Properties

Label 273.2.bh.a.131.8
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.8
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.59036 - 0.918192i) q^{2} +(-0.540046 + 1.64571i) q^{3} +(0.686154 + 1.18845i) q^{4} +(1.90624 - 3.30170i) q^{5} +(2.36994 - 2.12139i) q^{6} +(-2.46739 + 0.954988i) q^{7} +1.15268i q^{8} +(-2.41670 - 1.77751i) q^{9} +O(q^{10})\) \(q+(-1.59036 - 0.918192i) q^{2} +(-0.540046 + 1.64571i) q^{3} +(0.686154 + 1.18845i) q^{4} +(1.90624 - 3.30170i) q^{5} +(2.36994 - 2.12139i) q^{6} +(-2.46739 + 0.954988i) q^{7} +1.15268i q^{8} +(-2.41670 - 1.77751i) q^{9} +(-6.06319 + 3.50058i) q^{10} +(2.78598 - 1.60849i) q^{11} +(-2.32640 + 0.487389i) q^{12} +1.00000i q^{13} +(4.80089 + 0.746765i) q^{14} +(4.40417 + 4.92017i) q^{15} +(2.43069 - 4.21008i) q^{16} +(-2.84419 - 4.92628i) q^{17} +(2.21131 + 5.04588i) q^{18} +(-2.11754 - 1.22256i) q^{19} +5.23189 q^{20} +(-0.239128 - 4.57633i) q^{21} -5.90760 q^{22} +(-4.63566 - 2.67640i) q^{23} +(-1.89698 - 0.622502i) q^{24} +(-4.76747 - 8.25750i) q^{25} +(0.918192 - 1.59036i) q^{26} +(4.23040 - 3.01724i) q^{27} +(-2.82797 - 2.27711i) q^{28} -5.66260i q^{29} +(-2.48653 - 11.8687i) q^{30} +(4.45804 - 2.57385i) q^{31} +(-5.73483 + 3.31100i) q^{32} +(1.14254 + 5.45356i) q^{33} +10.4461i q^{34} +(-1.55034 + 9.96700i) q^{35} +(0.454264 - 4.09179i) q^{36} +(-0.861424 + 1.49203i) q^{37} +(2.24509 + 3.88861i) q^{38} +(-1.64571 - 0.540046i) q^{39} +(3.80581 + 2.19729i) q^{40} -5.08165 q^{41} +(-3.82165 + 7.49756i) q^{42} -1.89384 q^{43} +(3.82322 + 2.20734i) q^{44} +(-10.4756 + 4.59085i) q^{45} +(4.91489 + 8.51285i) q^{46} +(3.80135 - 6.58413i) q^{47} +(5.61588 + 6.27385i) q^{48} +(5.17600 - 4.71265i) q^{49} +17.5098i q^{50} +(9.64321 - 2.02028i) q^{51} +(-1.18845 + 0.686154i) q^{52} +(-1.76032 + 1.01632i) q^{53} +(-9.49824 + 0.914169i) q^{54} -12.2646i q^{55} +(-1.10080 - 2.84412i) q^{56} +(3.15554 - 2.82461i) q^{57} +(-5.19935 + 9.00555i) q^{58} +(6.53378 + 11.3168i) q^{59} +(-2.82546 + 8.61015i) q^{60} +(-0.115356 - 0.0666010i) q^{61} -9.45315 q^{62} +(7.66044 + 2.07789i) q^{63} +2.43778 q^{64} +(3.30170 + 1.90624i) q^{65} +(3.19037 - 9.72217i) q^{66} +(6.64778 + 11.5143i) q^{67} +(3.90310 - 6.76038i) q^{68} +(6.90803 - 6.18355i) q^{69} +(11.6172 - 14.4276i) q^{70} -0.896002i q^{71} +(2.04891 - 2.78569i) q^{72} +(-0.619574 + 0.357711i) q^{73} +(2.73994 - 1.58191i) q^{74} +(16.1641 - 3.38643i) q^{75} -3.35546i q^{76} +(-5.33800 + 6.62934i) q^{77} +(2.12139 + 2.36994i) q^{78} +(-5.40653 + 9.36438i) q^{79} +(-9.26695 - 16.0508i) q^{80} +(2.68089 + 8.59144i) q^{81} +(8.08164 + 4.66594i) q^{82} +3.58180 q^{83} +(5.27468 - 3.42426i) q^{84} -21.6868 q^{85} +(3.01188 + 1.73891i) q^{86} +(9.31898 + 3.05806i) q^{87} +(1.85408 + 3.21135i) q^{88} +(6.82227 - 11.8165i) q^{89} +(20.8752 + 2.31754i) q^{90} +(-0.954988 - 2.46739i) q^{91} -7.34568i q^{92} +(1.82826 + 8.72662i) q^{93} +(-12.0910 + 6.98074i) q^{94} +(-8.07305 + 4.66098i) q^{95} +(-2.35187 - 11.2259i) q^{96} -4.46933i q^{97} +(-12.5588 + 2.74223i) q^{98} +(-9.59199 - 1.06489i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59036 0.918192i −1.12455 0.649260i −0.181992 0.983300i \(-0.558255\pi\)
−0.942559 + 0.334040i \(0.891588\pi\)
\(3\) −0.540046 + 1.64571i −0.311796 + 0.950149i
\(4\) 0.686154 + 1.18845i 0.343077 + 0.594227i
\(5\) 1.90624 3.30170i 0.852495 1.47656i −0.0264552 0.999650i \(-0.508422\pi\)
0.878950 0.476914i \(-0.158245\pi\)
\(6\) 2.36994 2.12139i 0.967524 0.866055i
\(7\) −2.46739 + 0.954988i −0.932585 + 0.360952i
\(8\) 1.15268i 0.407535i
\(9\) −2.41670 1.77751i −0.805567 0.592505i
\(10\) −6.06319 + 3.50058i −1.91735 + 1.10698i
\(11\) 2.78598 1.60849i 0.840005 0.484977i −0.0172612 0.999851i \(-0.505495\pi\)
0.857266 + 0.514874i \(0.172161\pi\)
\(12\) −2.32640 + 0.487389i −0.671574 + 0.140697i
\(13\) 1.00000i 0.277350i
\(14\) 4.80089 + 0.746765i 1.28309 + 0.199581i
\(15\) 4.40417 + 4.92017i 1.13715 + 1.27038i
\(16\) 2.43069 4.21008i 0.607673 1.05252i
\(17\) −2.84419 4.92628i −0.689817 1.19480i −0.971897 0.235408i \(-0.924357\pi\)
0.282079 0.959391i \(-0.408976\pi\)
\(18\) 2.21131 + 5.04588i 0.521212 + 1.18932i
\(19\) −2.11754 1.22256i −0.485796 0.280475i 0.237033 0.971502i \(-0.423825\pi\)
−0.722829 + 0.691027i \(0.757159\pi\)
\(20\) 5.23189 1.16989
\(21\) −0.239128 4.57633i −0.0521820 0.998638i
\(22\) −5.90760 −1.25950
\(23\) −4.63566 2.67640i −0.966601 0.558067i −0.0684028 0.997658i \(-0.521790\pi\)
−0.898198 + 0.439590i \(0.855124\pi\)
\(24\) −1.89698 0.622502i −0.387219 0.127068i
\(25\) −4.76747 8.25750i −0.953494 1.65150i
\(26\) 0.918192 1.59036i 0.180072 0.311894i
\(27\) 4.23040 3.01724i 0.814140 0.580668i
\(28\) −2.82797 2.27711i −0.534435 0.430333i
\(29\) 5.66260i 1.05152i −0.850634 0.525759i \(-0.823781\pi\)
0.850634 0.525759i \(-0.176219\pi\)
\(30\) −2.48653 11.8687i −0.453977 2.16692i
\(31\) 4.45804 2.57385i 0.800687 0.462277i −0.0430244 0.999074i \(-0.513699\pi\)
0.843711 + 0.536797i \(0.180366\pi\)
\(32\) −5.73483 + 3.31100i −1.01378 + 0.585308i
\(33\) 1.14254 + 5.45356i 0.198891 + 0.949343i
\(34\) 10.4461i 1.79148i
\(35\) −1.55034 + 9.96700i −0.262055 + 1.68473i
\(36\) 0.454264 4.09179i 0.0757107 0.681964i
\(37\) −0.861424 + 1.49203i −0.141617 + 0.245288i −0.928106 0.372317i \(-0.878564\pi\)
0.786489 + 0.617605i \(0.211897\pi\)
\(38\) 2.24509 + 3.88861i 0.364202 + 0.630816i
\(39\) −1.64571 0.540046i −0.263524 0.0864766i
\(40\) 3.80581 + 2.19729i 0.601752 + 0.347422i
\(41\) −5.08165 −0.793621 −0.396811 0.917901i \(-0.629883\pi\)
−0.396811 + 0.917901i \(0.629883\pi\)
\(42\) −3.82165 + 7.49756i −0.589694 + 1.15690i
\(43\) −1.89384 −0.288808 −0.144404 0.989519i \(-0.546126\pi\)
−0.144404 + 0.989519i \(0.546126\pi\)
\(44\) 3.82322 + 2.20734i 0.576373 + 0.332769i
\(45\) −10.4756 + 4.59085i −1.56161 + 0.684364i
\(46\) 4.91489 + 8.51285i 0.724662 + 1.25515i
