Properties

Label 630.2.i.f.121.2
Level 630
Weight 2
Character 630.121
Analytic conductor 5.031
Analytic rank 0
Dimension 12
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{3})\)
Coefficient field: 12.0.91830304992969.1
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 121.2
Root \(0.683706 - 1.23796i\)
Character \(\chi\) = 630.121
Dual form 630.2.i.f.151.2

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-0.554872 - 1.64077i) q^{3} +1.00000 q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.554872 + 1.64077i) q^{6} +(2.32383 + 1.26483i) q^{7} -1.00000 q^{8} +(-2.38423 + 1.82083i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-0.554872 - 1.64077i) q^{3} +1.00000 q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.554872 + 1.64077i) q^{6} +(2.32383 + 1.26483i) q^{7} -1.00000 q^{8} +(-2.38423 + 1.82083i) q^{9} +(0.500000 + 0.866025i) q^{10} +(-1.25470 + 2.17320i) q^{11} +(-0.554872 - 1.64077i) q^{12} +(-2.97905 + 5.15987i) q^{13} +(-2.32383 - 1.26483i) q^{14} +(-1.14351 + 1.30092i) q^{15} +1.00000 q^{16} +(-2.65781 - 4.60347i) q^{17} +(2.38423 - 1.82083i) q^{18} +(-2.97905 + 5.15987i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(0.785868 - 4.51469i) q^{21} +(1.25470 - 2.17320i) q^{22} +(-0.678764 - 1.17565i) q^{23} +(0.554872 + 1.64077i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(2.97905 - 5.15987i) q^{26} +(4.31051 + 2.90164i) q^{27} +(2.32383 + 1.26483i) q^{28} +(3.10212 + 5.37303i) q^{29} +(1.14351 - 1.30092i) q^{30} -6.16523 q^{31} -1.00000 q^{32} +(4.26192 + 0.852819i) q^{33} +(2.65781 + 4.60347i) q^{34} +(-0.0665372 - 2.64491i) q^{35} +(-2.38423 + 1.82083i) q^{36} +(2.58315 - 4.47415i) q^{37} +(2.97905 - 5.15987i) q^{38} +(10.1191 + 2.02486i) q^{39} +(0.500000 + 0.866025i) q^{40} +(-4.43192 + 7.67631i) q^{41} +(-0.785868 + 4.51469i) q^{42} +(0.977900 + 1.69377i) q^{43} +(-1.25470 + 2.17320i) q^{44} +(2.76900 + 1.15439i) q^{45} +(0.678764 + 1.17565i) q^{46} -2.04420 q^{47} +(-0.554872 - 1.64077i) q^{48} +(3.80039 + 5.87852i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-6.07847 + 6.91519i) q^{51} +(-2.97905 + 5.15987i) q^{52} +(-0.179671 - 0.311199i) q^{53} +(-4.31051 - 2.90164i) q^{54} +2.50940 q^{55} +(-2.32383 - 1.26483i) q^{56} +(10.1191 + 2.02486i) q^{57} +(-3.10212 - 5.37303i) q^{58} -2.86874 q^{59} +(-1.14351 + 1.30092i) q^{60} +3.82899 q^{61} +6.16523 q^{62} +(-7.84361 + 1.21565i) q^{63} +1.00000 q^{64} +5.95810 q^{65} +(-4.26192 - 0.852819i) q^{66} +12.9461 q^{67} +(-2.65781 - 4.60347i) q^{68} +(-1.55235 + 1.76603i) q^{69} +(0.0665372 + 2.64491i) q^{70} +3.52556 q^{71} +(2.38423 - 1.82083i) q^{72} +(5.60063 + 9.70058i) q^{73} +(-2.58315 + 4.47415i) q^{74} +(1.69838 + 0.339850i) q^{75} +(-2.97905 + 5.15987i) q^{76} +(-5.66445 + 3.46317i) q^{77} +(-10.1191 - 2.02486i) q^{78} -14.7994 q^{79} +(-0.500000 - 0.866025i) q^{80} +(2.36914 - 8.68258i) q^{81} +(4.43192 - 7.67631i) q^{82} +(-2.54006 - 4.39951i) q^{83} +(0.785868 - 4.51469i) q^{84} +(-2.65781 + 4.60347i) q^{85} +(-0.977900 - 1.69377i) q^{86} +(7.09461 - 8.07120i) q^{87} +(1.25470 - 2.17320i) q^{88} +(-0.367362 + 0.636290i) q^{89} +(-2.76900 - 1.15439i) q^{90} +(-13.4492 + 8.22266i) q^{91} +(-0.678764 - 1.17565i) q^{92} +(3.42092 + 10.1157i) q^{93} +2.04420 q^{94} +5.95810 q^{95} +(0.554872 + 1.64077i) q^{96} +(-6.19076 - 10.7227i) q^{97} +(-3.80039 - 5.87852i) q^{98} +(-0.965543 - 7.46602i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 12q^{2} + 2q^{3} + 12q^{4} - 6q^{5} - 2q^{6} + 4q^{7} - 12q^{8} - 4q^{9} + O(q^{10}) \) \( 12q - 12q^{2} + 2q^{3} + 12q^{4} - 6q^{5} - 2q^{6} + 4q^{7} - 12q^{8} - 4q^{9} + 6q^{10} - 7q^{11} + 2q^{12} - 2q^{13} - 4q^{14} - q^{15} + 12q^{16} + q^{17} + 4q^{18} - 2q^{19} - 6q^{20} + 29q^{21} + 7q^{22} - 9q^{23} - 2q^{24} - 6q^{25} + 2q^{26} + 11q^{27} + 4q^{28} + 3q^{29} + q^{30} + 18q^{31} - 12q^{32} + 27q^{33} - q^{34} - 8q^{35} - 4q^{36} + 6q^{37} + 2q^{38} + 10q^{39} + 6q^{40} - 11q^{41} - 29q^{42} + 23q^{43} - 7q^{44} + 5q^{45} + 9q^{46} - 2q^{47} + 2q^{48} + 24q^{49} + 6q^{50} - 15q^{51} - 2q^{52} - 4q^{53} - 11q^{54} + 14q^{55} - 4q^{56} + 10q^{57} - 3q^{58} - 22q^{59} - q^{60} + 50q^{61} - 18q^{62} - q^{63} + 12q^{64} + 4q^{65} - 27q^{66} + 4q^{67} + q^{68} - 12q^{69} + 8q^{70} + 22q^{71} + 4q^{72} + 24q^{73} - 6q^{74} - q^{75} - 2q^{76} - 11q^{77} - 10q^{78} + 2q^{79} - 6q^{80} + 20q^{81} + 11q^{82} + 4q^{83} + 29q^{84} + q^{85} - 23q^{86} + 7q^{88} + 2q^{89} - 5q^{90} - 8q^{91} - 9q^{92} + 40q^{93} + 2q^{94} + 4q^{95} - 2q^{96} - 36q^{97} - 24q^{98} + 15q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) −0.554872 1.64077i −0.320356 0.947297i
\(4\) 1.00000 0.500000
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) 0.554872 + 1.64077i 0.226526 + 0.669840i
\(7\) 2.32383 + 1.26483i 0.878326 + 0.478062i
\(8\) −1.00000 −0.353553
\(9\) −2.38423 + 1.82083i −0.794744 + 0.606944i
\(10\) 0.500000 + 0.866025i 0.158114 + 0.273861i
\(11\) −1.25470 + 2.17320i −0.378306 + 0.655245i −0.990816 0.135218i \(-0.956827\pi\)
0.612510 + 0.790463i \(0.290160\pi\)
\(12\) −0.554872 1.64077i −0.160178 0.473649i
\(13\) −2.97905 + 5.15987i −0.826240 + 1.43109i 0.0747277 + 0.997204i \(0.476191\pi\)
−0.900968 + 0.433886i \(0.857142\pi\)
\(14\) −2.32383 1.26483i −0.621070 0.338041i
\(15\) −1.14351 + 1.30092i −0.295253 + 0.335895i
\(16\) 1.00000 0.250000
\(17\) −2.65781 4.60347i −0.644615 1.11651i −0.984390 0.175999i \(-0.943684\pi\)
0.339776 0.940507i \(-0.389649\pi\)
\(18\) 2.38423 1.82083i 0.561969 0.429174i
\(19\) −2.97905 + 5.15987i −0.683441 + 1.18375i 0.290483 + 0.956880i \(0.406184\pi\)
−0.973924 + 0.226875i \(0.927149\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) 0.785868 4.51469i 0.171491 0.985186i
\(22\) 1.25470 2.17320i 0.267503 0.463328i
\(23\) −0.678764 1.17565i −0.141532 0.245141i 0.786542 0.617537i \(-0.211869\pi\)
−0.928074 + 0.372397i \(0.878536\pi\)
\(24\) 0.554872 + 1.64077i 0.113263 + 0.334920i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 2.97905 5.15987i 0.584240 1.01193i
