Properties

Label 483.2.bf.a.178.7
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.7
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.83854 + 0.175559i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(1.38555 - 0.267043i) q^{4} +(-1.78049 - 0.917909i) q^{5} +(1.39580 + 1.20946i) q^{6} +(-2.33814 + 1.23818i) q^{7} +(1.04367 - 0.306449i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(-1.83854 + 0.175559i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(1.38555 - 0.267043i) q^{4} +(-1.78049 - 0.917909i) q^{5} +(1.39580 + 1.20946i) q^{6} +(-2.33814 + 1.23818i) q^{7} +(1.04367 - 0.306449i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(3.43466 + 1.37503i) q^{10} +(0.533514 - 5.58721i) q^{11} +(-1.14941 - 0.818491i) q^{12} +(-3.84719 + 0.553142i) q^{13} +(4.08140 - 2.68692i) q^{14} +(0.564360 + 1.92203i) q^{15} +(-4.48498 + 1.79551i) q^{16} +(-0.0974896 - 0.281678i) q^{17} +(-0.0878792 - 1.84481i) q^{18} +(-0.874570 + 2.52690i) q^{19} +(-2.71209 - 0.796342i) q^{20} +(2.50962 + 0.837753i) q^{21} +10.3660i q^{22} +(2.41594 + 4.14285i) q^{23} +(-0.942001 - 0.543865i) q^{24} +(-0.572679 - 0.804215i) q^{25} +(6.97610 - 1.69238i) q^{26} +(0.755750 - 0.654861i) q^{27} +(-2.90897 + 2.33995i) q^{28} +(0.420091 - 0.484811i) q^{29} +(-1.37503 - 3.43466i) q^{30} +(4.06567 + 0.986322i) q^{31} +(5.99697 - 3.09165i) q^{32} +(-4.41182 + 3.46949i) q^{33} +(0.228690 + 0.500760i) q^{34} +(5.29959 - 0.0583671i) q^{35} +(0.200814 + 1.39669i) q^{36} +(11.4393 + 0.544921i) q^{37} +(1.16431 - 4.79935i) q^{38} +(3.05519 + 2.40263i) q^{39} +(-2.13954 - 0.412362i) q^{40} +(2.97170 + 4.62406i) q^{41} +(-4.76111 - 1.09966i) q^{42} +(-3.58652 + 12.2146i) q^{43} +(-0.752816 - 7.88385i) q^{44} +(1.00159 - 1.73480i) q^{45} +(-5.16912 - 7.19266i) q^{46} +(-5.76436 + 3.32806i) q^{47} +(4.39446 + 2.00688i) q^{48} +(3.93383 - 5.79008i) q^{49} +(1.19408 + 1.37804i) q^{50} +(-0.136584 + 0.264936i) q^{51} +(-5.18277 + 1.79377i) q^{52} +(-3.24847 + 4.13077i) q^{53} +(-1.27451 + 1.33667i) q^{54} +(-6.07847 + 9.45828i) q^{55} +(-2.06081 + 2.00877i) q^{56} +(2.43233 - 1.11081i) q^{57} +(-0.687242 + 0.965096i) q^{58} +(-0.264548 + 0.660809i) q^{59} +(1.29522 + 2.51237i) q^{60} +(9.28481 + 8.85305i) q^{61} +(-7.64806 - 1.09963i) q^{62} +(-1.12552 - 2.39441i) q^{63} +(-2.35466 + 1.51325i) q^{64} +(7.35763 + 2.54650i) q^{65} +(7.50221 - 7.15334i) q^{66} +(8.35399 - 5.94885i) q^{67} +(-0.210297 - 0.364245i) q^{68} +(1.33113 - 4.60739i) q^{69} +(-9.73326 + 1.03770i) q^{70} +(0.457114 - 1.00094i) q^{71} +(0.256442 + 1.05707i) q^{72} +(2.56947 + 13.3317i) q^{73} +(-21.1273 + 1.00642i) q^{74} +(-0.186844 + 0.969439i) q^{75} +(-0.536970 + 3.73471i) q^{76} +(5.67053 + 13.7243i) q^{77} +(-6.03890 - 3.88096i) q^{78} +(-6.90116 - 8.77554i) q^{79} +(9.63360 + 0.919897i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-6.27540 - 7.97982i) q^{82} +(-8.84294 - 5.68301i) q^{83} +(3.70092 + 0.490575i) q^{84} +(-0.0849747 + 0.591012i) q^{85} +(4.44958 - 23.0866i) q^{86} +(-0.640770 + 0.0305237i) q^{87} +(-1.15538 - 5.99469i) q^{88} +(0.297279 + 1.22540i) q^{89} +(-1.53690 + 3.36534i) q^{90} +(8.31039 - 6.05683i) q^{91} +(4.45374 + 5.09498i) q^{92} +(-2.09180 - 3.62311i) q^{93} +(10.0137 - 7.13076i) q^{94} +(3.87663 - 3.69636i) q^{95} +(-6.37592 - 2.20673i) q^{96} +(-2.10791 + 1.35467i) q^{97} +(-6.21600 + 11.3359i) q^{98} +(5.55549 + 0.798760i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.83854 + 0.175559i −1.30004 + 0.124139i −0.722015 0.691877i \(-0.756784\pi\)
−0.578029 + 0.816016i \(0.696178\pi\)
\(3\) −0.690079 0.723734i −0.398417 0.417848i
\(4\) 1.38555 0.267043i 0.692777 0.133522i
\(5\) −1.78049 0.917909i −0.796262 0.410501i 0.0115565 0.999933i \(-0.496321\pi\)
−0.807818 + 0.589432i \(0.799352\pi\)
\(6\) 1.39580 + 1.20946i 0.569832 + 0.493762i
\(7\) −2.33814 + 1.23818i −0.883735 + 0.467987i
\(8\) 1.04367 0.306449i 0.368993 0.108346i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) 3.43466 + 1.37503i 1.08613 + 0.434823i
\(11\) 0.533514 5.58721i 0.160860 1.68461i −0.450125 0.892965i \(-0.648621\pi\)
0.610986 0.791642i \(-0.290773\pi\)
\(12\) −1.14941 0.818491i −0.331806 0.236278i
\(13\) −3.84719 + 0.553142i −1.06702 + 0.153414i −0.653382 0.757028i \(-0.726650\pi\)
−0.413636 + 0.910442i \(0.635741\pi\)
\(14\) 4.08140 2.68692i 1.09080 0.718111i
\(15\) 0.564360 + 1.92203i 0.145717 + 0.496267i
\(16\) −4.48498 + 1.79551i −1.12124 + 0.448879i
\(17\) −0.0974896 0.281678i −0.0236447 0.0683169i 0.932561 0.361013i \(-0.117569\pi\)
−0.956206 + 0.292696i \(0.905448\pi\)
\(18\) −0.0878792 1.84481i −0.0207133 0.434826i
\(19\) −0.874570 + 2.52690i −0.200640 + 0.579711i −0.999770 0.0214469i \(-0.993173\pi\)
0.799130 + 0.601158i \(0.205294\pi\)
\(20\) −2.71209 0.796342i −0.606442 0.178067i
\(21\) 2.50962 + 0.837753i 0.547643 + 0.182813i
\(22\) 10.3660i 2.21003i
\(23\) 2.41594 + 4.14285i 0.503758 + 0.863845i
\(24\) −0.942001 0.543865i −0.192285 0.111016i
\(25\) −0.572679 0.804215i −0.114536 0.160843i
\(26\) 6.97610 1.69238i 1.36813 0.331904i
\(27\) 0.755750 0.654861i 0.145444 0.126028i
\(28\) −2.90897 + 2.33995i −0.549744 + 0.442208i
\(29\) 0.420091 0.484811i 0.0780090 0.0900272i −0.715403 0.698712i \(-0.753757\pi\)
0.793412 + 0.608685i \(0.208302\pi\)
\(30\) −1.37503 3.43466i −0.251045 0.627080i
\(31\) 4.06567 + 0.986322i 0.730216 + 0.177149i 0.583596 0.812044i \(-0.301645\pi\)
0.146621 + 0.989193i \(0.453160\pi\)
\(32\) 5.99697 3.09165i 1.06012 0.546532i
\(33\) −4.41182 + 3.46949i −0.767999 + 0.603961i
\(34\) 0.228690 + 0.500760i 0.0392200 + 0.0858797i
\(35\) 5.29959 0.0583671i 0.895794 0.00986585i
\(36\) 0.200814 + 1.39669i 0.0334690 + 0.232782i
\(37\) 11.4393 + 0.544921i 1.88061 + 0.0895845i 0.956358 0.292198i \(-0.0943865\pi\)
0.924252 + 0.381782i \(0.124690\pi\)
\(38\) 1.16431 4.79935i 0.188876 0.778558i
\(39\) 3.05519 + 2.40263i 0.489222 + 0.384728i
\(40\) −2.13954 0.412362i −0.338291 0.0652002i
\(41\) 2.97170 + 4.62406i 0.464102 + 0.722157i 0.991873 0.127229i \(-0.0406085\pi\)
−0.527771 + 0.849387i \(0.676972\pi\)
\(42\) −4.76111 1.09966i −0.734654 0.169681i
\(43\) −3.58652 + 12.2146i −0.546939 + 1.86270i −0.0427978 + 0.999084i \(0.513627\pi\)
−0.504142 + 0.863621i \(0.668191\pi\)
\(44\) −0.752816 7.88385i −0.113491 1.18853i