\(47\) 3.80135 6.58413i 0.554484 0.960394i −0.443460 0.896294i \(-0.646249\pi\)
0.997943 0.0641000i \(-0.0204177\pi\)
\(48\) 5.61588 + 6.27385i 0.810582 + 0.905552i
\(49\) 5.17600 4.71265i 0.739428 0.673236i
\(50\) 17.5098i 2.47626i
\(51\) 9.64321 2.02028i 1.35032 0.282896i
\(52\) −1.18845 + 0.686154i −0.164809 + 0.0951524i
\(53\) −1.76032 + 1.01632i −0.241798 + 0.139602i −0.616003 0.787744i \(-0.711249\pi\)
0.374205 + 0.927346i \(0.377916\pi\)
\(54\) −9.49824 + 0.914169i −1.29255 + 0.124403i
\(55\) 12.2646i 1.65376i
\(56\) −1.10080 2.84412i −0.147101 0.380061i
\(57\) 3.15554 2.82461i 0.417962 0.374128i
\(58\) −5.19935 + 9.00555i −0.682709 + 1.18249i
\(59\) 6.53378 + 11.3168i 0.850625 + 1.47333i 0.880645 + 0.473777i \(0.157110\pi\)
−0.0300198 + 0.999549i \(0.509557\pi\)
\(60\) −2.82546 + 8.61015i −0.364765 + 1.11157i
\(61\) −0.115356 0.0666010i −0.0147699 0.00852738i 0.492597 0.870258i \(-0.336048\pi\)
−0.507367 + 0.861730i \(0.669381\pi\)
\(62\) −9.45315 −1.20055
\(63\) 7.66044 + 2.07789i 0.965125 + 0.261790i
\(64\) 2.43778 0.304722
\(65\) 3.30170 + 1.90624i 0.409525 + 0.236439i
\(66\) 3.19037 9.72217i 0.392708 1.19672i
\(67\) 6.64778 + 11.5143i 0.812156 + 1.40670i 0.911352 + 0.411627i \(0.135039\pi\)
−0.0991963 + 0.995068i \(0.531627\pi\)
\(68\) 3.90310 6.76038i 0.473321 0.819816i
\(69\) 6.90803 6.18355i 0.831629 0.744412i
\(70\) 11.6172 14.4276i 1.38852 1.72442i
\(71\) 0.896002i 0.106336i −0.998586 0.0531679i \(-0.983068\pi\)
0.998586 0.0531679i \(-0.0169319\pi\)
\(72\) 2.04891 2.78569i 0.241467 0.328297i
\(73\) −0.619574 + 0.357711i −0.0725156 + 0.0418669i −0.535819 0.844333i \(-0.679997\pi\)
0.463304 + 0.886200i \(0.346664\pi\)
\(74\) 2.73994 1.58191i 0.318512 0.183893i
\(75\) 16.1641 3.38643i 1.86647 0.391031i
\(76\) 3.35546i 0.384898i
\(77\) −5.33800 + 6.62934i −0.608322 + 0.755483i
\(78\) 2.12139 + 2.36994i 0.240200 + 0.268343i
\(79\) −5.40653 + 9.36438i −0.608282 + 1.05357i 0.383242 + 0.923648i \(0.374808\pi\)
−0.991524 + 0.129927i \(0.958526\pi\)
\(80\) −9.26695 16.0508i −1.03608 1.79454i
\(81\) 2.68089 + 8.59144i 0.297876 + 0.954605i
\(82\) 8.08164 + 4.66594i 0.892468 + 0.515266i
\(83\) 3.58180 0.393153 0.196577 0.980488i \(-0.437018\pi\)
0.196577 + 0.980488i \(0.437018\pi\)
\(84\) 5.27468 3.42426i 0.575515 0.373618i
\(85\) −21.6868 −2.35226
\(86\) 3.01188 + 1.73891i 0.324779 + 0.187511i
\(87\) 9.31898 + 3.05806i 0.999099 + 0.327859i
\(88\) 1.85408 + 3.21135i 0.197645 + 0.342331i
\(89\) 6.82227 11.8165i 0.723159 1.25255i −0.236568 0.971615i \(-0.576023\pi\)
0.959727 0.280933i \(-0.0906439\pi\)
\(90\) 20.8752 + 2.31754i 2.20044 + 0.244290i
\(91\) −0.954988 2.46739i −0.100110 0.258652i
\(92\) 7.34568i 0.765840i
\(93\) 1.82826 + 8.72662i 0.189581 + 0.904908i
\(94\) −12.0910 + 6.98074i −1.24709 + 0.720008i
\(95\) −8.07305 + 4.66098i −0.828277 + 0.478206i
\(96\) −2.35187 11.2259i −0.240037 1.14574i
\(97\) 4.46933i 0.453792i −0.973919 0.226896i \(-0.927142\pi\)
0.973919 0.226896i \(-0.0728577\pi\)
\(98\) −12.5588 + 2.74223i −1.26863 + 0.277007i
\(99\) −9.59199 1.06489i −0.964031 0.107025i
\(100\) 6.54244 11.3318i 0.654244 1.13318i
\(101\) −0.946965 1.64019i −0.0942265 0.163205i 0.815059 0.579378i \(-0.196704\pi\)
−0.909286 + 0.416173i \(0.863371\pi\)
\(102\) −17.1911 5.64135i −1.70218 0.558577i
\(103\) 7.31316 + 4.22226i 0.720587 + 0.416031i 0.814969 0.579505i \(-0.196754\pi\)
−0.0943815 + 0.995536i \(0.530087\pi\)
\(104\) −1.15268 −0.113030
\(105\) −15.5655 7.93404i −1.51904 0.774283i
\(106\) 3.73271 0.362553
\(107\) −3.97648 2.29582i −0.384421 0.221945i 0.295319 0.955399i \(-0.404574\pi\)
−0.679740 + 0.733453i \(0.737907\pi\)
\(108\) 6.48855 + 2.95734i 0.624361 + 0.284570i
\(109\) 2.47704 + 4.29036i 0.237257 + 0.410942i 0.959926 0.280253i \(-0.0904183\pi\)
−0.722669 + 0.691194i \(0.757085\pi\)
\(110\) −11.2613 + 19.5051i −1.07372 + 1.85974i
\(111\) −1.99024 2.22342i −0.188905 0.211037i
\(112\) −1.97688 + 12.7092i −0.186798 + 1.20091i
\(113\) 4.37184i 0.411268i 0.978629 + 0.205634i \(0.0659257\pi\)
−0.978629 + 0.205634i \(0.934074\pi\)
\(114\) −7.61197 + 1.59473i −0.712926 + 0.149360i
\(115\) −17.6733 + 10.2037i −1.64804 + 0.951499i
\(116\) 6.72974 3.88541i 0.624840 0.360752i
\(117\) 1.77751 2.41670i 0.164331 0.223424i
\(118\) 23.9970i 2.20911i
\(119\) 11.7223 + 9.43887i 1.07458 + 0.865260i
\(120\) −5.67140 + 5.07662i −0.517726 + 0.463430i
\(121\) −0.325544 + 0.563858i −0.0295949 + 0.0512598i
\(122\) 0.122305 + 0.211838i 0.0110730 + 0.0191789i
\(123\) 2.74433 8.36291i 0.247448 0.754058i
\(124\) 6.11780 + 3.53211i 0.549395 + 0.317193i
\(125\) −17.2893 −1.54641
\(126\) −10.2749 10.3383i −0.915362 0.921013i
\(127\) 8.34685 0.740663 0.370331 0.928900i \(-0.379244\pi\)
0.370331 + 0.928900i \(0.379244\pi\)
\(128\) 7.59272 + 4.38366i 0.671108 + 0.387464i
\(129\) 1.02276 3.11671i 0.0900491 0.274411i
\(130\) −3.50058 6.06319i −0.307021 0.531777i
\(131\) −4.38043 + 7.58713i −0.382720 + 0.662891i −0.991450 0.130487i \(-0.958346\pi\)
0.608730 + 0.793378i \(0.291679\pi\)
\(132\) −5.69735 + 5.09984i −0.495890 + 0.443884i
\(133\) 6.39231 + 0.994307i 0.554284 + 0.0862173i
\(134\) 24.4158i 2.10920i
\(135\) −1.89788 19.7191i −0.163344 1.69715i
\(136\) 5.67844 3.27845i 0.486923 0.281125i
\(137\) −4.54357 + 2.62323i −0.388183 + 0.224118i −0.681373 0.731937i \(-0.738617\pi\)
0.293189 + 0.956054i \(0.405283\pi\)
\(138\) −16.6639 + 3.49115i −1.41853 + 0.297186i
\(139\) 13.5317i 1.14775i −0.818944 0.573873i \(-0.805440\pi\)
0.818944 0.573873i \(-0.194560\pi\)
\(140\) −12.9091 + 4.99639i −1.09102 + 0.422272i
\(141\) 8.78265 + 9.81164i 0.739632 + 0.826289i
\(142\) −0.822702 + 1.42496i −0.0690396 + 0.119580i
\(143\) 1.60849 + 2.78598i 0.134508 + 0.232975i
\(144\) −13.3577 + 5.85392i −1.11315 + 0.487827i
\(145\) −18.6962 10.7942i −1.55263 0.896414i
\(146\) 1.31379 0.108730
\(147\) 4.96036 + 11.0632i 0.409124 + 0.912479i