\(27\) 4.31051 + 2.90164i 0.829558 + 0.558421i
\(28\) 2.32383 + 1.26483i 0.439163 + 0.239031i
\(29\) 3.10212 + 5.37303i 0.576049 + 0.997747i 0.995927 + 0.0901657i \(0.0287397\pi\)
−0.419878 + 0.907581i \(0.637927\pi\)
\(30\) 1.14351 1.30092i 0.208775 0.237514i
\(31\) −6.16523 −1.10731 −0.553654 0.832747i \(-0.686767\pi\)
−0.553654 + 0.832747i \(0.686767\pi\)
\(32\) −1.00000 −0.176777
\(33\) 4.26192 + 0.852819i 0.741904 + 0.148457i
\(34\) 2.65781 + 4.60347i 0.455811 + 0.789489i
\(35\) −0.0665372 2.64491i −0.0112468 0.447072i
\(36\) −2.38423 + 1.82083i −0.397372 + 0.303472i
\(37\) 2.58315 4.47415i 0.424668 0.735546i −0.571722 0.820448i \(-0.693724\pi\)
0.996389 + 0.0849016i \(0.0270576\pi\)
\(38\) 2.97905 5.15987i 0.483266 0.837041i
\(39\) 10.1191 + 2.02486i 1.62036 + 0.324237i
\(40\) 0.500000 + 0.866025i 0.0790569 + 0.136931i
\(41\) −4.43192 + 7.67631i −0.692149 + 1.19884i 0.278983 + 0.960296i \(0.410003\pi\)
−0.971132 + 0.238542i \(0.923331\pi\)
\(42\) −0.785868 + 4.51469i −0.121262 + 0.696632i
\(43\) 0.977900 + 1.69377i 0.149128 + 0.258298i 0.930906 0.365260i \(-0.119020\pi\)
−0.781777 + 0.623558i \(0.785687\pi\)
\(44\) −1.25470 + 2.17320i −0.189153 + 0.327623i
\(45\) 2.76900 + 1.15439i 0.412779 + 0.172086i
\(46\) 0.678764 + 1.17565i 0.100078 + 0.173341i
\(47\) −2.04420 −0.298177 −0.149089 0.988824i \(-0.547634\pi\)
−0.149089 + 0.988824i \(0.547634\pi\)
\(48\) −0.554872 1.64077i −0.0800889 0.236824i
\(49\) 3.80039 + 5.87852i 0.542913 + 0.839789i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −6.07847 + 6.91519i −0.851157 + 0.968321i
\(52\) −2.97905 + 5.15987i −0.413120 + 0.715545i
\(53\) −0.179671 0.311199i −0.0246796 0.0427464i 0.853422 0.521221i \(-0.174523\pi\)
−0.878101 + 0.478475i \(0.841190\pi\)
\(54\) −4.31051 2.90164i −0.586586 0.394863i
\(55\) 2.50940 0.338367
\(56\) −2.32383 1.26483i −0.310535 0.169021i
\(57\) 10.1191 + 2.02486i 1.34031 + 0.268199i
\(58\) −3.10212 5.37303i −0.407328 0.705513i
\(59\) −2.86874 −0.373478 −0.186739 0.982410i \(-0.559792\pi\)
−0.186739 + 0.982410i \(0.559792\pi\)
\(60\) −1.14351 + 1.30092i −0.147626 + 0.167948i
\(61\) 3.82899 0.490252 0.245126 0.969491i \(-0.421171\pi\)
0.245126 + 0.969491i \(0.421171\pi\)
\(62\) 6.16523 0.782985
\(63\) −7.84361 + 1.21565i −0.988202 + 0.153157i
\(64\) 1.00000 0.125000
\(65\) 5.95810 0.739012
\(66\) −4.26192 0.852819i −0.524606 0.104975i
\(67\) 12.9461 1.58161 0.790806 0.612066i \(-0.209661\pi\)
0.790806 + 0.612066i \(0.209661\pi\)
\(68\) −2.65781 4.60347i −0.322307 0.558253i
\(69\) −1.55235 + 1.76603i −0.186880 + 0.212605i
\(70\) 0.0665372 + 2.64491i 0.00795272 + 0.316128i
\(71\) 3.52556 0.418407 0.209203 0.977872i \(-0.432913\pi\)
0.209203 + 0.977872i \(0.432913\pi\)
\(72\) 2.38423 1.82083i 0.280985 0.214587i
\(73\) 5.60063 + 9.70058i 0.655504 + 1.13537i 0.981767 + 0.190088i \(0.0608772\pi\)
−0.326263 + 0.945279i \(0.605789\pi\)
\(74\) −2.58315 + 4.47415i −0.300285 + 0.520110i
\(75\) 1.69838 + 0.339850i 0.196112 + 0.0392425i
\(76\) −2.97905 + 5.15987i −0.341721 + 0.591877i
\(77\) −5.66445 + 3.46317i −0.645524 + 0.394665i
\(78\) −10.1191 2.02486i −1.14577 0.229270i
\(79\) −14.7994 −1.66506 −0.832530 0.553980i \(-0.813108\pi\)
−0.832530 + 0.553980i \(0.813108\pi\)
\(80\) −0.500000 0.866025i −0.0559017 0.0968246i
\(81\) 2.36914 8.68258i 0.263237 0.964731i
\(82\) 4.43192 7.67631i 0.489423 0.847706i
\(83\) −2.54006 4.39951i −0.278808 0.482909i 0.692281 0.721628i \(-0.256606\pi\)
−0.971089 + 0.238719i \(0.923273\pi\)
\(84\) 0.785868 4.51469i 0.0857453 0.492593i
\(85\) −2.65781 + 4.60347i −0.288280 + 0.499316i
\(86\) −0.977900 1.69377i −0.105450 0.182644i
\(87\) 7.09461 8.07120i 0.760622 0.865324i
\(88\) 1.25470 2.17320i 0.133751 0.231664i
\(89\) −0.367362 + 0.636290i −0.0389403 + 0.0674466i −0.884839 0.465897i \(-0.845732\pi\)
0.845898 + 0.533344i \(0.179065\pi\)
\(90\) −2.76900 1.15439i −0.291879 0.121683i
\(91\) −13.4492 + 8.22266i −1.40986 + 0.861969i
\(92\) −0.678764 1.17565i −0.0707660 0.122570i
\(93\) 3.42092 + 10.1157i 0.354733 + 1.04895i
\(94\) 2.04420 0.210843
\(95\) 5.95810 0.611288
\(96\) 0.554872 + 1.64077i 0.0566314 + 0.167460i
\(97\) −6.19076 10.7227i −0.628576 1.08873i −0.987838 0.155489i \(-0.950305\pi\)
0.359261 0.933237i \(-0.383029\pi\)
\(98\) −3.80039 5.87852i −0.383897 0.593821i
\(99\) −0.965543 7.46602i −0.0970407 0.750363i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) −4.02012 + 6.96305i −0.400017 + 0.692849i −0.993727 0.111829i \(-0.964329\pi\)
0.593711 + 0.804679i \(0.297662\pi\)
\(102\) 6.07847 6.91519i 0.601859 0.684706i
\(103\) −5.60483 9.70785i −0.552260 0.956543i −0.998111 0.0614356i \(-0.980432\pi\)
0.445851 0.895107i \(-0.352901\pi\)
\(104\) 2.97905 5.15987i 0.292120 0.505967i
\(105\) −4.30277 + 1.57676i −0.419907 + 0.153876i
\(106\) 0.179671 + 0.311199i 0.0174511 + 0.0302263i
\(107\) 3.76525 6.52160i 0.364000 0.630467i −0.624615 0.780933i \(-0.714744\pi\)
0.988615 + 0.150466i \(0.0480774\pi\)
\(108\) 4.31051 + 2.90164i 0.414779 + 0.279211i
\(109\) 5.59671 + 9.69378i 0.536067 + 0.928496i 0.999111 + 0.0421601i \(0.0134240\pi\)
−0.463044 + 0.886335i \(0.653243\pi\)
\(110\) −2.50940 −0.239262
\(111\) −8.77436 1.75577i −0.832826 0.166650i
\(112\) 2.32383 + 1.26483i 0.219581 + 0.119516i
\(113\) −5.83876 + 10.1130i −0.549264 + 0.951354i 0.449061 + 0.893501i \(0.351759\pi\)
−0.998325 + 0.0578524i \(0.981575\pi\)
\(114\) −10.1191 2.02486i −0.947744 0.189646i
\(115\) −0.678764 + 1.17565i −0.0632950 + 0.109630i
\(116\) 3.10212 + 5.37303i 0.288025 + 0.498873i
\(117\) −2.29250 17.7267i −0.211942 1.63883i
\(118\) 2.86874 0.264089
\(119\) −0.353687 14.0594i −0.0324225 1.28882i
\(120\) 1.14351 1.30092i 0.104388 0.118757i
\(121\) 2.35146 + 4.07285i 0.213769 + 0.370259i
\(122\) −3.82899 −0.346661
\(123\) 15.0542 + 3.01237i 1.35739 + 0.271617i
\(124\) −6.16523 −0.553654
\(125\) 1.00000 0.0894427
\(126\) 7.84361 1.21565i 0.698764 0.108299i
\(127\) −1.08717 −0.0964710 −0.0482355 0.998836i \(-0.515360\pi\)
−0.0482355 + 0.998836i \(0.515360\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 2.23648 2.54433i 0.196911 0.224016i