\(45\) 1.00159 1.73480i 0.149308 0.258609i
\(46\) −5.16912 7.19266i −0.762145 1.06050i
\(47\) −5.76436 + 3.32806i −0.840819 + 0.485447i −0.857542 0.514413i \(-0.828010\pi\)
0.0167236 + 0.999860i \(0.494676\pi\)
\(48\) 4.39446 + 2.00688i 0.634286 + 0.289669i
\(49\) 3.93383 5.79008i 0.561976 0.827154i
\(50\) 1.19408 + 1.37804i 0.168869 + 0.194885i
\(51\) −0.136584 + 0.264936i −0.0191256 + 0.0370985i
\(52\) −5.18277 + 1.79377i −0.718721 + 0.248752i
\(53\) −3.24847 + 4.13077i −0.446212 + 0.567405i −0.956177 0.292791i \(-0.905416\pi\)
0.509965 + 0.860195i \(0.329659\pi\)
\(54\) −1.27451 + 1.33667i −0.173439 + 0.181897i
\(55\) −6.07847 + 9.45828i −0.819620 + 1.27535i
\(56\) −2.06081 + 2.00877i −0.275387 + 0.268433i
\(57\) 2.43233 1.11081i 0.322170 0.147130i
\(58\) −0.687242 + 0.965096i −0.0902392 + 0.126723i
\(59\) −0.264548 + 0.660809i −0.0344412 + 0.0860300i −0.944591 0.328248i \(-0.893542\pi\)
0.910150 + 0.414278i \(0.135966\pi\)
\(60\) 1.29522 + 2.51237i 0.167212 + 0.324346i
\(61\) 9.28481 + 8.85305i 1.18880 + 1.13352i 0.988092 + 0.153865i \(0.0491721\pi\)
0.200706 + 0.979651i \(0.435676\pi\)
\(62\) −7.64806 1.09963i −0.971305 0.139653i
\(63\) −1.12552 2.39441i −0.141802 0.301667i
\(64\) −2.35466 + 1.51325i −0.294332 + 0.189156i
\(65\) 7.35763 + 2.54650i 0.912602 + 0.315855i
\(66\) 7.50221 7.15334i 0.923458 0.880515i
\(67\) 8.35399 5.94885i 1.02060 0.726768i 0.0581751 0.998306i \(-0.481472\pi\)
0.962428 + 0.271539i \(0.0875324\pi\)
\(68\) −0.210297 0.364245i −0.0255023 0.0441712i
\(69\) 1.33113 4.60739i 0.160250 0.554665i
\(70\) −9.73326 + 1.03770i −1.16335 + 0.124029i
\(71\) 0.457114 1.00094i 0.0542494 0.118790i −0.880566 0.473923i \(-0.842837\pi\)
0.934816 + 0.355134i \(0.115565\pi\)
\(72\) 0.256442 + 1.05707i 0.0302220 + 0.124577i
\(73\) 2.56947 + 13.3317i 0.300733 + 1.56035i 0.746613 + 0.665259i \(0.231679\pi\)
−0.445880 + 0.895093i \(0.647109\pi\)
\(74\) −21.1273 + 1.00642i −2.45600 + 0.116994i
\(75\) −0.186844 + 0.969439i −0.0215749 + 0.111941i
\(76\) −0.536970 + 3.73471i −0.0615947 + 0.428400i
\(77\) 5.67053 + 13.7243i 0.646217 + 1.56403i
\(78\) −6.03890 3.88096i −0.683770 0.439433i
\(79\) −6.90116 8.77554i −0.776441 0.987325i −0.999920 0.0126166i \(-0.995984\pi\)
0.223479 0.974709i \(-0.428259\pi\)
\(80\) 9.63360 + 0.919897i 1.07707 + 0.102848i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) −6.27540 7.97982i −0.693002 0.881223i
\(83\) −8.84294 5.68301i −0.970639 0.623792i −0.0437160 0.999044i \(-0.513920\pi\)
−0.926923 + 0.375252i \(0.877556\pi\)
\(84\) 3.70092 + 0.490575i 0.403804 + 0.0535261i
\(85\) −0.0849747 + 0.591012i −0.00921680 + 0.0641043i
\(86\) 4.44958 23.0866i 0.479811 2.48950i
\(87\) −0.640770 + 0.0305237i −0.0686978 + 0.00327248i
\(88\) −1.15538 5.99469i −0.123164 0.639036i
\(89\) 0.297279 + 1.22540i 0.0315115 + 0.129892i 0.985395 0.170286i \(-0.0544691\pi\)
−0.953883 + 0.300178i \(0.902954\pi\)
\(90\) −1.53690 + 3.36534i −0.162004 + 0.354738i
\(91\) 8.31039 6.05683i 0.871165 0.634928i
\(92\) 4.45374 + 5.09498i 0.464334 + 0.531189i
\(93\) −2.09180 3.62311i −0.216910 0.375699i
\(94\) 10.0137 7.13076i 1.03284 0.735481i
\(95\) 3.87663 3.69636i 0.397734 0.379239i
\(96\) −6.37592 2.20673i −0.650740 0.225223i
\(97\) −2.10791 + 1.35467i −0.214025 + 0.137546i −0.643261 0.765647i \(-0.722419\pi\)
0.429236 + 0.903192i \(0.358783\pi\)
\(98\) −6.21600 + 11.3359i −0.627911 + 1.14510i
\(99\) 5.55549 + 0.798760i 0.558348 + 0.0802784i
\(100\) −1.00824 0.961353i −0.100824 0.0961353i
\(101\) −6.05808 11.7510i −0.602801 1.16927i −0.970900 0.239485i \(-0.923022\pi\)
0.368099 0.929787i \(-0.380009\pi\)
\(102\) 0.204603 0.511075i 0.0202588 0.0506039i
\(103\) −9.92300 + 13.9349i −0.977743 + 1.37305i −0.0504431 + 0.998727i \(0.516063\pi\)
−0.927299 + 0.374320i \(0.877876\pi\)
\(104\) −3.84568 + 1.75626i −0.377100 + 0.172216i
\(105\) −3.69938 3.79521i −0.361022 0.370375i
\(106\) 5.24725 8.16489i 0.509658 0.793044i
\(107\) 7.54815 7.91628i 0.729708 0.765295i −0.249452 0.968387i \(-0.580251\pi\)
0.979160 + 0.203092i \(0.0650990\pi\)
\(108\) 0.872255 1.10916i 0.0839328 0.106729i
\(109\) −0.757924 + 0.262320i −0.0725960 + 0.0251257i −0.363125 0.931741i \(-0.618290\pi\)
0.290529 + 0.956866i \(0.406169\pi\)
\(110\) 9.51502 18.4566i 0.907222 1.75976i
\(111\) −7.49965 8.65505i −0.711835 0.821501i
\(112\) 8.26336 9.75137i 0.780814 0.921418i
\(113\) −5.73993 2.62134i −0.539967 0.246595i 0.126712 0.991940i \(-0.459558\pi\)
−0.666679 + 0.745345i \(0.732285\pi\)
\(114\) −4.27692 + 2.46928i −0.400570 + 0.231269i
\(115\) −0.498808 9.59394i −0.0465140 0.894640i
\(116\) 0.452593 0.783914i 0.0420222 0.0727846i
\(117\) −0.369459 3.86915i −0.0341565 0.357703i
\(118\) 0.370371 1.26137i 0.0340954 0.116118i
\(119\) 0.576712 + 0.537893i 0.0528671 + 0.0493086i
\(120\) 1.17801 + 1.83302i 0.107537 + 0.167331i
\(121\) −20.1311 3.87994i −1.83010 0.352722i
\(122\) −18.6247 14.6467i −1.68620 1.32605i
\(123\) 1.29588 5.34169i 0.116846 0.481644i
\(124\) 5.89660 + 0.280889i 0.529530 + 0.0252246i
\(125\) 1.70687 + 11.8715i 0.152667 + 1.06182i
\(126\) 2.48968 + 4.20462i 0.221798 + 0.374578i
\(127\) −0.279683 0.612420i −0.0248178 0.0543434i 0.896817 0.442401i \(-0.145873\pi\)
−0.921635 + 0.388058i \(0.873146\pi\)
\(128\) −6.54353 + 5.14589i −0.578372 + 0.454837i
\(129\) 11.3151 5.83333i 0.996238 0.513596i
\(130\) −13.9744 3.39014i −1.22563 0.297335i
\(131\) −1.49492 3.73412i −0.130612 0.326252i 0.848618 0.529006i \(-0.177435\pi\)
−0.979230 + 0.202754i \(0.935011\pi\)
\(132\) −5.18630 + 5.98531i −0.451410 + 0.520955i
\(133\) −1.08389 6.99114i −0.0939849 0.606208i
\(134\) −14.3148 + 12.4038i −1.23661 + 1.07153i
\(135\) −1.94671 + 0.472267i −0.167546 + 0.0406463i
\(136\) −0.188067 0.264102i −0.0161266 0.0226466i
\(137\) 9.41124 + 5.43358i 0.804056 + 0.464222i 0.844888 0.534944i \(-0.179667\pi\)
−0.0408313 + 0.999166i \(0.513001\pi\)
\(138\) −1.63847 + 8.70457i −0.139476 + 0.740983i
\(139\) 5.66692i 0.480662i −0.970691 0.240331i \(-0.922744\pi\)
0.970691 0.240331i \(-0.0772559\pi\)
\(140\) 7.32727 1.49609i 0.619268 0.126443i
\(141\) 6.38649 + 1.87524i 0.537840 + 0.157924i
\(142\) −0.664698 + 1.92052i −0.0557802 + 0.161166i
\(143\) 1.03799 + 21.7901i 0.0868013 + 1.82218i
\(144\) −1.58008 4.56533i −0.131673 0.380444i
