Properties

Label 570.2.bi.a.47.38
Level $570$
Weight $2$
Character 570.47
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 47.38
Character \(\chi\) \(=\) 570.47
Dual form 570.2.bi.a.473.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.819152 + 0.573576i) q^{2} +(1.50626 + 0.855093i) q^{3} +(0.342020 + 0.939693i) q^{4} +(1.97892 - 1.04110i) q^{5} +(0.743394 + 1.56441i) q^{6} +(-2.09813 + 0.562193i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(1.53763 + 2.57598i) q^{9} +O(q^{10})\) \(q+(0.819152 + 0.573576i) q^{2} +(1.50626 + 0.855093i) q^{3} +(0.342020 + 0.939693i) q^{4} +(1.97892 - 1.04110i) q^{5} +(0.743394 + 1.56441i) q^{6} +(-2.09813 + 0.562193i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(1.53763 + 2.57598i) q^{9} +(2.21818 + 0.282241i) q^{10} +(2.25218 - 1.30030i) q^{11} +(-0.288353 + 1.70788i) q^{12} +(-2.88829 + 0.252692i) q^{13} +(-2.04115 - 0.742919i) q^{14} +(3.87100 + 0.123992i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(1.92052 + 1.34476i) q^{17} +(-0.217968 + 2.99207i) q^{18} +(3.59309 + 2.46774i) q^{19} +(1.65514 + 1.50350i) q^{20} +(-3.64106 - 0.947290i) q^{21} +(2.59070 + 0.226657i) q^{22} +(-5.73853 - 2.67592i) q^{23} +(-1.21580 + 1.23362i) q^{24} +(2.83222 - 4.12050i) q^{25} +(-2.51089 - 1.44966i) q^{26} +(0.113370 + 5.19492i) q^{27} +(-1.24589 - 1.77932i) q^{28} +(-0.986495 + 5.59469i) q^{29} +(3.09982 + 2.32188i) q^{30} +(4.45573 - 7.71755i) q^{31} +(-0.996195 + 0.0871557i) q^{32} +(4.50425 - 0.0327612i) q^{33} +(0.801875 + 2.20313i) q^{34} +(-3.56673 + 3.29690i) q^{35} +(-1.89473 + 2.32594i) q^{36} +(-8.53429 - 8.53429i) q^{37} +(1.52785 + 4.08236i) q^{38} +(-4.56659 - 2.08913i) q^{39} +(0.493443 + 2.18094i) q^{40} +(-3.23906 - 3.86016i) q^{41} +(-2.43924 - 2.86440i) q^{42} +(7.06928 - 3.29646i) q^{43} +(1.99217 + 1.67163i) q^{44} +(5.72470 + 3.49683i) q^{45} +(-3.16588 - 5.48347i) q^{46} +(1.86125 + 2.65814i) q^{47} +(-1.70350 + 0.313166i) q^{48} +(-1.97607 + 1.14089i) q^{49} +(4.68344 - 1.75082i) q^{50} +(1.74291 + 3.66779i) q^{51} +(-1.22531 - 2.62768i) q^{52} +(-7.30907 - 3.40827i) q^{53} +(-2.88681 + 4.32045i) q^{54} +(3.10314 - 4.91793i) q^{55} -2.17215i q^{56} +(3.30197 + 6.78948i) q^{57} +(-4.01707 + 4.01707i) q^{58} +(-0.302793 - 1.71723i) q^{59} +(1.20745 + 3.67996i) q^{60} +(-6.68929 + 2.43470i) q^{61} +(8.07653 - 3.76615i) q^{62} +(-4.67436 - 4.54031i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-5.45260 + 3.50705i) q^{65} +(3.70845 + 2.55669i) q^{66} +(-1.51120 + 1.05816i) q^{67} +(-0.606808 + 2.26464i) q^{68} +(-6.35555 - 8.93761i) q^{69} +(-4.81272 + 0.654868i) q^{70} +(-4.61510 + 12.6799i) q^{71} +(-2.88618 + 0.818526i) q^{72} +(1.25518 - 14.3468i) q^{73} +(-2.09581 - 11.8859i) q^{74} +(7.78947 - 3.78472i) q^{75} +(-1.09001 + 4.22041i) q^{76} +(-3.99436 + 3.99436i) q^{77} +(-2.54245 - 4.33060i) q^{78} +(7.19735 + 8.57747i) q^{79} +(-0.846732 + 2.06955i) q^{80} +(-4.27137 + 7.92183i) q^{81} +(-0.439185 - 5.01990i) q^{82} +(6.93717 - 1.85881i) q^{83} +(-0.355155 - 3.74547i) q^{84} +(5.20059 + 0.661722i) q^{85} +(7.68159 + 1.35447i) q^{86} +(-6.26990 + 7.58351i) q^{87} +(0.673084 + 2.51198i) q^{88} +(0.349266 + 0.293069i) q^{89} +(2.68370 + 6.14799i) q^{90} +(5.91796 - 2.15396i) q^{91} +(0.551850 - 6.30767i) q^{92} +(13.3107 - 7.81457i) q^{93} +3.24499i q^{94} +(9.67958 + 1.14269i) q^{95} +(-1.57505 - 0.720560i) q^{96} +(-1.74306 + 2.48935i) q^{97} +(-2.27309 - 0.198869i) q^{98} +(6.81258 + 3.80220i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.819152 + 0.573576i 0.579228 + 0.405580i
\(3\) 1.50626 + 0.855093i 0.869639 + 0.493688i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) 1.97892 1.04110i 0.884999 0.465594i
\(6\) 0.743394 + 1.56441i 0.303489 + 0.638666i
\(7\) −2.09813 + 0.562193i −0.793020 + 0.212489i −0.632517 0.774546i \(-0.717978\pi\)
−0.160503 + 0.987035i \(0.551312\pi\)
\(8\) −0.258819 + 0.965926i −0.0915064 + 0.341506i
\(9\) 1.53763 + 2.57598i 0.512544 + 0.858661i
\(10\) 2.21818 + 0.282241i 0.701451 + 0.0892526i
\(11\) 2.25218 1.30030i 0.679059 0.392055i −0.120442 0.992720i \(-0.538431\pi\)
0.799500 + 0.600666i \(0.205098\pi\)
\(12\) −0.288353 + 1.70788i −0.0832404 + 0.493022i
\(13\) −2.88829 + 0.252692i −0.801067 + 0.0700843i −0.480334 0.877085i \(-0.659485\pi\)
−0.320733 + 0.947170i \(0.603929\pi\)
\(14\) −2.04115 0.742919i −0.545521 0.198553i
\(15\) 3.87100 + 0.123992i 0.999487 + 0.0320146i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) 1.92052 + 1.34476i 0.465795 + 0.326153i 0.782803 0.622270i \(-0.213789\pi\)
−0.317008 + 0.948423i \(0.602678\pi\)
\(18\) −0.217968 + 2.99207i −0.0513754 + 0.705238i
\(19\) 3.59309 + 2.46774i 0.824310 + 0.566138i
\(20\) 1.65514 + 1.50350i 0.370101 + 0.336192i
\(21\) −3.64106 0.947290i −0.794545 0.206716i
\(22\) 2.59070 + 0.226657i 0.552339 + 0.0483234i
\(23\) −5.73853 2.67592i −1.19657 0.557968i −0.280834 0.959756i \(-0.590611\pi\)
−0.915733 + 0.401788i \(0.868389\pi\)
\(24\) −1.21580 + 1.23362i −0.248175 + 0.251812i
\(25\) 2.83222 4.12050i 0.566445 0.824100i
\(26\) −2.51089 1.44966i −0.492425 0.284302i
\(27\) 0.113370 + 5.19492i 0.0218181 + 0.999762i
\(28\) −1.24589 1.77932i −0.235452 0.336260i
\(29\) −0.986495 + 5.59469i −0.183188 + 1.03891i 0.745075 + 0.666981i \(0.232414\pi\)
−0.928262 + 0.371927i \(0.878697\pi\)
\(30\) 3.09982 + 2.32188i 0.565947 + 0.423916i
\(31\) 4.45573 7.71755i 0.800273 1.38611i −0.119163 0.992875i \(-0.538021\pi\)