\(130\) −5.95810 −0.522560
\(131\) −4.30124 7.44996i −0.375801 0.650906i 0.614646 0.788803i \(-0.289299\pi\)
−0.990447 + 0.137897i \(0.955966\pi\)
\(132\) 4.26192 + 0.852819i 0.370952 + 0.0742283i
\(133\) −13.4492 + 8.22266i −1.16619 + 0.712995i
\(134\) −12.9461 −1.11837
\(135\) 0.357641 5.18383i 0.0307809 0.446153i
\(136\) 2.65781 + 4.60347i 0.227906 + 0.394744i
\(137\) 1.02295 1.77180i 0.0873966 0.151375i −0.819013 0.573774i \(-0.805479\pi\)
0.906410 + 0.422399i \(0.138812\pi\)
\(138\) 1.55235 1.76603i 0.132144 0.150335i
\(139\) 5.44268 9.42700i 0.461642 0.799588i −0.537401 0.843327i \(-0.680594\pi\)
0.999043 + 0.0437392i \(0.0139270\pi\)
\(140\) −0.0665372 2.64491i −0.00562342 0.223536i
\(141\) 1.13427 + 3.35406i 0.0955228 + 0.282463i
\(142\) −3.52556 −0.295858
\(143\) −7.47562 12.9482i −0.625143 1.08278i
\(144\) −2.38423 + 1.82083i −0.198686 + 0.151736i
\(145\) 3.10212 5.37303i 0.257617 0.446206i
\(146\) −5.60063 9.70058i −0.463512 0.802825i
\(147\) 7.53656 9.49738i 0.621605 0.783331i
\(148\) 2.58315 4.47415i 0.212334 0.367773i
\(149\) 0.250077 + 0.433146i 0.0204871 + 0.0354847i 0.876087 0.482153i \(-0.160145\pi\)
−0.855600 + 0.517637i \(0.826812\pi\)
\(150\) −1.69838 0.339850i −0.138672 0.0277486i
\(151\) 8.28820 14.3556i 0.674484 1.16824i −0.302135 0.953265i \(-0.597699\pi\)
0.976619 0.214976i \(-0.0689672\pi\)
\(152\) 2.97905 5.15987i 0.241633 0.418521i
\(153\) 14.7190 + 6.13631i 1.18996 + 0.496091i
\(154\) 5.66445 3.46317i 0.456454 0.279070i
\(155\) 3.08262 + 5.33925i 0.247602 + 0.428859i
\(156\) 10.1191 + 2.02486i 0.810179 + 0.162119i
\(157\) −1.10586 −0.0882570 −0.0441285 0.999026i \(-0.514051\pi\)
−0.0441285 + 0.999026i \(0.514051\pi\)
\(158\) 14.7994 1.17738
\(159\) −0.410910 + 0.467473i −0.0325873 + 0.0370730i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −0.0903261 3.59054i −0.00711870 0.282975i
\(162\) −2.36914 + 8.68258i −0.186137 + 0.682168i
\(163\) −3.44888 + 5.97364i −0.270137 + 0.467892i −0.968897 0.247465i \(-0.920402\pi\)
0.698759 + 0.715357i \(0.253736\pi\)
\(164\) −4.43192 + 7.67631i −0.346075 + 0.599419i
\(165\) −1.39240 4.11734i −0.108398 0.320534i
\(166\) 2.54006 + 4.39951i 0.197147 + 0.341468i
\(167\) −6.61206 + 11.4524i −0.511657 + 0.886215i 0.488252 + 0.872703i \(0.337635\pi\)
−0.999909 + 0.0135125i \(0.995699\pi\)
\(168\) −0.785868 + 4.51469i −0.0606311 + 0.348316i
\(169\) −11.2495 19.4847i −0.865345 1.49882i
\(170\) 2.65781 4.60347i 0.203845 0.353070i
\(171\) −2.29250 17.7267i −0.175312 1.35559i
\(172\) 0.977900 + 1.69377i 0.0745642 + 0.129149i
\(173\) −15.2751 −1.16135 −0.580673 0.814137i \(-0.697210\pi\)
−0.580673 + 0.814137i \(0.697210\pi\)
\(174\) −7.09461 + 8.07120i −0.537841 + 0.611876i
\(175\) −2.25729 + 1.38008i −0.170635 + 0.104324i
\(176\) −1.25470 + 2.17320i −0.0945765 + 0.163811i
\(177\) 1.59178 + 4.70693i 0.119646 + 0.353795i
\(178\) 0.367362 0.636290i 0.0275350 0.0476919i
\(179\) −0.232599 0.402873i −0.0173853 0.0301121i 0.857202 0.514981i \(-0.172201\pi\)
−0.874587 + 0.484868i \(0.838868\pi\)
\(180\) 2.76900 + 1.15439i 0.206389 + 0.0860432i
\(181\) 26.1282 1.94209 0.971046 0.238892i \(-0.0767841\pi\)
0.971046 + 0.238892i \(0.0767841\pi\)
\(182\) 13.4492 8.22266i 0.996920 0.609504i
\(183\) −2.12460 6.28248i −0.157055 0.464415i
\(184\) 0.678764 + 1.17565i 0.0500391 + 0.0866703i
\(185\) −5.16631 −0.379834
\(186\) −3.42092 10.1157i −0.250834 0.741720i
\(187\) 13.3390 0.975446
\(188\) −2.04420 −0.149089
\(189\) 6.34680 + 12.1950i 0.461662 + 0.887056i
\(190\) −5.95810 −0.432246
\(191\) −20.6483 −1.49406 −0.747029 0.664791i \(-0.768521\pi\)
−0.747029 + 0.664791i \(0.768521\pi\)
\(192\) −0.554872 1.64077i −0.0400445 0.118412i
\(193\) −15.7801 −1.13587 −0.567937 0.823072i \(-0.692258\pi\)
−0.567937 + 0.823072i \(0.692258\pi\)
\(194\) 6.19076 + 10.7227i 0.444470 + 0.769845i
\(195\) −3.30599 9.77586i −0.236747 0.700064i
\(196\) 3.80039 + 5.87852i 0.271456 + 0.419895i
\(197\) 11.1659 0.795536 0.397768 0.917486i \(-0.369785\pi\)
0.397768 + 0.917486i \(0.369785\pi\)
\(198\) 0.965543 + 7.46602i 0.0686182 + 0.530587i
\(199\) −12.9803 22.4825i −0.920148 1.59374i −0.799183 0.601087i \(-0.794734\pi\)
−0.120965 0.992657i \(-0.538599\pi\)
\(200\) 0.500000 0.866025i 0.0353553 0.0612372i
\(201\) −7.18341 21.2415i −0.506679 1.49826i
\(202\) 4.02012 6.96305i 0.282855 0.489918i
\(203\) 0.412813 + 16.4097i 0.0289738 + 1.15173i
\(204\) −6.07847 + 6.91519i −0.425578 + 0.484160i
\(205\) 8.86383 0.619077
\(206\) 5.60483 + 9.70785i 0.390507 + 0.676378i
\(207\) 3.75900 + 1.56712i 0.261269 + 0.108922i
\(208\) −2.97905 + 5.15987i −0.206560 + 0.357772i
\(209\) −7.47562 12.9482i −0.517100 0.895643i
\(210\) 4.30277 1.57676i 0.296919 0.108807i
\(211\) −2.97056 + 5.14516i −0.204502 + 0.354207i −0.949974 0.312329i \(-0.898891\pi\)
0.745472 + 0.666537i \(0.232224\pi\)
\(212\) −0.179671 0.311199i −0.0123398 0.0213732i
\(213\) −1.95623 5.78462i −0.134039 0.396356i
\(214\) −3.76525 + 6.52160i −0.257387 + 0.445807i
\(215\) 0.977900 1.69377i 0.0666922 0.115514i
\(216\) −4.31051 2.90164i −0.293293 0.197432i
\(217\) −14.3270 7.79800i −0.972577 0.529362i
\(218\) −5.59671 9.69378i −0.379057 0.656546i
\(219\) 12.8088 14.5719i 0.865535 0.984679i
\(220\) 2.50940 0.169184
\(221\) 31.6711 2.13043
\(222\) 8.77436 + 1.75577i 0.588897 + 0.117839i
\(223\) −8.23601 14.2652i −0.551524 0.955267i −0.998165 0.0605541i \(-0.980713\pi\)
0.446641 0.894713i \(-0.352620\pi\)
\(224\) −2.32383 1.26483i −0.155268 0.0845103i
\(225\) −0.384771 2.97522i −0.0256514 0.198348i
\(226\) 5.83876 10.1130i 0.388388 0.672709i
\(227\) −8.90835 + 15.4297i −0.591268 + 1.02411i 0.402794 + 0.915291i \(0.368039\pi\)
−0.994062 + 0.108816i \(0.965294\pi\)
\(228\) 10.1191 + 2.02486i 0.670156 + 0.134100i
\(229\) 11.5572 + 20.0177i 0.763723 + 1.32281i 0.940919 + 0.338631i \(0.109964\pi\)
−0.177197 + 0.984175i \(0.556703\pi\)
\(230\) 0.678764 1.17565i 0.0447564 0.0775203i
\(231\) 8.82530 + 7.37243i 0.580662 + 0.485070i