\(145\) −1.19298 + 0.477598i −0.0990718 + 0.0396624i
\(146\) −7.06456 24.0597i −0.584667 1.99119i
\(147\) −6.90513 + 1.14856i −0.569525 + 0.0947319i
\(148\) 15.9953 2.29977i 1.31480 0.189040i
\(149\) 11.8753 + 8.45640i 0.972866 + 0.692775i 0.951709 0.307001i \(-0.0993256\pi\)
0.0211572 + 0.999776i \(0.493265\pi\)
\(150\) 0.173326 1.81516i 0.0141520 0.148207i
\(151\) 2.32228 + 0.929702i 0.188985 + 0.0756581i 0.464225 0.885717i \(-0.346333\pi\)
−0.275240 + 0.961376i \(0.588757\pi\)
\(152\) −0.138395 + 2.90526i −0.0112253 + 0.235648i
\(153\) 0.285997 0.0839764i 0.0231215 0.00678909i
\(154\) −12.8349 24.2371i −1.03427 1.95308i
\(155\) −6.33356 5.48806i −0.508724 0.440811i
\(156\) 4.87473 + 2.51310i 0.390291 + 0.201209i
\(157\) 16.9277 3.26255i 1.35098 0.260380i 0.538134 0.842860i \(-0.319130\pi\)
0.812845 + 0.582480i \(0.197917\pi\)
\(158\) 14.2287 + 14.9226i 1.13197 + 1.18718i
\(159\) 5.23128 0.499527i 0.414868 0.0396150i
\(160\) −13.5154 −1.06849
\(161\) −10.7784 6.69522i −0.849457 0.527657i
\(162\) 1.84690 0.145106
\(163\) −1.49634 + 0.142883i −0.117202 + 0.0111914i −0.153492 0.988150i \(-0.549052\pi\)
0.0362902 + 0.999341i \(0.488446\pi\)
\(164\) 5.35228 + 5.61331i 0.417943 + 0.438326i
\(165\) 11.0399 2.12777i 0.859455 0.165646i
\(166\) 17.2558 + 8.89599i 1.33931 + 0.690462i
\(167\) −4.30395 3.72940i −0.333050 0.288589i 0.472241 0.881470i \(-0.343445\pi\)
−0.805291 + 0.592880i \(0.797991\pi\)
\(168\) 2.87593 + 0.105268i 0.221883 + 0.00812162i
\(169\) 2.02147 0.593558i 0.155498 0.0456583i
\(170\) 0.0524718 1.10152i 0.00402440 0.0844826i
\(171\) −2.48243 0.993814i −0.189836 0.0759989i
\(172\) −1.70749 + 17.8817i −0.130195 + 1.36347i
\(173\) 1.58563 + 1.12912i 0.120553 + 0.0858457i 0.638743 0.769420i \(-0.279455\pi\)
−0.518190 + 0.855266i \(0.673394\pi\)
\(174\) 1.17272 0.168612i 0.0889039 0.0127825i
\(175\) 2.33477 + 1.17129i 0.176492 + 0.0885413i
\(176\) 7.63912 + 26.0164i 0.575820 + 1.96106i
\(177\) 0.660809 0.264548i 0.0496695 0.0198847i
\(178\) −0.761689 2.20076i −0.0570910 0.164954i
\(179\) −0.695070 14.5913i −0.0519520 1.09061i −0.862864 0.505437i \(-0.831331\pi\)
0.810912 0.585169i \(-0.198972\pi\)
\(180\) 0.924487 2.67113i 0.0689072 0.199094i
\(181\) 8.94183 + 2.62556i 0.664641 + 0.195156i 0.596615 0.802527i \(-0.296512\pi\)
0.0680258 + 0.997684i \(0.478330\pi\)
\(182\) −14.2157 + 12.5947i −1.05373 + 0.933581i
\(183\) 12.8290i 0.948350i
\(184\) 3.79101 + 3.58340i 0.279477 + 0.264172i
\(185\) −19.8674 11.4705i −1.46068 0.843326i
\(186\) 4.48193 + 6.29399i 0.328631 + 0.461498i
\(187\) −1.62580 + 0.394416i −0.118891 + 0.0288425i
\(188\) −7.09810 + 6.15054i −0.517682 + 0.448574i
\(189\) −0.956217 + 2.46691i −0.0695545 + 0.179441i
\(190\) −6.47842 + 7.47649i −0.469994 + 0.542402i
\(191\) −0.227847 0.569135i −0.0164864 0.0411812i 0.919896 0.392162i \(-0.128273\pi\)
−0.936383 + 0.350980i \(0.885848\pi\)
\(192\) 2.72009 + 0.659886i 0.196305 + 0.0476231i
\(193\) −13.2447 + 6.82812i −0.953374 + 0.491499i −0.863441 0.504449i \(-0.831696\pi\)
−0.0899330 + 0.995948i \(0.528665\pi\)
\(194\) 3.63765 2.86068i 0.261168 0.205385i
\(195\) −3.23436 7.08225i −0.231617 0.507171i
\(196\) 3.90433 9.07296i 0.278881 0.648069i
\(197\) 2.77887 + 19.3274i 0.197986 + 1.37702i 0.810118 + 0.586267i \(0.199403\pi\)
−0.612132 + 0.790756i \(0.709688\pi\)
\(198\) −10.3542 0.493233i −0.735843 0.0350525i
\(199\) −6.49394 + 26.7684i −0.460343 + 1.89756i −0.0198541 + 0.999803i \(0.506320\pi\)
−0.440489 + 0.897758i \(0.645195\pi\)
\(200\) −0.844138 0.663837i −0.0596896 0.0469404i
\(201\) −10.0703 1.94089i −0.710304 0.136900i
\(202\) 13.2010 + 20.5412i 0.928821 + 1.44527i
\(203\) −0.381951 + 1.65371i −0.0268077 + 0.116067i
\(204\) −0.118495 + 0.403557i −0.00829632 + 0.0282547i
\(205\) −1.04664 10.9609i −0.0731003 0.765541i
\(206\) 15.7974 27.3620i 1.10066 1.90640i
\(207\) −4.25312 + 2.21608i −0.295612 + 0.154028i
\(208\) 16.2614 9.38851i 1.12752 0.650976i
\(209\) 13.6517 + 6.23454i 0.944311 + 0.431252i
\(210\) 7.46774 + 6.32819i 0.515323 + 0.436687i
\(211\) −3.47635 4.01192i −0.239322 0.276192i 0.623365 0.781931i \(-0.285765\pi\)
−0.862686 + 0.505739i \(0.831220\pi\)
\(212\) −3.39784 + 6.59088i −0.233364 + 0.452664i
\(213\) −1.03986 + 0.359899i −0.0712500 + 0.0246598i
\(214\) −12.4878 + 15.8795i −0.853649 + 1.08550i
\(215\) 17.5976 18.4559i 1.20015 1.25868i
\(216\) 0.588071 0.915056i 0.0400131 0.0622617i
\(217\) −10.7274 + 2.72787i −0.728221 + 0.185180i
\(218\) 1.34742 0.615347i 0.0912589 0.0416765i
\(219\) 7.87544 11.0595i 0.532173 0.747332i
\(220\) −5.89627 + 14.7282i −0.397526 + 0.992973i
\(221\) 0.530868 + 1.02974i 0.0357101 + 0.0692679i
\(222\) 15.3079 + 14.5960i 1.02740 + 0.979622i
\(223\) −1.31464 0.189016i −0.0880346 0.0126575i 0.0981568 0.995171i \(-0.468705\pi\)
−0.186191 + 0.982514i \(0.559614\pi\)
\(224\) −10.1938 + 14.6540i −0.681099 + 0.979115i
\(225\) 0.830553 0.533764i 0.0553702 0.0355843i
\(226\) 11.0133 + 3.81174i 0.732593 + 0.253553i
\(227\) −10.4675 + 9.98077i −0.694754 + 0.662447i −0.952770 0.303694i \(-0.901780\pi\)
0.258015 + 0.966141i \(0.416932\pi\)
\(228\) 3.07349 2.18862i 0.203547 0.144945i
\(229\) 11.2475 + 19.4812i 0.743253 + 1.28735i 0.951007 + 0.309171i \(0.100051\pi\)
−0.207753 + 0.978181i \(0.566615\pi\)
\(230\) 2.60138 + 17.5513i 0.171530 + 1.15730i
\(231\) 6.01962 13.5748i 0.396062 0.893156i
\(232\) 0.289866 0.634718i 0.0190306 0.0416713i
\(233\) 2.78460 + 11.4783i 0.182425 + 0.751968i 0.987345 + 0.158584i \(0.0506930\pi\)
−0.804920 + 0.593383i \(0.797792\pi\)
\(234\) 1.35853 + 7.04873i 0.0888099 + 0.460790i
\(235\) 13.3183 0.634428i 0.868788 0.0413855i
\(236\) −0.190081 + 0.986232i −0.0123732 + 0.0641982i
\(237\) −1.58881 + 11.0504i −0.103204 + 0.717802i
\(238\) −1.15474 0.887691i −0.0748507 0.0575405i
\(239\) −8.61418 5.53600i −0.557205 0.358094i 0.231530 0.972828i \(-0.425627\pi\)
−0.788735 + 0.614734i \(0.789263\pi\)
\(240\) −5.98218 7.60697i −0.386148 0.491028i
\(241\) −11.9602 1.14206i −0.770424 0.0735666i −0.297561 0.954703i \(-0.596173\pi\)
−0.472863 + 0.881136i \(0.656779\pi\)
\(242\) 37.6929 + 3.59924i 2.42299 + 0.231368i
\(243\) 0.618159 + 0.786053i 0.0396549 + 0.0504253i
\(244\) 15.2287 + 9.78692i 0.974920 + 0.626543i
\(245\) −12.3189 + 6.69830i −0.787027 + 0.427939i
\(246\) −1.44474 + 10.0484i −0.0921136 + 0.640664i