0.919436 0.393239i \(-0.128645\pi\)
\(32\) −0.996195 + 0.0871557i −0.176104 + 0.0154071i
\(33\) 4.50425 0.0327612i 0.784089 0.00570299i
\(34\) 0.801875 + 2.20313i 0.137520 + 0.377834i
\(35\) −3.56673 + 3.29690i −0.602888 + 0.557278i
\(36\) −1.89473 + 2.32594i −0.315788 + 0.387657i
\(37\) −8.53429 8.53429i −1.40303 1.40303i −0.790273 0.612755i \(-0.790061\pi\)
−0.612755 0.790273i \(-0.709939\pi\)
\(38\) 1.52785 + 4.08236i 0.247849 + 0.662247i
\(39\) −4.56659 2.08913i −0.731239 0.334529i
\(40\) 0.493443 + 2.18094i 0.0780203 + 0.344837i
\(41\) −3.23906 3.86016i −0.505856 0.602856i 0.451320 0.892362i \(-0.350953\pi\)
−0.957176 + 0.289507i \(0.906509\pi\)
\(42\) −2.43924 2.86440i −0.376383 0.441987i
\(43\) 7.06928 3.29646i 1.07806 0.502705i 0.199281 0.979942i \(-0.436139\pi\)
0.878775 + 0.477237i \(0.158362\pi\)
\(44\) 1.99217 + 1.67163i 0.300331 + 0.252008i
\(45\) 5.72470 + 3.49683i 0.853388 + 0.521276i
\(46\) −3.16588 5.48347i −0.466784 0.808494i
\(47\) 1.86125 + 2.65814i 0.271491 + 0.387730i 0.931627 0.363417i \(-0.118390\pi\)
−0.660135 + 0.751147i \(0.729501\pi\)
\(48\) −1.70350 + 0.313166i −0.245880 + 0.0452016i
\(49\) −1.97607 + 1.14089i −0.282296 + 0.162984i
\(50\) 4.68344 1.75082i 0.662339 0.247603i
\(51\) 1.74291 + 3.66779i 0.244056 + 0.513593i
\(52\) −1.22531 2.62768i −0.169919 0.364393i
\(53\) −7.30907 3.40827i −1.00398 0.468162i −0.150119 0.988668i \(-0.547966\pi\)
−0.853858 + 0.520506i \(0.825744\pi\)
\(54\) −2.88681 + 4.32045i −0.392846 + 0.587939i
\(55\) 3.10314 4.91793i 0.418428 0.663133i
\(56\) 2.17215i 0.290266i
\(57\) 3.30197 + 6.78948i 0.437357 + 0.899288i
\(58\) −4.01707 + 4.01707i −0.527467 + 0.527467i
\(59\) −0.302793 1.71723i −0.0394203 0.223564i 0.958733 0.284308i \(-0.0917638\pi\)
−0.998153 + 0.0607440i \(0.980653\pi\)
\(60\) 1.20745 + 3.67996i 0.155880 + 0.475080i
\(61\) −6.68929 + 2.43470i −0.856476 + 0.311732i −0.732678 0.680576i \(-0.761730\pi\)
−0.123798 + 0.992307i \(0.539508\pi\)
\(62\) 8.07653 3.76615i 1.02572 0.478301i
\(63\) −4.67436 4.54031i −0.588914 0.572025i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) −5.45260 + 3.50705i −0.676312 + 0.434996i
\(66\) 3.70845 + 2.55669i 0.456479 + 0.314707i
\(67\) −1.51120 + 1.05816i −0.184623 + 0.129274i −0.662234 0.749297i \(-0.730392\pi\)
0.477611 + 0.878571i \(0.341503\pi\)
\(68\) −0.606808 + 2.26464i −0.0735863 + 0.274628i
\(69\) −6.35555 8.93761i −0.765119 1.07596i
\(70\) −4.81272 + 0.654868i −0.575230 + 0.0782717i
\(71\) −4.61510 + 12.6799i −0.547711 + 1.50482i 0.289081 + 0.957305i \(0.406650\pi\)
−0.836792 + 0.547520i \(0.815572\pi\)
\(72\) −2.88618 + 0.818526i −0.340139 + 0.0964642i
\(73\) 1.25518 14.3468i 0.146908 1.67917i −0.462739 0.886495i \(-0.653133\pi\)
0.609647 0.792673i \(-0.291311\pi\)
\(74\) −2.09581 11.8859i −0.243633 1.38171i
\(75\) 7.78947 3.78472i 0.899451 0.437022i
\(76\) −1.09001 + 4.22041i −0.125033 + 0.484115i
\(77\) −3.99436 + 3.99436i −0.455200 + 0.455200i
\(78\) −2.54245 4.33060i −0.287876 0.490344i
\(79\) 7.19735 + 8.57747i 0.809765 + 0.965040i 0.999860 0.0167253i \(-0.00532409\pi\)
−0.190095 + 0.981766i \(0.560880\pi\)
\(80\) −0.846732 + 2.06955i −0.0946676 + 0.231383i
\(81\) −4.27137 + 7.92183i −0.474597 + 0.880203i
\(82\) −0.439185 5.01990i −0.0484998 0.554356i
\(83\) 6.93717 1.85881i 0.761454 0.204031i 0.142861 0.989743i \(-0.454370\pi\)
0.618593 + 0.785712i \(0.287703\pi\)
\(84\) −0.355155 3.74547i −0.0387505 0.408664i
\(85\) 5.20059 + 0.661722i 0.564083 + 0.0717739i
\(86\) 7.68159 + 1.35447i 0.828327 + 0.146056i
\(87\) −6.26990 + 7.58351i −0.672203 + 0.813038i
\(88\) 0.673084 + 2.51198i 0.0717510 + 0.267778i
\(89\) 0.349266 + 0.293069i 0.0370221 + 0.0310652i 0.661111 0.750288i \(-0.270085\pi\)
−0.624089 + 0.781353i \(0.714530\pi\)
\(90\) 2.68370 + 6.14799i 0.282887 + 0.648055i
\(91\) 5.91796 2.15396i 0.620370 0.225796i
\(92\) 0.551850 6.30767i 0.0575343 0.657621i
\(93\) 13.3107 7.81457i 1.38026 0.810333i
\(94\) 3.24499i 0.334695i
\(95\) 9.67958 + 1.14269i 0.993104 + 0.117238i
\(96\) −1.57505 0.720560i −0.160753 0.0735418i
\(97\) −1.74306 + 2.48935i −0.176981 + 0.252755i −0.897835 0.440331i \(-0.854861\pi\)
0.720854 + 0.693087i \(0.243750\pi\)
\(98\) −2.27309 0.198869i −0.229617 0.0200888i
\(99\) 6.81258 + 3.80220i 0.684690 + 0.382136i
\(100\) 4.84068 + 1.25213i 0.484068 + 0.125213i
\(101\) −1.75004 + 2.08562i −0.174136 + 0.207527i −0.846052 0.533100i \(-0.821027\pi\)
0.671917 + 0.740627i \(0.265471\pi\)
\(102\) −0.676052 + 4.00417i −0.0669391 + 0.396472i
\(103\) 0.0720466 + 0.0193048i 0.00709897 + 0.00190216i 0.262367 0.964968i \(-0.415497\pi\)
−0.255268 + 0.966870i \(0.582164\pi\)
\(104\) 0.503462 2.85527i 0.0493685 0.279983i
\(105\) −8.19158 + 1.91610i −0.799417 + 0.186992i
\(106\) −4.03233 6.98420i −0.391655 0.678366i
\(107\) −3.00016 11.1967i −0.290036 1.08243i −0.945080 0.326839i \(-0.894016\pi\)
0.655044 0.755591i \(-0.272650\pi\)
\(108\) −4.84285 + 1.88330i −0.466003 + 0.181221i
\(109\) 6.96202 19.1280i 0.666841 1.83213i 0.124022 0.992279i \(-0.460421\pi\)
0.542819 0.839850i \(-0.317357\pi\)
\(110\) 5.36275 2.24864i 0.511318 0.214400i
\(111\) −5.55724 20.1525i −0.527470 1.91279i
\(112\) 1.24589 1.77932i 0.117726 0.168130i
\(113\) −2.83693 2.83693i −0.266876 0.266876i 0.560964 0.827840i \(-0.310430\pi\)
−0.827840 + 0.560964i \(0.810430\pi\)
\(114\) −1.18947 + 7.45555i −0.111404 + 0.698276i
\(115\) −14.1420 + 0.678956i −1.31875 + 0.0633130i
