Properties

Label 770.2.bd.a.527.2
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.2
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(-2.93076 - 0.785295i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.860133 + 2.06402i) q^{5} +3.03415i q^{6} +(-0.604940 - 2.57566i) q^{7} +(0.707107 + 0.707107i) q^{8} +(5.37460 + 3.10303i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(-2.93076 - 0.785295i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.860133 + 2.06402i) q^{5} +3.03415i q^{6} +(-0.604940 - 2.57566i) q^{7} +(0.707107 + 0.707107i) q^{8} +(5.37460 + 3.10303i) q^{9} +(1.77107 - 1.36503i) q^{10} +(0.981809 - 3.16797i) q^{11} +(2.93076 - 0.785295i) q^{12} +(-1.57020 - 1.57020i) q^{13} +(-2.33133 + 1.25096i) q^{14} +(-0.899981 - 6.72460i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-5.75068 - 1.54089i) q^{17} +(1.60624 - 5.99458i) q^{18} +(0.0868117 - 0.150362i) q^{19} +(-1.77691 - 1.35743i) q^{20} +(-0.249721 + 8.02371i) q^{21} +(-3.31414 - 0.128423i) q^{22} +(0.910995 + 3.39988i) q^{23} +(-1.51707 - 2.62765i) q^{24} +(-3.52034 + 3.55066i) q^{25} +(-1.11030 + 1.92310i) q^{26} +(-6.87847 - 6.87847i) q^{27} +(1.81173 + 1.92812i) q^{28} +6.62678 q^{29} +(-6.26254 + 2.60977i) q^{30} +(-1.64358 - 2.84676i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-5.36524 + 8.51356i) q^{33} +5.95354i q^{34} +(4.79589 - 3.46402i) q^{35} -6.20605 q^{36} +(-11.1973 + 3.00030i) q^{37} +(-0.167707 - 0.0449370i) q^{38} +(3.36882 + 5.83496i) q^{39} +(-0.851275 + 2.06769i) q^{40} +4.78788i q^{41} +(7.81495 - 1.83548i) q^{42} +(3.69185 + 3.69185i) q^{43} +(0.733715 + 3.23445i) q^{44} +(-1.78183 + 13.7623i) q^{45} +(3.04825 - 1.75991i) q^{46} +(1.43298 - 0.383965i) q^{47} +(-2.14547 + 2.14547i) q^{48} +(-6.26809 + 3.11625i) q^{49} +(4.34081 + 2.48141i) q^{50} +(15.6438 + 9.03197i) q^{51} +(2.14494 + 0.574734i) q^{52} +(6.50511 + 1.74304i) q^{53} +(-4.86381 + 8.42437i) q^{54} +(7.38324 - 0.698406i) q^{55} +(1.39351 - 2.24903i) q^{56} +(-0.372503 + 0.372503i) q^{57} +(-1.71514 - 6.40098i) q^{58} +(-12.2623 + 7.07963i) q^{59} +(4.14171 + 5.37369i) q^{60} +(-2.80684 - 1.62053i) q^{61} +(-2.32437 + 2.32437i) q^{62} +(4.74104 - 15.7203i) q^{63} +1.00000i q^{64} +(1.89034 - 4.59151i) q^{65} +(9.61210 + 2.97895i) q^{66} +(0.436089 - 1.62751i) q^{67} +(5.75068 - 1.54089i) q^{68} -10.6796i q^{69} +(-4.58726 - 3.73592i) q^{70} -10.7182 q^{71} +(1.60624 + 5.99458i) q^{72} +(-2.05631 + 7.67425i) q^{73} +(5.79614 + 10.0392i) q^{74} +(13.1056 - 7.64163i) q^{75} +0.173623i q^{76} +(-8.75357 - 0.612377i) q^{77} +(4.76423 - 4.76423i) q^{78} +(-4.40422 + 7.62834i) q^{79} +(2.21756 + 0.287112i) q^{80} +(5.44846 + 9.43700i) q^{81} +(4.62473 - 1.23919i) q^{82} +(-2.26431 - 2.26431i) q^{83} +(-3.79559 - 7.07360i) q^{84} +(-1.76593 - 13.1949i) q^{85} +(2.61053 - 4.52158i) q^{86} +(-19.4215 - 5.20398i) q^{87} +(2.93434 - 1.54585i) q^{88} +(0.191972 + 0.110835i) q^{89} +(13.7545 - 1.84082i) q^{90} +(-3.09444 + 4.99420i) q^{91} +(-2.48888 - 2.48888i) q^{92} +(2.58139 + 9.63388i) q^{93} +(-0.741764 - 1.28477i) q^{94} +(0.385020 + 0.0498493i) q^{95} +(2.62765 + 1.51707i) q^{96} +(7.97257 + 7.97257i) q^{97} +(4.63236 + 5.24797i) q^{98} +(15.1071 - 13.9800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) −2.93076 0.785295i −1.69208 0.453390i −0.721152 0.692777i \(-0.756387\pi\)
−0.970924 + 0.239387i \(0.923054\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 0.860133 + 2.06402i 0.384663 + 0.923057i
\(6\) 3.03415i 1.23869i
\(7\) −0.604940 2.57566i −0.228646 0.973510i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 5.37460 + 3.10303i 1.79153 + 1.03434i
\(10\) 1.77107 1.36503i 0.560061 0.431661i
\(11\) 0.981809 3.16797i 0.296027 0.955180i
\(12\) 2.93076 0.785295i 0.846038 0.226695i
\(13\) −1.57020 1.57020i −0.435496 0.435496i 0.454997 0.890493i \(-0.349640\pi\)
−0.890493 + 0.454997i \(0.849640\pi\)
\(14\) −2.33133 + 1.25096i −0.623074 + 0.334333i
\(15\) −0.899981 6.72460i −0.232374 1.73629i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −5.75068 1.54089i −1.39475 0.373721i −0.518290 0.855205i \(-0.673431\pi\)
−0.876455 + 0.481484i \(0.840098\pi\)
\(18\) 1.60624 5.99458i 0.378595 1.41294i
\(19\) 0.0868117 0.150362i 0.0199160 0.0344955i −0.855896 0.517149i \(-0.826993\pi\)
0.875812 + 0.482653i \(0.160327\pi\)
\(20\) −1.77691 1.35743i −0.397328 0.303530i
\(21\) −0.249721 + 8.02371i −0.0544937 + 1.75092i
\(22\) −3.31414 0.128423i −0.706576 0.0273799i
\(23\) 0.910995 + 3.39988i 0.189956 + 0.708924i 0.993515 + 0.113700i \(0.0362701\pi\)
−0.803560 + 0.595224i \(0.797063\pi\)
\(24\) −1.51707 2.62765i −0.309671 0.536367i
\(25\) −3.52034 + 3.55066i −0.704068 + 0.710132i
\(26\) −1.11030 + 1.92310i −0.217748 + 0.377151i
\(27\) −6.87847 6.87847i −1.32376 1.32376i
\(28\) 1.81173 + 1.92812i 0.342384 + 0.364381i
\(29\) 6.62678 1.23056 0.615281 0.788308i \(-0.289043\pi\)
0.615281 + 0.788308i \(0.289043\pi\)
\(30\) −6.26254 + 2.60977i −1.14338 + 0.476477i
\(31\) −1.64358 2.84676i −0.295196 0.511294i 0.679835 0.733365i \(-0.262052\pi\)
−0.975030 + 0.222071i \(0.928718\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) −5.36524 + 8.51356i −0.933969 + 1.48202i
\(34\) 5.95354i 1.02102i
\(35\) 4.79589 3.46402i 0.810653 0.585527i
\(36\) −6.20605 −1.03434
\(37\) −11.1973 + 3.00030i −1.84082 + 0.493246i −0.998923 0.0463914i \(-0.985228\pi\)
−0.841897 + 0.539638i \(0.818561\pi\)
\(38\) −0.167707 0.0449370i −0.0272057 0.00728975i
\(39\) 3.36882 + 5.83496i 0.539443 + 0.934342i
\(40\) −0.851275 + 2.06769i −0.134598 + 0.326930i
\(41\) 4.78788i 0.747741i 0.927481 + 0.373870i \(0.121969\pi\)
−0.927481 + 0.373870i \(0.878031\pi\)
\(42\) 7.81495 1.83548i 1.20587 0.283220i
\(43\) 3.69185 + 3.69185i 0.563002 + 0.563002i 0.930159 0.367157i \(-0.119669\pi\)
−0.367157 + 0.930159i \(0.619669\pi\)
\(44\) 0.733715 + 3.23445i 0.110612 + 0.487612i
\(45\) −1.78183 + 13.7623i −0.265620 + 2.05156i
\(46\) 3.04825 1.75991i 0.449440 0.259484i
\(47\) 1.43298 0.383965i 0.209021 0.0560071i −0.152789 0.988259i \(-0.548825\pi\)