\(247\) 1.96690 10.2052i 0.125151 0.649343i
\(248\) 4.54547 0.216527i 0.288638 0.0137495i
\(249\) 1.98934 + 10.3217i 0.126069 + 0.654109i
\(250\) −5.22229 21.5266i −0.330287 1.36146i
\(251\) 2.61976 5.73648i 0.165358 0.362083i −0.808755 0.588146i \(-0.799858\pi\)
0.974113 + 0.226063i \(0.0725854\pi\)
\(252\) −2.19888 3.01702i −0.138517 0.190054i
\(253\) 24.4359 11.2881i 1.53627 0.709676i
\(254\) 0.621724 + 1.07686i 0.0390104 + 0.0675680i
\(255\) 0.486375 0.346346i 0.0304580 0.0216890i
\(256\) 15.1786 14.4727i 0.948661 0.904547i
\(257\) −2.31104 0.799857i −0.144158 0.0498937i 0.254036 0.967195i \(-0.418242\pi\)
−0.398194 + 0.917301i \(0.630363\pi\)
\(258\) −19.7791 + 12.7113i −1.23140 + 0.791370i
\(259\) −27.4214 + 12.8898i −1.70389 + 0.800933i
\(260\) 10.8744 + 1.56350i 0.674403 + 0.0969644i
\(261\) 0.464273 + 0.442684i 0.0287378 + 0.0274014i
\(262\) 3.40403 + 6.60289i 0.210301 + 0.407928i
\(263\) −6.80314 + 16.9934i −0.419499 + 1.04786i 0.556648 + 0.830749i \(0.312087\pi\)
−0.976147 + 0.217110i \(0.930337\pi\)
\(264\) −3.54126 + 4.97300i −0.217949 + 0.306067i
\(265\) 9.57556 4.37301i 0.588222 0.268632i
\(266\) 3.22013 + 12.6632i 0.197439 + 0.776431i
\(267\) 0.681717 1.06077i 0.0417204 0.0649182i
\(268\) 9.98630 10.4733i 0.610010 0.639760i
\(269\) −7.80621 + 9.92641i −0.475953 + 0.605224i −0.963446 0.267903i \(-0.913669\pi\)
0.487493 + 0.873127i \(0.337912\pi\)
\(270\) 3.49620 1.21005i 0.212772 0.0736410i
\(271\) −8.58999 + 16.6623i −0.521805 + 1.01216i 0.469790 + 0.882778i \(0.344330\pi\)
−0.991595 + 0.129382i \(0.958701\pi\)
\(272\) 0.942995 + 1.08827i 0.0571775 + 0.0659863i
\(273\) −10.1184 1.83482i −0.612391 0.111048i
\(274\) −18.2569 8.33763i −1.10294 0.503694i
\(275\) −4.79885 + 2.77062i −0.289382 + 0.167075i
\(276\) 0.613982 6.73926i 0.0369574 0.405656i
\(277\) −1.63921 + 2.83919i −0.0984903 + 0.170590i −0.911060 0.412274i \(-0.864735\pi\)
0.812570 + 0.582864i \(0.198068\pi\)
\(278\) 0.994881 + 10.4189i 0.0596690 + 0.624882i
\(279\) −1.17866 + 4.01414i −0.0705643 + 0.240320i
\(280\) 5.51313 1.68497i 0.329472 0.100696i
\(281\) 13.2082 + 20.5523i 0.787935 + 1.22605i 0.970082 + 0.242779i \(0.0780589\pi\)
−0.182147 + 0.983271i \(0.558305\pi\)
\(282\) −12.0710 2.32650i −0.718820 0.138541i
\(283\) −9.42967 7.41557i −0.560536 0.440810i 0.297263 0.954796i \(-0.403926\pi\)
−0.857799 + 0.513985i \(0.828169\pi\)
\(284\) 0.366061 1.50892i 0.0217217 0.0895382i
\(285\) −5.35037 0.254869i −0.316928 0.0150972i
\(286\) −5.73386 39.8798i −0.339050 2.35814i
\(287\) −12.6737 7.13222i −0.748104 0.421002i
\(288\) 2.80280 + 6.13729i 0.165157 + 0.361643i
\(289\) 13.2931 10.4538i 0.781945 0.614928i
\(290\) 2.10950 1.08752i 0.123874 0.0638615i
\(291\) 2.43504 + 0.590735i 0.142745 + 0.0346295i
\(292\) 7.12026 + 17.7856i 0.416682 + 1.04082i
\(293\) −8.08048 + 9.32537i −0.472067 + 0.544794i −0.940985 0.338447i \(-0.890098\pi\)
0.468919 + 0.883241i \(0.344644\pi\)
\(294\) 12.4937 3.32394i 0.728648 0.193856i
\(295\) 1.07759 0.933736i 0.0627397 0.0543642i
\(296\) 12.1058 2.93684i 0.703637 0.170701i
\(297\) −3.25564 4.57191i −0.188911 0.265289i
\(298\) −23.3179 13.4626i −1.35077 0.779867i
\(299\) −11.5862 14.6020i −0.670045 0.844454i
\(300\) 1.39311i 0.0804310i
\(301\) −6.73801 33.0002i −0.388373 1.90210i
\(302\) −4.43283 1.30160i −0.255081 0.0748985i
\(303\) −4.32407 + 12.4936i −0.248411 + 0.717737i
\(304\) −0.614665 12.9034i −0.0352535 0.740061i
\(305\) −8.40526 24.2854i −0.481284 1.39058i
\(306\) −0.511075 + 0.204603i −0.0292162 + 0.0116964i
\(307\) −2.34543 7.98780i −0.133861 0.455888i 0.865093 0.501611i \(-0.167259\pi\)
−0.998954 + 0.0457229i \(0.985441\pi\)
\(308\) 11.5218 + 17.5014i 0.656515 + 0.997237i
\(309\) 16.9328 2.43457i 0.963275 0.138498i
\(310\) 12.6080 + 8.97810i 0.716085 + 0.509922i
\(311\) 0.148937 1.55974i 0.00844543 0.0884445i −0.990266 0.139184i \(-0.955552\pi\)
0.998712 + 0.0507399i \(0.0161580\pi\)
\(312\) 3.92489 + 1.57129i 0.222203 + 0.0889567i
\(313\) 1.49180 31.3168i 0.0843218 1.77013i −0.420867 0.907123i \(-0.638274\pi\)
0.505188 0.863009i \(-0.331423\pi\)
\(314\) −30.5495 + 8.97015i −1.72401 + 0.506215i
\(315\) −0.193864 + 5.29636i −0.0109230 + 0.298416i
\(316\) −11.9054 10.3161i −0.669730 0.580324i
\(317\) 29.0153 + 14.9584i 1.62966 + 0.840148i 0.997886 + 0.0649943i \(0.0207029\pi\)
0.631773 + 0.775153i \(0.282327\pi\)
\(318\) −9.53023 + 1.83680i −0.534428 + 0.103003i
\(319\) −2.48462 2.60579i −0.139112 0.145896i
\(320\) 5.58147 0.532966i 0.312014 0.0297937i
\(321\) −10.9381 −0.610505
\(322\) 20.9919 + 10.4172i 1.16984 + 0.580527i
\(323\) 0.797034 0.0443481
\(324\) −1.40466 + 0.134129i −0.0780368 + 0.00745162i
\(325\) 2.64805 + 2.77719i 0.146887 + 0.154051i
\(326\) 2.72599 0.525392i 0.150979 0.0290987i
\(327\) 0.712878 + 0.367514i 0.0394222 + 0.0203236i
\(328\) 4.51851 + 3.91531i 0.249493 + 0.216187i
\(329\) 9.35718 14.9188i 0.515878 0.822499i
\(330\) −19.9238 + 5.85014i −1.09677 + 0.322040i
\(331\) −0.779059 + 16.3545i −0.0428210 + 0.898923i 0.870621 + 0.491954i \(0.163717\pi\)
−0.913442 + 0.406969i \(0.866586\pi\)
\(332\) −13.7700 5.51266i −0.755725 0.302547i
\(333\) −1.08861 + 11.4004i −0.0596554 + 0.624739i
\(334\) 8.56772 + 6.10105i 0.468805 + 0.333834i
\(335\) −20.3347 + 2.92370i −1.11101 + 0.159739i
\(336\) −12.7598 + 0.748746i −0.696103 + 0.0408474i
\(337\) −1.77335 6.03947i −0.0966005 0.328991i 0.896987 0.442057i \(-0.145751\pi\)
−0.993588 + 0.113066i \(0.963933\pi\)
\(338\) −3.61236 + 1.44617i −0.196486 + 0.0786612i
\(339\) 2.06385 + 5.96311i 0.112093 + 0.323872i
\(340\) 0.0400889 + 0.841571i 0.00217413 + 0.0456406i
\(341\) 7.67988 22.1895i 0.415889 1.20163i
\(342\) 4.73852 + 1.39135i 0.256230 + 0.0752358i
\(343\) −2.02871 + 18.4088i −0.109540 + 0.993982i
\(344\) 13.8470i 0.746583i
\(345\) −6.59925 + 6.98158i −0.355291 + 0.375876i
\(346\) −3.11348 1.79757i −0.167382 0.0966378i
\(347\) 1.05874 + 1.48679i 0.0568361 + 0.0798151i 0.842016 0.539453i \(-0.181369\pi\)
−0.785180 + 0.619268i \(0.787429\pi\)
\(348\) −0.879670 + 0.213406i −0.0471553 + 0.0114397i
\(349\) 18.7858 16.2780i 1.00558 0.871341i 0.0138798 0.999904i \(-0.495582\pi\)
0.991701 + 0.128563i \(0.0410363\pi\)
\(350\) −4.49820 1.74358i −0.240439 0.0931981i
\(351\) −2.54528 + 2.93741i −0.135857 + 0.156787i