\(116\) −5.59469 + 0.986495i −0.519454 + 0.0915938i
\(117\) −5.09206 7.05163i −0.470761 0.651924i
\(118\) 0.736927 1.58034i 0.0678396 0.145482i
\(119\) −4.78553 1.74179i −0.438689 0.159670i
\(120\) −1.12166 + 3.70701i −0.102393 + 0.338402i
\(121\) −2.11845 + 3.66926i −0.192586 + 0.333569i
\(122\) −6.87603 1.84243i −0.622527 0.166806i
\(123\) −1.57807 8.58409i −0.142289 0.774002i
\(124\) 8.77608 + 1.54746i 0.788115 + 0.138966i
\(125\) 1.31489 11.1028i 0.117607 0.993060i
\(126\) −1.22480 6.40031i −0.109114 0.570185i
\(127\) 0.310136 + 3.54487i 0.0275201 + 0.314556i 0.997461 + 0.0712153i \(0.0226877\pi\)
−0.969941 + 0.243341i \(0.921757\pi\)
\(128\) −0.422618 0.906308i −0.0373545 0.0801070i
\(129\) 13.4669 + 1.07957i 1.18570 + 0.0950506i
\(130\) −6.47807 0.254676i −0.568165 0.0223366i
\(131\) 9.36795 1.65182i 0.818482 0.144320i 0.251296 0.967910i \(-0.419143\pi\)
0.567186 + 0.823590i \(0.308032\pi\)
\(132\) 1.57133 + 4.22140i 0.136767 + 0.367426i
\(133\) −8.92612 3.15764i −0.773993 0.273802i
\(134\) −1.84484 −0.159370
\(135\) 5.63277 + 10.1623i 0.484792 + 0.874630i
\(136\) −1.79601 + 1.50703i −0.154007 + 0.129227i
\(137\) −0.542028 + 1.16238i −0.0463086 + 0.0993090i −0.928101 0.372329i \(-0.878559\pi\)
0.881792 + 0.471638i \(0.156337\pi\)
\(138\) −0.0797648 10.9667i −0.00679003 0.933544i
\(139\) −6.74939 + 8.04362i −0.572476 + 0.682251i −0.972137 0.234412i \(-0.924683\pi\)
0.399661 + 0.916663i \(0.369128\pi\)
\(140\) −4.31797 2.22403i −0.364935 0.187965i
\(141\) 0.530568 + 5.59539i 0.0446819 + 0.471217i
\(142\) −11.0533 + 7.73964i −0.927576 + 0.649496i
\(143\) −6.17638 + 4.32475i −0.516495 + 0.361653i
\(144\) −2.83370 0.984946i −0.236142 0.0820788i
\(145\) 3.87244 + 12.0985i 0.321588 + 1.00472i
\(146\) 9.25718 11.0323i 0.766130 0.913038i
\(147\) −3.95204 + 0.0287447i −0.325959 + 0.00237083i
\(148\) 5.10071 10.9385i 0.419276 0.899139i
\(149\) 8.91219 7.47821i 0.730115 0.612639i −0.200048 0.979786i \(-0.564110\pi\)
0.930163 + 0.367147i \(0.119665\pi\)
\(150\) 8.55159 + 1.36759i 0.698234 + 0.111663i
\(151\) 8.65440 0.704285 0.352143 0.935946i \(-0.385453\pi\)
0.352143 + 0.935946i \(0.385453\pi\)
\(152\) −3.31361 + 2.83196i −0.268769 + 0.229702i
\(153\) −0.511031 + 7.01499i −0.0413144 + 0.567128i
\(154\) −5.56306 + 0.980918i −0.448284 + 0.0790446i
\(155\) 0.782782 19.9113i 0.0628746 1.59931i
\(156\) 0.401279 5.00571i 0.0321281 0.400778i
\(157\) 4.23003 + 9.07132i 0.337593 + 0.723970i 0.999676 0.0254602i \(-0.00810512\pi\)
−0.662083 + 0.749431i \(0.730327\pi\)
\(158\) 0.975890 + 11.1545i 0.0776377 + 0.887403i
\(159\) −8.09496 11.3837i −0.641972 0.902784i
\(160\) −1.88065 + 1.20961i −0.148678 + 0.0956282i
\(161\) 13.5446 + 2.38828i 1.06746 + 0.188223i
\(162\) −8.04268 + 4.03923i −0.631892 + 0.317352i
\(163\) −1.44712 0.387755i −0.113347 0.0303714i 0.201699 0.979447i \(-0.435354\pi\)
−0.315047 + 0.949076i \(0.602020\pi\)
\(164\) 2.51954 4.36397i 0.196743 0.340769i
\(165\) 8.87942 4.75420i 0.691262 0.370114i
\(166\) 6.74877 + 2.45635i 0.523806 + 0.190650i
\(167\) −7.77903 + 16.6822i −0.601960 + 1.29091i 0.335247 + 0.942130i \(0.391180\pi\)
−0.937206 + 0.348776i \(0.886597\pi\)
\(168\) 1.85739 3.27182i 0.143301 0.252426i
\(169\) −4.52414 + 0.797729i −0.348011 + 0.0613638i
\(170\) 3.88053 + 3.52499i 0.297623 + 0.270354i
\(171\) −0.832005 + 13.0502i −0.0636250 + 0.997974i
\(172\) 5.51550 + 5.51550i 0.420553 + 0.420553i
\(173\) −6.94584 + 9.91968i −0.528082 + 0.754179i −0.991237 0.132098i \(-0.957829\pi\)
0.463154 + 0.886278i \(0.346718\pi\)
\(174\) −9.48572 + 2.61578i −0.719111 + 0.198302i
\(175\) −3.62587 + 10.2376i −0.274090 + 0.773891i
\(176\) −0.889456 + 2.44376i −0.0670453 + 0.184205i
\(177\) 1.01230 2.84550i 0.0760893 0.213881i
\(178\) 0.118004 + 0.440398i 0.00884480 + 0.0330093i
\(179\) 6.75938 + 11.7076i 0.505220 + 0.875066i 0.999982 + 0.00603755i \(0.00192183\pi\)
−0.494762 + 0.869028i \(0.664745\pi\)
\(180\) −1.32798 + 6.57544i −0.0989817 + 0.490105i
\(181\) 2.66125 15.0927i 0.197809 1.12183i −0.710553 0.703644i \(-0.751555\pi\)
0.908362 0.418186i \(-0.137334\pi\)
\(182\) 6.08317 + 1.62998i 0.450914 + 0.120822i
\(183\) −12.1577 2.05267i −0.898723 0.151738i
\(184\) 4.06998 4.85042i 0.300043 0.357577i
\(185\) −25.7737 8.00360i −1.89492 0.588437i
\(186\) 15.3857 + 1.23339i 1.12814 + 0.0904363i
\(187\) 6.07396 + 0.531403i 0.444172 + 0.0388600i
\(188\) −1.86125 + 2.65814i −0.135746 + 0.193865i
\(189\) −3.15841 10.8359i −0.229741 0.788195i
\(190\) 7.27363 + 6.48802i 0.527684 + 0.470690i
\(191\) 1.19747i 0.0866457i −0.999061 0.0433229i \(-0.986206\pi\)
0.999061 0.0433229i \(-0.0137944\pi\)
\(192\) −0.876912 1.49366i −0.0632857 0.107796i
\(193\) 0.572119 6.53935i 0.0411821 0.470713i −0.947402 0.320045i \(-0.896302\pi\)
0.988584 0.150668i \(-0.0481425\pi\)
\(194\) −2.85567 + 1.03938i −0.205025 + 0.0746230i
\(195\) −11.2119 + 0.620048i −0.802900 + 0.0444025i
\(196\) −1.74794 1.46669i −0.124853 0.104764i
\(197\) 5.46802 + 20.4069i 0.389580 + 1.45393i 0.830818 + 0.556544i \(0.187873\pi\)
−0.441238 + 0.897390i \(0.645461\pi\)
\(198\) 3.39968 + 7.02211i 0.241605 + 0.499040i
\(199\) −5.51687 0.972773i −0.391080 0.0689580i −0.0253495 0.999679i \(-0.508070\pi\)
−0.365731 + 0.930721i \(0.619181\pi\)
\(200\) 3.24706 + 3.80218i 0.229602 + 0.268855i
\(201\) −3.18108 + 0.301638i −0.224376 + 0.0212759i
\(202\) −2.62981 + 0.704656i −0.185033 + 0.0495794i
\(203\) −1.07550 12.2930i −0.0754853 0.862800i
\(204\) −2.85049 + 2.89225i −0.199574 + 0.202498i