\(232\) −3.10212 5.37303i −0.203664 0.352757i
\(233\) 4.94916 8.57219i 0.324230 0.561583i −0.657126 0.753781i \(-0.728228\pi\)
0.981356 + 0.192198i \(0.0615614\pi\)
\(234\) 2.29250 + 17.7267i 0.149866 + 1.15883i
\(235\) 1.02210 + 1.77033i 0.0666745 + 0.115484i
\(236\) −2.86874 −0.186739
\(237\) 8.21177 + 24.2823i 0.533412 + 1.57731i
\(238\) 0.353687 + 14.0594i 0.0229261 + 0.911335i
\(239\) −12.6933 + 21.9855i −0.821064 + 1.42212i 0.0838266 + 0.996480i \(0.473286\pi\)
−0.904891 + 0.425644i \(0.860048\pi\)
\(240\) −1.14351 + 1.30092i −0.0738132 + 0.0839738i
\(241\) −14.3326 + 24.8249i −0.923247 + 1.59911i −0.128890 + 0.991659i \(0.541141\pi\)
−0.794357 + 0.607451i \(0.792192\pi\)
\(242\) −2.35146 4.07285i −0.151158 0.261813i
\(243\) −15.5607 + 0.930524i −0.998217 + 0.0596931i
\(244\) 3.82899 0.245126
\(245\) 3.19076 6.23049i 0.203850 0.398052i
\(246\) −15.0542 3.01237i −0.959819 0.192062i
\(247\) −17.7495 30.7430i −1.12937 1.95613i
\(248\) 6.16523 0.391493
\(249\) −5.80917 + 6.60881i −0.368141 + 0.418817i
\(250\) −1.00000 −0.0632456
\(251\) 27.3920 1.72897 0.864484 0.502660i \(-0.167645\pi\)
0.864484 + 0.502660i \(0.167645\pi\)
\(252\) −7.84361 + 1.21565i −0.494101 + 0.0765787i
\(253\) 3.40658 0.214170
\(254\) 1.08717 0.0682153
\(255\) 9.02797 + 1.80652i 0.565353 + 0.113128i
\(256\) 1.00000 0.0625000
\(257\) 12.9546 + 22.4380i 0.808085 + 1.39964i 0.914189 + 0.405289i \(0.132829\pi\)
−0.106104 + 0.994355i \(0.533838\pi\)
\(258\) −2.23648 + 2.54433i −0.139237 + 0.158403i
\(259\) 11.6619 7.12992i 0.724634 0.443031i
\(260\) 5.95810 0.369506
\(261\) −17.1796 7.16211i −1.06339 0.443324i
\(262\) 4.30124 + 7.44996i 0.265731 + 0.460260i
\(263\) −14.5434 + 25.1899i −0.896784 + 1.55327i −0.0652021 + 0.997872i \(0.520769\pi\)
−0.831582 + 0.555403i \(0.812564\pi\)
\(264\) −4.26192 0.852819i −0.262303 0.0524874i
\(265\) −0.179671 + 0.311199i −0.0110371 + 0.0191168i
\(266\) 13.4492 8.22266i 0.824623 0.504164i
\(267\) 1.24784 + 0.249696i 0.0763667 + 0.0152811i
\(268\) 12.9461 0.790806
\(269\) −4.69888 8.13870i −0.286496 0.496225i 0.686475 0.727153i \(-0.259157\pi\)
−0.972971 + 0.230928i \(0.925824\pi\)
\(270\) −0.357641 + 5.18383i −0.0217654 + 0.315478i
\(271\) −0.571895 + 0.990552i −0.0347402 + 0.0601717i −0.882873 0.469612i \(-0.844394\pi\)
0.848133 + 0.529784i \(0.177727\pi\)
\(272\) −2.65781 4.60347i −0.161154 0.279126i
\(273\) 20.9541 + 17.5045i 1.26820 + 1.05942i
\(274\) −1.02295 + 1.77180i −0.0617987 + 0.107038i
\(275\) −1.25470 2.17320i −0.0756612 0.131049i
\(276\) −1.55235 + 1.76603i −0.0934402 + 0.106303i
\(277\) 3.56388 6.17281i 0.214133 0.370888i −0.738871 0.673847i \(-0.764641\pi\)
0.953004 + 0.302958i \(0.0979742\pi\)
\(278\) −5.44268 + 9.42700i −0.326430 + 0.565394i
\(279\) 14.6993 11.2259i 0.880027 0.672074i
\(280\) 0.0665372 + 2.64491i 0.00397636 + 0.158064i
\(281\) 9.36628 + 16.2229i 0.558746 + 0.967776i 0.997602 + 0.0692183i \(0.0220505\pi\)
−0.438856 + 0.898557i \(0.644616\pi\)
\(282\) −1.13427 3.35406i −0.0675448 0.199731i
\(283\) −31.6080 −1.87890 −0.939450 0.342686i \(-0.888663\pi\)
−0.939450 + 0.342686i \(0.888663\pi\)
\(284\) 3.52556 0.209203
\(285\) −3.30599 9.77586i −0.195830 0.579072i
\(286\) 7.47562 + 12.9482i 0.442043 + 0.765641i
\(287\) −20.0083 + 12.2328i −1.18105 + 0.722080i
\(288\) 2.38423 1.82083i 0.140492 0.107294i
\(289\) −5.62796 + 9.74791i −0.331056 + 0.573407i
\(290\) −3.10212 + 5.37303i −0.182163 + 0.315515i
\(291\) −14.1584 + 16.1073i −0.829979 + 0.944228i
\(292\) 5.60063 + 9.70058i 0.327752 + 0.567683i
\(293\) −2.92595 + 5.06790i −0.170936 + 0.296070i −0.938747 0.344606i \(-0.888012\pi\)
0.767811 + 0.640676i \(0.221346\pi\)
\(294\) −7.53656 + 9.49738i −0.439541 + 0.553899i
\(295\) 1.43437 + 2.48440i 0.0835122 + 0.144647i
\(296\) −2.58315 + 4.47415i −0.150143 + 0.260055i
\(297\) −11.7142 + 5.72692i −0.679729 + 0.332310i
\(298\) −0.250077 0.433146i −0.0144866 0.0250915i
\(299\) 8.08829 0.467758
\(300\) 1.69838 + 0.339850i 0.0980561 + 0.0196212i
\(301\) 0.130134 + 5.17292i 0.00750077 + 0.298162i
\(302\) −8.28820 + 14.3556i −0.476932 + 0.826071i
\(303\) 13.6554 + 2.73247i 0.784482 + 0.156977i
\(304\) −2.97905 + 5.15987i −0.170860 + 0.295939i
\(305\) −1.91450 3.31600i −0.109624 0.189874i
\(306\) −14.7190 6.13631i −0.841429 0.350790i
\(307\) 18.0889 1.03239 0.516193 0.856472i \(-0.327349\pi\)
0.516193 + 0.856472i \(0.327349\pi\)
\(308\) −5.66445 + 3.46317i −0.322762 + 0.197332i
\(309\) −12.8184 + 14.5828i −0.729211 + 0.829589i
\(310\) −3.08262 5.33925i −0.175081 0.303249i
\(311\) 28.7843 1.63221 0.816105 0.577904i \(-0.196129\pi\)
0.816105 + 0.577904i \(0.196129\pi\)
\(312\) −10.1191 2.02486i −0.572883 0.114635i
\(313\) −0.185134 −0.0104644 −0.00523219 0.999986i \(-0.501665\pi\)
−0.00523219 + 0.999986i \(0.501665\pi\)
\(314\) 1.10586 0.0624071
\(315\) 4.97459 + 6.18494i 0.280286 + 0.348482i
\(316\) −14.7994 −0.832530
\(317\) 5.86194 0.329239 0.164620 0.986357i \(-0.447360\pi\)
0.164620 + 0.986357i \(0.447360\pi\)
\(318\) 0.410910 0.467473i 0.0230427 0.0262146i
\(319\) −15.5689 −0.871691
\(320\) −0.500000 0.866025i −0.0279508 0.0484123i
\(321\) −12.7897 2.55924i −0.713849 0.142843i
\(322\) 0.0903261 + 3.59054i 0.00503368 + 0.200093i
\(323\) 31.6711 1.76223
\(324\) 2.36914 8.68258i 0.131619 0.482366i
\(325\) −2.97905 5.15987i −0.165248 0.286218i
\(326\) 3.44888 5.97364i 0.191016 0.330849i
\(327\) 12.7998 14.5617i 0.707829 0.805264i
\(328\) 4.43192 7.67631i 0.244712 0.423853i
\(329\) −4.75038 2.58557i −0.261897 0.142547i
\(330\) 1.39240 + 4.11734i 0.0766489 + 0.226652i
\(331\) −1.74896 −0.0961314 −0.0480657 0.998844i \(-0.515306\pi\)
−0.0480657 + 0.998844i \(0.515306\pi\)
\(332\) −2.54006 4.39951i −0.139404 0.241455i
\(333\) 1.98784 + 15.3709i 0.108933 + 0.842321i
\(334\) 6.61206 11.4524i 0.361796 0.626649i
\(335\) −6.47303 11.2116i −0.353659 0.612556i
\(336\) 0.785868 4.51469i 0.0428726 0.246296i
\(337\) 8.99813 15.5852i 0.490160 0.848981i −0.509776 0.860307i \(-0.670272\pi\)
0.999936 + 0.0113258i \(0.00360518\pi\)
\(338\) 11.2495 + 19.4847i 0.611892 + 1.05983i