\(352\) −14.0742 35.1558i −0.750160 1.87381i
\(353\) 2.22144 + 0.538915i 0.118235 + 0.0286835i 0.294440 0.955670i \(-0.404867\pi\)
−0.176205 + 0.984354i \(0.556382\pi\)
\(354\) −1.16848 + 0.602394i −0.0621040 + 0.0320169i
\(355\) −1.73266 + 1.36258i −0.0919601 + 0.0723182i
\(356\) 0.739130 + 1.61847i 0.0391738 + 0.0857787i
\(357\) −0.00868498 0.788575i −0.000459658 0.0417358i
\(358\) 3.83955 + 26.7047i 0.202927 + 1.41139i
\(359\) 16.4070 + 0.781561i 0.865927 + 0.0412492i 0.475843 0.879530i \(-0.342143\pi\)
0.390084 + 0.920779i \(0.372446\pi\)
\(360\) 0.513698 2.11749i 0.0270743 0.111602i
\(361\) 9.31464 + 7.32511i 0.490244 + 0.385532i
\(362\) −16.9009 3.25737i −0.888290 0.171204i
\(363\) 11.0840 + 17.2470i 0.581758 + 0.905232i
\(364\) 9.89705 10.6113i 0.518746 0.556183i
\(365\) 7.66232 26.0955i 0.401064 1.36590i
\(366\) 2.25226 + 23.5867i 0.117727 + 1.23290i
\(367\) 3.34129 5.78729i 0.174414 0.302094i −0.765544 0.643383i \(-0.777530\pi\)
0.939958 + 0.341289i \(0.110864\pi\)
\(368\) −18.2740 14.2428i −0.952598 0.742455i
\(369\) −4.76022 + 2.74832i −0.247807 + 0.143072i
\(370\) 38.5408 + 17.6010i 2.00364 + 0.915033i
\(371\) 2.48077 13.6805i 0.128795 0.710257i
\(372\) −3.86583 4.46140i −0.200434 0.231313i
\(373\) −7.83648 + 15.2006i −0.405757 + 0.787060i −0.999850 0.0173373i \(-0.994481\pi\)
0.594092 + 0.804397i \(0.297511\pi\)
\(374\) 2.91986 1.01057i 0.150982 0.0522555i
\(375\) 7.41394 9.42759i 0.382854 0.486839i
\(376\) −4.99621 + 5.23987i −0.257660 + 0.270226i
\(377\) −1.34800 + 2.09753i −0.0694255 + 0.108028i
\(378\) 1.32495 4.70339i 0.0681483 0.241916i
\(379\) 18.8153 8.59266i 0.966477 0.441375i 0.131292 0.991344i \(-0.458088\pi\)
0.835185 + 0.549968i \(0.185360\pi\)
\(380\) 4.38419 6.15674i 0.224904 0.315834i
\(381\) −0.250226 + 0.625034i −0.0128195 + 0.0320214i
\(382\) 0.518823 + 1.00638i 0.0265453 + 0.0514907i
\(383\) −12.1284 11.5644i −0.619732 0.590913i 0.313764 0.949501i \(-0.398410\pi\)
−0.933496 + 0.358588i \(0.883258\pi\)
\(384\) 8.23981 + 1.18471i 0.420486 + 0.0604568i
\(385\) 2.50129 29.6410i 0.127478 1.51065i
\(386\) 23.1522 14.8790i 1.17841 0.757321i
\(387\) −12.0301 4.16365i −0.611523 0.211650i
\(388\) −2.55886 + 2.43987i −0.129906 + 0.123866i
\(389\) 5.76642 4.10625i 0.292369 0.208195i −0.424455 0.905449i \(-0.639534\pi\)
0.716824 + 0.697254i \(0.245595\pi\)
\(390\) 7.18985 + 12.4532i 0.364072 + 0.630592i
\(391\) 0.931420 1.08440i 0.0471039 0.0548405i
\(392\) 2.33125 7.24844i 0.117746 0.366101i
\(393\) −1.67090 + 3.65876i −0.0842858 + 0.184560i
\(394\) −8.50217 35.0464i −0.428333 1.76561i
\(395\) 4.23234 + 21.9594i 0.212952 + 1.10490i
\(396\) 7.91074 0.376835i 0.397529 0.0189367i
\(397\) 0.237443 1.23197i 0.0119169 0.0618309i −0.975483 0.220073i \(-0.929370\pi\)
0.987400 + 0.158242i \(0.0505826\pi\)
\(398\) 7.23993 50.3548i 0.362905 2.52406i
\(399\) −4.31176 + 5.60888i −0.215858 + 0.280795i
\(400\) 4.01243 + 2.57863i 0.200622 + 0.128932i
\(401\) 17.0677 + 21.7033i 0.852320 + 1.08381i 0.995560 + 0.0941254i \(0.0300055\pi\)
−0.143240 + 0.989688i \(0.545752\pi\)
\(402\) 18.8554 + 1.80047i 0.940422 + 0.0897994i
\(403\) −16.1870 1.54567i −0.806331 0.0769953i
\(404\) −11.5318 14.6639i −0.573730 0.729557i
\(405\) 1.68518 + 1.08300i 0.0837373 + 0.0538147i
\(406\) 0.411909 3.10746i 0.0204427 0.154221i
\(407\) 9.14762 63.6231i 0.453431 3.15368i
\(408\) −0.0613592 + 0.318362i −0.00303773 + 0.0157613i
\(409\) −37.4882 + 1.78578i −1.85367 + 0.0883012i −0.944577 0.328289i \(-0.893528\pi\)
−0.909094 + 0.416591i \(0.863225\pi\)
\(410\) 3.84857 + 19.9683i 0.190067 + 0.986162i
\(411\) −2.56203 10.5608i −0.126376 0.520927i
\(412\) −10.0276 + 21.9574i −0.494025 + 1.08176i
\(413\) −0.199648 1.87262i −0.00982404 0.0921458i
\(414\) 7.43047 4.82103i 0.365188 0.236940i
\(415\) 10.5283 + 18.2356i 0.516815 + 0.895150i
\(416\) −21.3613 + 15.2113i −1.04733 + 0.745798i
\(417\) −4.10134 + 3.91062i −0.200844 + 0.191504i
\(418\) −26.1938 9.06577i −1.28118 0.443421i
\(419\) −3.56134 + 2.28873i −0.173983 + 0.111812i −0.624734 0.780838i \(-0.714793\pi\)
0.450751 + 0.892650i \(0.351156\pi\)
\(420\) −6.13917 4.27058i −0.299561 0.208383i
\(421\) −11.7320 1.68681i −0.571785 0.0822103i −0.149643 0.988740i \(-0.547812\pi\)
−0.422142 + 0.906530i \(0.638722\pi\)
\(422\) 7.09574 + 6.76578i 0.345415 + 0.329353i
\(423\) −3.05001 5.91619i −0.148296 0.287655i
\(424\) −2.12446 + 5.30664i −0.103173 + 0.257713i
\(425\) −0.170699 + 0.239713i −0.00828013 + 0.0116278i
\(426\) 1.84864 0.844245i 0.0895669 0.0409038i
\(427\) −32.6709 9.20345i −1.58105 0.445386i
\(428\) 8.34438 12.9841i 0.403341 0.627610i
\(429\) 15.0540 15.7882i 0.726813 0.762259i
\(430\) −29.1139 + 37.0213i −1.40400 + 1.78533i
\(431\) 9.44256 3.26810i 0.454832 0.157419i −0.0900399 0.995938i \(-0.528699\pi\)
0.544872 + 0.838519i \(0.316578\pi\)
\(432\) −2.21371 + 4.29400i −0.106507 + 0.206595i
\(433\) 9.74580 + 11.2472i 0.468353 + 0.540508i 0.939953 0.341304i \(-0.110869\pi\)
−0.471600 + 0.881813i \(0.656323\pi\)
\(434\) 19.2438 6.89858i 0.923732 0.331143i
\(435\) 1.16891 + 0.533822i 0.0560448 + 0.0255948i
\(436\) −0.980093 + 0.565857i −0.0469380 + 0.0270996i
\(437\) −12.5815 + 2.48163i −0.601855 + 0.118713i
\(438\) −12.5377 + 21.7160i −0.599075 + 1.03763i
\(439\) 3.26016 + 34.1419i 0.155599 + 1.62951i 0.649763 + 0.760137i \(0.274868\pi\)
−0.494164 + 0.869369i \(0.664526\pi\)
\(440\) −3.44543 + 11.7340i −0.164254 + 0.559399i
\(441\) 5.59634 + 4.20488i 0.266492 + 0.200232i
\(442\) −1.15680 1.80002i −0.0550235 0.0856183i
\(443\) −34.2471 6.60058i −1.62713 0.313603i −0.707595 0.706618i \(-0.750220\pi\)
−0.919532 + 0.393015i \(0.871432\pi\)
\(444\) −12.7024 9.98930i −0.602831 0.474071i
\(445\) 0.595502 2.45469i 0.0282295 0.116364i
\(446\) 2.45020 + 0.116717i 0.116020 + 0.00552672i
\(447\) −2.07475 14.4302i −0.0981321 0.682524i
\(448\) 3.63185 6.45367i 0.171589 0.304907i
\(449\) −14.1783 31.0461i −0.669114 1.46516i −0.873779 0.486323i \(-0.838338\pi\)
0.204665 0.978832i \(-0.434390\pi\)
\(450\) −1.43330 + 1.12716i −0.0675664 + 0.0531348i
\(451\) 27.4210 14.1365i 1.29121 0.665663i
\(452\) −8.65299 2.09919i −0.407002 0.0987377i
\(453\) −0.929702 2.32228i −0.0436812 0.109110i
\(454\) 17.4928 20.1877i 0.820976 0.947457i
\(455\) −20.3562 + 3.15597i −0.954314 + 0.147954i