0.361810 + 0.932252i \(0.382159\pi\)
\(48\) −2.14547 + 2.14547i −0.309671 + 0.309671i
\(49\) −6.26809 + 3.11625i −0.895442 + 0.445178i
\(50\) 4.34081 + 2.48141i 0.613883 + 0.350924i
\(51\) 15.6438 + 9.03197i 2.19057 + 1.26473i
\(52\) 2.14494 + 0.574734i 0.297449 + 0.0797013i
\(53\) 6.50511 + 1.74304i 0.893545 + 0.239425i 0.676242 0.736680i \(-0.263607\pi\)
0.217303 + 0.976104i \(0.430274\pi\)
\(54\) −4.86381 + 8.42437i −0.661881 + 1.14641i
\(55\) 7.38324 0.698406i 0.995556 0.0941730i
\(56\) 1.39351 2.24903i 0.186216 0.300539i
\(57\) −0.372503 + 0.372503i −0.0493392 + 0.0493392i
\(58\) −1.71514 6.40098i −0.225208 0.840489i
\(59\) −12.2623 + 7.07963i −1.59641 + 0.921689i −0.604242 + 0.796801i \(0.706524\pi\)
−0.992171 + 0.124889i \(0.960143\pi\)
\(60\) 4.14171 + 5.37369i 0.534692 + 0.693740i
\(61\) −2.80684 1.62053i −0.359379 0.207487i 0.309429 0.950922i \(-0.399862\pi\)
−0.668808 + 0.743435i \(0.733195\pi\)
\(62\) −2.32437 + 2.32437i −0.295196 + 0.295196i
\(63\) 4.74104 15.7203i 0.597315 1.98057i
\(64\) 1.00000i 0.125000i
\(65\) 1.89034 4.59151i 0.234468 0.569507i
\(66\) 9.61210 + 2.97895i 1.18317 + 0.366684i
\(67\) 0.436089 1.62751i 0.0532767 0.198831i −0.934158 0.356860i \(-0.883847\pi\)
0.987435 + 0.158029i \(0.0505139\pi\)
\(68\) 5.75068 1.54089i 0.697373 0.186860i
\(69\) 10.6796i 1.28568i
\(70\) −4.58726 3.73592i −0.548282 0.446528i
\(71\) −10.7182 −1.27202 −0.636008 0.771682i \(-0.719416\pi\)
−0.636008 + 0.771682i \(0.719416\pi\)
\(72\) 1.60624 + 5.99458i 0.189298 + 0.706469i
\(73\) −2.05631 + 7.67425i −0.240673 + 0.898203i 0.734837 + 0.678244i \(0.237259\pi\)
−0.975509 + 0.219958i \(0.929408\pi\)
\(74\) 5.79614 + 10.0392i 0.673787 + 1.16703i
\(75\) 13.1056 7.64163i 1.51330 0.882380i
\(76\) 0.173623i 0.0199160i
\(77\) −8.75357 0.612377i −0.997562 0.0697869i
\(78\) 4.76423 4.76423i 0.539443 0.539443i
\(79\) −4.40422 + 7.62834i −0.495514 + 0.858255i −0.999987 0.00517260i \(-0.998354\pi\)
0.504473 + 0.863428i \(0.331687\pi\)
\(80\) 2.21756 + 0.287112i 0.247931 + 0.0321001i
\(81\) 5.44846 + 9.43700i 0.605384 + 1.04856i
\(82\) 4.62473 1.23919i 0.510716 0.136846i
\(83\) −2.26431 2.26431i −0.248540 0.248540i 0.571831 0.820371i \(-0.306233\pi\)
−0.820371 + 0.571831i \(0.806233\pi\)
\(84\) −3.79559 7.07360i −0.414133 0.771793i
\(85\) −1.76593 13.1949i −0.191542 1.43119i
\(86\) 2.61053 4.52158i 0.281501 0.487574i
\(87\) −19.4215 5.20398i −2.08220 0.557925i
\(88\) 2.93434 1.54585i 0.312802 0.164788i
\(89\) 0.191972 + 0.110835i 0.0203490 + 0.0117485i 0.510140 0.860091i \(-0.329594\pi\)
−0.489791 + 0.871840i \(0.662927\pi\)
\(90\) 13.7545 1.84082i 1.44985 0.194040i
\(91\) −3.09444 + 4.99420i −0.324385 + 0.523534i
\(92\) −2.48888 2.48888i −0.259484 0.259484i
\(93\) 2.58139 + 9.63388i 0.267678 + 0.998987i
\(94\) −0.741764 1.28477i −0.0765071 0.132514i
\(95\) 0.385020 + 0.0498493i 0.0395022 + 0.00511443i
\(96\) 2.62765 + 1.51707i 0.268183 + 0.154836i
\(97\) 7.97257 + 7.97257i 0.809492 + 0.809492i 0.984557 0.175065i \(-0.0560136\pi\)
−0.175065 + 0.984557i \(0.556014\pi\)
\(98\) 4.63236 + 5.24797i 0.467939 + 0.530125i
\(99\) 15.1071 13.9800i 1.51832 1.40504i
\(100\) 1.27338 4.83513i 0.127338 0.483513i
\(101\) −10.4760 + 6.04831i −1.04240 + 0.601829i −0.920512 0.390715i \(-0.872228\pi\)
−0.121887 + 0.992544i \(0.538895\pi\)
\(102\) 4.67529 17.4484i 0.462923 1.72765i
\(103\) 1.11781 + 4.17171i 0.110141 + 0.411050i 0.998878 0.0473672i \(-0.0150831\pi\)
−0.888737 + 0.458418i \(0.848416\pi\)
\(104\) 2.22060i 0.217748i
\(105\) −16.7759 + 6.38603i −1.63716 + 0.623213i
\(106\) 6.73458i 0.654120i
\(107\) −3.81701 14.2453i −0.369004 1.37714i −0.861911 0.507060i \(-0.830732\pi\)
0.492907 0.870082i \(-0.335934\pi\)
\(108\) 9.39617 + 2.51770i 0.904147 + 0.242265i
\(109\) 6.68805 + 11.5840i 0.640599 + 1.10955i 0.985299 + 0.170837i \(0.0546471\pi\)
−0.344701 + 0.938713i \(0.612020\pi\)
\(110\) −2.58553 6.95090i −0.246521 0.662742i
\(111\) 35.1727 3.33844
\(112\) −2.53306 0.763939i −0.239352 0.0721854i
\(113\) −12.3054 + 12.3054i −1.15759 + 1.15759i −0.172603 + 0.984991i \(0.555218\pi\)
−0.984991 + 0.172603i \(0.944782\pi\)
\(114\) 0.456221 + 0.263399i 0.0427290 + 0.0246696i
\(115\) −6.23384 + 4.80466i −0.581308 + 0.448037i
\(116\) −5.73896 + 3.31339i −0.532849 + 0.307641i
\(117\) −3.56683 13.3116i −0.329754 1.23066i
\(118\) 10.0121 + 10.0121i 0.921689 + 0.921689i
\(119\) −0.489999 + 15.7440i −0.0449181 + 1.44325i
\(120\) 4.11863 5.39140i 0.375978 0.492165i
\(121\) −9.07210 6.22069i −0.824736 0.565517i
\(122\) −0.838847 + 3.13062i −0.0759457 + 0.283433i
\(123\) 3.75990 14.0321i 0.339018 1.26523i
\(124\) 2.84676 + 1.64358i 0.255647 + 0.147598i
\(125\) −10.3566 4.21201i −0.926322 0.376734i
\(126\) −16.4117 0.510781i −1.46207 0.0455040i
\(127\) −1.77750 + 1.77750i −0.157728 + 0.157728i −0.781559 0.623831i \(-0.785575\pi\)
0.623831 + 0.781559i \(0.285575\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) −7.92074 13.7191i −0.697382 1.20790i
\(130\) −4.92432 0.637562i −0.431891 0.0559179i
\(131\) −8.44934 4.87823i −0.738223 0.426213i 0.0832002 0.996533i \(-0.473486\pi\)
−0.821423 + 0.570320i \(0.806819\pi\)
\(132\) 0.389655 10.0556i 0.0339151 0.875226i
\(133\) −0.439799 0.132638i −0.0381354 0.0115011i
\(134\) −1.68492 −0.145555
\(135\) 8.28089 20.1137i 0.712706 1.73111i
\(136\) −2.97677 5.15592i −0.255256 0.442117i
\(137\) 0.818642 3.05521i 0.0699413 0.261024i −0.922097 0.386958i \(-0.873526\pi\)
0.992039 + 0.125933i \(0.0401926\pi\)
\(138\) −10.3157 + 2.76409i −0.878134 + 0.235295i
\(139\) −13.6178 −1.15505 −0.577524 0.816373i \(-0.695981\pi\)
−0.577524 + 0.816373i \(0.695981\pi\)
\(140\) −2.42135 + 5.39788i −0.204642 + 0.456204i
\(141\) −4.50124 −0.379073
\(142\) 2.77407 + 10.3530i 0.232795 + 0.868803i
\(143\) −6.51600 + 3.43272i −0.544895 + 0.287059i
\(144\) 5.37460 3.10303i 0.447883 0.258585i
\(145\) 5.69991 + 13.6778i 0.473352 + 1.13588i
\(146\) 7.94496 0.657530
\(147\) 20.8175 4.21067i 1.71700 0.347290i
\(148\) 8.19697 8.19697i 0.673787 0.673787i