\(205\) −10.4286 4.26675i −0.728367 0.298003i
\(206\) 0.0479444 + 0.0571379i 0.00334044 + 0.00398098i
\(207\) −1.93063 18.8969i −0.134188 1.31343i
\(208\) 2.05013 2.05013i 0.142151 0.142151i
\(209\) 11.3011 + 0.885716i 0.781712 + 0.0612662i
\(210\) −7.80918 3.12892i −0.538885 0.215916i
\(211\) −2.27631 12.9096i −0.156707 0.888732i −0.957208 0.289400i \(-0.906544\pi\)
0.800501 0.599332i \(-0.204567\pi\)
\(212\) 0.702882 8.03397i 0.0482741 0.551776i
\(213\) −17.7940 + 15.1528i −1.21923 + 1.03826i
\(214\) 3.96460 10.8927i 0.271015 0.744607i
\(215\) 10.5576 13.8832i 0.720021 0.946829i
\(216\) −5.04725 1.23504i −0.343422 0.0840336i
\(217\) −5.00997 + 18.6974i −0.340099 + 1.26927i
\(218\) 16.6743 11.6755i 1.12933 0.790764i
\(219\) 14.1585 20.5367i 0.956742 1.38774i
\(220\) 5.68268 + 1.23397i 0.383126 + 0.0831942i
\(221\) −5.88684 3.39877i −0.395991 0.228626i
\(222\) 7.00675 19.6954i 0.470262 1.32187i
\(223\) 6.33554 2.95431i 0.424259 0.197835i −0.198749 0.980050i \(-0.563688\pi\)
0.623008 + 0.782215i \(0.285910\pi\)
\(224\) 2.04115 0.742919i 0.136380 0.0496383i
\(225\) 14.9693 + 0.959945i 0.997950 + 0.0639963i
\(226\) −0.696680 3.95107i −0.0463425 0.262821i
\(227\) −1.54386 + 1.54386i −0.102470 + 0.102470i −0.756483 0.654013i \(-0.773084\pi\)
0.654013 + 0.756483i \(0.273084\pi\)
\(228\) −5.25068 + 5.42498i −0.347735 + 0.359278i
\(229\) 13.7017i 0.905435i 0.891654 + 0.452718i \(0.149545\pi\)
−0.891654 + 0.452718i \(0.850455\pi\)
\(230\) −11.9739 7.55534i −0.789533 0.498184i
\(231\) −9.43210 + 2.60099i −0.620586 + 0.171133i
\(232\) −5.14873 2.40089i −0.338031 0.157626i
\(233\) 9.31497 + 19.9760i 0.610244 + 1.30867i 0.932209 + 0.361920i \(0.117879\pi\)
−0.321965 + 0.946752i \(0.604343\pi\)
\(234\) −0.126521 8.69704i −0.00827092 0.568543i
\(235\) 6.45065 + 3.32249i 0.420794 + 0.216736i
\(236\) 1.51010 0.871859i 0.0982993 0.0567532i
\(237\) 3.50654 + 19.0743i 0.227774 + 1.23901i
\(238\) −2.92103 4.17166i −0.189342 0.270409i
\(239\) 10.8475 + 18.7884i 0.701667 + 1.21532i 0.967881 + 0.251409i \(0.0808939\pi\)
−0.266214 + 0.963914i \(0.585773\pi\)
\(240\) −3.04506 + 2.39325i −0.196558 + 0.154483i
\(241\) −15.8632 13.3108i −1.02184 0.857422i −0.0319788 0.999489i \(-0.510181\pi\)
−0.989857 + 0.142066i \(0.954625\pi\)
\(242\) −3.83993 + 1.79059i −0.246840 + 0.115104i
\(243\) −13.2077 + 8.27991i −0.847274 + 0.531157i
\(244\) −4.57574 5.45316i −0.292932 0.349103i
\(245\) −2.72271 + 4.31500i −0.173947 + 0.275675i
\(246\) 3.63096 7.93682i 0.231501 0.506033i
\(247\) −11.0014 6.21960i −0.700005 0.395743i
\(248\) 6.30136 + 6.30136i 0.400136 + 0.400136i
\(249\) 12.0386 + 3.13208i 0.762918 + 0.198487i
\(250\) 7.44537 8.34065i 0.470886 0.527509i
\(251\) −0.782708 2.15047i −0.0494041 0.135737i 0.912537 0.408995i \(-0.134121\pi\)
−0.961941 + 0.273259i \(0.911899\pi\)
\(252\) 2.66777 5.94534i 0.168054 0.374521i
\(253\) −16.4037 + 1.43514i −1.03129 + 0.0902264i
\(254\) −1.77920 + 3.08167i −0.111637 + 0.193361i
\(255\) 7.26760 + 5.44371i 0.455115 + 0.340898i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 3.28170 + 4.68676i 0.204707 + 0.292352i 0.908358 0.418194i \(-0.137337\pi\)
−0.703651 + 0.710546i \(0.748448\pi\)
\(258\) 10.4123 + 8.60865i 0.648239 + 0.535951i
\(259\) 22.7040 + 13.1082i 1.41076 + 0.814501i
\(260\) −5.16045 3.92429i −0.320038 0.243374i
\(261\) −15.9287 + 6.06139i −0.985961 + 0.375190i
\(262\) 8.62122 + 4.02014i 0.532621 + 0.248365i
\(263\) −9.02087 0.789224i −0.556250 0.0486656i −0.194435 0.980915i \(-0.562287\pi\)
−0.361815 + 0.932250i \(0.617843\pi\)
\(264\) −1.13414 + 4.35925i −0.0698015 + 0.268293i
\(265\) −18.0124 + 0.864774i −1.10649 + 0.0531227i
\(266\) −5.50070 7.70640i −0.337270 0.472510i
\(267\) 0.275484 + 0.740092i 0.0168593 + 0.0452929i
\(268\) −1.51120 1.05816i −0.0923114 0.0646371i
\(269\) −4.39791 + 3.69028i −0.268145 + 0.225001i −0.766939 0.641720i \(-0.778221\pi\)
0.498794 + 0.866721i \(0.333777\pi\)
\(270\) −1.21474 + 11.5553i −0.0739270 + 0.703232i
\(271\) 24.1237 + 8.78030i 1.46541 + 0.533365i 0.946850 0.321676i \(-0.104246\pi\)
0.518560 + 0.855041i \(0.326468\pi\)
\(272\) −2.33560 + 0.204339i −0.141617 + 0.0123899i
\(273\) 10.7558 + 1.81598i 0.650971 + 0.109908i
\(274\) −1.11072 + 0.641274i −0.0671010 + 0.0387408i
\(275\) 1.02081 12.9629i 0.0615571 0.781689i
\(276\) 6.22488 9.02911i 0.374693 0.543489i
\(277\) 2.21816 8.27827i 0.133276 0.497393i −0.866723 0.498790i \(-0.833778\pi\)
0.999999 + 0.00139686i \(0.000444636\pi\)
\(278\) −10.1424 + 2.71765i −0.608301 + 0.162994i
\(279\) 26.7316 0.388879i 1.60038 0.0232816i
\(280\) −2.26142 4.29850i −0.135146 0.256885i
\(281\) 3.98212 + 10.9408i 0.237553 + 0.652672i 0.999984 + 0.00560262i \(0.00178338\pi\)
−0.762431 + 0.647069i \(0.775994\pi\)
\(282\) −2.77477 + 4.88780i −0.165235 + 0.291064i
\(283\) 8.51244 + 5.96047i 0.506012 + 0.354313i 0.798538 0.601944i \(-0.205607\pi\)
−0.292526 + 0.956257i \(0.594496\pi\)
\(284\) −13.4936 −0.800701
\(285\) 13.6028 + 9.99813i 0.805763 + 0.592238i
\(286\) −7.53996 −0.445847
\(287\) 8.96613 + 6.27815i 0.529254 + 0.370588i
\(288\) −1.75629 2.43217i −0.103491 0.143317i
\(289\) −3.93433 10.8095i −0.231431 0.635851i
\(290\) −3.76728 + 12.1316i −0.221222 + 0.712393i
\(291\) −4.75413 + 2.25913i −0.278692 + 0.132432i
\(292\) 13.9109 3.72741i 0.814073 0.218130i
\(293\) −5.89850 + 22.0135i −0.344594 + 1.28604i 0.548491 + 0.836156i \(0.315202\pi\)
−0.893086 + 0.449887i \(0.851464\pi\)