\(456\) 2.19814 1.90470i 0.102937 0.0891957i
\(457\) 3.53744 0.858173i 0.165474 0.0401436i −0.152166 0.988355i \(-0.548625\pi\)
0.317640 + 0.948211i \(0.397110\pi\)
\(458\) −24.0990 33.8423i −1.12607 1.58135i
\(459\) −0.258137 0.149036i −0.0120488 0.00695639i
\(460\) −3.25312 13.1597i −0.151678 0.613575i
\(461\) 13.6282i 0.634729i −0.948304 0.317365i \(-0.897202\pi\)
0.948304 0.317365i \(-0.102798\pi\)
\(462\) −8.68413 + 26.0146i −0.404022 + 1.21031i
\(463\) 9.41277 + 2.76384i 0.437449 + 0.128446i 0.493039 0.870007i \(-0.335886\pi\)
−0.0555905 + 0.998454i \(0.517704\pi\)
\(464\) −1.01361 + 2.92865i −0.0470559 + 0.135959i
\(465\) 0.398760 + 8.37100i 0.0184921 + 0.388196i
\(466\) −7.13472 20.6144i −0.330510 0.954945i
\(467\) −27.7700 + 11.1174i −1.28504 + 0.514454i −0.910789 0.412872i \(-0.864526\pi\)
−0.374254 + 0.927326i \(0.622101\pi\)
\(468\) −1.54514 5.26225i −0.0714239 0.243248i
\(469\) −12.1671 + 24.2530i −0.561824 + 1.11990i
\(470\) −24.3748 + 3.50457i −1.12433 + 0.161654i
\(471\) −14.0427 9.99975i −0.647053 0.460764i
\(472\) −0.0735964 + 0.770736i −0.00338755 + 0.0354760i
\(473\) 66.3319 + 26.5553i 3.04994 + 1.22101i
\(474\) 0.981088 20.5956i 0.0450629 0.945986i
\(475\) 2.53302 0.743762i 0.116223 0.0341262i
\(476\) 0.942705 + 0.591272i 0.0432088 + 0.0271009i
\(477\) −3.97152 3.44134i −0.181843 0.157568i
\(478\) 16.8094 + 8.66586i 0.768845 + 0.396367i
\(479\) −15.9219 + 3.06870i −0.727492 + 0.140213i −0.539533 0.841964i \(-0.681399\pi\)
−0.187959 + 0.982177i \(0.560187\pi\)
\(480\) 9.32672 + 9.78158i 0.425704 + 0.446466i
\(481\) −44.3106 + 4.23115i −2.02039 + 0.192924i
\(482\) 22.1898 1.01072
\(483\) 2.59239 + 12.4209i 0.117958 + 0.565172i
\(484\) −28.9288 −1.31494
\(485\) 4.99658 0.477115i 0.226883 0.0216647i
\(486\) −1.27451 1.33667i −0.0578129 0.0606324i
\(487\) 21.2346 4.09263i 0.962230 0.185455i 0.316137 0.948713i \(-0.397614\pi\)
0.646093 + 0.763259i \(0.276402\pi\)
\(488\) 12.4033 + 6.39433i 0.561470 + 0.289458i
\(489\) 1.13600 + 0.984349i 0.0513717 + 0.0445138i
\(490\) 21.4729 14.4778i 0.970047 0.654041i
\(491\) 11.4140 3.35146i 0.515108 0.151249i −0.0138389 0.999904i \(-0.504405\pi\)
0.528947 + 0.848655i \(0.322587\pi\)
\(492\) 0.369047 7.74725i 0.0166379 0.349273i
\(493\) −0.177515 0.0710663i −0.00799487 0.00320066i
\(494\) −1.82460 + 19.1080i −0.0820925 + 0.859711i
\(495\) −9.15834 6.52163i −0.411637 0.293125i
\(496\) −20.0054 + 2.87634i −0.898270 + 0.129152i
\(497\) 0.170544 + 2.90633i 0.00764994 + 0.130367i
\(498\) −5.46954 18.6275i −0.245096 0.834720i
\(499\) 2.49698 0.999638i 0.111780 0.0447499i −0.315098 0.949059i \(-0.602038\pi\)
0.426878 + 0.904309i \(0.359613\pi\)
\(500\) 5.53516 + 15.9928i 0.247540 + 0.715220i
\(501\) 0.270976 + 5.68849i 0.0121063 + 0.254143i
\(502\) −3.80944 + 11.0067i −0.170024 + 0.491252i
\(503\) −11.5625 3.39505i −0.515546 0.151378i 0.0136022 0.999907i \(-0.495670\pi\)
−0.529148 + 0.848530i \(0.677488\pi\)
\(504\) −1.90844 2.15406i −0.0850085 0.0959492i
\(505\) 26.4834i 1.17850i
\(506\) −42.9447 + 25.0436i −1.90913 + 1.11332i
\(507\) −1.82455 1.05341i −0.0810313 0.0467834i
\(508\) −0.551058 0.773852i −0.0244492 0.0343341i
\(509\) 25.9718 6.30068i 1.15118 0.279273i 0.385631 0.922653i \(-0.373984\pi\)
0.765547 + 0.643380i \(0.222468\pi\)
\(510\) −0.833416 + 0.722159i −0.0369043 + 0.0319777i
\(511\) −22.5147 27.9899i −0.995993 1.23820i
\(512\) −14.4628 + 16.6909i −0.639171 + 0.737642i
\(513\) 0.993814 + 2.48243i 0.0438780 + 0.109602i
\(514\) 4.38936 + 1.06485i 0.193606 + 0.0469684i
\(515\) 30.4588 15.7026i 1.34218 0.691940i
\(516\) 14.1199 11.1040i 0.621594 0.488827i
\(517\) 15.5192 + 33.9823i 0.682533 + 1.49454i
\(518\) 48.1525 28.5125i 2.11570 1.25277i
\(519\) −0.277026 1.92676i −0.0121601 0.0845754i
\(520\) 8.45930 + 0.402966i 0.370965 + 0.0176712i
\(521\) 1.64653 6.78707i 0.0721356 0.297347i −0.924304 0.381657i \(-0.875354\pi\)
0.996440 + 0.0843102i \(0.0268687\pi\)
\(522\) −0.931302 0.732384i −0.0407620 0.0320556i
\(523\) 0.320835 + 0.0618360i 0.0140292 + 0.00270390i 0.196261 0.980552i \(-0.437120\pi\)
−0.182232 + 0.983256i \(0.558332\pi\)
\(524\) −3.06846 4.77462i −0.134046 0.208580i
\(525\) −0.763470 2.49803i −0.0333206 0.109023i
\(526\) 9.52449 32.4374i 0.415287 1.41434i
\(527\) −0.118536 1.24137i −0.00516351 0.0540747i
\(528\) 13.5574 23.4821i 0.590010 1.02193i
\(529\) −11.3265 + 20.0178i −0.492455 + 0.870338i
\(530\) −16.8373 + 9.72104i −0.731367 + 0.422255i
\(531\) −0.647473 0.295691i −0.0280979 0.0128319i
\(532\) −3.36872 9.39714i −0.146053 0.407418i
\(533\) −13.9905 16.1459i −0.605994 0.699355i
\(534\) −1.06714 + 2.06996i −0.0461795 + 0.0895757i
\(535\) −20.7059 + 7.16637i −0.895193 + 0.309829i
\(536\) 6.89578 8.76870i 0.297852 0.378750i
\(537\) −10.0806 + 10.5722i −0.435009 + 0.456224i
\(538\) 12.6094 19.6206i 0.543628 0.845902i
\(539\) −30.2516 25.0682i −1.30303 1.07976i
\(540\) −2.57116 + 1.17421i −0.110645 + 0.0505298i
\(541\) −16.0558 + 22.5472i −0.690293 + 0.969381i 0.309536 + 0.950888i \(0.399826\pi\)
−0.999829 + 0.0184930i \(0.994113\pi\)
\(542\) 12.8678 32.1423i 0.552721 1.38063i
\(543\) −4.27036 8.28335i −0.183259 0.355473i
\(544\) −1.45549 1.38781i −0.0624037 0.0595018i
\(545\) 1.59027 + 0.228646i 0.0681195 + 0.00979411i
\(546\) 18.9251 + 1.59702i 0.809921 + 0.0683461i
\(547\) −4.88592 + 3.13999i −0.208907 + 0.134256i −0.640911 0.767615i \(-0.721443\pi\)
0.432004 + 0.901872i \(0.357807\pi\)
\(548\) 14.4908 + 5.01530i 0.619015 + 0.214243i
\(549\) −9.28481 + 8.85305i −0.396266 + 0.377839i
\(550\) 8.33647 5.93638i 0.355468 0.253128i
\(551\) 0.857672 + 1.48553i 0.0365380 + 0.0632857i
\(552\) −0.0226673 5.21652i −0.000964784 0.222030i
\(553\) 27.0016 + 11.9736i 1.14822 + 0.509169i
\(554\) 2.51530 5.50774i 0.106865 0.234001i
\(555\) 5.40853 + 22.2943i 0.229579 + 0.946339i
\(556\) −1.51331 7.85182i −0.0641788 0.332991i
\(557\) −33.0990 + 1.57670i −1.40245 + 0.0668069i −0.735110 0.677948i \(-0.762870\pi\)
−0.667338 + 0.744755i \(0.732567\pi\)
\(558\) 1.46229 7.58708i 0.0619036 0.321187i
\(559\) 7.04163 48.9756i 0.297829 2.07145i
\(560\) −23.6637 + 9.77726i −0.999975 + 0.413165i
\(561\) 1.40738 + 0.904471i 0.0594198 + 0.0381868i
\(562\) −27.8920 35.4675i −1.17655 1.49611i
\(563\) 38.5804 + 3.68399i 1.62597 + 0.155261i 0.867841 0.496841i \(-0.165507\pi\)