\(148\) −2.36428 −0.194342
\(149\) 13.0055 + 7.50871i 1.06545 + 0.615137i 0.926935 0.375223i \(-0.122434\pi\)
0.138515 + 0.990360i \(0.455767\pi\)
\(150\) −28.8160 9.45611i −2.35282 0.772088i
\(151\) −10.3655 17.9536i −0.843533 1.46104i −0.886889 0.461982i \(-0.847138\pi\)
0.0433561 0.999060i \(-0.486195\pi\)
\(152\) 1.40923 2.44085i 0.114303 0.197979i
\(153\) −1.88298 + 16.9609i −0.152230 + 1.37121i
\(154\) 14.5763 5.64169i 1.17459 0.454620i
\(155\) 19.6254i 1.57635i
\(156\) −0.487389 2.32640i −0.0390223 0.186261i
\(157\) 20.1069 11.6087i 1.60470 0.926476i 0.614175 0.789170i \(-0.289489\pi\)
0.990529 0.137306i \(-0.0438445\pi\)
\(158\) 17.1966 9.92846i 1.36809 0.789866i
\(159\) −0.721912 3.44583i −0.0572514 0.273272i
\(160\) 25.2462i 1.99589i
\(161\) 13.9939 + 2.17671i 1.10287 + 0.171549i
\(162\) 3.62503 16.1250i 0.284810 1.26690i
\(163\) 0.363938 0.630359i 0.0285058 0.0493735i −0.851421 0.524484i \(-0.824258\pi\)
0.879926 + 0.475110i \(0.157592\pi\)
\(164\) −3.48680 6.03931i −0.272273 0.471591i
\(165\) 20.1840 + 6.62346i 1.57132 + 0.515635i
\(166\) −5.69633 3.28878i −0.442121 0.255259i
\(167\) −8.14657 −0.630401 −0.315200 0.949025i \(-0.602072\pi\)
−0.315200 + 0.949025i \(0.602072\pi\)
\(168\) 5.27506 0.275639i 0.406980 0.0212660i
\(169\) −1.00000 −0.0769231
\(170\) 34.4897 + 19.9126i 2.64524 + 1.52723i
\(171\) 2.94433 + 6.71851i 0.225159 + 0.513778i
\(172\) −1.29947 2.25074i −0.0990834 0.171617i
\(173\) 4.75031 8.22777i 0.361159 0.625546i −0.626993 0.779025i \(-0.715714\pi\)
0.988152 + 0.153479i \(0.0490477\pi\)
\(174\) −12.0126 13.4200i −0.910673 1.01737i
\(175\) 19.6490 + 15.8216i 1.48533 + 1.19600i
\(176\) 15.6389i 1.17883i
\(177\) −22.1527 + 4.64107i −1.66510 + 0.348844i
\(178\) −21.6997 + 12.5283i −1.62646 + 0.939036i
\(179\) −10.3742 + 5.98957i −0.775407 + 0.447681i −0.834800 0.550553i \(-0.814417\pi\)
0.0593930 + 0.998235i \(0.481083\pi\)
\(180\) −12.6439 9.29975i −0.942421 0.693163i
\(181\) 8.12683i 0.604063i −0.953298 0.302031i \(-0.902335\pi\)
0.953298 0.302031i \(-0.0976648\pi\)
\(182\) −0.746765 + 4.80089i −0.0553539 + 0.355865i
\(183\) 0.171903 0.153875i 0.0127075 0.0113748i
\(184\) 3.08504 5.34345i 0.227432 0.393924i
\(185\) 3.28415 + 5.68832i 0.241456 + 0.418214i
\(186\) 5.10514 15.5571i 0.374327 1.14070i
\(187\) −15.8477 9.14968i −1.15890 0.669091i
\(188\) 10.4332 0.760923
\(189\) −7.55660 + 11.4847i −0.549661 + 0.835388i
\(190\) 17.1187 1.24192
\(191\) −13.1444 7.58890i −0.951092 0.549113i −0.0576722 0.998336i \(-0.518368\pi\)
−0.893420 + 0.449222i \(0.851701\pi\)
\(192\) −1.31651 + 4.01187i −0.0950111 + 0.289532i
\(193\) 9.43615 + 16.3439i 0.679229 + 1.17646i 0.975213 + 0.221266i \(0.0710189\pi\)
−0.295985 + 0.955193i \(0.595648\pi\)
\(194\) −4.10371 + 7.10783i −0.294629 + 0.510312i
\(195\) −4.92017 + 4.40417i −0.352341 + 0.315389i
\(196\) 9.15230 + 2.91783i 0.653735 + 0.208416i
\(197\) 16.8164i 1.19812i −0.800704 0.599060i \(-0.795541\pi\)
0.800704 0.599060i \(-0.204459\pi\)
\(198\) 14.2769 + 10.5008i 1.01461 + 0.746262i
\(199\) 16.7132 9.64937i 1.18477 0.684026i 0.227654 0.973742i \(-0.426894\pi\)
0.957113 + 0.289716i \(0.0935610\pi\)
\(200\) 9.51829 5.49539i 0.673045 0.388583i
\(201\) −22.5393 + 4.72205i −1.58980 + 0.333068i
\(202\) 3.47798i 0.244710i
\(203\) 5.40771 + 13.9718i 0.379547 + 0.980630i
\(204\) 9.01774 + 10.0743i 0.631368 + 0.705341i
\(205\) −9.68683 + 16.7781i −0.676558 + 1.17183i
\(206\) −7.75369 13.4298i −0.540225 0.935697i
\(207\) 6.44566 + 14.7080i 0.448004 + 1.02228i
\(208\) 4.21008 + 2.43069i 0.291917 + 0.168538i
\(209\) −7.86589 −0.544095
\(210\) 17.4697 + 26.9101i 1.20552 + 1.85697i
\(211\) −6.58172 −0.453104 −0.226552 0.973999i \(-0.572745\pi\)
−0.226552 + 0.973999i \(0.572745\pi\)
\(212\) −2.41570 1.39470i −0.165911 0.0957887i
\(213\) 1.47456 + 0.483882i 0.101035 + 0.0331551i
\(214\) 4.21601 + 7.30235i 0.288201 + 0.499178i
\(215\) −3.61011 + 6.25289i −0.246207 + 0.426443i
\(216\) 3.47792 + 4.87631i 0.236643 + 0.331791i
\(217\) −8.54170 + 10.6081i −0.579849 + 0.720121i
\(218\) 9.09759i 0.616166i
\(219\) −0.254089 1.21282i −0.0171698 0.0819546i
\(220\) 14.5759 8.41542i 0.982709 0.567367i
\(221\) 4.92628 2.84419i 0.331378 0.191321i
\(222\) 1.12366 + 5.36344i 0.0754150 + 0.359971i
\(223\) 7.42665i 0.497325i 0.968590 + 0.248662i \(0.0799910\pi\)
−0.968590 + 0.248662i \(0.920009\pi\)
\(224\) 10.9881 13.6462i 0.734171 0.911776i
\(225\) −3.15628 + 28.4302i −0.210419 + 1.89534i
\(226\) 4.01419 6.95278i 0.267020 0.462492i
\(227\) −6.01466 10.4177i −0.399207 0.691447i 0.594421 0.804154i \(-0.297381\pi\)
−0.993628 + 0.112707i \(0.964048\pi\)
\(228\) 5.52210 + 1.81210i 0.365710 + 0.120009i
\(229\) 18.0182 + 10.4028i 1.19068 + 0.687438i 0.958460 0.285226i \(-0.0920685\pi\)
0.232218 + 0.972664i \(0.425402\pi\)
\(230\) 37.4758 2.47108
\(231\) −8.02717 12.3649i −0.528149 0.813553i
\(232\) 6.52719 0.428531
\(233\) 8.79145 + 5.07575i 0.575947 + 0.332523i 0.759521 0.650483i \(-0.225433\pi\)
−0.183574 + 0.983006i \(0.558767\pi\)
\(234\) −5.04588 + 2.21131i −0.329859 + 0.144558i
\(235\) −14.4925 25.1018i −0.945389 1.63746i
\(236\) −8.96635 + 15.5302i −0.583660 + 1.01093i
\(237\) −12.4912 13.9547i −0.811394 0.906458i
\(238\) −9.97586 25.7745i −0.646639 1.67071i
\(239\) 10.0156i 0.647853i 0.946082 + 0.323926i \(0.105003\pi\)
−0.946082 + 0.323926i \(0.894997\pi\)
\(240\) 31.4195 6.58250i 2.02812 0.424898i
\(241\) 7.81772 4.51356i 0.503583 0.290744i −0.226609 0.973986i \(-0.572764\pi\)
0.730192 + 0.683242i \(0.239431\pi\)
\(242\) 1.03546 0.597823i 0.0665619 0.0384295i
\(243\) −15.5868 0.227822i −0.999893 0.0146148i
\(244\) 0.182794i 0.0117022i
\(245\) −5.69308 26.0730i −0.363717 1.66574i
\(246\) −12.0432 + 10.7802i −0.767848 + 0.687320i
\(247\) 1.22256 2.11754i 0.0777897 0.134736i
\(248\) 2.96683 + 5.13871i 0.188394 + 0.326308i