\(149\) 10.1456 17.5727i 0.831161 1.43961i −0.0659563 0.997823i \(-0.521010\pi\)
0.897118 0.441791i \(-0.145657\pi\)
\(150\) −10.7732 10.6812i −0.879630 0.872119i
\(151\) −5.57438 + 3.21837i −0.453637 + 0.261907i −0.709365 0.704841i \(-0.751018\pi\)
0.255728 + 0.966749i \(0.417685\pi\)
\(152\) 0.167707 0.0449370i 0.0136029 0.00364487i
\(153\) −26.1262 26.1262i −2.11218 2.11218i
\(154\) 1.67408 + 8.61379i 0.134901 + 0.694119i
\(155\) 4.46208 5.84098i 0.358403 0.469159i
\(156\) −5.83496 3.36882i −0.467171 0.269721i
\(157\) 2.05496 7.66923i 0.164004 0.612071i −0.834161 0.551521i \(-0.814048\pi\)
0.998165 0.0605504i \(-0.0192856\pi\)
\(158\) 8.50830 + 2.27979i 0.676884 + 0.181371i
\(159\) −17.6961 10.2169i −1.40339 0.810249i
\(160\) −0.296618 2.21631i −0.0234497 0.175214i
\(161\) 8.20585 4.40314i 0.646712 0.347016i
\(162\) 7.70528 7.70528i 0.605384 0.605384i
\(163\) −1.75132 6.53602i −0.137174 0.511941i −0.999979 0.00640458i \(-0.997961\pi\)
0.862805 0.505536i \(-0.168705\pi\)
\(164\) −2.39394 4.14642i −0.186935 0.323781i
\(165\) −22.1870 3.75116i −1.72725 0.292027i
\(166\) −1.60111 + 2.77320i −0.124270 + 0.215242i
\(167\) 5.38564 5.38564i 0.416753 0.416753i −0.467330 0.884083i \(-0.654784\pi\)
0.884083 + 0.467330i \(0.154784\pi\)
\(168\) −5.85020 + 5.49704i −0.451353 + 0.424106i
\(169\) 8.06892i 0.620686i
\(170\) −12.2882 + 5.12084i −0.942464 + 0.392751i
\(171\) 0.933156 0.538758i 0.0713602 0.0411998i
\(172\) −5.04316 1.35131i −0.384538 0.103037i
\(173\) 13.9833 3.74680i 1.06313 0.284864i 0.315461 0.948939i \(-0.397841\pi\)
0.747666 + 0.664075i \(0.231174\pi\)
\(174\) 20.1066i 1.52428i
\(175\) 11.2749 + 6.91928i 0.852303 + 0.523049i
\(176\) −2.25264 2.43426i −0.169799 0.183489i
\(177\) 41.4974 11.1192i 3.11914 0.835770i
\(178\) 0.0573725 0.214117i 0.00430025 0.0160488i
\(179\) 21.0192 12.1354i 1.57105 0.907046i 0.575009 0.818147i \(-0.304998\pi\)
0.996041 0.0888993i \(-0.0283349\pi\)
\(180\) −5.33803 12.8094i −0.397873 0.954756i
\(181\) 7.62742 0.566942 0.283471 0.958981i \(-0.408514\pi\)
0.283471 + 0.958981i \(0.408514\pi\)
\(182\) 5.62492 + 1.69640i 0.416947 + 0.125746i
\(183\) 6.95358 + 6.95358i 0.514023 + 0.514023i
\(184\) −1.75991 + 3.04825i −0.129742 + 0.224720i
\(185\) −15.8238 20.5307i −1.16339 1.50945i
\(186\) 8.63750 4.98687i 0.633333 0.365655i
\(187\) −10.5276 + 16.7051i −0.769852 + 1.22160i
\(188\) −1.04901 + 1.04901i −0.0765071 + 0.0765071i
\(189\) −13.5556 + 21.8777i −0.986023 + 1.59137i
\(190\) −0.0514997 0.384803i −0.00373618 0.0279165i
\(191\) −6.84090 + 11.8488i −0.494990 + 0.857348i −0.999983 0.00577514i \(-0.998162\pi\)
0.504993 + 0.863123i \(0.331495\pi\)
\(192\) 0.785295 2.93076i 0.0566738 0.211509i
\(193\) −3.52203 + 13.1444i −0.253521 + 0.946153i 0.715386 + 0.698729i \(0.246251\pi\)
−0.968907 + 0.247424i \(0.920416\pi\)
\(194\) 5.63746 9.76436i 0.404746 0.701040i
\(195\) −9.14584 + 11.9721i −0.654947 + 0.857343i
\(196\) 3.87021 5.83280i 0.276443 0.416628i
\(197\) 12.6533 12.6533i 0.901511 0.901511i −0.0940555 0.995567i \(-0.529983\pi\)
0.995567 + 0.0940555i \(0.0299831\pi\)
\(198\) −17.4137 10.9741i −1.23753 0.779894i
\(199\) −12.6332 + 7.29381i −0.895547 + 0.517044i −0.875753 0.482760i \(-0.839634\pi\)
−0.0197941 + 0.999804i \(0.506301\pi\)
\(200\) −4.99995 + 0.0214386i −0.353550 + 0.00151594i
\(201\) −2.55614 + 4.42737i −0.180297 + 0.312283i
\(202\) 8.55360 + 8.55360i 0.601829 + 0.601829i
\(203\) −4.00881 17.0684i −0.281363 1.19796i
\(204\) −18.0639 −1.26473
\(205\) −9.88226 + 4.11821i −0.690207 + 0.287628i
\(206\) 3.74025 2.15943i 0.260595 0.150455i
\(207\) −5.65368 + 21.0998i −0.392958 + 1.46654i
\(208\) −2.14494 + 0.574734i −0.148725 + 0.0398507i
\(209\) −0.391111 0.422644i −0.0270537 0.0292349i
\(210\) 10.5104 + 14.5514i 0.725283 + 1.00414i
\(211\) 3.56375i 0.245338i −0.992448 0.122669i \(-0.960855\pi\)
0.992448 0.122669i \(-0.0391454\pi\)
\(212\) −6.50511 + 1.74304i −0.446772 + 0.119712i
\(213\) 31.4125 + 8.41695i 2.15235 + 0.576720i
\(214\) −12.7720 + 7.37389i −0.873073 + 0.504069i
\(215\) −4.44456 + 10.7955i −0.303117 + 0.736249i
\(216\) 9.72763i 0.661881i
\(217\) −6.33804 + 5.95543i −0.430254 + 0.404281i
\(218\) 9.45833 9.45833i 0.640599 0.640599i
\(219\) 12.0531 20.8766i 0.814473 1.41071i
\(220\) −6.04487 + 4.29646i −0.407545 + 0.289667i
\(221\) 6.61023 + 11.4493i 0.444652 + 0.770160i
\(222\) −9.10335 33.9742i −0.610977 2.28020i
\(223\) −12.9561 + 12.9561i −0.867603 + 0.867603i −0.992207 0.124604i \(-0.960234\pi\)
0.124604 + 0.992207i \(0.460234\pi\)
\(224\) −0.0823037 + 2.64447i −0.00549915 + 0.176691i
\(225\) −29.9382 + 8.15966i −1.99588 + 0.543977i
\(226\) 15.0710 + 8.70123i 1.00251 + 0.578797i
\(227\) 20.7994 + 5.57318i 1.38050 + 0.369905i 0.871304 0.490744i \(-0.163275\pi\)
0.509199 + 0.860649i \(0.329942\pi\)
\(228\) 0.136346 0.508849i 0.00902971 0.0336993i
\(229\) −3.96454 2.28893i −0.261984 0.151257i 0.363255 0.931690i \(-0.381665\pi\)
−0.625239 + 0.780433i \(0.714999\pi\)
\(230\) 6.25438 + 4.77789i 0.412402 + 0.315045i
\(231\) 25.1737 + 8.66887i 1.65631 + 0.570370i
\(232\) 4.68584 + 4.68584i 0.307641 + 0.307641i
\(233\) −24.8878 + 6.66867i −1.63046 + 0.436879i −0.954050 0.299649i \(-0.903130\pi\)
−0.676407 + 0.736528i \(0.736464\pi\)
\(234\) −11.9348 + 6.89059i −0.780205 + 0.450452i
\(235\) 2.02506 + 2.62743i 0.132101 + 0.171395i
\(236\) 7.07963 12.2623i 0.460845 0.798207i
\(237\) 18.8982 18.8982i 1.22757 1.22757i
\(238\) 15.3343 3.60154i 0.993977 0.233453i
\(239\) −1.13070 −0.0731389 −0.0365695 0.999331i \(-0.511643\pi\)
−0.0365695 + 0.999331i \(0.511643\pi\)
\(240\) −6.27367 2.58289i −0.404964 0.166725i
\(241\) 19.2028 11.0867i 1.23696 0.714160i 0.268490 0.963283i \(-0.413475\pi\)
0.968472 + 0.249122i \(0.0801422\pi\)
\(242\) −3.66069 + 10.3730i −0.235318 + 0.666802i
\(243\) −1.00420 3.74774i −0.0644197 0.240418i
\(244\) 3.24106 0.207487
\(245\) −11.8234 10.2571i −0.755368 0.655301i
\(246\) −14.5271 −0.926215
\(247\) −0.372411 + 0.0997873i −0.0236960 + 0.00634931i
\(248\) 0.850780 3.17515i 0.0540246 0.201622i
\(249\) 4.85800 + 8.41431i 0.307863 + 0.533235i