\(294\) −3.25381 2.24325i −0.189766 0.130829i
\(295\) −2.38701 3.08301i −0.138977 0.179500i
\(296\) 10.4523 6.03465i 0.607529 0.350757i
\(297\) 7.01027 + 11.5525i 0.406777 + 0.670343i
\(298\) 11.5898 1.01397i 0.671377 0.0587379i
\(299\) 17.2507 + 6.27875i 0.997635 + 0.363109i
\(300\) 6.22063 + 6.02526i 0.359148 + 0.347868i
\(301\) −12.9791 + 10.8907i −0.748100 + 0.627731i
\(302\) 7.08927 + 4.96396i 0.407942 + 0.285644i
\(303\) −4.41941 + 1.64503i −0.253889 + 0.0945047i
\(304\) −4.33870 + 0.419193i −0.248841 + 0.0240424i
\(305\) −10.7028 + 11.7823i −0.612839 + 0.674652i
\(306\) −4.44224 + 5.45323i −0.253946 + 0.311740i
\(307\) −8.32684 0.728504i −0.475238 0.0415779i −0.152979 0.988229i \(-0.548887\pi\)
−0.322259 + 0.946652i \(0.604442\pi\)
\(308\) −5.11963 2.38732i −0.291718 0.136030i
\(309\) 0.0920135 + 0.0906846i 0.00523446 + 0.00515887i
\(310\) 12.0618 15.8614i 0.685067 0.900865i
\(311\) 23.7604 + 13.7181i 1.34733 + 0.777879i 0.987870 0.155282i \(-0.0496287\pi\)
0.359457 + 0.933162i \(0.382962\pi\)
\(312\) 3.19987 3.87028i 0.181157 0.219111i
\(313\) 8.25681 + 11.7919i 0.466702 + 0.666520i 0.981648 0.190703i \(-0.0610768\pi\)
−0.514946 + 0.857223i \(0.672188\pi\)
\(314\) −1.73806 + 9.85704i −0.0980845 + 0.556265i
\(315\) −13.9771 4.11842i −0.787520 0.232047i
\(316\) −5.59854 + 9.69696i −0.314943 + 0.545497i
\(317\) −27.7630 + 2.42894i −1.55932 + 0.136423i −0.833914 0.551894i \(-0.813905\pi\)
−0.725409 + 0.688318i \(0.758350\pi\)
\(318\) −0.101595 13.9680i −0.00569717 0.783288i
\(319\) 5.05300 + 13.8830i 0.282914 + 0.777299i
\(320\) −2.23434 0.0878399i −0.124904 0.00491040i
\(321\) 5.05524 19.4306i 0.282156 1.08451i
\(322\) 9.72522 + 9.72522i 0.541966 + 0.541966i
\(323\) 3.58208 + 9.57121i 0.199312 + 0.532556i
\(324\) −8.90498 1.30435i −0.494721 0.0724638i
\(325\) −7.13906 + 12.6169i −0.396004 + 0.699858i
\(326\) −0.963006 1.14767i −0.0533360 0.0635634i
\(327\) 26.8428 22.8585i 1.48441 1.26408i
\(328\) 4.56696 2.12961i 0.252168 0.117588i
\(329\) −5.39954 4.53075i −0.297686 0.249788i
\(330\) 10.0005 + 1.19861i 0.550509 + 0.0659816i
\(331\) 12.1854 + 21.1057i 0.669769 + 1.16007i 0.977969 + 0.208752i \(0.0669401\pi\)
−0.308200 + 0.951322i \(0.599727\pi\)
\(332\) 4.11936 + 5.88306i 0.226079 + 0.322875i
\(333\) 8.86157 35.1068i 0.485611 1.92384i
\(334\) −15.9407 + 9.20338i −0.872237 + 0.503586i
\(335\) −1.88890 + 3.66731i −0.103202 + 0.200367i
\(336\) 3.39812 1.61476i 0.185383 0.0880925i
\(337\) 7.09199 + 15.2088i 0.386325 + 0.828477i 0.999264 + 0.0383470i \(0.0122092\pi\)
−0.612939 + 0.790130i \(0.710013\pi\)
\(338\) −4.16352 1.94148i −0.226466 0.105603i
\(339\) −1.84731 6.69898i −0.100332 0.363839i
\(340\) 1.15689 + 5.11328i 0.0627412 + 0.277306i
\(341\) 23.1751i 1.25500i
\(342\) −8.16683 + 10.2129i −0.441611 + 0.552249i
\(343\) 14.2563 14.2563i 0.769765 0.769765i
\(344\) 1.35447 + 7.68159i 0.0730282 + 0.414163i
\(345\) −21.8821 11.0700i −1.17809 0.595990i
\(346\) −11.3794 + 4.14176i −0.611760 + 0.222662i
\(347\) −7.41555 + 3.45793i −0.398087 + 0.185631i −0.611344 0.791365i \(-0.709371\pi\)
0.213256 + 0.976996i \(0.431593\pi\)
\(348\) −9.27060 3.29806i −0.496956 0.176795i
\(349\) −1.24138 0.716712i −0.0664496 0.0383647i 0.466407 0.884570i \(-0.345548\pi\)
−0.532857 + 0.846205i \(0.678882\pi\)
\(350\) −8.84219 + 6.30645i −0.472635 + 0.337094i
\(351\) −1.64016 14.9758i −0.0875453 0.799347i
\(352\) −2.13028 + 1.49164i −0.113545 + 0.0795047i
\(353\) −1.91569 + 7.14944i −0.101962 + 0.380526i −0.997983 0.0634854i \(-0.979778\pi\)
0.896021 + 0.444011i \(0.146445\pi\)
\(354\) 2.46134 1.75027i 0.130819 0.0930257i
\(355\) 4.06812 + 29.8972i 0.215913 + 1.58678i
\(356\) −0.155939 + 0.428438i −0.00826473 + 0.0227072i
\(357\) −5.71886 6.71566i −0.302674 0.355431i
\(358\) −1.17824 + 13.4673i −0.0622718 + 0.711770i
\(359\) 0.704206 + 3.99375i 0.0371666 + 0.210782i 0.997735 0.0672599i \(-0.0214257\pi\)
−0.960569 + 0.278042i \(0.910315\pi\)
\(360\) −4.85934 + 4.62459i −0.256110 + 0.243737i
\(361\) 6.82053 + 17.7336i 0.358975 + 0.933347i
\(362\) 10.8368 10.8368i 0.569568 0.569568i
\(363\) −6.32849 + 3.71539i −0.332160 + 0.195007i
\(364\) 4.04812 + 4.82436i 0.212179 + 0.252865i
\(365\) −12.4526 29.6979i −0.651797 1.55446i
\(366\) −8.78164 8.65482i −0.459024 0.452395i
\(367\) −0.0269063 0.307540i −0.00140450 0.0160535i 0.995460 0.0951797i \(-0.0303426\pi\)
−0.996865 + 0.0791262i \(0.974787\pi\)
\(368\) 6.11602 1.63878i 0.318820 0.0854274i
\(369\) 4.96322 14.2793i 0.258375 0.743349i
\(370\) −16.5219 21.3393i −0.858932 1.10938i
\(371\) 17.2515 + 3.04191i 0.895654 + 0.157928i
\(372\) 11.8958 + 9.83523i 0.616770 + 0.509933i
\(373\) 6.84410 + 25.5425i 0.354374 + 1.32254i 0.881270 + 0.472612i \(0.156689\pi\)
−0.526896 + 0.849930i \(0.676644\pi\)
\(374\) 4.67070 + 3.91918i 0.241516 + 0.202656i
\(375\) 11.4744 15.5993i 0.592538 0.805543i
\(376\) −3.04929 + 1.10985i −0.157255 + 0.0572362i
\(377\) 1.43555 16.4084i 0.0739344 0.845074i
\(378\) 3.62799 10.6878i 0.186604 0.549723i
\(379\) 26.2505i 1.34840i −0.738549 0.674200i \(-0.764489\pi\)
0.738549 0.674200i \(-0.235511\pi\)
\(380\) 2.23683 + 9.48665i 0.114747 + 0.486655i
\(381\) −2.56404 + 5.60468i −0.131360 + 0.287137i
\(382\) 0.686839 0.980908i 0.0351418 0.0501876i
\(383\) −19.0517 1.66681i −0.973497 0.0851699i −0.410705 0.911768i \(-0.634717\pi\)
−0.562792 + 0.826598i \(0.690273\pi\)
\(384\) 0.138405 1.72651i 0.00706293 0.0881057i