\(339\) 19.8329 + 3.96860i 1.07717 + 0.215545i
\(340\) −2.65781 + 4.60347i −0.144140 + 0.249658i
\(341\) 7.73551 13.3983i 0.418901 0.725558i
\(342\) 2.29250 + 17.7267i 0.123964 + 0.958549i
\(343\) 1.39610 + 18.4676i 0.0753825 + 0.997155i
\(344\) −0.977900 1.69377i −0.0527248 0.0913221i
\(345\) 2.30560 + 0.461356i 0.124129 + 0.0248386i
\(346\) 15.2751 0.821195
\(347\) −4.14672 −0.222608 −0.111304 0.993786i \(-0.535503\pi\)
−0.111304 + 0.993786i \(0.535503\pi\)
\(348\) 7.09461 8.07120i 0.380311 0.432662i
\(349\) −11.4215 19.7827i −0.611381 1.05894i −0.991008 0.133804i \(-0.957281\pi\)
0.379627 0.925140i \(-0.376052\pi\)
\(350\) 2.25729 1.38008i 0.120657 0.0737684i
\(351\) −27.8133 + 13.5975i −1.48456 + 0.725781i
\(352\) 1.25470 2.17320i 0.0668757 0.115832i
\(353\) 11.7572 20.3640i 0.625771 1.08387i −0.362621 0.931937i \(-0.618118\pi\)
0.988391 0.151930i \(-0.0485487\pi\)
\(354\) −1.59178 4.70693i −0.0846024 0.250171i
\(355\) −1.76278 3.05322i −0.0935586 0.162048i
\(356\) −0.367362 + 0.636290i −0.0194702 + 0.0337233i
\(357\) −22.8719 + 8.38148i −1.21051 + 0.443595i
\(358\) 0.232599 + 0.402873i 0.0122932 + 0.0212925i
\(359\) −6.12241 + 10.6043i −0.323128 + 0.559675i −0.981132 0.193340i \(-0.938068\pi\)
0.658003 + 0.753015i \(0.271401\pi\)
\(360\) −2.76900 1.15439i −0.145939 0.0608417i
\(361\) −8.24949 14.2885i −0.434184 0.752028i
\(362\) −26.1282 −1.37327
\(363\) 5.37784 6.11811i 0.282263 0.321118i
\(364\) −13.4492 + 8.22266i −0.704929 + 0.430984i
\(365\) 5.60063 9.70058i 0.293150 0.507751i
\(366\) 2.12460 + 6.28248i 0.111055 + 0.328391i
\(367\) 5.78768 10.0246i 0.302114 0.523277i −0.674500 0.738275i \(-0.735641\pi\)
0.976615 + 0.214997i \(0.0689742\pi\)
\(368\) −0.678764 1.17565i −0.0353830 0.0612852i
\(369\) −3.41055 26.3719i −0.177546 1.37287i
\(370\) 5.16631 0.268583
\(371\) −0.0239096 0.950427i −0.00124132 0.0493437i
\(372\) 3.42092 + 10.1157i 0.177366 + 0.524475i
\(373\) 7.15324 + 12.3898i 0.370381 + 0.641518i 0.989624 0.143681i \(-0.0458939\pi\)
−0.619243 + 0.785199i \(0.712561\pi\)
\(374\) −13.3390 −0.689745
\(375\) −0.554872 1.64077i −0.0286535 0.0847288i
\(376\) 2.04420 0.105422
\(377\) −36.9655 −1.90382
\(378\) −6.34680 12.1950i −0.326444 0.627243i
\(379\) −5.19451 −0.266824 −0.133412 0.991061i \(-0.542593\pi\)
−0.133412 + 0.991061i \(0.542593\pi\)
\(380\) 5.95810 0.305644
\(381\) 0.603243 + 1.78380i 0.0309050 + 0.0913868i
\(382\) 20.6483 1.05646
\(383\) −5.92200 10.2572i −0.302600 0.524119i 0.674124 0.738618i \(-0.264521\pi\)
−0.976724 + 0.214499i \(0.931188\pi\)
\(384\) 0.554872 + 1.64077i 0.0283157 + 0.0837300i
\(385\) 5.83142 + 3.17397i 0.297197 + 0.161761i
\(386\) 15.7801 0.803184
\(387\) −5.41562 2.25776i −0.275291 0.114768i
\(388\) −6.19076 10.7227i −0.314288 0.544363i
\(389\) −17.6616 + 30.5908i −0.895480 + 1.55102i −0.0622714 + 0.998059i \(0.519834\pi\)
−0.833209 + 0.552958i \(0.813499\pi\)
\(390\) 3.30599 + 9.77586i 0.167405 + 0.495020i
\(391\) −3.60806 + 6.24934i −0.182467 + 0.316043i
\(392\) −3.80039 5.87852i −0.191949 0.296910i
\(393\) −9.83702 + 11.1911i −0.496212 + 0.564517i
\(394\) −11.1659 −0.562529
\(395\) 7.39969 + 12.8166i 0.372319 + 0.644875i
\(396\) −0.965543 7.46602i −0.0485204 0.375182i
\(397\) −5.44065 + 9.42348i −0.273058 + 0.472951i −0.969643 0.244523i \(-0.921369\pi\)
0.696585 + 0.717474i \(0.254702\pi\)
\(398\) 12.9803 + 22.4825i 0.650643 + 1.12695i
\(399\) 20.9541 + 17.5045i 1.04901 + 0.876319i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) −14.3646 24.8801i −0.717332 1.24246i −0.962053 0.272862i \(-0.912030\pi\)
0.244722 0.969593i \(-0.421303\pi\)
\(402\) 7.18341 + 21.2415i 0.358276 + 1.05943i
\(403\) 18.3665 31.8118i 0.914902 1.58466i
\(404\) −4.02012 + 6.96305i −0.200008 + 0.346425i
\(405\) −8.70390 + 2.28956i −0.432500 + 0.113769i
\(406\) −0.412813 16.4097i −0.0204876 0.814399i
\(407\) 6.48216 + 11.2274i 0.321309 + 0.556523i
\(408\) 6.07847 6.91519i 0.300929 0.342353i
\(409\) 2.79310 0.138110 0.0690550 0.997613i \(-0.478002\pi\)
0.0690550 + 0.997613i \(0.478002\pi\)
\(410\) −8.86383 −0.437754
\(411\) −3.47472 0.695299i −0.171395 0.0342966i
\(412\) −5.60483 9.70785i −0.276130 0.478271i
\(413\) −6.66647 3.62848i −0.328035 0.178546i
\(414\) −3.75900 1.56712i −0.184745 0.0770196i
\(415\) −2.54006 + 4.39951i −0.124687 + 0.215964i
\(416\) 2.97905 5.15987i 0.146060 0.252983i
\(417\) −18.4875 3.69939i −0.905337 0.181160i
\(418\) 7.47562 + 12.9482i 0.365645 + 0.633315i
\(419\) 14.8923 25.7942i 0.727535 1.26013i −0.230387 0.973099i \(-0.573999\pi\)
0.957922 0.287028i \(-0.0926674\pi\)
\(420\) −4.30277 + 1.57676i −0.209954 + 0.0769381i
\(421\) 10.7947 + 18.6969i 0.526101 + 0.911233i 0.999538 + 0.0304053i \(0.00967978\pi\)
−0.473437 + 0.880828i \(0.656987\pi\)
\(422\) 2.97056 5.14516i 0.144605 0.250462i
\(423\) 4.87385 3.72215i 0.236975 0.180977i
\(424\) 0.179671 + 0.311199i 0.00872557 + 0.0151131i
\(425\) 5.31563 0.257846
\(426\) 1.95623 + 5.78462i 0.0947799 + 0.280266i
\(427\) 8.89793 + 4.84304i 0.430601 + 0.234371i
\(428\) 3.76525 6.52160i 0.182000 0.315233i
\(429\) −17.0969 + 19.4503i −0.825446 + 0.939071i
\(430\) −0.977900 + 1.69377i −0.0471585 + 0.0816810i
\(431\) 17.4006 + 30.1387i 0.838157 + 1.45173i 0.891434 + 0.453151i \(0.149700\pi\)
−0.0532769 + 0.998580i \(0.516967\pi\)
\(432\) 4.31051 + 2.90164i 0.207389 + 0.139605i
\(433\) −16.7114 −0.803098 −0.401549 0.915838i \(-0.631528\pi\)
−0.401549 + 0.915838i \(0.631528\pi\)
\(434\) 14.3270 + 7.79800i 0.687716 + 0.374316i
\(435\) −10.5372 2.10851i −0.505219 0.101095i
\(436\) 5.59671 + 9.69378i 0.268034 + 0.464248i
\(437\) 8.08829 0.386915
\(438\) −12.8088 + 14.5719i −0.612026 + 0.696273i
\(439\) 30.6286 1.46182 0.730911 0.682473i \(-0.239095\pi\)
0.730911 + 0.682473i \(0.239095\pi\)
\(440\) −2.50940 −0.119631
\(441\) −19.7648 7.09590i −0.941182 0.337900i
\(442\) −31.6711 −1.50644
\(443\) 27.0075 1.28316 0.641582 0.767055i \(-0.278278\pi\)
0.641582 + 0.767055i \(0.278278\pi\)
\(444\) −8.77436 1.75577i −0.416413 0.0833251i
\(445\) 0.734724 0.0348293