\(250\) −1.38801 + 11.0938i −0.0877852 + 0.701636i
\(251\) 7.78989 0.491693 0.245847 0.969309i \(-0.420934\pi\)
0.245847 + 0.969309i \(0.420934\pi\)
\(252\) 3.75429 + 15.9847i 0.236498 + 1.00694i
\(253\) 11.6651 + 0.452026i 0.733382 + 0.0284186i
\(254\) 2.17699 + 1.25688i 0.136596 + 0.0788639i
\(255\) −5.18637 + 40.0578i −0.324783 + 2.50852i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −3.79149 + 1.01593i −0.236507 + 0.0633718i −0.375126 0.926974i \(-0.622400\pi\)
0.138619 + 0.990346i \(0.455734\pi\)
\(258\) −11.2016 + 11.2016i −0.697382 + 0.697382i
\(259\) 14.5014 + 27.0254i 0.901076 + 1.67928i
\(260\) 0.658670 + 4.92154i 0.0408490 + 0.305221i
\(261\) 35.6163 + 20.5631i 2.20459 + 1.27282i
\(262\) −2.52516 + 9.42402i −0.156005 + 0.582218i
\(263\) 7.67621 28.6480i 0.473336 1.76651i −0.154319 0.988021i \(-0.549318\pi\)
0.627655 0.778492i \(-0.284015\pi\)
\(264\) −9.81380 + 2.22620i −0.603997 + 0.137013i
\(265\) 1.99760 + 14.9259i 0.122711 + 0.916891i
\(266\) −0.0142898 + 0.459142i −0.000876166 + 0.0281518i
\(267\) −0.475586 0.475586i −0.0291054 0.0291054i
\(268\) 0.436089 + 1.62751i 0.0266384 + 0.0994157i
\(269\) 1.31311 0.758122i 0.0800615 0.0462235i −0.459435 0.888211i \(-0.651948\pi\)
0.539496 + 0.841988i \(0.318615\pi\)
\(270\) −21.5716 2.79292i −1.31281 0.169972i
\(271\) −9.20142 5.31244i −0.558947 0.322708i 0.193776 0.981046i \(-0.437927\pi\)
−0.752723 + 0.658338i \(0.771260\pi\)
\(272\) −4.20979 + 4.20979i −0.255256 + 0.255256i
\(273\) 12.9910 12.2067i 0.786250 0.738786i
\(274\) −3.16299 −0.191083
\(275\) 7.79209 + 14.6384i 0.469881 + 0.882730i
\(276\) 5.33982 + 9.24884i 0.321419 + 0.556715i
\(277\) 11.9243 + 3.19511i 0.716461 + 0.191975i 0.598592 0.801054i \(-0.295727\pi\)
0.117869 + 0.993029i \(0.462394\pi\)
\(278\) 3.52455 + 13.1538i 0.211389 + 0.788913i
\(279\) 20.4003i 1.22133i
\(280\) 5.84064 + 0.941772i 0.349045 + 0.0562817i
\(281\) 14.5160i 0.865950i −0.901406 0.432975i \(-0.857464\pi\)
0.901406 0.432975i \(-0.142536\pi\)
\(282\) 1.16501 + 4.34787i 0.0693752 + 0.258912i
\(283\) −1.82776 + 6.82129i −0.108649 + 0.405484i −0.998734 0.0503119i \(-0.983978\pi\)
0.890085 + 0.455795i \(0.150645\pi\)
\(284\) 9.28223 5.35910i 0.550799 0.318004i
\(285\) −1.08926 0.448451i −0.0645219 0.0265639i
\(286\) 5.00222 + 5.40552i 0.295787 + 0.319635i
\(287\) 12.3320 2.89638i 0.727933 0.170968i
\(288\) −4.38834 4.38834i −0.258585 0.258585i
\(289\) 15.9736 + 9.22234i 0.939622 + 0.542491i
\(290\) 11.7365 9.04577i 0.689190 0.531186i
\(291\) −17.1049 29.6265i −1.00271 1.73674i
\(292\) −2.05631 7.67425i −0.120336 0.449101i
\(293\) −22.8571 22.8571i −1.33533 1.33533i −0.900527 0.434800i \(-0.856819\pi\)
−0.434800 0.900527i \(-0.643181\pi\)
\(294\) −9.45515 19.0183i −0.551435 1.10917i
\(295\) −25.1597 19.2201i −1.46485 1.11904i
\(296\) −10.0392 5.79614i −0.583517 0.336894i
\(297\) −28.5442 + 15.0375i −1.65630 + 0.872562i
\(298\) −19.5998 5.25176i −1.13539 0.304226i
\(299\) 3.90806 6.76895i 0.226009 0.391458i
\(300\) −7.52897 + 13.1706i −0.434685 + 0.760408i
\(301\) 7.27562 11.7423i 0.419360 0.676816i
\(302\) 4.55147 + 4.55147i 0.261907 + 0.261907i
\(303\) 35.4523 9.49942i 2.03668 0.545727i
\(304\) −0.0868117 0.150362i −0.00497899 0.00862387i
\(305\) 0.930546 7.18723i 0.0532829 0.411540i
\(306\) −18.4740 + 31.9979i −1.05609 + 1.82920i
\(307\) −11.0798 + 11.0798i −0.632358 + 0.632358i −0.948659 0.316301i \(-0.897559\pi\)
0.316301 + 0.948659i \(0.397559\pi\)
\(308\) 7.88700 3.84645i 0.449404 0.219172i
\(309\) 13.1041i 0.745465i
\(310\) −6.79682 2.79828i −0.386033 0.158932i
\(311\) 2.71169 + 4.69678i 0.153766 + 0.266330i 0.932609 0.360889i \(-0.117527\pi\)
−0.778843 + 0.627219i \(0.784193\pi\)
\(312\) −1.74383 + 6.50806i −0.0987249 + 0.368446i
\(313\) 7.45027 + 27.8048i 0.421114 + 1.57162i 0.772266 + 0.635300i \(0.219124\pi\)
−0.351152 + 0.936319i \(0.614210\pi\)
\(314\) −7.93977 −0.448067
\(315\) 36.5249 3.73596i 2.05795 0.210497i
\(316\) 8.80844i 0.495514i
\(317\) −11.0514 + 2.96122i −0.620709 + 0.166319i −0.555450 0.831550i \(-0.687454\pi\)
−0.0652590 + 0.997868i \(0.520787\pi\)
\(318\) −5.28863 + 19.7374i −0.296572 + 1.10682i
\(319\) 6.50623 20.9935i 0.364279 1.17541i
\(320\) −2.06402 + 0.860133i −0.115382 + 0.0480829i
\(321\) 44.7469i 2.49753i
\(322\) −6.37694 6.78663i −0.355373 0.378204i
\(323\) −0.730918 + 0.730918i −0.0406694 + 0.0406694i
\(324\) −9.43700 5.44846i −0.524278 0.302692i
\(325\) 11.1029 0.0476065i 0.615879 0.00264074i
\(326\) −5.86004 + 3.38329i −0.324558 + 0.187383i
\(327\) −10.5042 39.2021i −0.580883 2.16788i
\(328\) −3.38554 + 3.38554i −0.186935 + 0.186935i
\(329\) −1.85583 3.45859i −0.102315 0.190678i
\(330\) 2.11907 + 22.4018i 0.116651 + 1.23318i
\(331\) −1.64939 + 2.85683i −0.0906586 + 0.157025i −0.907788 0.419428i \(-0.862231\pi\)
0.817130 + 0.576454i \(0.195564\pi\)
\(332\) 3.09311 + 0.828795i 0.169756 + 0.0454860i
\(333\) −69.4909 18.6200i −3.80808 1.02037i
\(334\) −6.59603 3.80822i −0.360919 0.208377i
\(335\) 3.73430 0.499776i 0.204026 0.0273057i
\(336\) 6.82388 + 4.22812i 0.372273 + 0.230663i
\(337\) −11.5468 + 11.5468i −0.628993 + 0.628993i −0.947815 0.318821i \(-0.896713\pi\)
0.318821 + 0.947815i \(0.396713\pi\)
\(338\) −7.79398 + 2.08839i −0.423937 + 0.113593i
\(339\) 45.7275 26.4008i 2.48358 1.43390i
\(340\) 8.12678 + 10.5441i 0.440736 + 0.571836i
\(341\) −10.6322 + 2.41184i −0.575764 + 0.130608i
\(342\) −0.761918 0.761918i −0.0411998 0.0411998i
\(343\) 11.8182 + 14.2594i 0.638124 + 0.769933i
\(344\) 5.22107i 0.281501i
\(345\) 22.0430 9.18591i 1.18675 0.494553i
\(346\) −7.23827 12.5370i −0.389132 0.673996i
\(347\) −28.9808 7.76538i −1.55577 0.416868i −0.624449 0.781065i \(-0.714677\pi\)
−0.931322 + 0.364198i \(0.881343\pi\)
\(348\) 19.4215 5.20398i 1.04110 0.278962i
\(349\) −8.29717 −0.444137 −0.222069 0.975031i \(-0.571281\pi\)
−0.222069 + 0.975031i \(0.571281\pi\)
\(350\) 3.76535 12.6816i 0.201267 0.677858i
\(351\) 21.6012i 1.15299i
\(352\) −1.76829 + 2.80592i −0.0942500 + 0.149556i
\(353\) 24.4459 + 6.55027i 1.30113 + 0.348636i 0.841876 0.539671i \(-0.181452\pi\)