\(385\) −3.74598 + 12.0630i −0.190913 + 0.614789i
\(386\) 4.21947 5.02857i 0.214766 0.255948i
\(387\) 19.3616 + 13.1416i 0.984204 + 0.668025i
\(388\) −2.93539 0.786535i −0.149022 0.0399303i
\(389\) −6.21080 + 35.2232i −0.314900 + 1.78589i 0.257880 + 0.966177i \(0.416976\pi\)
−0.572780 + 0.819709i \(0.694135\pi\)
\(390\) −9.53989 5.92296i −0.483071 0.299921i
\(391\) −7.42250 12.8561i −0.375372 0.650163i
\(392\) −0.590566 2.20402i −0.0298281 0.111320i
\(393\) 15.5230 + 5.52239i 0.783033 + 0.278568i
\(394\) −7.22580 + 19.8527i −0.364030 + 1.00017i
\(395\) 23.1729 + 9.48094i 1.16596 + 0.477038i
\(396\) −1.24286 + 7.70216i −0.0624562 + 0.387048i
\(397\) −6.03261 + 8.61546i −0.302768 + 0.432397i −0.941490 0.337040i \(-0.890574\pi\)
0.638722 + 0.769437i \(0.279463\pi\)
\(398\) −3.96119 3.96119i −0.198557 0.198557i
\(399\) −10.7450 12.3889i −0.537922 0.620220i
\(400\) 0.478996 + 4.97700i 0.0239498 + 0.248850i
\(401\) −22.0628 + 3.89027i −1.10176 + 0.194271i −0.694821 0.719182i \(-0.744517\pi\)
−0.406943 + 0.913453i \(0.633405\pi\)
\(402\) −2.77880 1.57751i −0.138594 0.0786789i
\(403\) −10.9193 + 23.4164i −0.543928 + 1.16646i
\(404\) −2.55839 0.931178i −0.127285 0.0463278i
\(405\) −0.205272 + 20.1236i −0.0102001 + 0.999948i
\(406\) 6.16999 10.6867i 0.306211 0.530373i
\(407\) −30.3179 8.12365i −1.50280 0.402675i
\(408\) −3.99391 + 0.734225i −0.197728 + 0.0363496i
\(409\) −4.54384 0.801202i −0.224678 0.0396169i 0.0601755 0.998188i \(-0.480834\pi\)
−0.284854 + 0.958571i \(0.591945\pi\)
\(410\) −6.09533 9.47674i −0.301027 0.468023i
\(411\) −1.81038 + 1.28737i −0.0892994 + 0.0635010i
\(412\) 0.00650079 + 0.0743043i 0.000320271 + 0.00366071i
\(413\) 1.60071 + 3.43274i 0.0787660 + 0.168914i
\(414\) 9.25736 16.5868i 0.454974 0.815198i
\(415\) 11.7929 10.9007i 0.578890 0.535095i
\(416\) 2.85527 0.503462i 0.139991 0.0246842i
\(417\) −17.0444 + 6.34441i −0.834667 + 0.310687i
\(418\) 8.74928 + 7.20757i 0.427941 + 0.352534i
\(419\) 2.80237 0.136905 0.0684523 0.997654i \(-0.478194\pi\)
0.0684523 + 0.997654i \(0.478194\pi\)
\(420\) −4.60223 7.04222i −0.224566 0.343625i
\(421\) 2.54127 2.13238i 0.123854 0.103926i −0.578757 0.815500i \(-0.696462\pi\)
0.702611 + 0.711574i \(0.252018\pi\)
\(422\) 5.53999 11.8805i 0.269682 0.578336i
\(423\) −3.98540 + 8.88179i −0.193777 + 0.431847i
\(424\) 5.18386 6.17789i 0.251751 0.300025i
\(425\) 10.9805 4.10484i 0.532630 0.199114i
\(426\) −23.2673 + 2.20626i −1.12730 + 0.106894i
\(427\) 12.6663 8.86901i 0.612963 0.429201i
\(428\) 9.49539 6.64874i 0.458977 0.321379i
\(429\) −13.0013 + 1.23281i −0.627708 + 0.0595208i
\(430\) 16.6114 5.31691i 0.801071 0.256404i
\(431\) 23.9311 28.5199i 1.15272 1.37376i 0.237210 0.971458i \(-0.423767\pi\)
0.915509 0.402298i \(-0.131788\pi\)
\(432\) −3.42607 3.90666i −0.164837 0.187959i
\(433\) 15.4653 33.1655i 0.743215 1.59383i −0.0600405 0.998196i \(-0.519123\pi\)
0.803256 0.595634i \(-0.203099\pi\)
\(434\) −14.8283 + 12.4425i −0.711783 + 0.597257i
\(435\) −4.51242 + 21.5347i −0.216354 + 1.03251i
\(436\) 20.3556 0.974856
\(437\) −14.0156 23.7760i −0.670455 1.13736i
\(438\) 23.3773 8.70172i 1.11701 0.415784i
\(439\) −35.6338 + 6.28320i −1.70071 + 0.299881i −0.937942 0.346793i \(-0.887271\pi\)
−0.762766 + 0.646674i \(0.776159\pi\)
\(440\) 3.94720 + 4.27026i 0.188175 + 0.203577i
\(441\) −5.97737 3.33606i −0.284637 0.158860i
\(442\) −2.87276 6.16066i −0.136643 0.293033i
\(443\) −0.559720 6.39763i −0.0265931 0.303961i −0.997830 0.0658447i \(-0.979026\pi\)
0.971237 0.238116i \(-0.0765298\pi\)
\(444\) 17.0364 12.1146i 0.808513 0.574935i
\(445\) 0.996282 + 0.216338i 0.0472283 + 0.0102554i
\(446\) 6.88429 + 1.21389i 0.325981 + 0.0574792i
\(447\) 19.8186 3.64338i 0.937389 0.172326i
\(448\) 2.09813 + 0.562193i 0.0991275 + 0.0265611i
\(449\) 2.20685 3.82237i 0.104148 0.180389i −0.809242 0.587475i \(-0.800122\pi\)
0.913390 + 0.407087i \(0.133455\pi\)
\(450\) 11.7115 + 9.37235i 0.552085 + 0.441817i
\(451\) −12.3143 4.48204i −0.579858 0.211051i
\(452\) 1.69555 3.63613i 0.0797521 0.171029i
\(453\) 13.0358 + 7.40032i 0.612474 + 0.347697i
\(454\) −2.15018 + 0.379135i −0.100913 + 0.0177937i
\(455\) 9.46866 10.4237i 0.443897 0.488670i
\(456\) −7.41274 + 1.43221i −0.347134 + 0.0670696i
\(457\) −3.51929 3.51929i −0.164625 0.164625i 0.619987 0.784612i \(-0.287138\pi\)
−0.784612 + 0.619987i \(0.787138\pi\)
\(458\) −7.85899 + 11.2238i −0.367226 + 0.524454i
\(459\) −6.76821 + 10.1294i −0.315913 + 0.472800i
\(460\) −5.47485 13.0569i −0.255266 0.608781i
\(461\) 13.6328 37.4557i 0.634941 1.74449i −0.0321222 0.999484i \(-0.510227\pi\)
0.667063 0.745001i \(-0.267551\pi\)
\(462\) −9.21819 3.27942i −0.428869 0.152572i
\(463\) −7.49172 27.9595i −0.348170 1.29939i −0.888865 0.458169i \(-0.848505\pi\)
0.540695 0.841219i \(-0.318161\pi\)
\(464\) −2.84050 4.91989i −0.131867 0.228400i
\(465\) 18.2050 29.3222i 0.844239 1.35978i
\(466\) −3.82739 + 21.7062i −0.177301 + 1.00552i
\(467\) −27.9290 7.48354i −1.29240 0.346297i −0.453827 0.891090i \(-0.649942\pi\)
−0.838571 + 0.544792i \(0.816608\pi\)
\(468\) 4.88478 7.19677i 0.225799 0.332671i
\(469\) 2.57582 3.06974i 0.118940 0.141747i
\(470\) 3.37836 + 6.42157i 0.155832 + 0.296205i
\(471\) −1.38530 + 17.2808i −0.0638315 + 0.796259i
\(472\) 1.73708 + 0.151975i 0.0799557 + 0.00699521i
\(473\) 11.6349 16.6164i 0.534975 0.764023i
\(474\) −8.06817 + 17.6360i −0.370583 + 0.810049i
\(475\) 20.3447 7.81611i 0.933481 0.358628i
\(476\) 5.09266i 0.233422i
