 + 0.366472i
\(653\) 23.6102i 0.923939i −0.886896 0.461969i \(-0.847143\pi\)
0.886896 0.461969i \(-0.152857\pi\)
\(654\) −30.8554 6.82099i −1.20654 0.266722i
\(655\) 4.16723 0.162827
\(656\) −2.97356 + 5.15035i −0.116098 + 0.201087i
\(657\) 14.2616 30.6806i 0.556399 1.19696i
\(658\) 4.89660 + 13.3841i 0.190889 + 0.521768i
\(659\) −9.61215 5.54958i −0.374436 0.216181i 0.300958 0.953637i \(-0.402693\pi\)
−0.675395 + 0.737456i \(0.736027\pi\)
\(660\) 9.32146 + 2.06063i 0.362837 + 0.0802099i
\(661\) 27.2557 + 15.7361i 1.06012 + 0.612063i 0.925466 0.378830i \(-0.123673\pi\)
0.134657 + 0.990892i \(0.457007\pi\)
\(662\) 20.3540 + 11.7514i 0.791079 + 0.456730i
\(663\) −28.0762 6.20660i −1.09039 0.241044i
\(664\) −7.48846 4.32347i −0.290609 0.167783i
\(665\) −6.42079 17.5503i −0.248987 0.680571i
\(666\) −3.47342 4.94786i −0.134592 0.191726i
\(667\) 15.2988 26.4983i 0.592372 1.02602i
\(668\) 21.5733 0.834695
\(669\) −26.7448 5.91228i −1.03401 0.228582i
\(670\) 2.97636i 0.114987i
\(671\) −1.62984 2.82296i −0.0629192 0.108979i
\(672\) −2.79791 3.62928i −0.107932 0.140003i
\(673\) 14.7243 25.5033i 0.567580 0.983078i −0.429224 0.903198i \(-0.641213\pi\)
0.996804 0.0798801i \(-0.0254538\pi\)
\(674\) 15.1599 + 8.75258i 0.583938 + 0.337137i
\(675\) 3.15576 4.12809i 0.121465 0.158890i
\(676\) −14.9716 25.9316i −0.575831 0.997368i
\(677\) 5.29070 + 9.16376i 0.203338 + 0.352192i 0.949602 0.313458i \(-0.101488\pi\)
−0.746264 + 0.665650i \(0.768154\pi\)
\(678\) −0.610874 + 2.76335i −0.0234605 + 0.106126i
\(679\) −0.207134 0.566172i −0.00794909 0.0217277i
\(680\) 2.19392 1.26666i 0.0841331 0.0485743i
\(681\) 3.51592 1.11089i 0.134730 0.0425696i
\(682\) 33.9780i 1.30108i
\(683\) 16.4839 9.51701i 0.630741 0.364158i −0.150298 0.988641i \(-0.548023\pi\)
0.781039 + 0.624482i \(0.214690\pi\)
\(684\) −8.93220 + 19.2156i −0.341531 + 0.734725i
\(685\) 9.27120i 0.354234i
\(686\) 0.0922085 + 18.5200i 0.00352054 + 0.707098i
\(687\) 10.5964 + 33.5371i 0.404278 + 1.27952i
\(688\) −5.49658 −0.209555
\(689\) −9.72127 + 16.8377i −0.370351 + 0.641467i
\(690\) −5.38208 4.92580i −0.204892 0.187522i
\(691\) −1.91825 + 1.10750i −0.0729735 + 0.0421313i −0.536043 0.844191i \(-0.680081\pi\)
0.463069 + 0.886322i \(0.346748\pi\)
\(692\) −1.27947 −0.0486380
\(693\) −3.68802 + 43.5919i −0.140096 + 1.65592i
\(694\) 10.2551 0.389278
\(695\) −3.08961 + 1.78379i −0.117195 + 0.0676628i
\(696\) −2.71572 + 12.2848i −0.102939 + 0.465655i
\(697\) 7.53298 13.0475i 0.285332 0.494209i
\(698\) −0.994983 −0.0376607
\(699\) −21.7984 4.81882i −0.824491 0.182264i
\(700\) −2.48469 + 0.909025i −0.0939124 + 0.0343579i
\(701\) 14.6720i 0.554154i 0.960848 + 0.277077i \(0.0893656\pi\)
−0.960848 + 0.277077i \(0.910634\pi\)
\(702\) −13.0875 31.4354i −0.493957 1.18645i
\(703\) 12.3266 7.11674i 0.464905 0.268413i
\(704\) 5.51168i 0.207729i
\(705\) −6.88255 6.29907i −0.259212 0.237237i
\(706\) −11.5847 + 6.68840i −0.435994 + 0.251721i
\(707\) −5.61726 4.69757i −0.211259 0.176670i
\(708\) 5.00537 + 4.58104i 0.188113 + 0.172166i
\(709\) 14.5615 + 25.2213i 0.546870 + 0.947207i 0.998487 + 0.0549947i \(0.0175142\pi\)