0.459250 + 0.888307i \(0.348118\pi\)
\(354\) −21.4806 37.2056i −1.14168 1.97745i
\(355\) −9.21908 22.1226i −0.489298 1.17414i
\(356\) −0.221670 −0.0117485
\(357\) 13.7997 45.7570i 0.730359 2.42172i
\(358\) −17.1621 17.1621i −0.907046 0.907046i
\(359\) −9.78988 + 16.9566i −0.516690 + 0.894933i 0.483122 + 0.875553i \(0.339503\pi\)
−0.999812 + 0.0193804i \(0.993831\pi\)
\(360\) −10.9913 + 8.47146i −0.579295 + 0.446485i
\(361\) 9.48493 + 16.4284i 0.499207 + 0.864651i
\(362\) −1.97412 7.36753i −0.103758 0.387229i
\(363\) 21.7031 + 25.3556i 1.13912 + 1.33083i
\(364\) 0.182764 5.87232i 0.00957942 0.307793i
\(365\) −17.6085 + 2.35662i −0.921670 + 0.123351i
\(366\) 4.91692 8.51636i 0.257012 0.445157i
\(367\) −0.955476 + 3.56588i −0.0498754 + 0.186138i −0.986369 0.164546i \(-0.947384\pi\)
0.936494 + 0.350684i \(0.114051\pi\)
\(368\) 3.39988 + 0.910995i 0.177231 + 0.0474889i
\(369\) −14.8569 + 25.7329i −0.773419 + 1.33960i
\(370\) −15.7356 + 20.5984i −0.818057 + 1.07086i
\(371\) 0.554281 17.8094i 0.0287768 0.924618i
\(372\) −7.05249 7.05249i −0.365655 0.365655i
\(373\) 8.98030 2.40626i 0.464982 0.124592i −0.0187190 0.999825i \(-0.505959\pi\)
0.483701 + 0.875233i \(0.339292\pi\)
\(374\) 18.8607 + 5.84525i 0.975262 + 0.302250i
\(375\) 27.0450 + 20.4774i 1.39660 + 1.05745i
\(376\) 1.28477 + 0.741764i 0.0662571 + 0.0382535i
\(377\) −10.4054 10.4054i −0.535905 0.535905i
\(378\) 24.6407 + 7.43131i 1.26738 + 0.382225i
\(379\) 1.64295i 0.0843928i −0.999109 0.0421964i \(-0.986564\pi\)
0.999109 0.0421964i \(-0.0134355\pi\)
\(380\) −0.358362 + 0.149339i −0.0183836 + 0.00766094i
\(381\) 6.60530 3.81357i 0.338400 0.195375i
\(382\) 13.2156 + 3.54111i 0.676169 + 0.181179i
\(383\) −4.30896 16.0813i −0.220178 0.821714i −0.984279 0.176619i \(-0.943484\pi\)
0.764102 0.645096i \(-0.223183\pi\)
\(384\) −3.03415 −0.154836
\(385\) −6.26528 18.5943i −0.319308 0.947651i
\(386\) 13.6081 0.692632
\(387\) 8.38631 + 31.2981i 0.426300 + 1.59097i
\(388\) −10.8907 2.91816i −0.552893 0.148147i
\(389\) −10.4826 + 6.05215i −0.531491 + 0.306856i −0.741623 0.670817i \(-0.765944\pi\)
0.210133 + 0.977673i \(0.432610\pi\)
\(390\) 13.9313 + 5.73558i 0.705440 + 0.290433i
\(391\) 20.9554i 1.05976i
\(392\) −6.63573 2.22869i −0.335155 0.112566i
\(393\) 20.9322 + 20.9322i 1.05589 + 1.05589i
\(394\) −15.4971 8.94725i −0.780732 0.450756i
\(395\) −19.5332 2.52901i −0.982824 0.127248i
\(396\) −6.09316 + 19.6606i −0.306193 + 0.987982i
\(397\) −4.16274 + 1.11540i −0.208922 + 0.0559805i −0.361762 0.932270i \(-0.617825\pi\)
0.152840 + 0.988251i \(0.451158\pi\)
\(398\) 10.3150 + 10.3150i 0.517044 + 0.517044i
\(399\) 1.18478 + 0.734101i 0.0593134 + 0.0367510i
\(400\) 1.31479 + 4.82404i 0.0657396 + 0.241202i
\(401\) 14.5822 25.2571i 0.728201 1.26128i −0.229442 0.973322i \(-0.573690\pi\)
0.957643 0.287958i \(-0.0929765\pi\)
\(402\) 4.93809 + 1.32316i 0.246290 + 0.0659931i
\(403\) −1.88924 + 7.05076i −0.0941100 + 0.351223i
\(404\) 6.04831 10.4760i 0.300915 0.521200i
\(405\) −14.7917 + 19.3628i −0.735008 + 0.962145i
\(406\) −15.4492 + 8.28982i −0.766732 + 0.411417i
\(407\) −1.48872 + 38.4184i −0.0737930 + 1.90433i
\(408\) 4.67529 + 17.4484i 0.231461 + 0.863825i
\(409\) 7.10664 + 12.3091i 0.351401 + 0.608644i 0.986495 0.163791i \(-0.0523722\pi\)
−0.635095 + 0.772434i \(0.719039\pi\)
\(410\) 6.53560 + 8.47966i 0.322770 + 0.418781i
\(411\) −4.79849 + 8.31123i −0.236692 + 0.409963i
\(412\) −3.05390 3.05390i −0.150455 0.150455i
\(413\) 25.6527 + 27.3008i 1.26229 + 1.34338i
\(414\) 21.8441 1.07358
\(415\) 2.72597 6.62119i 0.133813 0.325021i
\(416\) 1.11030 + 1.92310i 0.0544370 + 0.0942877i
\(417\) 39.9106 + 10.6940i 1.95443 + 0.523688i
\(418\) −0.307016 + 0.487172i −0.0150166 + 0.0238284i
\(419\) 18.0151i 0.880097i −0.897974 0.440048i \(-0.854961\pi\)
0.897974 0.440048i \(-0.145039\pi\)
\(420\) 11.3353 13.9184i 0.553107 0.679149i
\(421\) −10.5777 −0.515527 −0.257763 0.966208i \(-0.582985\pi\)
−0.257763 + 0.966208i \(0.582985\pi\)
\(422\) −3.44231 + 0.922365i −0.167569 + 0.0449000i
\(423\) 8.89313 + 2.38291i 0.432399 + 0.115861i
\(424\) 3.36729 + 5.83232i 0.163530 + 0.283242i
\(425\) 25.7155 14.9943i 1.24739 0.727328i
\(426\) 32.5206i 1.57563i
\(427\) −2.47597 + 8.20979i −0.119821 + 0.397300i
\(428\) 10.4283 + 10.4283i 0.504069 + 0.504069i
\(429\) 21.7925 4.94350i 1.05215 0.238675i
\(430\) 11.5780 + 1.49903i 0.558342 + 0.0722897i
\(431\) −16.2778 + 9.39799i −0.784074 + 0.452685i −0.837872 0.545867i \(-0.816201\pi\)
0.0537982 + 0.998552i \(0.482867\pi\)
\(432\) −9.39617 + 2.51770i −0.452073 + 0.121133i
\(433\) −0.462481 + 0.462481i −0.0222254 + 0.0222254i −0.718132 0.695907i \(-0.755003\pi\)
0.695907 + 0.718132i \(0.255003\pi\)
\(434\) 7.39291 + 4.58070i 0.354871 + 0.219881i
\(435\) −5.96398 44.5625i −0.285951 2.13661i
\(436\) −11.5840 6.68805i −0.554775 0.320299i
\(437\) 0.590299 + 0.158170i 0.0282378 + 0.00756630i
\(438\) −23.2848 6.23914i −1.11259 0.298118i
\(439\) 14.4458 25.0209i 0.689461 1.19418i −0.282551 0.959252i \(-0.591181\pi\)
0.972012 0.234929i \(-0.0754859\pi\)
\(440\) 5.71459 + 4.72689i 0.272432 + 0.225346i
\(441\) −43.3583 2.70149i −2.06468 0.128642i
\(442\) 9.34828 9.34828i 0.444652 0.444652i
\(443\) 5.06677 + 18.9094i 0.240730 + 0.898415i 0.975482 + 0.220079i \(0.0706317\pi\)
−0.734752 + 0.678335i \(0.762702\pi\)
\(444\) −30.4604 + 17.5863i −1.44559 + 0.834610i
\(445\) −0.0636442 + 0.491567i −0.00301703 + 0.0233025i
\(446\) 15.8679 + 9.16133i 0.751366 + 0.433801i
\(447\) −43.5342 + 43.5342i −2.05910 + 2.05910i
\(448\) 2.57566 0.604940i 0.121689 0.0285807i
\(449\) 31.8378i 1.50252i 0.660008 + 0.751259i \(0.270553\pi\)
−0.660008 + 0.751259i \(0.729447\pi\)
\(450\) 15.6302 + 26.8062i 0.736815 + 1.26366i
\(451\) 15.1679 + 4.70078i 0.714227 + 0.221351i
\(452\) 4.50409 16.8095i 0.211854 0.790652i
\(453\) 18.8646 5.05474i 0.886334 0.237493i
\(454\) 21.5331i 1.01060i
\(455\) −12.9697 2.09130i −0.608031 0.0980418i
\(456\) −0.526799 −0.0246696
\(457\) −3.05364 11.3964i −0.142843 0.533099i −0.999842 0.0177800i \(-0.994340\pi\)