\(477\) −2.45901 24.0687i −0.112590 1.10203i
\(478\) −1.89085 + 21.6125i −0.0864853 + 0.988531i
\(479\) −25.9950 + 9.46142i −1.18774 + 0.432303i −0.858931 0.512092i \(-0.828871\pi\)
−0.328813 + 0.944395i \(0.606648\pi\)
\(480\) −3.86707 + 0.213860i −0.176507 + 0.00976131i
\(481\) 26.8060 + 22.4929i 1.22225 + 1.02559i
\(482\) −5.35959 20.0023i −0.244123 0.911079i
\(483\) 18.3595 + 15.1792i 0.835385 + 0.690680i
\(484\) −4.17253 0.735730i −0.189660 0.0334423i
\(485\) −0.857714 + 6.74092i −0.0389468 + 0.306090i
\(486\) −15.5683 0.793112i −0.706191 0.0359763i
\(487\) −6.06171 + 1.62423i −0.274682 + 0.0736009i −0.393531 0.919311i \(-0.628746\pi\)
0.118848 + 0.992912i \(0.462080\pi\)
\(488\) −0.620426 7.09151i −0.0280854 0.321017i
\(489\) −1.84818 1.82148i −0.0835774 0.0823704i
\(490\) −4.70529 + 1.97296i −0.212564 + 0.0891294i
\(491\) 8.45195 + 10.0726i 0.381431 + 0.454572i 0.922265 0.386557i \(-0.126336\pi\)
−0.540834 + 0.841129i \(0.681891\pi\)
\(492\) 7.52668 4.41883i 0.339329 0.199216i
\(493\) −9.41813 + 9.41813i −0.424171 + 0.424171i
\(494\) −5.44444 11.4050i −0.244957 0.513134i
\(495\) 17.4400 + 0.431672i 0.783869 + 0.0194022i
\(496\) 1.54746 + 8.77608i 0.0694830 + 0.394058i
\(497\) 2.55455 29.1987i 0.114587 1.30974i
\(498\) 8.06499 + 9.47073i 0.361401 + 0.424393i
\(499\) 6.14121 16.8728i 0.274918 0.755331i −0.723001 0.690847i \(-0.757238\pi\)
0.997919 0.0644840i \(-0.0205401\pi\)
\(500\) 10.8829 2.56177i 0.486698 0.114566i
\(501\) −25.9821 + 18.4759i −1.16079 + 0.825442i
\(502\) 0.592303 2.21051i 0.0264358 0.0986597i
\(503\) 19.1070 13.3789i 0.851941 0.596535i −0.0639544 0.997953i \(-0.520371\pi\)
0.915895 + 0.401417i \(0.131482\pi\)
\(504\) 5.59542 3.33997i 0.249240 0.148774i
\(505\) −1.29185 + 5.94923i −0.0574866 + 0.264737i
\(506\) −14.2603 8.23319i −0.633948 0.366010i
\(507\) −7.49667 2.66698i −0.332939 0.118445i
\(508\) −3.22501 + 1.50385i −0.143087 + 0.0667225i
\(509\) −0.963495 + 0.350684i −0.0427062 + 0.0155438i −0.363285 0.931678i \(-0.618345\pi\)
0.320579 + 0.947222i \(0.396123\pi\)
\(510\) 2.83089 + 8.62775i 0.125354 + 0.382043i
\(511\) 5.43214 + 30.8072i 0.240304 + 1.36283i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −12.4123 + 18.9455i −0.548019 + 0.836466i
\(514\) 5.72148i 0.252364i
\(515\) 0.162673 0.0368050i 0.00716821 0.00162182i
\(516\) 3.59151 + 13.0240i 0.158107 + 0.573351i
\(517\) 7.64825 + 3.56644i 0.336370 + 0.156852i
\(518\) 11.0795 + 23.7601i 0.486805 + 1.04396i
\(519\) −18.9445 + 9.00228i −0.831570 + 0.395156i
\(520\) −1.97631 6.17450i −0.0866671 0.270770i
\(521\) −3.60995 + 2.08420i −0.158155 + 0.0913106i −0.576989 0.816752i \(-0.695772\pi\)
0.418834 + 0.908063i \(0.362439\pi\)
\(522\) −16.5247 4.17112i −0.723266 0.182565i
\(523\) 5.57787 + 7.96602i 0.243903 + 0.348330i 0.922374 0.386297i \(-0.126246\pi\)
−0.678471 + 0.734627i \(0.737357\pi\)
\(524\) 4.75623 + 8.23804i 0.207777 + 0.359880i
\(525\) −14.2156 + 12.3200i −0.620420 + 0.537691i
\(526\) −6.93678 5.82065i −0.302458 0.253792i
\(527\) 18.9356 8.82983i 0.824849 0.384633i
\(528\) −3.42939 + 2.92037i −0.149245 + 0.127093i
\(529\) 10.9861 + 13.0927i 0.477655 + 0.569248i
\(530\) −15.2509 9.62310i −0.662457 0.418001i
\(531\) 3.95796 3.42045i 0.171761 0.148435i
\(532\) −0.0857040 9.46779i −0.00371574 0.410481i
\(533\) 10.3308 + 10.3308i 0.447475 + 0.447475i
\(534\) −0.198836 + 0.764259i −0.00860449 + 0.0330727i
\(535\) −17.5940 19.0340i −0.760655 0.822910i
\(536\) −0.630972 1.73358i −0.0272538 0.0748793i
\(537\) 0.170303 + 23.4145i 0.00734913 + 1.01041i
\(538\) −5.71922 + 0.500367i −0.246573 + 0.0215723i
\(539\) −2.96698 + 5.13896i −0.127797 + 0.221351i
\(540\) −7.62289 + 8.76878i −0.328037 + 0.377348i
\(541\) 4.92882 27.9527i 0.211907 1.20178i −0.674288 0.738468i \(-0.735549\pi\)
0.886195 0.463313i \(-0.153339\pi\)
\(542\) 14.7248 + 21.0292i 0.632484 + 0.903281i
\(543\) 16.9142 20.4579i 0.725856 0.877931i
\(544\) −2.03042 1.17226i −0.0870535 0.0502604i
\(545\) −6.13688 45.1009i −0.262875 1.93191i
\(546\) 7.76904 + 7.65684i 0.332484 + 0.327683i
\(547\) 4.37290 + 2.03912i 0.186972 + 0.0871863i 0.513850 0.857880i \(-0.328219\pi\)
−0.326878 + 0.945067i \(0.605997\pi\)
\(548\) −1.27767 0.111781i −0.0545792 0.00477506i
\(549\) −16.5574 13.4878i −0.706654 0.575646i
\(550\) 8.27138 10.0330i 0.352693 0.427810i
\(551\) −17.3508 + 17.6678i −0.739169 + 0.752673i
\(552\) 10.2780 3.82577i 0.437461 0.162836i
\(553\) −19.9232 13.9504i −0.847221 0.593230i
\(554\) 6.56523 5.50888i 0.278930 0.234050i
\(555\) −31.9780 34.0944i −1.35739 1.44723i
\(556\) −9.86696 3.59128i −0.418452 0.152304i
\(557\) 16.2137 1.41851i 0.686995 0.0601043i 0.261687 0.965153i \(-0.415721\pi\)
0.425308 + 0.905049i \(0.360166\pi\)
\(558\) 22.1203 + 15.0140i 0.936425 + 0.635595i
\(559\) −19.5851 + 11.3075i −0.828363 + 0.478255i
\(560\) 0.613070 4.81822i 0.0259069 0.203607i
\(561\) 8.69457 + 5.99423i 0.367085 + 0.253077i
\(562\) −3.01341 + 11.2462i −0.127113 + 0.474393i
\(563\) 16.3792 4.38880i 0.690302 0.184966i 0.103419 0.994638i \(-0.467022\pi\)
0.586882 + 0.809672i \(0.300355\pi\)
\(564\) −5.07648 + 2.41231i −0.213758 + 0.101576i
\(565\) −8.56757 2.66052i −0.360440 0.111929i
\(566\) 3.55419 + 9.76507i 0.149394 + 0.410456i
\(567\) 4.50831 19.0224i 0.189331 0.798866i
\(568\) −11.0533 7.73964i −0.463788 0.324748i
\(569\) 15.5246 0.650824 0.325412 0.945572i \(-0.394497\pi\)
0.325412 + 0.945572i \(0.394497\pi\)
\(570\) 5.40811 + 15.9923i 0.226521 + 0.669842i