\(249\) −1.93434 + 5.89459i −0.122584 + 0.373554i
\(250\) 27.4962 + 15.8749i 1.73901 + 1.00402i
\(251\) 1.01118 0.0638254 0.0319127 0.999491i \(-0.489840\pi\)
0.0319127 + 0.999491i \(0.489840\pi\)
\(252\) 2.78676 + 10.5298i 0.175549 + 0.663317i
\(253\) −17.2198 −1.08260
\(254\) −13.2745 7.66401i −0.832913 0.480883i
\(255\) 11.7119 35.6901i 0.733425 2.23500i
\(256\) −10.4879 18.1655i −0.655491 1.13534i
\(257\) −0.925743 + 1.60343i −0.0577462 + 0.100019i −0.893453 0.449156i \(-0.851725\pi\)
0.835707 + 0.549175i \(0.185058\pi\)
\(258\) −4.48829 + 4.01758i −0.279429 + 0.250124i
\(259\) 0.700595 4.50407i 0.0435329 0.279869i
\(260\) 5.23189i 0.324468i
\(261\) −10.0654 + 13.6848i −0.623030 + 0.847068i
\(262\) 13.9329 8.04416i 0.860777 0.496970i
\(263\) −20.6538 + 11.9245i −1.27357 + 0.735294i −0.975658 0.219300i \(-0.929623\pi\)
−0.297910 + 0.954594i \(0.596289\pi\)
\(264\) −6.28623 + 1.31699i −0.386891 + 0.0810549i
\(265\) 7.74938i 0.476041i
\(266\) −9.25309 7.45067i −0.567343 0.456830i
\(267\) 15.7622 + 17.6089i 0.964630 + 1.07765i
\(268\) −9.12281 + 15.8012i −0.557264 + 0.965210i
\(269\) 3.77115 + 6.53183i 0.229931 + 0.398253i 0.957788 0.287477i \(-0.0928165\pi\)
−0.727856 + 0.685730i \(0.759483\pi\)
\(270\) −15.0876 + 33.1029i −0.918201 + 2.01458i
\(271\) 20.0064 + 11.5507i 1.21530 + 0.701655i 0.963910 0.266230i \(-0.0857779\pi\)
0.251393 + 0.967885i \(0.419111\pi\)
\(272\) −27.6534 −1.67673
\(273\) 4.57633 0.239128i 0.276972 0.0144727i
\(274\) 9.63452 0.582043
\(275\) −26.5642 15.3368i −1.60188 0.924845i
\(276\) 12.0888 + 3.96701i 0.727663 + 0.238786i
\(277\) 9.47263 + 16.4071i 0.569155 + 0.985805i 0.996650 + 0.0817874i \(0.0260629\pi\)
−0.427495 + 0.904018i \(0.640604\pi\)
\(278\) −12.4247 + 21.5203i −0.745185 + 1.29070i
\(279\) −15.3488 1.70400i −0.918908 0.102016i
\(280\) −11.4888 1.78705i −0.686587 0.106797i
\(281\) 7.36168i 0.439161i 0.975594 + 0.219580i \(0.0704688\pi\)
−0.975594 + 0.219580i \(0.929531\pi\)
\(282\) −4.95856 23.6682i −0.295278 1.40942i
\(283\) −0.600947 + 0.346957i −0.0357226 + 0.0206245i −0.517755 0.855529i \(-0.673232\pi\)
0.482032 + 0.876153i \(0.339899\pi\)
\(284\) 1.06486 0.614795i 0.0631876 0.0364814i
\(285\) −3.31078 15.8030i −0.196114 0.936090i
\(286\) 5.90760i 0.349324i
\(287\) 12.5384 4.85292i 0.740119 0.286459i
\(288\) 19.7447 + 2.19203i 1.16347 + 0.129167i
\(289\) −7.67883 + 13.3001i −0.451696 + 0.782361i
\(290\) 19.8224 + 34.3334i 1.16401 + 2.01613i
\(291\) 7.35521 + 2.41364i 0.431170 + 0.141490i
\(292\) −0.850246 0.490890i −0.0497569 0.0287271i
\(293\) 6.09039 0.355804 0.177902 0.984048i \(-0.443069\pi\)
0.177902 + 0.984048i \(0.443069\pi\)
\(294\) 2.26942 22.1490i 0.132355 1.29176i
\(295\) 49.8197 2.90061
\(296\) −1.71984 0.992949i −0.0999636 0.0577140i
\(297\) 6.93261 15.2105i 0.402271 0.882603i
\(298\) −13.7889 23.8830i −0.798768 1.38351i
\(299\) 2.67640 4.63566i 0.154780 0.268087i
\(300\) 15.1157 + 16.8867i 0.872703 + 0.974951i
\(301\) 4.67284 1.80860i 0.269338 0.104246i
\(302\) 38.0701i 2.19069i
\(303\) 3.21068 0.672648i 0.184449 0.0386426i
\(304\) −10.2942 + 5.94334i −0.590411 + 0.340874i
\(305\) −0.439792 + 0.253914i −0.0251824 + 0.0145391i
\(306\) 18.5680 25.2450i 1.06146 1.44316i
\(307\) 18.0372i 1.02944i 0.857359 + 0.514719i \(0.172104\pi\)
−0.857359 + 0.514719i \(0.827896\pi\)
\(308\) −11.5414 1.79523i −0.657630 0.102292i
\(309\) −10.8980 + 9.75511i −0.619968 + 0.554949i
\(310\) −18.0199 + 31.2114i −1.02346 + 1.77269i
\(311\) −0.524372 0.908239i −0.0297344 0.0515015i 0.850775 0.525530i \(-0.176133\pi\)
−0.880510 + 0.474028i \(0.842799\pi\)
\(312\) 0.622502 1.89698i 0.0352422 0.107395i
\(313\) −26.0926 15.0646i −1.47484 0.851500i −0.475244 0.879854i \(-0.657640\pi\)
−0.999598 + 0.0283537i \(0.990974\pi\)
\(314\) −42.6361 −2.40610
\(315\) 21.4632 21.3315i 1.20931 1.20189i
\(316\) −14.8388 −0.834750
\(317\) 1.35227 + 0.780735i 0.0759512 + 0.0438504i 0.537495 0.843267i \(-0.319371\pi\)
−0.461543 + 0.887118i \(0.652704\pi\)
\(318\) −2.01583 + 6.14294i −0.113042 + 0.344479i
\(319\) −9.10821 15.7759i −0.509962 0.883280i
\(320\) 4.64698 8.04881i 0.259774 0.449942i
\(321\) 5.92573 5.30427i 0.330742 0.296055i
\(322\) −20.2566 16.3108i −1.12886 0.908967i
\(323\) 13.9088i 0.773905i
\(324\) −8.37103 + 9.08116i −0.465057 + 0.504509i
\(325\) 8.25750 4.76747i 0.458044 0.264452i
\(326\) −1.15758 + 0.668330i −0.0641125 + 0.0370154i
\(327\) −8.39838 + 1.75949i −0.464432 + 0.0972999i
\(328\) 5.85754i 0.323429i
\(329\) −3.09163 + 19.8758i −0.170447 + 1.09579i
\(330\) −26.0181 29.0664i −1.43225 1.60005i
\(331\) −2.92325 + 5.06322i −0.160677 + 0.278300i −0.935112 0.354354i \(-0.884701\pi\)
0.774435 + 0.632654i \(0.218034\pi\)
\(332\) 2.45767 + 4.25680i 0.134882 + 0.233622i
\(333\) 4.73391 2.07460i 0.259417 0.113687i
\(334\) 12.9559 + 7.48012i 0.708918 + 0.409294i
\(335\) 50.6890 2.76943
\(336\) −19.8480 10.1169i −1.08280 0.551923i
\(337\) −18.4229 −1.00356 −0.501780 0.864995i \(-0.667321\pi\)
−0.501780 + 0.864995i \(0.667321\pi\)
\(338\) 1.59036 + 0.918192i 0.0865039 + 0.0499431i
\(339\) −7.19477 2.36100i −0.390766 0.128232i
\(340\) −14.8805 25.7737i −0.807007 1.39778i
\(341\) 8.28000 14.3414i 0.448387 0.776629i
\(342\) 1.48635 13.3883i 0.0803726 0.723956i
\(343\) −8.27066 + 16.5709i −0.446573 + 0.894747i
\(344\) 2.18300i 0.117699i
\(345\) −7.24788 34.5955i −0.390213 1.86256i
\(346\) −15.1094 + 8.72339i −0.812284 + 0.468972i
\(347\) 19.6436 11.3412i 1.05452 0.608829i 0.130610 0.991434i \(-0.458306\pi\)
0.923912 + 0.382605i \(0.124973\pi\)
\(348\) 2.75989 + 13.1735i 0.147945 + 0.706172i
\(349\) 18.7343i 1.00283i −0.865208 0.501413i \(-0.832814\pi\)
0.865208 0.501413i \(-0.167186\pi\)
\(350\) −16.7217 43.2035i −0.893811 2.30932i
\(351\) 3.01724 + 4.23040i 0.161048 + 0.225802i
\(352\) −10.6514 + 18.4488i −0.567722 + 0.983323i
\(353\) −16.0985 27.8834i −0.856835 1.48408i −0.874932 0.484245i \(-0.839094\pi\)