\(446\) 8.23601 + 14.2652i 0.389986 + 0.675476i
\(447\) 0.571930 0.650658i 0.0270514 0.0307751i
\(448\) 2.32383 + 1.26483i 0.109791 + 0.0597578i
\(449\) 40.6860 1.92009 0.960045 0.279845i \(-0.0902831\pi\)
0.960045 + 0.279845i \(0.0902831\pi\)
\(450\) 0.384771 + 2.97522i 0.0181383 + 0.140253i
\(451\) −11.1214 19.2629i −0.523688 0.907055i
\(452\) −5.83876 + 10.1130i −0.274632 + 0.475677i
\(453\) −28.1531 5.63349i −1.32275 0.264684i
\(454\) 8.90835 15.4297i 0.418090 0.724153i
\(455\) 13.8456 + 7.53601i 0.649093 + 0.353294i
\(456\) −10.1191 2.02486i −0.473872 0.0948228i
\(457\) 35.4495 1.65826 0.829129 0.559057i \(-0.188837\pi\)
0.829129 + 0.559057i \(0.188837\pi\)
\(458\) −11.5572 20.0177i −0.540033 0.935365i
\(459\) 1.90109 27.5553i 0.0887352 1.28617i
\(460\) −0.678764 + 1.17565i −0.0316475 + 0.0548151i
\(461\) 11.9946 + 20.7753i 0.558645 + 0.967601i 0.997610 + 0.0690971i \(0.0220118\pi\)
−0.438965 + 0.898504i \(0.644655\pi\)
\(462\) −8.82530 7.37243i −0.410590 0.342996i
\(463\) 6.53066 11.3114i 0.303506 0.525687i −0.673422 0.739258i \(-0.735176\pi\)
0.976927 + 0.213571i \(0.0685096\pi\)
\(464\) 3.10212 + 5.37303i 0.144012 + 0.249437i
\(465\) 7.05000 8.02045i 0.326936 0.371940i
\(466\) −4.94916 + 8.57219i −0.229265 + 0.397099i
\(467\) −11.0880 + 19.2050i −0.513092 + 0.888701i 0.486793 + 0.873517i \(0.338167\pi\)
−0.999885 + 0.0151836i \(0.995167\pi\)
\(468\) −2.29250 17.7267i −0.105971 0.819416i
\(469\) 30.0845 + 16.3746i 1.38917 + 0.756110i
\(470\) −1.02210 1.77033i −0.0471460 0.0816592i
\(471\) 0.613609 + 1.81445i 0.0282736 + 0.0836056i
\(472\) 2.86874 0.132044
\(473\) −4.90788 −0.225665
\(474\) −8.21177 24.2823i −0.377179 1.11532i
\(475\) −2.97905 5.15987i −0.136688 0.236751i
\(476\) −0.353687 14.0594i −0.0162112 0.644411i
\(477\) 0.995017 + 0.414820i 0.0455587 + 0.0189933i
\(478\) 12.6933 21.9855i 0.580580 1.00559i
\(479\) 16.2605 28.1639i 0.742959 1.28684i −0.208183 0.978090i \(-0.566755\pi\)
0.951142 0.308753i \(-0.0999116\pi\)
\(480\) 1.14351 1.30092i 0.0521938 0.0593785i
\(481\) 15.3907 + 26.6575i 0.701755 + 1.21548i
\(482\) 14.3326 24.8249i 0.652834 1.13074i
\(483\) −5.84113 + 2.14050i −0.265781 + 0.0973960i
\(484\) 2.35146 + 4.07285i 0.106885 + 0.185130i
\(485\) −6.19076 + 10.7227i −0.281108 + 0.486893i
\(486\) 15.5607 0.930524i 0.705846 0.0422094i
\(487\) −9.99511 17.3120i −0.452922 0.784483i 0.545644 0.838017i \(-0.316285\pi\)
−0.998566 + 0.0535335i \(0.982952\pi\)
\(488\) −3.82899 −0.173330
\(489\) 11.7150 + 2.34421i 0.529773 + 0.106009i
\(490\) −3.19076 + 6.23049i −0.144144 + 0.281465i
\(491\) 15.5637 26.9570i 0.702378 1.21655i −0.265251 0.964179i \(-0.585455\pi\)
0.967629 0.252375i \(-0.0812117\pi\)
\(492\) 15.0542 + 3.01237i 0.678695 + 0.135808i
\(493\) 16.4897 28.5610i 0.742660 1.28632i
\(494\) 17.7495 + 30.7430i 0.798587 + 1.38319i
\(495\) −5.98299 + 4.56919i −0.268915 + 0.205370i
\(496\) −6.16523 −0.276827
\(497\) 8.19280 + 4.45925i 0.367497 + 0.200025i
\(498\) 5.80917 6.60881i 0.260315 0.296148i
\(499\) −7.40897 12.8327i −0.331671 0.574471i 0.651169 0.758933i \(-0.274279\pi\)
−0.982840 + 0.184462i \(0.940946\pi\)
\(500\) 1.00000 0.0447214
\(501\) 22.4596 + 4.49422i 1.00342 + 0.200787i
\(502\) −27.3920 −1.22257
\(503\) −2.45622 −0.109518 −0.0547588 0.998500i \(-0.517439\pi\)
−0.0547588 + 0.998500i \(0.517439\pi\)
\(504\) 7.84361 1.21565i 0.349382 0.0541493i
\(505\) 8.04024 0.357786
\(506\) −3.40658 −0.151441
\(507\) −25.7278 + 29.2693i −1.14261 + 1.29990i
\(508\) −1.08717 −0.0482355
\(509\) 6.67596 + 11.5631i 0.295907 + 0.512526i 0.975195 0.221345i \(-0.0710448\pi\)
−0.679289 + 0.733871i \(0.737712\pi\)
\(510\) −9.02797 1.80652i −0.399765 0.0799939i
\(511\) 0.745301 + 29.6264i 0.0329702 + 1.31059i
\(512\) −1.00000 −0.0441942
\(513\) −27.8133 + 13.5975i −1.22799 + 0.600345i
\(514\) −12.9546 22.4380i −0.571402 0.989698i
\(515\) −5.60483 + 9.70785i −0.246978 + 0.427779i
\(516\) 2.23648 2.54433i 0.0984554 0.112008i
\(517\) 2.56486 4.44246i 0.112802 0.195379i
\(518\) −11.6619 + 7.12992i −0.512393 + 0.313271i
\(519\) 8.47574 + 25.0629i 0.372044 + 1.10014i
\(520\) −5.95810 −0.261280
\(521\) −17.5850 30.4582i −0.770415 1.33440i −0.937336 0.348427i \(-0.886716\pi\)
0.166921 0.985970i \(-0.446617\pi\)
\(522\) 17.1796 + 7.16211i 0.751929 + 0.313477i
\(523\) 5.78531 10.0204i 0.252974 0.438164i −0.711369 0.702818i \(-0.751925\pi\)
0.964343 + 0.264655i \(0.0852580\pi\)
\(524\) −4.30124 7.44996i −0.187900 0.325453i
\(525\) 3.51690 + 2.93793i 0.153490 + 0.128222i
\(526\) 14.5434 25.1899i 0.634122 1.09833i
\(527\) 16.3860 + 28.3815i 0.713787 + 1.23632i
\(528\) 4.26192 + 0.852819i 0.185476 + 0.0371142i
\(529\) 10.5786 18.3226i 0.459937 0.796635i
\(530\) 0.179671 0.311199i 0.00780439 0.0135176i
\(531\) 6.83974 5.22349i 0.296820 0.226680i
\(532\) −13.4492 + 8.22266i −0.583096 + 0.356497i
\(533\) −26.4058 45.7362i −1.14376 1.98106i
\(534\) −1.24784 0.249696i −0.0539994 0.0108054i
\(535\) −7.53050 −0.325572
\(536\) −12.9461 −0.559185
\(537\) −0.531958 + 0.605184i −0.0229557 + 0.0261156i
\(538\) 4.69888 + 8.13870i 0.202583 + 0.350884i
\(539\) −17.5436 + 0.883234i −0.755655 + 0.0380436i
\(540\) 0.357641 5.18383i 0.0153904 0.223077i
\(541\) −2.16363 + 3.74752i −0.0930218 + 0.161119i −0.908781 0.417273i \(-0.862986\pi\)
0.815759 + 0.578391i \(0.196319\pi\)
\(542\) 0.571895 0.990552i 0.0245650 0.0425478i
\(543\) −14.4978 42.8703i −0.622160 1.83974i
\(544\) 2.65781 + 4.60347i 0.113953 + 0.197372i
\(545\) 5.59671 9.69378i 0.239737 0.415236i
\(546\) −20.9541 17.5045i −0.896751 0.749122i
\(547\) −0.544266 0.942697i −0.0232711 0.0403068i 0.854155 0.520018i \(-0.174075\pi\)
−0.877426 + 0.479711i \(0.840741\pi\)
\(548\) 1.02295 1.77180i 0.0436983 0.0756876i
\(549\) −9.12921 + 6.97195i −0.389625 + 0.297556i
\(550\) 1.25470 + 2.17320i 0.0535005 + 0.0926657i
\(551\) −36.9655 −1.57478
\(552\) 1.55235 1.76603i 0.0660722 0.0751673i
\(553\) −34.3913 18.7188i −1.46247 0.796003i
\(554\) −3.56388 + 6.17281i −0.151415 + 0.262258i
\(555\) 2.86664 + 8.47670i 0.121682 + 0.359816i