0.856999 0.515319i \(-0.172327\pi\)
\(458\) −1.18484 + 4.42187i −0.0553638 + 0.206620i
\(459\) 28.9569 + 50.1549i 1.35159 + 2.34103i
\(460\) 2.99633 7.27788i 0.139705 0.339333i
\(461\) 25.8772i 1.20522i −0.798035 0.602611i \(-0.794127\pi\)
0.798035 0.602611i \(-0.205873\pi\)
\(462\) 1.85804 26.5596i 0.0864440 1.23567i
\(463\) −9.58794 + 9.58794i −0.445589 + 0.445589i −0.893885 0.448296i \(-0.852031\pi\)
0.448296 + 0.893885i \(0.352031\pi\)
\(464\) 3.31339 5.73896i 0.153820 0.266424i
\(465\) −17.6642 + 13.6145i −0.819156 + 0.631356i
\(466\) 12.8829 + 22.3138i 0.596788 + 1.03367i
\(467\) −3.42025 + 0.916452i −0.158270 + 0.0424084i −0.337084 0.941475i \(-0.609441\pi\)
0.178814 + 0.983883i \(0.442774\pi\)
\(468\) 9.74476 + 9.74476i 0.450452 + 0.450452i
\(469\) −4.45572 0.138675i −0.205746 0.00640341i
\(470\) 2.01378 2.63609i 0.0928887 0.121594i
\(471\) −12.0452 + 20.8629i −0.555014 + 0.961313i
\(472\) −13.6768 3.66469i −0.629526 0.168681i
\(473\) 15.3204 8.07099i 0.704432 0.371105i
\(474\) −23.1455 13.3631i −1.06311 0.613786i
\(475\) 0.228278 + 0.837565i 0.0104741 + 0.0384301i
\(476\) −7.44764 13.8797i −0.341362 0.636174i
\(477\) 29.5536 + 29.5536i 1.35317 + 1.35317i
\(478\) 0.292647 + 1.09217i 0.0133853 + 0.0499548i
\(479\) −15.8513 27.4553i −0.724266 1.25447i −0.959275 0.282472i \(-0.908845\pi\)
0.235010 0.971993i \(-0.424488\pi\)
\(480\) −0.871140 + 6.72840i −0.0397619 + 0.307108i
\(481\) 22.2931 + 12.8709i 1.01648 + 0.586863i
\(482\) −15.6790 15.6790i −0.714160 0.714160i
\(483\) −27.5072 + 6.46054i −1.25162 + 0.293965i
\(484\) 10.9670 + 0.851225i 0.498501 + 0.0386920i
\(485\) −9.59806 + 23.3130i −0.435825 + 1.05859i
\(486\) −3.36013 + 1.93997i −0.152419 + 0.0879989i
\(487\) −1.53288 + 5.72078i −0.0694614 + 0.259233i −0.991920 0.126861i \(-0.959510\pi\)
0.922459 + 0.386095i \(0.126176\pi\)
\(488\) −0.838847 3.13062i −0.0379728 0.141717i
\(489\) 20.5308i 0.928436i
\(490\) −6.84746 + 14.0752i −0.309337 + 0.635854i
\(491\) 24.5502i 1.10793i −0.832538 0.553967i \(-0.813113\pi\)
0.832538 0.553967i \(-0.186887\pi\)
\(492\) 3.75990 + 14.0321i 0.169509 + 0.632617i
\(493\) −38.1085 10.2111i −1.71632 0.459887i
\(494\) 0.192774 + 0.333895i 0.00867332 + 0.0150226i
\(495\) 41.8491 + 19.1567i 1.88098 + 0.861031i
\(496\) −3.28716 −0.147598
\(497\) 6.48387 + 27.6065i 0.290841 + 1.23832i
\(498\) 6.87025 6.87025i 0.307863 0.307863i
\(499\) −16.3553 9.44273i −0.732164 0.422715i 0.0870496 0.996204i \(-0.472256\pi\)
−0.819213 + 0.573489i \(0.805589\pi\)
\(500\) 11.0751 1.53059i 0.495292 0.0684500i
\(501\) −20.0133 + 11.5547i −0.894130 + 0.516226i
\(502\) −2.01617 7.52445i −0.0899861 0.335833i
\(503\) −2.64950 2.64950i −0.118136 0.118136i 0.645568 0.763703i \(-0.276621\pi\)
−0.763703 + 0.645568i \(0.776621\pi\)
\(504\) 14.4684 7.76351i 0.644472 0.345814i
\(505\) −21.4946 16.4203i −0.956495 0.730692i
\(506\) −2.58254 11.3847i −0.114808 0.506110i
\(507\) −6.33649 + 23.6481i −0.281413 + 1.05025i
\(508\) 0.650611 2.42811i 0.0288662 0.107730i
\(509\) −4.80854 2.77621i −0.213135 0.123053i 0.389633 0.920970i \(-0.372602\pi\)
−0.602767 + 0.797917i \(0.705935\pi\)
\(510\) 40.0352 5.35808i 1.77279 0.237260i
\(511\) 21.0102 + 0.653900i 0.929438 + 0.0289268i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −1.63139 + 0.437131i −0.0720278 + 0.0192998i
\(514\) 1.96262 + 3.39936i 0.0865676 + 0.149939i
\(515\) −7.64901 + 5.89539i −0.337056 + 0.259782i
\(516\) 13.7191 + 7.92074i 0.603951 + 0.348691i
\(517\) 0.190520 4.91661i 0.00837904 0.216232i
\(518\) 22.3513 21.0020i 0.982060 0.922776i
\(519\) −43.9239 −1.92805
\(520\) 4.58336 1.91001i 0.200994 0.0837597i
\(521\) −13.9099 24.0926i −0.609403 1.05552i −0.991339 0.131329i \(-0.958076\pi\)
0.381935 0.924189i \(-0.375258\pi\)
\(522\) 10.6442 39.7248i 0.465885 1.73871i
\(523\) −27.4535 + 7.35614i −1.20046 + 0.321662i −0.803011 0.595964i \(-0.796770\pi\)
−0.397447 + 0.917625i \(0.630104\pi\)
\(524\) 9.75646 0.426213
\(525\) −27.6104 29.1329i −1.20502 1.27146i
\(526\) −29.6586 −1.29318
\(527\) 5.06516 + 18.9034i 0.220642 + 0.823446i
\(528\) 4.69034 + 8.90322i 0.204121 + 0.387463i
\(529\) 9.18931 5.30545i 0.399535 0.230672i
\(530\) 13.9003 5.79264i 0.603790 0.251616i
\(531\) −87.8731 −3.81337
\(532\) 0.447196 0.105032i 0.0193884 0.00455370i
\(533\) 7.51794 7.51794i 0.325638 0.325638i
\(534\) −0.336290 + 0.582472i −0.0145527 + 0.0252060i
\(535\) 26.1193 20.1312i 1.12924 0.870347i
\(536\) 1.45918 0.842459i 0.0630271 0.0363887i
\(537\) −71.1322 + 19.0598i −3.06958 + 0.822492i
\(538\) −1.07215 1.07215i −0.0462235 0.0462235i
\(539\) 3.71811 + 22.9167i 0.160150 + 0.987093i
\(540\) 2.88539 + 21.5594i 0.124167 + 0.927770i
\(541\) −8.08058 4.66532i −0.347411 0.200578i 0.316133 0.948715i \(-0.397615\pi\)
−0.663544 + 0.748137i \(0.730949\pi\)
\(542\) −2.74992 + 10.2629i −0.118119 + 0.440827i
\(543\) −22.3542 5.98978i −0.959309 0.257046i
\(544\) 5.15592 + 2.97677i 0.221058 + 0.127628i
\(545\) −18.1571 + 23.7681i −0.777763 + 1.01811i
\(546\) −15.1531 9.38898i −0.648494 0.401811i
\(547\) 3.74412 3.74412i 0.160087 0.160087i −0.622518 0.782605i \(-0.713890\pi\)
0.782605 + 0.622518i \(0.213890\pi\)
\(548\) 0.818642 + 3.05521i 0.0349707 + 0.130512i
\(549\) −10.0571 17.4194i −0.429226 0.743441i
\(550\) 12.1229 11.3153i 0.516922 0.482485i
\(551\) 0.575282 0.996417i 0.0245078 0.0424488i
\(552\) 7.55164 7.55164i 0.321419 0.321419i
\(553\) 22.3123 + 6.72911i 0.948817 + 0.286151i
\(554\) 12.3449i 0.524486i
\(555\) 30.2532 + 72.5970i 1.28418 + 3.08157i
\(556\) 11.7934 6.80891i 0.500151 0.288762i
\(557\) 15.6638 + 4.19710i 0.663696 + 0.177837i 0.574913 0.818214i \(-0.305036\pi\)
0.0887824 + 0.996051i \(0.471702\pi\)
\(558\) −19.7052 + 5.27998i −0.834186 + 0.223519i
\(559\) 11.5939i 0.490370i
\(560\) −0.601986 5.88537i −0.0254386 0.248702i
\(561\) 43.9723 40.6915i 1.85651 1.71800i
\(562\) −14.0213 + 3.75701i −0.591455 + 0.158480i
\(563\) 11.4072 42.5721i 0.480755 1.79420i −0.117705 0.993049i \(-0.537554\pi\)
0.598460 0.801153i \(-0.295780\pi\)