0.0180972 0.999836i \(-0.494239\pi\)
\(354\) 39.4921 + 12.9595i 2.09898 + 0.688790i
\(355\) −2.95833 1.70799i −0.157012 0.0906507i
\(356\) 18.7245 0.992397
\(357\) −21.8642 + 14.1940i −1.15717 + 0.751225i
\(358\) 21.9983 1.16265
\(359\) 24.3443 + 14.0552i 1.28485 + 0.741806i 0.977730 0.209867i \(-0.0673029\pi\)
0.307115 + 0.951672i \(0.400636\pi\)
\(360\) −5.29180 12.0751i −0.278902 0.636412i
\(361\) −6.51069 11.2768i −0.342668 0.593518i
\(362\) −7.46200 + 12.9246i −0.392194 + 0.679300i
\(363\) −0.752137 0.840259i −0.0394769 0.0441022i
\(364\) 2.27711 2.82797i 0.119353 0.148226i
\(365\) 2.72753i 0.142765i
\(366\) −0.414674 + 0.0868756i −0.0216754 + 0.00454106i
\(367\) −13.1468 + 7.59033i −0.686260 + 0.396212i −0.802209 0.597043i \(-0.796342\pi\)
0.115950 + 0.993255i \(0.463009\pi\)
\(368\) −22.5357 + 13.0110i −1.17476 + 0.678245i
\(369\) 12.2808 + 9.03271i 0.639315 + 0.470224i
\(370\) 12.0619i 0.627071i
\(371\) 3.37281 4.18874i 0.175108 0.217468i
\(372\) −9.11671 + 8.16060i −0.472680 + 0.423107i
\(373\) 17.9725 31.1293i 0.930581 1.61181i 0.148251 0.988950i \(-0.452636\pi\)
0.782330 0.622864i \(-0.214031\pi\)
\(374\) 16.8023 + 29.1025i 0.868828 + 1.50485i
\(375\) 9.33704 28.4532i 0.482163 1.46932i
\(376\) 7.58942 + 4.38176i 0.391395 + 0.225972i
\(377\) 5.66260 0.291639
\(378\) 22.5628 11.3263i 1.16051 0.582563i
\(379\) −21.0331 −1.08040 −0.540198 0.841538i \(-0.681651\pi\)
−0.540198 + 0.841538i \(0.681651\pi\)
\(380\) −11.0787 6.39630i −0.568326 0.328123i
\(381\) −4.50768 + 13.7365i −0.230935 + 0.703740i
\(382\) 13.9361 + 24.1381i 0.713035 + 1.23501i
\(383\) 17.9361 31.0662i 0.916491 1.58741i 0.111786 0.993732i \(-0.464343\pi\)
0.804704 0.593676i \(-0.202324\pi\)
\(384\) −11.3146 + 10.1280i −0.577397 + 0.516843i
\(385\) 11.7126 + 30.2616i 0.596928 + 1.54227i
\(386\) 34.6568i 1.76398i
\(387\) 4.57685 + 3.36633i 0.232654 + 0.171120i
\(388\) 5.31159 3.06665i 0.269655 0.155686i
\(389\) −9.89586 + 5.71338i −0.501740 + 0.289680i −0.729432 0.684053i \(-0.760215\pi\)
0.227692 + 0.973733i \(0.426882\pi\)
\(390\) 11.8687 2.48653i 0.600995 0.125910i
\(391\) 30.4487i 1.53986i
\(392\) 5.43220 + 5.96629i 0.274367 + 0.301343i
\(393\) −10.1206 11.3063i −0.510515 0.570328i
\(394\) −15.4407 + 26.7441i −0.777892 + 1.34735i
\(395\) 20.6122 + 35.7014i 1.03711 + 1.79633i
\(396\) −5.31601 12.1303i −0.267140 0.609571i
\(397\) 18.5732 + 10.7233i 0.932164 + 0.538185i 0.887495 0.460817i \(-0.152443\pi\)
0.0446686 + 0.999002i \(0.485777\pi\)
\(398\) −35.4399 −1.77644
\(399\) −5.08848 + 9.98290i −0.254743 + 0.499770i
\(400\) −46.3530 −2.31765
\(401\) −4.76562 2.75143i −0.237984 0.137400i 0.376266 0.926512i \(-0.377208\pi\)
−0.614250 + 0.789112i \(0.710541\pi\)
\(402\) 40.1812 + 13.1856i 2.00406 + 0.657640i
\(403\) 2.57385 + 4.45804i 0.128213 + 0.222071i
\(404\) 1.29953 2.25085i 0.0646539 0.111984i
\(405\) 33.4767 + 7.52584i 1.66347 + 0.373962i
\(406\) 4.22863 27.1855i 0.209863 1.34919i
\(407\) 5.54235i 0.274724i
\(408\) 2.32875 + 11.1156i 0.115290 + 0.550303i
\(409\) 3.89618 2.24946i 0.192654 0.111229i −0.400571 0.916266i \(-0.631188\pi\)
0.593224 + 0.805037i \(0.297855\pi\)
\(410\) 30.8110 17.7888i 1.52165 0.878524i
\(411\) −1.86333 8.89405i −0.0919114 0.438711i
\(412\) 11.5885i 0.570923i
\(413\) −26.9288 21.6833i −1.32508 1.06697i
\(414\) 3.25388 29.3093i 0.159919 1.44047i
\(415\) 6.82775 11.8260i 0.335161 0.580516i
\(416\) −3.31100 5.73483i −0.162335 0.281173i
\(417\) 22.2692 + 7.30775i 1.09053 + 0.357862i
\(418\) 12.5096 + 7.22240i 0.611862 + 0.353259i
\(419\) −10.2860 −0.502504 −0.251252 0.967922i \(-0.580842\pi\)
−0.251252 + 0.967922i \(0.580842\pi\)
\(420\) −1.25109 23.9429i −0.0610470 1.16829i
\(421\) −0.790728 −0.0385377 −0.0192689 0.999814i \(-0.506134\pi\)
−0.0192689 + 0.999814i \(0.506134\pi\)
\(422\) 10.4673 + 6.04329i 0.509539 + 0.294183i
\(423\) −20.8901 + 9.15492i −1.01571 + 0.445128i
\(424\) −1.17150 2.02909i −0.0568929 0.0985413i
\(425\) −27.1192 + 46.9718i −1.31547 + 2.27847i
\(426\) −1.90077 2.12347i −0.0920927 0.102882i
\(427\) 0.348232 + 0.0541665i 0.0168521 + 0.00262130i
\(428\) 6.30115i 0.304578i
\(429\) −5.45356 + 1.14254i −0.263300 + 0.0551623i
\(430\) 11.4827 6.62954i 0.553745 0.319705i
\(431\) 1.94241 1.12145i 0.0935626 0.0540184i −0.452489 0.891770i \(-0.649464\pi\)
0.546051 + 0.837752i \(0.316130\pi\)
\(432\) −2.42004 25.1443i −0.116434 1.20976i
\(433\) 1.78260i 0.0856664i −0.999082 0.0428332i \(-0.986362\pi\)
0.999082 0.0428332i \(-0.0136384\pi\)
\(434\) 23.3246 9.02765i 1.11962 0.433341i
\(435\) 27.8610 24.9391i 1.33583 1.19574i
\(436\) −3.39926 + 5.88769i −0.162795 + 0.281969i
\(437\) 6.54411 + 11.3347i 0.313047 + 0.542214i
\(438\) −0.709507 + 2.16211i −0.0339016 + 0.103310i
\(439\) 18.4502 + 10.6522i 0.880579 + 0.508402i 0.870849 0.491550i \(-0.163570\pi\)
0.00972955 + 0.999953i \(0.496903\pi\)
\(440\) 14.1372 0.673966
\(441\) −20.8856 + 2.18866i −0.994554 + 0.104222i
\(442\) −10.4461 −0.496868
\(443\) −20.9846 12.1154i −0.997006 0.575622i −0.0896453 0.995974i \(-0.528573\pi\)
−0.907361 + 0.420352i \(0.861907\pi\)
\(444\) 1.27682 3.89091i 0.0605951 0.184654i
\(445\) −26.0097 45.0501i −1.23298 2.13558i
\(446\) 6.81909 11.8110i 0.322893 0.559267i
\(447\) −19.3807 + 17.3481i −0.916675 + 0.820539i
\(448\) −6.01494 + 2.32805i −0.284179 + 0.109990i
\(449\) 27.6895i 1.30675i 0.757035 + 0.653374i \(0.226647\pi\)
−0.757035 + 0.653374i \(0.773353\pi\)
\(450\) 31.1240 42.3160i 1.46720 1.99480i
\(451\) −14.1574 + 8.17377i −0.666645 + 0.384888i
\(452\) −5.19573 + 2.99976i −0.244387 + 0.141097i
\(453\) 35.1442 7.36282i 1.65122 0.345936i
\(454\) 22.0905i 1.03676i
\(455\) −9.96700 1.55034i −0.467260 0.0726810i
\(456\) 3.25588 + 3.63734i 0.152470 + 0.170334i
\(457\) 15.6833 27.1643i 0.733636 1.27069i −0.221684 0.975119i \(-0.571155\pi\)
0.955319 0.295576i \(-0.0955114\pi\)