\(556\) 5.44268 9.42700i 0.230821 0.399794i
\(557\) −9.25764 16.0347i −0.392259 0.679412i 0.600488 0.799633i \(-0.294973\pi\)
−0.992747 + 0.120221i \(0.961640\pi\)
\(558\) −14.6993 + 11.2259i −0.622273 + 0.475228i
\(559\) −11.6529 −0.492863
\(560\) −0.0665372 2.64491i −0.00281171 0.111768i
\(561\) −7.40146 21.8862i −0.312490 0.924038i
\(562\) −9.36628 16.2229i −0.395093 0.684321i
\(563\) 12.4134 0.523163 0.261581 0.965181i \(-0.415756\pi\)
0.261581 + 0.965181i \(0.415756\pi\)
\(564\) 1.13427 + 3.35406i 0.0477614 + 0.141231i
\(565\) 11.6775 0.491277
\(566\) 31.6080 1.32858
\(567\) 16.4875 17.1803i 0.692410 0.721504i
\(568\) −3.52556 −0.147929
\(569\) 9.25085 0.387816 0.193908 0.981020i \(-0.437884\pi\)
0.193908 + 0.981020i \(0.437884\pi\)
\(570\) 3.30599 + 9.77586i 0.138473 + 0.409466i
\(571\) −12.1307 −0.507652 −0.253826 0.967250i \(-0.581689\pi\)
−0.253826 + 0.967250i \(0.581689\pi\)
\(572\) −7.47562 12.9482i −0.312572 0.541390i
\(573\) 11.4572 + 33.8791i 0.478630 + 1.41532i
\(574\) 20.0083 12.2328i 0.835130 0.510587i
\(575\) 1.35753 0.0566128
\(576\) −2.38423 + 1.82083i −0.0993431 + 0.0758680i
\(577\) 3.58092 + 6.20234i 0.149076 + 0.258207i 0.930886 0.365310i \(-0.119037\pi\)
−0.781810 + 0.623516i \(0.785704\pi\)
\(578\) 5.62796 9.74791i 0.234092 0.405460i
\(579\) 8.75592 + 25.8914i 0.363884 + 1.07601i
\(580\) 3.10212 5.37303i 0.128809 0.223103i
\(581\) −0.338017 13.4365i −0.0140233 0.557439i
\(582\) 14.1584 16.1073i 0.586884 0.667670i
\(583\) 0.901730 0.0373458
\(584\) −5.60063 9.70058i −0.231756 0.401413i
\(585\) −14.2055 + 10.8487i −0.587325 + 0.448539i
\(586\) 2.92595 5.06790i 0.120870 0.209353i
\(587\) −14.4975 25.1104i −0.598375 1.03642i −0.993061 0.117600i \(-0.962480\pi\)
0.394686 0.918816i \(-0.370853\pi\)
\(588\) 7.53656 9.49738i 0.310802 0.391665i
\(589\) 18.3665 31.8118i 0.756780 1.31078i
\(590\) −1.43437 2.48440i −0.0590521 0.102281i
\(591\) −6.19564 18.3206i −0.254854 0.753609i
\(592\) 2.58315 4.47415i 0.106167 0.183887i
\(593\) 15.1709 26.2768i 0.622994 1.07906i −0.365931 0.930642i \(-0.619249\pi\)
0.988925 0.148416i \(-0.0474174\pi\)
\(594\) 11.7142 5.72692i 0.480641 0.234978i
\(595\) −11.9989 + 7.33600i −0.491909 + 0.300746i
\(596\) 0.250077 + 0.433146i 0.0102435 + 0.0177423i
\(597\) −29.6862 + 33.7726i −1.21497 + 1.38222i
\(598\) −8.08829 −0.330755
\(599\) −14.9439 −0.610593 −0.305297 0.952257i \(-0.598756\pi\)
−0.305297 + 0.952257i \(0.598756\pi\)
\(600\) −1.69838 0.339850i −0.0693362 0.0138743i
\(601\) 4.85451 + 8.40827i 0.198020 + 0.342980i 0.947886 0.318609i \(-0.103216\pi\)
−0.749866 + 0.661589i \(0.769882\pi\)
\(602\) −0.130134 5.17292i −0.00530385 0.210833i
\(603\) −30.8664 + 23.5726i −1.25698 + 0.959951i
\(604\) 8.28820 14.3556i 0.337242 0.584120i
\(605\) 2.35146 4.07285i 0.0956005 0.165585i
\(606\) −13.6554 2.73247i −0.554712 0.110999i
\(607\) 7.93110 + 13.7371i 0.321913 + 0.557570i 0.980883 0.194599i \(-0.0623407\pi\)
−0.658969 + 0.752170i \(0.729007\pi\)
\(608\) 2.97905 5.15987i 0.120816 0.209260i
\(609\) 26.6954 9.78261i 1.08175 0.396411i
\(610\) 1.91450 + 3.31600i 0.0775157 + 0.134261i
\(611\) 6.08978 10.5478i 0.246366 0.426718i
\(612\) 14.7190 + 6.13631i 0.594980 + 0.248046i
\(613\) 17.2918 + 29.9503i 0.698409 + 1.20968i 0.969018 + 0.246991i \(0.0794417\pi\)
−0.270609 + 0.962689i \(0.587225\pi\)
\(614\) −18.0889 −0.730007
\(615\) −4.91830 14.5435i −0.198325 0.586450i
\(616\) 5.66445 3.46317i 0.228227 0.139535i
\(617\) −5.89064 + 10.2029i −0.237148 + 0.410753i −0.959895 0.280360i \(-0.909546\pi\)
0.722747 + 0.691113i \(0.242879\pi\)
\(618\) 12.8184 14.5828i 0.515630 0.586608i
\(619\) −17.4140 + 30.1620i −0.699928 + 1.21231i 0.268562 + 0.963262i \(0.413451\pi\)
−0.968491 + 0.249049i \(0.919882\pi\)
\(620\) 3.08262 + 5.33925i 0.123801 + 0.214429i
\(621\) 0.485508 7.03719i 0.0194828 0.282393i
\(622\) −28.7843 −1.15415
\(623\) −1.65849 + 1.01398i −0.0664460 + 0.0406242i
\(624\) 10.1191 + 2.02486i 0.405090 + 0.0810593i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 0.185134 0.00739944
\(627\) −17.0969 + 19.4503i −0.682784 + 0.776772i
\(628\) −1.10586 −0.0441285
\(629\) −27.4622 −1.09499
\(630\) −4.97459 6.18494i −0.198192 0.246414i
\(631\) −21.5511 −0.857934 −0.428967 0.903320i \(-0.641122\pi\)
−0.428967 + 0.903320i \(0.641122\pi\)
\(632\) 14.7994 0.588688
\(633\) 10.0903 + 2.01909i 0.401053 + 0.0802516i
\(634\) −5.86194 −0.232807
\(635\) 0.543587 + 0.941520i 0.0215716 + 0.0373631i
\(636\) −0.410910 + 0.467473i −0.0162936 + 0.0185365i
\(637\) −41.6540 + 2.09708i −1.65039 + 0.0830892i
\(638\) 15.5689 0.616379
\(639\) −8.40575 + 6.41945i −0.332526 + 0.253950i
\(640\) 0.500000 + 0.866025i 0.0197642 + 0.0342327i
\(641\) 11.2726 19.5247i 0.445241 0.771180i −0.552828 0.833295i \(-0.686451\pi\)
0.998069 + 0.0621154i \(0.0197847\pi\)
\(642\) 12.7897 + 2.55924i 0.504768 + 0.101005i
\(643\) 4.05308 7.02014i 0.159838 0.276847i −0.774972 0.631995i \(-0.782236\pi\)
0.934810 + 0.355148i \(0.115570\pi\)
\(644\) −0.0903261 3.59054i −0.00355935 0.141487i
\(645\) −3.32170 0.664678i −0.130792 0.0261717i
\(646\) −31.6711 −1.24608
\(647\) 13.3586 + 23.1378i 0.525180 + 0.909639i 0.999570 + 0.0293242i \(0.00933553\pi\)
−0.474389 + 0.880315i \(0.657331\pi\)
\(648\) −2.36914 + 8.68258i −0.0930685 + 0.341084i
\(649\) 3.59940 6.23435i 0.141289 0.244720i
\(650\) 2.97905 + 5.15987i 0.116848 + 0.202387i
\(651\) −4.84506 + 27.8341i −0.189893 + 1.09090i
\(652\) −3.44888 + 5.97364i −0.135069 + 0.233946i
\(653\) −3.03938 5.26436i −0.118940 0.206010i 0.800408 0.599456i \(-0.204616\pi\)
−0.919348 + 0.393446i \(0.871283\pi\)
\(654\) −12.7998 + 14.5617i −0.500511 + 0.569408i
\(655\) −4.30124 + 7.44996i −0.168063 + 0.291094i
\(656\) −4.43192 + 7.67631i −0.173037 + 0.299709i
\(657\) −31.0163 12.9306i −1.21006 0.504472i
\(658\) 4.75038 + 2.58557i 0.185189 + 0.100796i
\(659\) −3.02425 5.23816i −0.117808 0.204050i 0.801091 0.598543i \(-0.204253\pi\)
−0.918899 + 0.394493i \(0.870920\pi\)
\(660\) −1.39240 4.11734i −0.0541989 0.160267i
\(661\) 9.99425 0.388731 0.194366 0.980929i \(-0.437735\pi\)