0.758131 + 0.652103i \(0.226113\pi\)
\(564\) 9.34960 + 0.892778i 0.393689 + 0.0375928i
\(565\) 7.81376 + 9.93601i 0.328728 + 0.418011i
\(566\) 18.6387 + 11.9784i 0.783443 + 0.503488i
\(567\) 2.44525 1.01032i 0.102691 0.0424293i
\(568\) 0.170339 1.18473i 0.00714725 0.0497102i
\(569\) −8.69905 + 45.1350i −0.364683 + 1.89216i 0.0805643 + 0.996749i \(0.474328\pi\)
−0.445248 + 0.895407i \(0.646884\pi\)
\(570\) 9.88161 0.470719i 0.413895 0.0197163i
\(571\) 5.93241 + 30.7802i 0.248263 + 1.28811i 0.865330 + 0.501202i \(0.167109\pi\)
−0.617067 + 0.786911i \(0.711679\pi\)
\(572\) 7.25711 + 29.9142i 0.303435 + 1.25078i
\(573\) −0.254670 + 0.557649i −0.0106390 + 0.0232961i
\(574\) 24.5532 + 10.8879i 1.02483 + 0.454452i
\(575\) 1.94819 4.31546i 0.0812450 0.179967i
\(576\) −1.39949 2.42399i −0.0583122 0.101000i
\(577\) 15.2790 10.8801i 0.636073 0.452946i −0.215982 0.976397i \(-0.569295\pi\)
0.852055 + 0.523452i \(0.175356\pi\)
\(578\) −22.6046 + 21.5534i −0.940227 + 0.896504i
\(579\) 14.0816 + 4.87370i 0.585213 + 0.202544i
\(580\) −1.52540 + 0.980316i −0.0633388 + 0.0407054i
\(581\) 27.7126 + 2.33856i 1.14971 + 0.0970199i
\(582\) −4.58063 0.658595i −0.189873 0.0272997i
\(583\) 21.3464 + 20.3537i 0.884076 + 0.842965i
\(584\) 6.76714 + 13.1264i 0.280026 + 0.543175i
\(585\) −2.89371 + 7.22813i −0.119640 + 0.298846i
\(586\) 13.2191 18.5637i 0.546077 0.766859i
\(587\) −22.6354 + 10.3372i −0.934263 + 0.426664i −0.823585 0.567192i \(-0.808030\pi\)
−0.110678 + 0.993856i \(0.535302\pi\)
\(588\) −9.26071 + 3.43537i −0.381905 + 0.141672i
\(589\) −6.04805 + 9.41096i −0.249206 + 0.387772i
\(590\) −1.81727 + 1.90589i −0.0748156 + 0.0784644i
\(591\) 12.0703 15.3486i 0.496505 0.631358i
\(592\) −52.2835 + 18.0955i −2.14884 + 0.743720i
\(593\) −7.15011 + 13.8693i −0.293620 + 0.569543i −0.988792 0.149300i \(-0.952298\pi\)
0.695172 + 0.718843i \(0.255328\pi\)
\(594\) 6.78827 + 7.83408i 0.278526 + 0.321436i
\(595\) −0.533095 1.48708i −0.0218548 0.0609645i
\(596\) 18.7121 + 8.54555i 0.766479 + 0.350039i
\(597\) 23.8545 13.7724i 0.976301 0.563668i
\(598\) 23.8651 + 24.8123i 0.975918 + 1.01465i
\(599\) −4.82855 + 8.36330i −0.197289 + 0.341715i −0.947649 0.319315i \(-0.896547\pi\)
0.750359 + 0.661030i \(0.229880\pi\)
\(600\) 0.102080 + 1.06903i 0.00416740 + 0.0436430i
\(601\) 6.65758 22.6736i 0.271568 0.924877i −0.704916 0.709290i \(-0.749016\pi\)
0.976485 0.215586i \(-0.0691663\pi\)
\(602\) 18.1816 + 59.4892i 0.741027 + 2.42460i
\(603\) 5.54461 + 8.62759i 0.225794 + 0.351343i
\(604\) 3.46592 + 0.668001i 0.141026 + 0.0271806i
\(605\) 32.2818 + 25.3867i 1.31244 + 1.03212i
\(606\) 5.75661 23.7291i 0.233846 0.963928i
\(607\) −5.02855 0.239539i −0.204102 0.00972260i −0.0547183 0.998502i \(-0.517426\pi\)
−0.149384 + 0.988779i \(0.547729\pi\)
\(608\) 2.56754 + 17.8576i 0.104128 + 0.724223i
\(609\) 1.46042 0.864757i 0.0591792 0.0350417i
\(610\) 19.7170 + 43.1741i 0.798316 + 1.74807i
\(611\) 20.3357 15.9922i 0.822694 0.646974i
\(612\) 0.373839 0.192727i 0.0151115 0.00779054i
\(613\) 0.130594 + 0.0316819i 0.00527466 + 0.00127962i 0.238395 0.971168i \(-0.423379\pi\)
−0.233121 + 0.972448i \(0.574894\pi\)
\(614\) 5.71450 + 14.2741i 0.230619 + 0.576057i
\(615\) −7.21050 + 8.32136i −0.290755 + 0.335549i
\(616\) 10.1239 + 12.5859i 0.407905 + 0.507099i
\(617\) −33.8414 + 29.3237i −1.36240 + 1.18053i −0.397598 + 0.917560i \(0.630156\pi\)
−0.964804 + 0.262969i \(0.915298\pi\)
\(618\) −30.7043 + 7.44878i −1.23511 + 0.299634i
\(619\) 20.7956 + 29.2033i 0.835846 + 1.17378i 0.982806 + 0.184639i \(0.0591116\pi\)
−0.146961 + 0.989142i \(0.546949\pi\)
\(620\) −10.2410 5.91266i −0.411290 0.237458i
\(621\) 4.53884 + 1.54886i 0.182137 + 0.0621534i
\(622\) 2.89379i 0.116030i
\(623\) −2.21234 2.49707i −0.0886356 0.100043i
\(624\) −18.0164 5.29010i −0.721234 0.211773i
\(625\) 6.24336 18.0390i 0.249734 0.721560i
\(626\) 2.75522 + 57.8392i 0.110121 + 2.31172i
\(627\) −4.90863 14.1826i −0.196032 0.566397i
\(628\) 22.5830 9.04087i 0.901160 0.360770i
\(629\) −0.961721 3.27532i −0.0383463 0.130596i
\(630\) −0.573400 9.77161i −0.0228448 0.389310i
\(631\) 0.554384 0.0797085i 0.0220697 0.00317314i −0.131271 0.991347i \(-0.541906\pi\)
0.153341 + 0.988173i \(0.450997\pi\)
\(632\) −9.89178 7.04390i −0.393474 0.280191i
\(633\) −0.504608 + 5.28450i −0.0200564 + 0.210040i
\(634\) −55.9718 22.4077i −2.22292 0.889925i
\(635\) −0.0641719 + 1.34713i −0.00254658 + 0.0534593i
\(636\) 7.11482 2.08910i 0.282121 0.0828382i
\(637\) −11.9314 + 24.4515i −0.472741 + 0.968803i
\(638\) 5.02554 + 4.35465i 0.198963 + 0.172402i
\(639\) 0.978056 + 0.504223i 0.0386913 + 0.0199467i
\(640\) 16.3742 3.15587i 0.647247 0.124747i
\(641\) −3.93711 4.12913i −0.155507 0.163091i 0.641372 0.767230i \(-0.278366\pi\)
−0.796879 + 0.604139i \(0.793517\pi\)
\(642\) 20.1101 1.92029i 0.793684 0.0757876i
\(643\) −16.9934 −0.670156 −0.335078 0.942190i \(-0.608763\pi\)
−0.335078 + 0.942190i \(0.608763\pi\)
\(644\) −16.7220 6.39828i −0.658938 0.252128i
\(645\) −25.5009 −1.00410
\(646\) −1.46538 + 0.139927i −0.0576545 + 0.00550534i
\(647\) −24.4501 25.6426i −0.961235 1.00811i −0.999961 0.00886395i \(-0.997178\pi\)
0.0387261 0.999250i \(-0.487670\pi\)
\(648\) −1.06807 + 0.205854i −0.0419578 + 0.00808671i
\(649\) 3.55094 + 1.83064i 0.139387 + 0.0718588i
\(650\) −5.35611 4.64109i −0.210084 0.182039i
\(651\) 9.37698 + 5.88132i 0.367513 + 0.230507i
\(652\) −2.03510 + 0.597558i −0.0797006 + 0.0234022i
\(653\) 1.50588 31.6124i 0.0589298 1.23709i −0.754843 0.655906i \(-0.772287\pi\)
0.813773 0.581183i \(-0.197410\pi\)
\(654\) −1.37517 0.550537i −0.0537736 0.0215277i
\(655\) −0.765892 + 8.02079i −0.0299259 + 0.313398i
\(656\) −21.6306 15.4031i −0.844533 0.601389i
\(657\) −13.4388 + 1.93221i −0.524298 + 0.0753827i
\(658\) −14.5844 + 29.0715i −0.568560 + 1.13333i
\(659\) 1.36918 + 4.66299i 0.0533356 + 0.181644i 0.981853 0.189645i \(-0.0607338\pi\)
−0.928517 + 0.371290i \(0.878916\pi\)
\(660\) 14.7282 5.89627i 0.573293 0.229512i
\(661\) 11.8866 + 34.3440i 0.462334 + 1.33583i 0.899687 + 0.436537i \(0.143795\pi\)
−0.437352 + 0.899290i \(0.644084\pi\)
\(662\) −1.43885 30.2051i −0.0559224 1.17396i
\(663\) 0.378917 1.09481i 0.0147159 0.0425189i
\(664\) −10.9706 3.22127i −0.425744 0.125010i
\(665\) −4.48737 + 13.4426i −0.174013 + 0.521281i