\(458\) −19.1036 33.0884i −0.892652 1.54612i
\(459\) −26.8958 12.2585i −1.25539 0.572179i
\(460\) −24.2532 14.0026i −1.13081 0.652875i
\(461\) 10.6957 0.498150 0.249075 0.968484i \(-0.419873\pi\)
0.249075 + 0.968484i \(0.419873\pi\)
\(462\) 1.41267 + 27.0351i 0.0657235 + 1.25779i
\(463\) −16.5533 −0.769299 −0.384649 0.923063i \(-0.625678\pi\)
−0.384649 + 0.923063i \(0.625678\pi\)
\(464\) −23.8400 13.7640i −1.10675 0.638980i
\(465\) 32.2977 + 10.5986i 1.49777 + 0.491500i
\(466\) −9.32102 16.1445i −0.431788 0.747879i
\(467\) 14.2045 24.6029i 0.657306 1.13849i −0.324005 0.946055i \(-0.605029\pi\)
0.981310 0.192431i \(-0.0616372\pi\)
\(468\) 4.09179 + 0.454264i 0.189143 + 0.0209984i
\(469\) −27.3987 22.0617i −1.26515 1.01871i
\(470\) 53.2278i 2.45521i
\(471\) 8.24590 + 39.3593i 0.379951 + 1.81358i
\(472\) −13.0447 + 7.53138i −0.600432 + 0.346660i
\(473\) −5.27620 + 3.04622i −0.242600 + 0.140065i
\(474\) 7.05238 + 33.6624i 0.323927 + 1.54616i
\(475\) 23.3141i 1.06972i
\(476\) −3.17439 + 20.4079i −0.145498 + 0.935394i
\(477\) 6.06069 + 0.672849i 0.277500 + 0.0308076i
\(478\) 9.19621 15.9283i 0.420625 0.728544i
\(479\) 6.59889 + 11.4296i 0.301511 + 0.522232i 0.976478 0.215615i \(-0.0691757\pi\)
−0.674967 + 0.737848i \(0.735842\pi\)
\(480\) −41.5479 13.6341i −1.89639 0.622310i
\(481\) −1.49203 0.861424i −0.0680307 0.0392776i
\(482\) −16.5773 −0.755074
\(483\) −11.1396 + 21.8543i −0.506868 + 0.994405i
\(484\) −0.893493 −0.0406133
\(485\) −14.7564 8.51960i −0.670053 0.386855i
\(486\) 24.5794 + 14.6740i 1.11494 + 0.665626i
\(487\) −8.50228 14.7264i −0.385275 0.667316i 0.606532 0.795059i \(-0.292560\pi\)
−0.991807 + 0.127743i \(0.959227\pi\)
\(488\) 0.0767698 0.132969i 0.00347521 0.00601924i
\(489\) 0.840843 + 0.939358i 0.0380242 + 0.0424792i
\(490\) −14.8860 + 46.6927i −0.672481 + 2.10936i
\(491\) 27.7851i 1.25393i −0.779049 0.626963i \(-0.784298\pi\)
0.779049 0.626963i \(-0.215702\pi\)
\(492\) 11.8220 2.47674i 0.532975 0.111660i
\(493\) −27.8956 + 16.1055i −1.25635 + 0.725355i
\(494\) −3.88861 + 2.24509i −0.174957 + 0.101011i
\(495\) −21.8005 + 29.6399i −0.979861 + 1.33221i
\(496\) 25.0249i 1.12365i
\(497\) 0.855671 + 2.21078i 0.0383821 + 0.0991672i
\(498\) 8.48865 7.59840i 0.380385 0.340492i
\(499\) −1.94869 + 3.37523i −0.0872353 + 0.151096i −0.906342 0.422546i \(-0.861137\pi\)
0.819106 + 0.573642i \(0.194470\pi\)
\(500\) −11.8632 20.5476i −0.530536 0.918916i
\(501\) 4.39952 13.4069i 0.196556 0.598975i
\(502\) −1.60814 0.928461i −0.0717749 0.0414392i
\(503\) −2.99539 −0.133558 −0.0667789 0.997768i \(-0.521272\pi\)
−0.0667789 + 0.997768i \(0.521272\pi\)
\(504\) −2.39516 + 8.83007i −0.106689 + 0.393322i
\(505\) −7.22055 −0.321310
\(506\) 27.3856 + 15.8111i 1.21744 + 0.702888i
\(507\) 0.540046 1.64571i 0.0239843 0.0730884i
\(508\) 5.72722 + 9.91984i 0.254104 + 0.440122i
\(509\) 0.912614 1.58069i 0.0404509 0.0700630i −0.845091 0.534622i \(-0.820454\pi\)
0.885542 + 0.464559i \(0.153787\pi\)
\(510\) −51.3964 + 46.0062i −2.27587 + 2.03719i
\(511\) 1.18712 1.47430i 0.0525150 0.0652191i
\(512\) 20.9849i 0.927408i
\(513\) −12.6468 + 1.21720i −0.558369 + 0.0537409i
\(514\) 2.94452 1.70002i 0.129877 0.0749846i
\(515\) 27.8812 16.0972i 1.22859 0.709329i
\(516\) 4.40583 0.923036i 0.193956 0.0406344i
\(517\) 24.4577i 1.07565i
\(518\) −5.24979 + 6.51978i −0.230663 + 0.286463i
\(519\) 10.9751 + 12.2610i 0.481754 + 0.538198i
\(520\) −2.19729 + 3.80581i −0.0963574 + 0.166896i
\(521\) 6.28091 + 10.8789i 0.275172 + 0.476612i 0.970178 0.242392i \(-0.0779319\pi\)
−0.695007 + 0.719003i \(0.744599\pi\)
\(522\) 28.5728 12.5218i 1.25060 0.548064i
\(523\) −21.6433 12.4958i −0.946395 0.546401i −0.0544357 0.998517i \(-0.517336\pi\)
−0.891959 + 0.452116i \(0.850669\pi\)
\(524\) −12.0226 −0.525210
\(525\) −36.6490 + 23.7921i −1.59950 + 1.03837i
\(526\) 43.7958 1.90959
\(527\) −25.3590 14.6410i −1.10466 0.637773i
\(528\) 25.7371 + 8.44575i 1.12006 + 0.367554i
\(529\) 2.82621 + 4.89513i 0.122879 + 0.212832i
\(530\) 7.11543 12.3243i 0.309074 0.535332i
\(531\) 4.32565 38.9633i 0.187717 1.69086i
\(532\) 3.20442 + 8.27922i 0.138929 + 0.358949i
\(533\) 5.08165i 0.220111i
\(534\) −8.89910 42.4771i −0.385102 1.83817i
\(535\) −15.1602 + 8.75276i −0.655433 + 0.378415i
\(536\) −13.2723 + 7.66279i −0.573278 + 0.330982i
\(537\) −4.25451 20.3076i −0.183596 0.876338i
\(538\) 13.8506i 0.597141i
\(539\) 6.83999 21.4549i 0.294619 0.924127i
\(540\) 22.1330 15.7859i 0.952451 0.679315i
\(541\) 3.60689 6.24731i 0.155072 0.268593i −0.778013 0.628248i \(-0.783772\pi\)
0.933085 + 0.359655i \(0.117106\pi\)
\(542\) −21.2115 36.7395i −0.911114 1.57809i
\(543\) 13.3744 + 4.38886i 0.573950 + 0.188344i
\(544\) 32.6219 + 18.8342i 1.39865 + 0.807512i
\(545\) 18.8873 0.809042
\(546\) −7.49756 3.82165i −0.320866 0.163552i
\(547\) −6.55292 −0.280182 −0.140091 0.990139i \(-0.544740\pi\)
−0.140091 + 0.990139i \(0.544740\pi\)
\(548\) −6.23518 3.59988i −0.266353 0.153779i
\(549\) 0.160397 + 0.366002i 0.00684559 + 0.0156206i
\(550\) 28.1643 + 48.7820i 1.20093 + 2.08007i
\(551\) −6.92287 + 11.9908i −0.294924 + 0.510824i
\(552\) 7.12768 + 7.96278i 0.303374 + 0.338918i
\(553\) 4.39712 28.2687i 0.186985 1.20211i
\(554\) 34.7908i 1.47812i
\(555\) −11.1349 + 2.33280i −0.472650 + 0.0990218i
\(556\) 16.0818 9.28485i 0.682021 0.393765i
\(557\) −13.1778 + 7.60820i −0.558361 + 0.322370i −0.752487 0.658607i \(-0.771146\pi\)
0.194126 + 0.980977i \(0.437813\pi\)
\(558\) 22.8454 + 16.8031i 0.967124 + 0.711332i
\(559\) 1.89384i 0.0801009i
\(560\) 38.1935 + 30.7538i 1.61397 + 1.29958i
\(561\) 23.6162 21.1394i 0.997076 0.892508i
\(562\) 6.75943 11.7077i 0.285130 0.493859i
\(563\) −8.21128 14.2224i −0.346064 0.599401i 0.639482 0.768806i \(-0.279149\pi\)
−0.985547 + 0.169405i \(0.945815\pi\)
\(564\) −5.63443 + 17.1701i −0.237252 + 0.722990i
\(565\) 14.4345 + 8.33376i 0.607264 + 0.350604i