0.194366 + 0.980929i \(0.437735\pi\)
\(662\) 1.74896 0.0679752
\(663\) −17.5734 51.9648i −0.682494 2.01815i
\(664\) 2.54006 + 4.39951i 0.0985734 + 0.170734i
\(665\) 13.8456 + 7.53601i 0.536910 + 0.292234i
\(666\) −1.98784 15.3709i −0.0770274 0.595611i
\(667\) 4.21121 7.29404i 0.163059 0.282426i
\(668\) −6.61206 + 11.4524i −0.255828 + 0.443108i
\(669\) −18.8359 + 21.4287i −0.728238 + 0.828482i
\(670\) 6.47303 + 11.2116i 0.250075 + 0.433142i
\(671\) −4.80423 + 8.32117i −0.185465 + 0.321235i
\(672\) −0.785868 + 4.51469i −0.0303155 + 0.174158i
\(673\) 2.40233 + 4.16096i 0.0926031 + 0.160393i 0.908606 0.417655i \(-0.137148\pi\)
−0.816003 + 0.578048i \(0.803815\pi\)
\(674\) −8.99813 + 15.5852i −0.346595 + 0.600320i
\(675\) −4.66815 + 2.28219i −0.179677 + 0.0878415i
\(676\) −11.2495 19.4847i −0.432673 0.749411i
\(677\) −48.9810 −1.88249 −0.941247 0.337719i \(-0.890345\pi\)
−0.941247 + 0.337719i \(0.890345\pi\)
\(678\) −19.8329 3.96860i −0.761677 0.152413i
\(679\) −0.823832 32.7480i −0.0316158 1.25675i
\(680\) 2.65781 4.60347i 0.101923 0.176535i
\(681\) 30.2596 + 6.05501i 1.15955 + 0.232028i
\(682\) −7.73551 + 13.3983i −0.296208 + 0.513047i
\(683\) 8.41351 + 14.5726i 0.321934 + 0.557606i 0.980887 0.194578i \(-0.0623338\pi\)
−0.658953 + 0.752184i \(0.729000\pi\)
\(684\) −2.29250 17.7267i −0.0876561 0.677797i
\(685\) −2.04590 −0.0781699
\(686\) −1.39610 18.4676i −0.0533035 0.705095i
\(687\) 26.4316 30.0700i 1.00843 1.14724i
\(688\) 0.977900 + 1.69377i 0.0372821 + 0.0645745i
\(689\) 2.14099 0.0815653
\(690\) −2.30560 0.461356i −0.0877727 0.0175635i
\(691\) 13.1129 0.498840 0.249420 0.968395i \(-0.419760\pi\)
0.249420 + 0.968395i \(0.419760\pi\)
\(692\) −15.2751 −0.580673
\(693\) 7.19952 18.5710i 0.273487 0.705455i
\(694\) 4.14672 0.157407
\(695\) −10.8854 −0.412905
\(696\) −7.09461 + 8.07120i −0.268920 + 0.305938i
\(697\) 47.1169 1.78468
\(698\) 11.4215 + 19.7827i 0.432312 + 0.748786i
\(699\) −16.8111 3.36394i −0.635855 0.127236i
\(700\) −2.25729 + 1.38008i −0.0853177 + 0.0521621i
\(701\) 20.8396 0.787099 0.393550 0.919303i \(-0.371247\pi\)
0.393550 + 0.919303i \(0.371247\pi\)
\(702\) 27.8133 13.5975i 1.04975 0.513205i
\(703\) 15.3907 + 26.6575i 0.580471 + 1.00540i
\(704\) −1.25470 + 2.17320i −0.0472882 + 0.0819056i
\(705\) 2.33756 2.65934i 0.0880377 0.100156i
\(706\) −11.7572 + 20.3640i −0.442487 + 0.766409i
\(707\) −18.1492 + 11.0962i −0.682570 + 0.417314i
\(708\) 1.59178 + 4.70693i 0.0598229 + 0.176897i
\(709\) −12.8592 −0.482938 −0.241469 0.970408i \(-0.577629\pi\)
−0.241469 + 0.970408i \(0.577629\pi\)
\(710\) 1.76278 + 3.05322i 0.0661559 + 0.114585i
\(711\) 35.2852 26.9472i 1.32330 1.01060i
\(712\) 0.367362 0.636290i 0.0137675 0.0238460i
\(713\) 4.18474 + 7.24817i 0.156720 + 0.271446i
\(714\) 22.8719 8.38148i 0.855960 0.313669i
\(715\) −7.47562 + 12.9482i −0.279573 + 0.484234i
\(716\) −0.232599 0.402873i −0.00869263 0.0150561i
\(717\) 43.1163 + 8.62766i 1.61021 + 0.322206i
\(718\) 6.12241 10.6043i 0.228486 0.395750i
\(719\) 9.29950 16.1072i 0.346813 0.600698i −0.638869 0.769316i \(-0.720597\pi\)
0.985681 + 0.168618i \(0.0539306\pi\)
\(720\) 2.76900 + 1.15439i 0.103195 + 0.0430216i
\(721\) −0.745860 29.6486i −0.0277773 1.10417i
\(722\) 8.24949 + 14.2885i 0.307014 + 0.531764i
\(723\) 48.6846 + 9.74190i 1.81060 + 0.362305i
\(724\) 26.1282 0.971046
\(725\) −6.20424 −0.230420
\(726\) −5.37784 + 6.11811i −0.199590 + 0.227064i
\(727\) −7.48277 12.9605i −0.277520 0.480680i 0.693247 0.720700i \(-0.256179\pi\)
−0.970768 + 0.240020i \(0.922846\pi\)
\(728\) 13.4492 8.22266i 0.498460 0.304752i
\(729\) 10.1610 + 25.0151i 0.376332 + 0.926485i
\(730\) −5.60063 + 9.70058i −0.207289 + 0.359034i
\(731\) 5.19815 9.00347i 0.192261 0.333005i
\(732\) −2.12460 6.28248i −0.0785275 0.232207i
\(733\) 12.4231 + 21.5174i 0.458857 + 0.794764i 0.998901 0.0468727i \(-0.0149255\pi\)
−0.540043 + 0.841637i \(0.681592\pi\)
\(734\) −5.78768 + 10.0246i −0.213627 + 0.370013i
\(735\) −11.9933 1.77816i −0.442378 0.0655884i
\(736\) 0.678764 + 1.17565i 0.0250196 + 0.0433352i
\(737\) −16.2434 + 28.1344i −0.598334 + 1.03634i
\(738\) 3.41055 + 26.3719i 0.125544 + 0.970762i
\(739\) 2.77974 + 4.81466i 0.102254 + 0.177110i 0.912613 0.408824i \(-0.134061\pi\)
−0.810359 + 0.585934i \(0.800728\pi\)
\(740\) −5.16631 −0.189917
\(741\) −40.5934 + 46.1812i −1.49124 + 1.69651i
\(742\) 0.0239096 + 0.950427i 0.000877748 + 0.0348913i
\(743\) −13.6878 + 23.7080i −0.502157 + 0.869762i 0.497840 + 0.867269i \(0.334127\pi\)
−0.999997 + 0.00249280i \(0.999207\pi\)
\(744\) −3.42092 10.1157i −0.125417 0.370860i
\(745\) 0.250077 0.433146i 0.00916210 0.0158692i
\(746\) −7.15324 12.3898i −0.261899 0.453622i
\(747\) 14.0669 + 5.86444i 0.514680 + 0.214569i
\(748\) 13.3390 0.487723
\(749\) 16.9985 10.3927i 0.621113 0.379741i
\(750\) 0.554872 + 1.64077i 0.0202611 + 0.0599123i
\(751\) 20.0674 + 34.7578i 0.732271 + 1.26833i 0.955910 + 0.293659i \(0.0948731\pi\)
−0.223639 + 0.974672i \(0.571794\pi\)
\(752\) −2.04420 −0.0745443
\(753\) −15.1991 44.9439i −0.553885 1.63785i
\(754\) 36.9655 1.34620
\(755\) −16.5764 −0.603277
\(756\) 6.34680 + 12.1950i 0.230831 + 0.443528i
\(757\) −2.26550 −0.0823410 −0.0411705 0.999152i \(-0.513109\pi\)
−0.0411705 + 0.999152i \(0.513109\pi\)
\(758\) 5.19451 0.188673
\(759\) −1.89022 5.58940i −0.0686105 0.202882i
\(760\) −5.95810 −0.216123
\(761\) 5.36510 + 9.29263i 0.194485 + 0.336858i 0.946732 0.322024i \(-0.104363\pi\)
−0.752247 + 0.658882i \(0.771030\pi\)
\(762\) −0.603243 1.78380i −0.0218532 0.0646202i
\(763\) 0.744779 + 29.6056i 0.0269628 + 1.07180i
\(764\) −20.6483 −0.747029
\(765\) −2.04530 15.8152i −0.0739479 0.571799i
\(766\) 5.92200 + 10.2572i 0.213971 + 0.370608i
\(767\) 8.54612 14.8023i 0.308583 0.534481i
\(768\) −0.554872 1.64077i −0.0200222 0.0592061i
\(769\) 3.58422 6.20804i 0.129250 0.223868i −0.794136 0.607740i \(-0.792076\pi\)
0.923386 + 0.383872i \(0.125410\pi\)
\(770\) −5.83142 3.17397i −0.210150 0.114382i
\(771\) 29.6274 33.7057i 1.06700 1.21388i
\(772\) −15.7801