\(564\) 3.89819 2.25062i 0.164143 0.0947682i
\(565\) −35.9828 14.8143i −1.51381 0.623242i
\(566\) 7.06192 0.296835
\(567\) 21.0106 19.7422i 0.882361 0.829095i
\(568\) −7.57891 7.57891i −0.318004 0.318004i
\(569\) −9.08697 + 15.7391i −0.380946 + 0.659817i −0.991198 0.132390i \(-0.957735\pi\)
0.610252 + 0.792207i \(0.291068\pi\)
\(570\) −0.151250 + 1.16821i −0.00633518 + 0.0489308i
\(571\) −34.8710 + 20.1328i −1.45931 + 0.842531i −0.998977 0.0452164i \(-0.985602\pi\)
−0.460330 + 0.887748i \(0.652269\pi\)
\(572\) 3.92666 6.23082i 0.164182 0.260524i
\(573\) 29.3538 29.3538i 1.22627 1.22627i
\(574\) −5.98943 11.1621i −0.249994 0.465898i
\(575\) −15.2788 8.73411i −0.637171 0.364237i
\(576\) −3.10303 + 5.37460i −0.129293 + 0.223942i
\(577\) 3.73411 13.9359i 0.155453 0.580159i −0.843613 0.536952i \(-0.819576\pi\)
0.999066 0.0432071i \(-0.0137575\pi\)
\(578\) 4.77384 17.8162i 0.198565 0.741056i
\(579\) 20.6444 35.7572i 0.857953 1.48602i
\(580\) −11.7752 8.99536i −0.488937 0.373512i
\(581\) −4.46233 + 7.20188i −0.185129 + 0.298784i
\(582\) −24.1899 + 24.1899i −1.00271 + 1.00271i
\(583\) 11.9087 18.8967i 0.493207 0.782620i
\(584\) −6.88054 + 3.97248i −0.284719 + 0.164382i
\(585\) 24.4074 18.8117i 1.00912 0.777770i
\(586\) −16.1624 + 27.9941i −0.667663 + 1.15643i
\(587\) 28.7754 + 28.7754i 1.18769 + 1.18769i 0.977705 + 0.209984i \(0.0673413\pi\)
0.209984 + 0.977705i \(0.432659\pi\)
\(588\) −15.9231 + 14.0553i −0.656658 + 0.579630i
\(589\) −0.570728 −0.0235164
\(590\) −12.0534 + 29.2769i −0.496232 + 1.20531i
\(591\) −47.0204 + 27.1473i −1.93416 + 1.11669i
\(592\) −3.00030 + 11.1973i −0.123312 + 0.460205i
\(593\) −6.60744 + 1.77046i −0.271335 + 0.0727041i −0.391921 0.919999i \(-0.628189\pi\)
0.120586 + 0.992703i \(0.461523\pi\)
\(594\) 21.9128 + 23.6796i 0.899095 + 0.971584i
\(595\) −32.9173 + 12.5305i −1.34948 + 0.513702i
\(596\) 20.2912i 0.831161i
\(597\) 42.7528 11.4556i 1.74976 0.468846i
\(598\) −7.54978 2.02296i −0.308734 0.0827249i
\(599\) −38.7397 + 22.3664i −1.58286 + 0.913865i −0.588421 + 0.808555i \(0.700250\pi\)
−0.994439 + 0.105310i \(0.966417\pi\)
\(600\) 14.6705 + 3.86361i 0.598921 + 0.157731i
\(601\) 41.4937i 1.69256i 0.532735 + 0.846282i \(0.321164\pi\)
−0.532735 + 0.846282i \(0.678836\pi\)
\(602\) −13.2253 3.98857i −0.539022 0.162562i
\(603\) 7.39399 7.39399i 0.301107 0.301107i
\(604\) 3.21837 5.57438i 0.130954 0.226818i
\(605\) 5.03640 24.0756i 0.204759 0.978812i
\(606\) −18.3515 31.7857i −0.745477 1.29120i
\(607\) −6.40193 23.8923i −0.259847 0.969760i −0.965330 0.261034i \(-0.915937\pi\)
0.705483 0.708727i \(-0.250730\pi\)
\(608\) −0.122770 + 0.122770i −0.00497899 + 0.00497899i
\(609\) −1.65485 + 53.1714i −0.0670579 + 2.15461i
\(610\) −7.18318 + 0.961354i −0.290838 + 0.0389241i
\(611\) −2.85297 1.64716i −0.115419 0.0666371i
\(612\) 35.6890 + 9.56285i 1.44264 + 0.386555i
\(613\) −1.50058 + 5.60024i −0.0606078 + 0.226192i −0.989586 0.143943i \(-0.954022\pi\)
0.928978 + 0.370135i \(0.120688\pi\)
\(614\) 13.5699 + 7.83461i 0.547638 + 0.316179i
\(615\) 32.1966 4.30900i 1.29829 0.173756i
\(616\) −5.75669 6.62273i −0.231944 0.266837i
\(617\) −12.1840 12.1840i −0.490511 0.490511i 0.417956 0.908467i \(-0.362746\pi\)
−0.908467 + 0.417956i \(0.862746\pi\)
\(618\) −12.6576 + 3.39159i −0.509162 + 0.136430i
\(619\) −2.75556 + 1.59092i −0.110755 + 0.0639445i −0.554354 0.832281i \(-0.687035\pi\)
0.443599 + 0.896225i \(0.353701\pi\)
\(620\) −0.943783 + 7.28947i −0.0379032 + 0.292752i
\(621\) 17.1197 29.6522i 0.686991 1.18990i
\(622\) 3.83491 3.83491i 0.153766 0.153766i
\(623\) 0.169343 0.561505i 0.00678457 0.0224962i
\(624\) 6.73764 0.269721
\(625\) −0.214384 24.9991i −0.00857535 0.999963i
\(626\) 24.9291 14.3928i 0.996366 0.575252i
\(627\) 0.814353 + 1.54581i 0.0325221 + 0.0617336i
\(628\) 2.05496 + 7.66923i 0.0820020 + 0.306036i
\(629\) 69.0151 2.75181
\(630\) −13.0620 34.3134i −0.520403 1.36708i
\(631\) 32.4996 1.29379 0.646893 0.762580i \(-0.276068\pi\)
0.646893 + 0.762580i \(0.276068\pi\)
\(632\) −8.50830 + 2.27979i −0.338442 + 0.0906853i
\(633\) −2.79859 + 10.4445i −0.111234 + 0.415131i
\(634\) 5.72063 + 9.90842i 0.227195 + 0.393514i
\(635\) −5.19769 2.13991i −0.206264 0.0849197i
\(636\) 20.4337 0.810249
\(637\) 14.7353 + 4.94904i 0.583835 + 0.196088i
\(638\) −21.9621 0.851033i −0.869486 0.0336927i
\(639\) −57.6060 33.2588i −2.27886 1.31570i
\(640\) 1.36503 + 1.77107i 0.0539576 + 0.0700077i
\(641\) 11.8777 + 20.5728i 0.469141 + 0.812576i 0.999378 0.0352739i \(-0.0112304\pi\)
−0.530237 + 0.847849i \(0.677897\pi\)
\(642\) 43.2222 11.5814i 1.70585 0.457080i
\(643\) 18.1265 18.1265i 0.714840 0.714840i −0.252704 0.967544i \(-0.581320\pi\)
0.967544 + 0.252704i \(0.0813198\pi\)
\(644\) −4.90491 + 7.91616i −0.193280 + 0.311940i
\(645\) 21.5036 28.1488i 0.846705 1.10836i
\(646\) 0.895188 + 0.516837i 0.0352207 + 0.0203347i
\(647\) 7.24195 27.0273i 0.284710 1.06255i −0.664340 0.747430i \(-0.731287\pi\)
0.949051 0.315124i \(-0.102046\pi\)
\(648\) −2.82033 + 10.5256i −0.110793 + 0.413485i
\(649\) 10.3889 + 45.7974i 0.407798 + 1.79771i
\(650\) −2.91963 10.7123i −0.114517 0.420170i
\(651\) 23.2521 12.4767i 0.911320 0.489001i
\(652\) 4.78470 + 4.78470i 0.187383 + 0.187383i
\(653\) −2.29359 8.55981i −0.0897553 0.334971i 0.906417 0.422384i \(-0.138807\pi\)
−0.996172 + 0.0874130i \(0.972140\pi\)
\(654\) −35.1477 + 20.2925i −1.37438 + 0.793500i
\(655\) 2.80120 21.6355i 0.109452 0.845370i
\(656\) 4.14642 + 2.39394i 0.161891 + 0.0934676i
\(657\) −34.8652 + 34.8652i −1.36022 + 1.36022i
\(658\) −2.86042 + 2.68775i −0.111511 + 0.104779i
\(659\) 36.2312 1.41137 0.705685 0.708526i \(-0.250640\pi\)
0.705685 + 0.708526i \(0.250640\pi\)
\(660\) 21.0901 7.84488i 0.820929 0.305362i
\(661\) −1.46096 2.53045i −0.0568246 0.0984230i 0.836214 0.548404i \(-0.184764\pi\)
−0.893038 + 0.449981i \(0.851431\pi\)
\(662\) 3.18638 + 0.853787i 0.123842 + 0.0331834i
\(663\) −10.3820 38.7460i −0.403202 1.50477i
\(664\) 3.20222i 0.124270i
\(665\) −0.104519 1.02184i −0.00405307 0.0396252i
\(666\) 71.9422i 2.78770i