\(566\) 1.27429 0.0535625
\(567\) −14.8195 18.6382i −0.622361 0.782731i
\(568\) 1.03281 0.0433356
\(569\) 18.3151 + 10.5742i 0.767809 + 0.443295i 0.832092 0.554637i \(-0.187143\pi\)
−0.0642837 + 0.997932i \(0.520476\pi\)
\(570\) −9.24488 + 28.1723i −0.387225 + 1.18001i
\(571\) 12.7429 + 22.0713i 0.533274 + 0.923657i 0.999245 + 0.0388570i \(0.0123717\pi\)
−0.465971 + 0.884800i \(0.654295\pi\)
\(572\) −2.20734 + 3.82322i −0.0922935 + 0.159857i
\(573\) 19.5877 17.5334i 0.818286 0.732468i
\(574\) −24.3964 3.79480i −1.01829 0.158392i
\(575\) 51.0386i 2.12846i
\(576\) −5.89138 4.33319i −0.245474 0.180549i
\(577\) 27.9172 16.1180i 1.16221 0.671001i 0.210376 0.977621i \(-0.432531\pi\)
0.951832 + 0.306619i \(0.0991979\pi\)
\(578\) 24.4242 14.1013i 1.01591 0.586536i
\(579\) −31.9932 + 6.70268i −1.32959 + 0.278554i
\(580\) 29.6261i 1.23016i
\(581\) −8.83768 + 3.42057i −0.366649 + 0.141909i
\(582\) −9.48121 10.5920i −0.393009 0.439055i
\(583\) −3.26947 + 5.66290i −0.135408 + 0.234533i
\(584\) −0.412328 0.714173i −0.0170622 0.0295527i
\(585\) −4.59085 10.4756i −0.189808 0.433113i
\(586\) −9.68588 5.59215i −0.400120 0.231009i
\(587\) 27.3792 1.13006 0.565030 0.825070i \(-0.308865\pi\)
0.565030 + 0.825070i \(0.308865\pi\)
\(588\) −9.74455 + 13.4862i −0.401858 + 0.556163i
\(589\) −12.5867 −0.518628
\(590\) −79.2310 45.7440i −3.26189 1.88325i
\(591\) 27.6749 + 9.08164i 1.13839 + 0.373569i
\(592\) 4.18772 + 7.25334i 0.172114 + 0.298110i
\(593\) −9.58404 + 16.6000i −0.393569 + 0.681682i −0.992917 0.118806i \(-0.962093\pi\)
0.599348 + 0.800489i \(0.295427\pi\)
\(594\) −24.9915 + 17.8246i −1.02541 + 0.731354i
\(595\) 53.5097 20.7106i 2.19368 0.849053i
\(596\) 20.6085i 0.844158i
\(597\) 6.85414 + 32.7161i 0.280521 + 1.33898i
\(598\) −8.51285 + 4.91489i −0.348116 + 0.200985i
\(599\) 3.36511 1.94285i 0.137495 0.0793825i −0.429675 0.902984i \(-0.641372\pi\)
0.567169 + 0.823601i \(0.308038\pi\)
\(600\) 3.90348 + 18.6321i 0.159359 + 0.760651i
\(601\) 43.9468i 1.79263i 0.443419 + 0.896314i \(0.353765\pi\)
−0.443419 + 0.896314i \(0.646235\pi\)
\(602\) −9.09211 1.41425i −0.370567 0.0576406i
\(603\) 4.40113 39.6431i 0.179228 1.61439i
\(604\) 14.2247 24.6378i 0.578794 1.00250i
\(605\) 1.24113 + 2.14969i 0.0504590 + 0.0873975i
\(606\) −5.72374 1.87827i −0.232511 0.0762995i
\(607\) −2.21488 1.27876i −0.0898993 0.0519034i 0.454376 0.890810i \(-0.349862\pi\)
−0.544276 + 0.838906i \(0.683195\pi\)
\(608\) 16.1916 0.656656
\(609\) −25.9139 + 1.35409i −1.05009 + 0.0548704i
\(610\) 0.932569 0.0377586
\(611\) 6.58413 + 3.80135i 0.266365 + 0.153786i
\(612\) −21.4493 + 9.39998i −0.867037 + 0.379972i
\(613\) 12.9939 + 22.5062i 0.524820 + 0.909016i 0.999582 + 0.0289014i \(0.00920088\pi\)
−0.474762 + 0.880114i \(0.657466\pi\)
\(614\) 16.5616 28.6856i 0.668373 1.15766i
\(615\) −22.3805 25.0026i −0.902468 1.00820i
\(616\) −7.64153 6.15303i −0.307886 0.247913i
\(617\) 22.5333i 0.907157i 0.891216 + 0.453578i \(0.149853\pi\)
−0.891216 + 0.453578i \(0.850147\pi\)
\(618\) 26.2888 5.50760i 1.05749 0.221548i
\(619\) −4.20007 + 2.42491i −0.168815 + 0.0974654i −0.582027 0.813169i \(-0.697740\pi\)
0.413212 + 0.910635i \(0.364407\pi\)
\(620\) 23.3239 13.4661i 0.936712 0.540811i
\(621\) −27.6860 + 2.66467i −1.11100 + 0.106930i
\(622\) 1.92590i 0.0772215i
\(623\) −5.54854 + 35.6711i −0.222298 + 1.42913i
\(624\) −6.27385 + 5.61588i −0.251155 + 0.224815i
\(625\) −9.12022 + 15.7967i −0.364809 + 0.631867i
\(626\) 27.6644 + 47.9161i 1.10569 + 1.91511i
\(627\) 4.24794 12.9449i 0.169646 0.516971i
\(628\) 27.5928 + 15.9307i 1.10107 + 0.635705i
\(629\) 9.80021 0.390760
\(630\) −53.7205 + 14.2173i −2.14028 + 0.566432i
\(631\) 40.7237 1.62118 0.810592 0.585612i \(-0.199146\pi\)
0.810592 + 0.585612i \(0.199146\pi\)
\(632\) −10.7942 6.23201i −0.429369 0.247896i
\(633\) 3.55443 10.8316i 0.141276 0.430517i
\(634\) −1.43373 2.48329i −0.0569407 0.0986241i
\(635\) 15.9111 27.5588i 0.631411 1.09364i
\(636\) 3.59986 3.22233i 0.142744 0.127774i
\(637\) 4.71265 + 5.17600i 0.186722 + 0.205080i
\(638\) 33.4524i 1.32439i
\(639\) −1.59266 + 2.16537i −0.0630045 + 0.0856606i
\(640\) 28.9470 16.7126i 1.14423 0.660622i
\(641\) 35.2630 20.3591i 1.39280 0.804136i 0.399179 0.916873i \(-0.369295\pi\)
0.993625 + 0.112737i \(0.0359618\pi\)
\(642\) −14.2944 + 2.99472i −0.564153 + 0.118192i
\(643\) 12.1437i 0.478901i 0.970909 + 0.239450i \(0.0769672\pi\)
−0.970909 + 0.239450i \(0.923033\pi\)
\(644\) 7.01504 + 18.1246i 0.276431 + 0.714211i
\(645\) −8.34080 9.31802i −0.328419 0.366897i
\(646\) 12.7709 22.1199i 0.502466 0.870296i
\(647\) 23.1136 + 40.0339i 0.908688 + 1.57389i 0.815889 + 0.578209i \(0.196248\pi\)
0.0927993 + 0.995685i \(0.470419\pi\)
\(648\) −9.90321 + 3.09021i −0.389035 + 0.121395i
\(649\) 36.4059 + 21.0190i 1.42906 + 0.825067i
\(650\) −17.5098 −0.686792
\(651\) −12.8448 19.7860i −0.503428 0.775473i
\(652\) 0.998870 0.0391188
\(653\) 5.85590 + 3.38090i 0.229159 + 0.132305i 0.610184 0.792260i \(-0.291096\pi\)
−0.381025 + 0.924565i \(0.624429\pi\)
\(654\) 14.9720 + 4.91312i 0.585450 + 0.192118i
\(655\) 16.7003 + 28.9257i 0.652534 + 1.13022i
\(656\) −12.3519 + 21.3942i −0.482262 + 0.835303i
\(657\) 2.13316 + 0.236821i 0.0832225 + 0.00923925i
\(658\) 23.1666 28.7709i 0.903130 1.12161i
\(659\) 15.9326i 0.620645i −0.950631 0.310323i \(-0.899563\pi\)
0.950631 0.310323i \(-0.100437\pi\)
\(660\) 5.97764 + 28.5324i 0.232679 + 1.11062i
\(661\) −2.12667 + 1.22783i −0.0827177 + 0.0477571i −0.540788 0.841159i \(-0.681874\pi\)
0.458071 + 0.888916i \(0.348541\pi\)
\(662\) 9.29803 5.36822i 0.361378 0.208642i
\(663\) 2.02028 + 9.64321i 0.0784613 + 0.374511i
\(664\) 4.12868i 0.160224i
\(665\) 15.4682 19.2101i 0.599829 0.744936i
\(666\) −9.43348 1.04729i −0.365540 0.0405817i
\(667\) −15.1554 + 26.2499i −0.586818 + 1.01640i
\(668\) −5.58980 9.68182i −0.216276 0.374601i