\(666\) 21.1513i 0.819594i
\(667\) 3.02342 + 0.569101i 0.117067 + 0.0220357i
\(668\) −6.95927 4.01793i −0.269262 0.155459i
\(669\) 0.770406 + 1.08188i 0.0297856 + 0.0418280i
\(670\) 36.8730 8.94529i 1.42453 0.345587i
\(671\) 54.4174 47.1529i 2.10076 1.82032i
\(672\) 17.6401 2.73488i 0.680483 0.105500i
\(673\) 21.0018 24.2373i 0.809559 0.934281i −0.189306 0.981918i \(-0.560624\pi\)
0.998865 + 0.0476375i \(0.0151692\pi\)
\(674\) 4.32066 + 10.7925i 0.166426 + 0.415711i
\(675\) −0.959451 0.232760i −0.0369293 0.00895895i
\(676\) 2.64235 1.36223i 0.101629 0.0523934i
\(677\) 22.8407 17.9621i 0.877839 0.690340i −0.0738943 0.997266i \(-0.523543\pi\)
0.951733 + 0.306926i \(0.0993003\pi\)
\(678\) −4.84136 10.6011i −0.185931 0.407133i
\(679\) 3.25126 5.77737i 0.124772 0.221715i
\(680\) 0.0924295 + 0.642861i 0.00354451 + 0.0246526i
\(681\) 14.4468 + 0.688188i 0.553604 + 0.0263714i
\(682\) −10.2242 + 42.1447i −0.391504 + 1.61380i
\(683\) −19.4035 15.2590i −0.742453 0.583871i 0.173654 0.984807i \(-0.444443\pi\)
−0.916106 + 0.400936i \(0.868685\pi\)
\(684\) −3.70493 0.714066i −0.141661 0.0273030i
\(685\) −11.7691 18.3131i −0.449675 0.699708i
\(686\) 0.498032 34.2015i 0.0190149 1.30582i
\(687\) 6.33755 21.5837i 0.241793 0.823470i
\(688\) −5.84597 61.2217i −0.222875 2.33406i
\(689\) 10.2126 17.6887i 0.389068 0.673886i
\(690\) 10.9073 13.9945i 0.415234 0.532761i
\(691\) 14.2887 8.24961i 0.543569 0.313830i −0.202955 0.979188i \(-0.565054\pi\)
0.746524 + 0.665358i \(0.231721\pi\)
\(692\) 2.49850 + 1.14103i 0.0949788 + 0.0433754i
\(693\) −13.9786 + 5.01108i −0.531001 + 0.190355i
\(694\) −2.20756 2.54765i −0.0837977 0.0967076i
\(695\) −5.20172 + 10.0899i −0.197312 + 0.382733i
\(696\) −0.659398 + 0.228220i −0.0249944 + 0.00865065i
\(697\) 1.01278 1.28786i 0.0383620 0.0487812i
\(698\) −31.6807 + 33.2258i −1.19913 + 1.25761i
\(699\) 6.38563 9.93624i 0.241527 0.375823i
\(700\) 3.54773 + 0.999403i 0.134092 + 0.0377739i
\(701\) −1.95132 + 0.891136i −0.0737002 + 0.0336578i −0.451924 0.892056i \(-0.649262\pi\)
0.378224 + 0.925714i \(0.376535\pi\)
\(702\) 4.16391 5.84739i 0.157157 0.220696i
\(703\) −11.3814 + 28.4295i −0.429259 + 1.07224i
\(704\) 7.19858 + 13.9633i 0.271307 + 0.526261i
\(705\) −9.64982 9.20108i −0.363433 0.346533i
\(706\) −4.17881 0.600823i −0.157272 0.0226123i
\(707\) 28.7145 + 19.9746i 1.07992 + 0.751223i
\(708\) 0.844940 0.543010i 0.0317548 0.0204076i
\(709\) −6.77877 2.34616i −0.254582 0.0881118i 0.196796 0.980444i \(-0.436946\pi\)
−0.451378 + 0.892333i \(0.649068\pi\)
\(710\) 2.94635 2.80934i 0.110575 0.105433i
\(711\) 9.09397 6.47579i 0.341051 0.242861i
\(712\) 0.685782 + 1.18781i 0.0257008 + 0.0445150i
\(713\) 5.73624 + 19.2264i 0.214824 + 0.720034i
\(714\) 0.154409 + 1.44830i 0.00577862 + 0.0542013i
\(715\) 18.1532 39.7500i 0.678892 1.48657i
\(716\) −4.85957 20.0314i −0.181611 0.748609i
\(717\) 1.93788 + 10.0547i 0.0723713 + 0.375498i
\(718\) −30.3021 + 1.44347i −1.13086 + 0.0538697i
\(719\) −3.78236 + 19.6247i −0.141058 + 0.731879i 0.840664 + 0.541557i \(0.182165\pi\)
−0.981722 + 0.190321i \(0.939047\pi\)
\(720\) −1.37724 + 9.57892i −0.0513267 + 0.356985i
\(721\) 5.94751 44.8683i 0.221497 1.67098i
\(722\) −18.4113 11.8322i −0.685199 0.440351i
\(723\) 7.42693 + 9.44412i 0.276211 + 0.351230i
\(724\) 13.0905 + 1.24999i 0.486505 + 0.0464556i
\(725\) −0.630470 0.0602026i −0.0234151 0.00223587i
\(726\) −23.4062 29.7634i −0.868686 1.10462i
\(727\) −4.33916 2.78861i −0.160931 0.103424i 0.457697 0.889108i \(-0.348675\pi\)
−0.618627 + 0.785685i \(0.712311\pi\)
\(728\) 6.81718 8.86803i 0.252662 0.328671i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) −9.50619 + 49.3228i −0.351840 + 1.82552i
\(731\) 3.79022 0.180550i 0.140186 0.00667790i
\(732\) −3.42591 17.7753i −0.126625 0.656994i
\(733\) 0.570585 + 2.35199i 0.0210751 + 0.0868725i 0.981378 0.192087i \(-0.0615256\pi\)
−0.960303 + 0.278960i \(0.910010\pi\)
\(734\) −5.12709 + 11.2268i −0.189244 + 0.414387i
\(735\) 13.3488 + 4.29327i 0.492379 + 0.158360i
\(736\) 27.2966 + 17.3753i 1.00617 + 0.640463i
\(737\) −28.7805 49.8493i −1.06014 1.83622i
\(738\) 8.26937 5.88859i 0.304400 0.216762i
\(739\) −14.6688 + 13.9867i −0.539601 + 0.514509i −0.910136 0.414310i \(-0.864023\pi\)
0.370535 + 0.928819i \(0.379174\pi\)
\(740\) −30.5905 10.5875i −1.12453 0.389203i
\(741\) −8.74319 + 5.61891i −0.321189 + 0.206416i
\(742\) −2.15925 + 25.5877i −0.0792685 + 0.939354i
\(743\) −18.8498 2.71019i −0.691531 0.0994271i −0.212416 0.977179i \(-0.568133\pi\)
−0.479115 + 0.877752i \(0.659042\pi\)
\(744\) −3.29344 3.14029i −0.120743 0.115129i
\(745\) −13.3818 25.9571i −0.490271 0.950993i
\(746\) 11.7391 29.3228i 0.429798 1.07358i
\(747\) 6.09734 8.56251i 0.223090 0.313286i
\(748\) −2.14731 + 0.980644i −0.0785135 + 0.0358559i
\(749\) −7.84691 + 27.8553i −0.286720 + 1.01781i
\(750\) −11.9757 + 18.6346i −0.437292 + 0.680439i
\(751\) −6.82019 + 7.15281i −0.248872 + 0.261010i −0.836307 0.548262i \(-0.815290\pi\)
0.587434 + 0.809272i \(0.300138\pi\)
\(752\) 19.8775 25.2763i 0.724857 0.921731i
\(753\) −5.95952 + 2.06261i −0.217177 + 0.0751657i
\(754\) 2.11011 4.09305i 0.0768457 0.149060i
\(755\) −3.28143 3.78698i −0.119424 0.137822i
\(756\) −0.666116 + 3.67339i −0.0242264 + 0.133600i
\(757\) 8.52338 + 3.89250i 0.309787 + 0.141475i 0.564242 0.825610i \(-0.309169\pi\)
−0.254454 + 0.967085i \(0.581896\pi\)
\(758\) −33.0842 + 19.1012i −1.20167 + 0.693785i
\(759\) −25.0323 9.89543i −0.908615 0.359181i
\(760\) 2.91318 5.04577i 0.105672 0.183029i
\(761\) −1.57273 16.4704i −0.0570116 0.597052i −0.978162 0.207845i \(-0.933355\pi\)
0.921150 0.389207i \(-0.127251\pi\)
\(762\) 0.350320 1.19308i 0.0126907 0.0432207i
\(763\) 1.44734 1.55179i 0.0523971 0.0561785i
\(764\) −0.467678 0.727721i −0.0169200 0.0263280i
\(765\) −0.586299 0.113000i −0.0211977 0.00408552i
\(766\) 24.3288 + 19.1324i 0.879034 + 0.691280i
\(767\) 0.652245 2.68859i 0.0235512 0.0970793i
\(768\) −20.9488 0.997916i −0.755926 0.0360092i
\(769\) 2.87488 + 19.9952i 0.103671 + 0.721047i 0.973665 + 0.227984i \(0.0732135\pi\)
−0.869994 + 0.493062i \(0.835877\pi\)
\(770\) 0.605032 + 54.9354i 0.0218038 + 1.97973i
\(771\) 1.01591 + 2.22454i 0.0365872 + 0.0801149i
\(772\) −16.5278 + 12.9976i −0.594850 + 0.467795i
\(773\) −17.7743 + 9.16331i