\(667\) 6.03696 + 22.5303i 0.233752 + 0.872375i
\(668\) −1.97128 + 7.35692i −0.0762711 + 0.284648i
\(669\) 48.1455 27.7968i 1.86141 1.07469i
\(670\) −1.44925 3.47770i −0.0559896 0.134355i
\(671\) −7.88957 + 7.30093i −0.304573 + 0.281849i
\(672\) 2.31790 7.68568i 0.0894150 0.296482i
\(673\) −12.7070 12.7070i −0.489819 0.489819i 0.418430 0.908249i \(-0.362580\pi\)
−0.908249 + 0.418430i \(0.862580\pi\)
\(674\) 14.1419 + 8.16481i 0.544724 + 0.314497i
\(675\) 48.6377 0.208546i 1.87207 0.00802695i
\(676\) 4.03446 + 6.98789i 0.155172 + 0.268765i
\(677\) 5.59473 + 20.8798i 0.215023 + 0.802476i 0.986159 + 0.165805i \(0.0530223\pi\)
−0.771136 + 0.636671i \(0.780311\pi\)
\(678\) −37.3364 37.3364i −1.43390 1.43390i
\(679\) 15.7117 25.3576i 0.602961 0.973135i
\(680\) 8.08149 10.5789i 0.309911 0.405682i
\(681\) −56.5814 32.6673i −2.16821 1.25181i
\(682\) 5.08146 + 9.64564i 0.194579 + 0.369351i
\(683\) 2.78893 + 0.747293i 0.106716 + 0.0285944i 0.311782 0.950154i \(-0.399074\pi\)
−0.205066 + 0.978748i \(0.565741\pi\)
\(684\) −0.538758 + 0.933156i −0.0205999 + 0.0356801i
\(685\) 7.01016 0.938198i 0.267844 0.0358467i
\(686\) 10.7147 15.1061i 0.409089 0.576755i
\(687\) 9.82163 + 9.82163i 0.374719 + 0.374719i
\(688\) 5.04316 1.35131i 0.192269 0.0515183i
\(689\) −7.47741 12.9513i −0.284867 0.493404i
\(690\) −14.5780 18.9144i −0.554977 0.720058i
\(691\) 1.52075 2.63402i 0.0578522 0.100203i −0.835649 0.549264i \(-0.814908\pi\)
0.893501 + 0.449061i \(0.148241\pi\)
\(692\) −10.2365 + 10.2365i −0.389132 + 0.389132i
\(693\) −45.1467 30.4538i −1.71498 1.15685i
\(694\) 30.0031i 1.13890i
\(695\) −11.7131 28.1074i −0.444305 1.06618i
\(696\) −10.0533 17.4128i −0.381070 0.660032i
\(697\) 7.37759 27.5335i 0.279446 1.04291i
\(698\) 2.14747 + 8.01445i 0.0812828 + 0.303351i
\(699\) 78.1772 2.95693
\(700\) −13.2240 0.354821i −0.499820 0.0134110i
\(701\) 6.89263i 0.260331i 0.991492 + 0.130166i \(0.0415509\pi\)
−0.991492 + 0.130166i \(0.958449\pi\)
\(702\) 20.8652 5.59080i 0.787505 0.211011i
\(703\) −0.520922 + 1.94411i −0.0196470 + 0.0733234i
\(704\) 3.16797 + 0.981809i 0.119397 + 0.0370033i
\(705\) −3.87167 9.29064i −0.145815 0.349906i
\(706\) 25.3083i 0.952490i
\(707\) 21.9158 + 23.3237i 0.824227 + 0.877180i
\(708\) −30.3782 + 30.3782i −1.14168 + 1.14168i
\(709\) −13.8771 8.01192i −0.521164 0.300894i 0.216247 0.976339i \(-0.430618\pi\)
−0.737411 + 0.675445i \(0.763952\pi\)
\(710\) −18.9827 + 14.6307i −0.712407 + 0.549080i
\(711\) −47.3418 + 27.3328i −1.77546 + 1.02506i
\(712\) 0.0573725 + 0.214117i 0.00215013 + 0.00802438i
\(713\) 8.18136 8.18136i 0.306395 0.306395i
\(714\) −47.7695 1.48673i −1.78773 0.0556394i
\(715\) −12.6898 10.4965i −0.474573 0.392549i
\(716\) −12.1354 + 21.0192i −0.453523 + 0.785525i
\(717\) 3.31381 + 0.887933i 0.123757 + 0.0331605i
\(718\) 18.9126 + 5.06761i 0.705812 + 0.189122i
\(719\) 29.9863 + 17.3126i 1.11830 + 0.645650i 0.940966 0.338501i \(-0.109920\pi\)
0.177332 + 0.984151i \(0.443253\pi\)
\(720\) 11.0276 + 8.42425i 0.410973 + 0.313953i
\(721\) 10.0687 5.40272i 0.374978 0.201208i
\(722\) 13.4137 13.4137i 0.499207 0.499207i
\(723\) −64.9852 + 17.4127i −2.41683 + 0.647587i
\(724\) −6.60554 + 3.81371i −0.245493 + 0.141736i
\(725\) −23.3285 + 23.5294i −0.866400 + 0.873862i
\(726\) 18.8745 27.5261i 0.700498 1.02159i
\(727\) −15.2561 15.2561i −0.565816 0.565816i 0.365138 0.930954i \(-0.381022\pi\)
−0.930954 + 0.365138i \(0.881022\pi\)
\(728\) −5.71953 + 1.34333i −0.211980 + 0.0497872i
\(729\) 20.9184i 0.774756i
\(730\) 6.83373 + 16.3986i 0.252928 + 0.606938i
\(731\) −15.5419 26.9194i −0.574839 0.995650i
\(732\) −9.49876 2.54519i −0.351084 0.0940728i
\(733\) −10.1203 + 2.71171i −0.373800 + 0.100159i −0.440828 0.897592i \(-0.645315\pi\)
0.0670277 + 0.997751i \(0.478648\pi\)
\(734\) 3.69167 0.136262
\(735\) 26.5967 + 39.3459i 0.981034 + 1.45129i
\(736\) 3.51981i 0.129742i
\(737\) −4.72774 2.97942i −0.174148 0.109748i
\(738\) 28.7013 + 7.69050i 1.05651 + 0.283091i
\(739\) −13.0304 22.5694i −0.479333 0.830228i 0.520386 0.853931i \(-0.325788\pi\)
−0.999719 + 0.0237025i \(0.992455\pi\)
\(740\) 23.9692 + 9.86821i 0.881125 + 0.362763i
\(741\) 1.16981 0.0429741
\(742\) −17.3460 + 4.07402i −0.636792 + 0.149562i
\(743\) −14.8293 14.8293i −0.544035 0.544035i 0.380674 0.924709i \(-0.375692\pi\)
−0.924709 + 0.380674i \(0.875692\pi\)
\(744\) −4.98687 + 8.63750i −0.182827 + 0.316666i
\(745\) 44.9970 + 5.82586i 1.64856 + 0.213443i
\(746\) −4.64854 8.05152i −0.170195 0.294787i
\(747\) −5.14354 19.1960i −0.188192 0.702344i
\(748\) 0.764574 19.7309i 0.0279556 0.721432i
\(749\) −34.3820 + 18.4489i −1.25629 + 0.674107i
\(750\) 12.7799 31.4234i 0.466654 1.14742i
\(751\) 3.47651 6.02149i 0.126860 0.219727i −0.795599 0.605824i \(-0.792844\pi\)
0.922458 + 0.386097i \(0.126177\pi\)
\(752\) 0.383965 1.43298i 0.0140018 0.0522553i
\(753\) −22.8303 6.11736i −0.831982 0.222929i
\(754\) −7.35772 + 12.7439i −0.267952 + 0.464107i
\(755\) −11.4375 8.73740i −0.416253 0.317987i
\(756\) 0.800620 25.7244i 0.0291183 0.935589i
\(757\) −30.5139 30.5139i −1.10905 1.10905i −0.993276 0.115769i \(-0.963067\pi\)
−0.115769 0.993276i \(-0.536933\pi\)
\(758\) −1.58697 + 0.425227i −0.0576414 + 0.0154450i
\(759\) −33.8328 10.4854i −1.22805 0.380595i
\(760\) 0.237001 + 0.307499i 0.00859695 + 0.0111542i
\(761\) 0.600352 + 0.346613i 0.0217627 + 0.0125647i 0.510842 0.859675i \(-0.329334\pi\)
−0.489079 + 0.872239i \(0.662667\pi\)
\(762\) −5.39321 5.39321i −0.195375 0.195375i
\(763\) 25.7907 24.2338i 0.933687 0.877323i
\(764\) 13.6818i 0.494990i
\(765\) 31.4529 76.3969i 1.13718 2.76214i
\(766\) −14.4181 + 8.32428i −0.520946 + 0.300768i
\(767\) 30.3707 + 8.13781i 1.09662 + 0.293839i
\(768\) 0.785295 + 2.93076i 0.0283369 + 0.105755i
\(769\) 1.97482 0.0712139 0.0356070 0.999366i \(-0.488664\pi\)
0.0356070 + 0.999366i \(0.488664\pi\)
\(770\) −16.3391 + 10.8643i −0.588820 + 0.391524i
\(771\) 11.9098 0.428920
\(772\) −3.52203 13.1444i −0.126760 0.473076i
\(773\) 40.1761 + 10.7651i 1.44503 + 0.387195i 0.894293 0.447482i \(-0.147679\pi\)
0.550740