\(669\) −12.2221 4.01073i −0.472533 0.155064i
\(670\) −80.6135 46.5422i −3.11437 1.79808i
\(671\) −0.428507 −0.0165423
\(672\) 16.5236 + 25.4527i 0.637412 + 0.981860i
\(673\) −19.6863 −0.758849 −0.379425 0.925223i \(-0.623878\pi\)
−0.379425 + 0.925223i \(0.623878\pi\)
\(674\) 29.2990 + 16.9158i 1.12855 + 0.651571i
\(675\) −45.0832 20.5479i −1.73525 0.790889i
\(676\) −0.686154 1.18845i −0.0263905 0.0457098i
\(677\) 25.3792 43.9581i 0.975402 1.68945i 0.296801 0.954939i \(-0.404080\pi\)
0.678601 0.734507i \(-0.262587\pi\)
\(678\) 9.27439 + 10.3610i 0.356181 + 0.397912i
\(679\) 4.26816 + 11.0276i 0.163797 + 0.423199i
\(680\) 24.9980i 0.958630i
\(681\) 20.3927 4.27233i 0.781448 0.163716i
\(682\) −26.3363 + 15.2053i −1.00847 + 0.582240i
\(683\) 19.7697 11.4140i 0.756466 0.436746i −0.0715593 0.997436i \(-0.522798\pi\)
0.828026 + 0.560690i \(0.189464\pi\)
\(684\) −5.96438 + 8.10914i −0.228054 + 0.310061i
\(685\) 20.0020i 0.764237i
\(686\) 28.3686 18.7596i 1.08312 0.716247i
\(687\) −26.8507 + 24.0347i −1.02442 + 0.916981i
\(688\) −4.60334 + 7.97323i −0.175501 + 0.303976i
\(689\) −1.01632 1.76032i −0.0387187 0.0670628i
\(690\) −20.2387 + 61.6742i −0.770472 + 2.34790i
\(691\) −30.5605 17.6441i −1.16258 0.671213i −0.210656 0.977560i \(-0.567560\pi\)
−0.951920 + 0.306347i \(0.900893\pi\)
\(692\) 13.0378 0.495622
\(693\) 24.6841 6.53274i 0.937671 0.248158i
\(694\) −41.6537 −1.58115
\(695\) −44.6777 25.7947i −1.69472 0.978447i
\(696\) −3.52498 + 10.7418i −0.133614 + 0.407168i
\(697\) 14.4532 + 25.0337i 0.547454 + 0.948218i
\(698\) −17.2017 + 29.7943i −0.651095 + 1.12773i
\(699\) −13.1010 + 11.7270i −0.495524 + 0.443556i
\(700\) −5.32096 + 34.2080i −0.201113 + 1.29294i
\(701\) 20.0295i 0.756505i −0.925702 0.378253i \(-0.876525\pi\)
0.925702 0.378253i \(-0.123475\pi\)
\(702\) −0.914169 9.49824i −0.0345031 0.358488i
\(703\) 3.64819 2.10629i 0.137594 0.0794401i
\(704\) 6.79160 3.92113i 0.255968 0.147783i
\(705\) 49.1369 10.2943i 1.85060 0.387707i
\(706\) 59.1260i 2.22523i
\(707\) 3.90289 + 3.14265i 0.146783 + 0.118191i
\(708\) −20.7159 23.1430i −0.778550 0.869767i
\(709\) 16.4185 28.4376i 0.616609 1.06800i −0.373491 0.927634i \(-0.621839\pi\)
0.990100 0.140364i \(-0.0448272\pi\)
\(710\) 3.13653 + 5.43262i 0.117712 + 0.203883i
\(711\) 29.7113 13.0207i 1.11426 0.488315i
\(712\) 13.6207 + 7.86392i 0.510457 + 0.294713i
\(713\) −27.5546 −1.03193
\(714\) 47.8046 2.49795i 1.78904 0.0934833i
\(715\) 12.2646 0.458671
\(716\) −14.2367 8.21953i −0.532049 0.307178i
\(717\) −16.4827 5.40886i −0.615557 0.201998i
\(718\) −25.8108 44.7056i −0.963250 1.66840i
\(719\) 0.243458 0.421681i 0.00907944 0.0157261i −0.861450 0.507842i \(-0.830443\pi\)
0.870529 + 0.492116i \(0.163777\pi\)
\(720\) −6.13513 + 55.2622i −0.228643 + 2.05950i
\(721\) −22.0766 3.43396i −0.822176 0.127887i
\(722\) 23.9123i 0.889922i
\(723\) 3.20607 + 15.3032i 0.119235 + 0.569132i
\(724\) 9.65837 5.57626i 0.358950 0.207240i
\(725\) −46.7589 + 26.9963i −1.73658 + 1.00262i
\(726\) 0.424646 + 2.02692i 0.0157601 + 0.0752259i
\(727\) 3.97470i 0.147414i −0.997280 0.0737068i \(-0.976517\pi\)
0.997280 0.0737068i \(-0.0234829\pi\)
\(728\) 2.84412 1.10080i 0.105410 0.0407983i
\(729\) 8.79251 25.5283i 0.325649 0.945491i
\(730\) 2.50439 4.33774i 0.0926918 0.160547i
\(731\) 5.38644 + 9.32959i 0.199225 + 0.345067i
\(732\) 0.300825 + 0.0987172i 0.0111188 + 0.00364869i
\(733\) −4.56613 2.63625i −0.168654 0.0973722i 0.413297 0.910596i \(-0.364377\pi\)
−0.581951 + 0.813224i \(0.697710\pi\)
\(734\) 27.8775 1.02898
\(735\) 45.9830 + 4.71148i 1.69611 + 0.173785i
\(736\) 35.4462 1.30657
\(737\) 37.0412 + 21.3857i 1.36443 + 0.787754i
\(738\) −11.2371 25.6414i −0.413645 0.943873i
\(739\) −10.6835 18.5044i −0.393001 0.680697i 0.599843 0.800118i \(-0.295230\pi\)
−0.992844 + 0.119421i \(0.961896\pi\)
\(740\) −4.50687 + 7.80613i −0.165676 + 0.286959i
\(741\) 2.82461 + 3.15554i 0.103764 + 0.115922i
\(742\) −9.21004 + 3.56469i −0.338111 + 0.130864i
\(743\) 10.7628i 0.394848i 0.980318 + 0.197424i \(0.0632576\pi\)
−0.980318 + 0.197424i \(0.936742\pi\)
\(744\) −10.0590 + 2.10740i −0.368782 + 0.0772610i
\(745\) 49.5830 28.6267i 1.81658 1.04880i
\(746\) −57.1653 + 33.0044i −2.09297 + 1.20838i
\(747\) −8.65613 6.36670i −0.316711 0.232945i
\(748\) 25.1124i 0.918199i
\(749\) 12.0040 + 1.86719i 0.438616 + 0.0682256i
\(750\) −40.9747 + 36.6775i −1.49619 + 1.33927i
\(751\) 2.21605 3.83831i 0.0808648 0.140062i −0.822757 0.568393i \(-0.807565\pi\)
0.903622 + 0.428332i \(0.140898\pi\)
\(752\) −18.4798 32.0080i −0.673890 1.16721i
\(753\) −0.546086 + 1.66411i −0.0199005 + 0.0606436i
\(754\) −9.00555 5.19935i −0.327963 0.189349i
\(755\) −79.0364 −2.87643
\(756\) −18.8340 1.10040i −0.684986 0.0400213i
\(757\) 51.6594 1.87759 0.938796 0.344475i \(-0.111943\pi\)
0.938796 + 0.344475i \(0.111943\pi\)
\(758\) 33.4501 + 19.3124i 1.21496 + 0.701458i
\(759\) 9.29948 28.3387i 0.337550 1.02863i
\(760\) −5.37263 9.30567i −0.194886 0.337552i
\(761\) −12.2088 + 21.1462i −0.442568 + 0.766551i −0.997879 0.0650920i \(-0.979266\pi\)
0.555311 + 0.831643i \(0.312599\pi\)
\(762\) 19.7815 17.7069i 0.716609 0.641455i
\(763\) −10.2090 8.22042i −0.369592 0.297599i
\(764\) 20.8286i 0.753553i
\(765\) 52.4105 + 38.5486i 1.89490 + 1.39373i
\(766\) −57.0495 + 32.9375i −2.06128 + 1.19008i
\(767\) −11.3168 + 6.53378i −0.408627 + 0.235921i
\(768\) 35.5590 7.44973i 1.28313 0.268819i
\(769\) 3.02712i 0.109161i −0.998509 0.0545804i \(-0.982618\pi\)
0.998509 0.0545804i \(-0.0173821\pi\)
\(770\) 9.15878 58.8810i 0.330060 2.12192i
\(771\) −2.13884 2.38943i −0.0770283 0.0860532i
\(772\) −12.9493 + 22.4288i −0.466056 + 0.807232i
\(773\) −23.0196 39.8712i −0.827959 1.43407i −0.899637 0.436638i \(-0.856169\pi\)
0.0716786 0.997428i \(-0.477164\pi\)
\(774\) −4.18788 9.55608i −0.150530 0.343486i
\(775\) −42.5071 24.5415i −1.52690 0.881557i
\(776\) 5.15173