−0.451617 + 0.892212i \(0.649152\pi\)
\(710\) −7.42414 12.8590i −0.278623 0.482589i
\(711\) −3.37127 1.56711i −0.126433 0.0587712i
\(712\) 13.5847 + 7.84313i 0.509108 + 0.293934i
\(713\) −12.9838 + 22.4886i −0.486248 + 0.842205i
\(714\) 7.08801 + 9.19415i 0.265262 + 0.344082i
\(715\) −18.0593 31.2796i −0.675380 1.16979i
\(716\) 11.8542i 0.443010i
\(717\) −1.31024 + 1.43160i −0.0489317 + 0.0534641i
\(718\) 16.5645 0.618183
\(719\) −17.5750 + 30.4408i −0.655438 + 1.13525i 0.326346 + 0.945250i \(0.394183\pi\)
−0.981784 + 0.190001i \(0.939151\pi\)
\(720\) 2.72045 + 1.26458i 0.101385 + 0.0471281i
\(721\) −5.60341 + 6.70044i −0.208682 + 0.249537i
\(722\) −26.7526 15.4456i −0.995630 0.574827i
\(723\) 0.757822 + 2.39847i 0.0281837 + 0.0891999i
\(724\) −11.5344 6.65940i −0.428673 0.247495i
\(725\) 6.29071 + 3.63194i 0.233631 + 0.134887i
\(726\) 22.6611 24.7602i 0.841033 0.918937i
\(727\) 12.6948 + 7.32936i 0.470825 + 0.271831i 0.716585 0.697500i \(-0.245704\pi\)
−0.245760 + 0.969331i \(0.579038\pi\)
\(728\) −2.98235 + 17.0795i −0.110533 + 0.633007i
\(729\) −7.08230 26.0546i −0.262307 0.964984i
\(730\) 5.63888 9.76683i 0.208704 0.361487i
\(731\) 13.9246 0.515020
\(732\) −0.308618 0.976760i −0.0114068 0.0361021i
\(733\) 25.3896i 0.937785i 0.883255 + 0.468893i \(0.155347\pi\)
−0.883255 + 0.468893i \(0.844653\pi\)
\(734\) 5.71498 + 9.89863i 0.210944 + 0.365365i
\(735\) −5.64053 10.7324i −0.208054 0.395870i
\(736\) 2.10615 3.64795i 0.0776336 0.134465i
\(737\) −14.2069 8.20236i −0.523318 0.302138i
\(738\) 17.7716 1.57638i 0.654180 0.0580274i
\(739\) 6.28334 + 10.8831i 0.231136 + 0.400340i 0.958143 0.286291i \(-0.0924223\pi\)
−0.727006 + 0.686631i \(0.759089\pi\)
\(740\) −1.00755 1.74514i −0.0370385 0.0641525i
\(741\) 76.4464 24.1541i 2.80833 0.887322i
\(742\) 7.37187 2.69701i 0.270630 0.0990102i
\(743\) −15.1504 + 8.74709i −0.555814 + 0.320899i −0.751464 0.659774i \(-0.770652\pi\)
0.195650 + 0.980674i \(0.437318\pi\)
\(744\) 2.30478 10.4259i 0.0844973 0.382232i
\(745\) 10.3904i 0.380675i
\(746\) 20.4067 11.7818i 0.747143 0.431363i
\(747\) 2.29201 + 25.8393i 0.0838603 + 0.945412i
\(748\) 13.9629i 0.510533i
\(749\) −5.05408 13.8146i −0.184672 0.504774i
\(750\) 1.16939 1.27771i 0.0427000 0.0466552i
\(751\) −32.8476 −1.19863 −0.599313 0.800515i \(-0.704560\pi\)
−0.599313 + 0.800515i \(0.704560\pi\)
\(752\) 2.69332 4.66497i 0.0982154 0.170114i
\(753\) 24.4036 7.71060i 0.889318 0.280990i
\(754\) 41.2237 23.8005i 1.50128 0.866763i
\(755\) 8.76778 0.319092
\(756\) −4.08855 + 13.1257i −0.148699 + 0.477377i
\(757\) −34.4952 −1.25375 −0.626874 0.779120i \(-0.715666\pi\)
−0.626874 + 0.779120i \(0.715666\pi\)
\(758\) −15.1683 + 8.75743i −0.550938 + 0.318084i
\(759\) −38.3443 + 12.1153i −1.39181 + 0.439757i
\(760\) −3.53169 + 6.11706i −0.128108 + 0.221889i
\(761\) 41.8797 1.51814 0.759069 0.651010i \(-0.225654\pi\)
0.759069 + 0.651010i \(0.225654\pi\)
\(762\) 13.1341 14.3507i 0.475798 0.519870i
\(763\) 8.30315 47.5508i 0.300594 1.72146i
\(764\) 8.19637i 0.296534i
\(765\) −6.89177 3.20359i −0.249173 0.115826i
\(766\) −17.2415 + 9.95437i −0.622960