\(571\) −34.2466 −1.43318 −0.716588 0.697497i \(-0.754297\pi\)
−0.716588 + 0.697497i \(0.754297\pi\)
\(572\) −6.17638 4.32475i −0.258247 0.180827i
\(573\) 1.02395 1.80370i 0.0427760 0.0753505i
\(574\) 3.74363 + 10.2855i 0.156256 + 0.429310i
\(575\) −27.2789 + 16.0668i −1.13761 + 0.670032i
\(576\) −0.0436381 2.99968i −0.00181825 0.124987i
\(577\) −2.01953 + 0.541132i −0.0840743 + 0.0225276i −0.300611 0.953747i \(-0.597191\pi\)
0.216537 + 0.976274i \(0.430524\pi\)
\(578\) 2.97725 11.1112i 0.123837 0.462166i
\(579\) 6.45351 9.36075i 0.268199 0.389019i
\(580\) −10.0444 + 7.77682i −0.417071 + 0.322915i
\(581\) −13.5101 + 7.80007i −0.560494 + 0.323601i
\(582\) −5.19014 0.876288i −0.215138 0.0363233i
\(583\) −20.8931 + 1.82791i −0.865305 + 0.0757044i
\(584\) 13.5331 + 4.92564i 0.560003 + 0.203825i
\(585\) −17.4182 8.65325i −0.720154 0.357768i
\(586\) −17.4582 + 14.6492i −0.721192 + 0.605152i
\(587\) 9.48906 + 6.64431i 0.391656 + 0.274240i 0.752773 0.658280i \(-0.228716\pi\)
−0.361117 + 0.932520i \(0.617605\pi\)
\(588\) −1.37869 3.70387i −0.0568561 0.152745i
\(589\) 35.0547 16.7342i 1.44440 0.689523i
\(590\) −0.186979 3.89458i −0.00769780 0.160337i
\(591\) −9.21356 + 35.4138i −0.378995 + 1.45673i
\(592\) 12.0234 + 1.05191i 0.494158 + 0.0432332i
\(593\) −29.0922 13.5659i −1.19468 0.557086i −0.279501 0.960145i \(-0.590169\pi\)
−0.915174 + 0.403059i \(0.867947\pi\)
\(594\) −0.883756 + 13.4842i −0.0362609 + 0.553262i
\(595\) −11.2836 + 1.53536i −0.462581 + 0.0629434i
\(596\) 10.0754 + 5.81702i 0.412703 + 0.238274i
\(597\) −7.47802 6.18268i −0.306055 0.253040i
\(598\) 10.5296 + 15.0379i 0.430588 + 0.614944i
\(599\) 8.01234 45.4402i 0.327375 1.85664i −0.165052 0.986285i \(-0.552779\pi\)
0.492428 0.870353i \(-0.336110\pi\)
\(600\) 1.63970 + 8.50361i 0.0669404 + 0.347158i
\(601\) −15.6832 + 27.1642i −0.639733 + 1.10805i 0.345758 + 0.938324i \(0.387622\pi\)
−0.985491 + 0.169726i \(0.945712\pi\)
\(602\) −16.8785 + 1.47668i −0.687915 + 0.0601848i
\(603\) −5.04946 2.26578i −0.205630 0.0922696i
\(604\) 2.95998 + 8.13248i 0.120440 + 0.330906i
\(605\) −0.372169 + 9.46668i −0.0151308 + 0.384875i
\(606\) −4.56372 1.18734i −0.185389 0.0482323i
\(607\) −30.2517 30.2517i −1.22788 1.22788i −0.964765 0.263112i \(-0.915251\pi\)
−0.263112 0.964765i \(-0.584749\pi\)
\(608\) −3.79449 2.14519i −0.153887 0.0869990i
\(609\) 8.89169 19.4361i 0.360309 0.787591i
\(610\) −15.5252 + 3.51262i −0.628599 + 0.142222i
\(611\) −6.04752 7.20715i −0.244656 0.291570i
\(612\) −6.76672 + 1.91906i −0.273528 + 0.0775732i
\(613\) 34.5736 16.1219i 1.39642 0.651159i 0.428756 0.903420i \(-0.358952\pi\)
0.967659 + 0.252261i \(0.0811743\pi\)
\(614\) −6.40309 5.37283i −0.258408 0.216830i
\(615\) −12.0598 15.3443i −0.486296 0.618741i
\(616\) −2.82444 4.89208i −0.113800 0.197107i
\(617\) −8.92594 12.7476i −0.359345 0.513198i 0.598252 0.801308i \(-0.295862\pi\)
−0.957597 + 0.288110i \(0.906973\pi\)
\(618\) 0.0233585 + 0.127061i 0.000939615 + 0.00511115i
\(619\) −15.2646 + 8.81303i −0.613537 + 0.354225i −0.774348 0.632760i \(-0.781922\pi\)
0.160812 + 0.986985i \(0.448589\pi\)
\(620\) 18.9782 6.07448i 0.762182 0.243957i
\(621\) 13.2506 30.1146i 0.531729 1.20846i
\(622\) 11.5950 + 24.8656i 0.464917 + 0.997018i
\(623\) −0.897568 0.418543i −0.0359603 0.0167686i
\(624\) 4.84108 1.33498i 0.193798 0.0534418i
\(625\) −8.95701 23.3403i −0.358281 0.933614i
\(626\) 14.3953i 0.575352i
\(627\) 16.2650 + 10.9976i 0.649561 + 0.439201i
\(628\) −7.07750 + 7.07750i −0.282423 + 0.282423i
\(629\) −4.91369 27.8669i −0.195922 1.11113i
\(630\) −9.08713 11.3905i −0.362040 0.453810i
\(631\) 35.8068 13.0326i 1.42544 0.518819i 0.489822 0.871822i \(-0.337062\pi\)
0.935622 + 0.353003i \(0.114839\pi\)
\(632\) −10.1480 + 4.73209i −0.403666 + 0.188233i
\(633\) 7.61017 21.3916i 0.302477 0.850240i
\(634\) −24.1353 13.9345i −0.958534 0.553410i
\(635\) 4.30429 + 6.69211i 0.170811 + 0.265568i
\(636\) 7.92851 11.5002i 0.314386 0.456013i
\(637\) 5.41917 3.79454i 0.214715 0.150345i
\(638\) −3.82379 + 14.2706i −0.151385 + 0.564977i
\(639\) −39.7595 + 7.60859i −1.57286 + 0.300991i
\(640\) −1.77988 1.35352i −0.0703560 0.0535026i
\(641\) −12.5898 + 34.5902i −0.497268 + 1.36623i 0.396637 + 0.917975i \(0.370177\pi\)
−0.893905 + 0.448256i \(0.852045\pi\)
\(642\) 15.2860 13.0171i 0.603288 0.513742i
\(643\) −3.28386 + 37.5346i −0.129503 + 1.48022i 0.602062 + 0.798450i \(0.294346\pi\)
−0.731564 + 0.681772i \(0.761209\pi\)
\(644\) 2.38828 + 13.5446i 0.0941113 + 0.533732i
\(645\) 27.7739 11.8841i 1.09360 0.467934i
\(646\) −2.55555 + 9.89487i −0.100547 + 0.389308i
\(647\) 29.7444 29.7444i 1.16937 1.16937i 0.187015 0.982357i \(-0.440119\pi\)
0.982357 0.187015i \(-0.0598814\pi\)
\(648\) −6.54639 6.17615i −0.257166 0.242622i
\(649\) −2.91485 3.47379i −0.114418 0.136358i
\(650\) −13.0847 + 6.24034i −0.513225 + 0.244766i
\(651\) −23.5344 + 23.8792i −0.922384 + 0.935900i
\(652\) −0.130574 1.49247i −0.00511368 0.0584497i
\(653\) 17.9182 4.80116i 0.701192 0.187884i 0.109428 0.993995i \(-0.465098\pi\)
0.591764 + 0.806111i \(0.298432\pi\)
\(654\) 35.0995 3.32822i 1.37250 0.130144i
\(655\) 16.8187 13.0218i 0.657161 0.508803i
\(656\) 4.96252 + 0.875027i 0.193754 + 0.0341641i
\(657\) 38.8872 18.8268i 1.51713 0.734504i
\(658\) −1.82431 6.80843i −0.0711191 0.265420i
\(659\) −16.7820 14.0817i −0.653733 0.548547i 0.254468 0.967081i \(-0.418100\pi\)
−0.908201 + 0.418534i \(0.862544\pi\)
\(660\) 7.50443 + 6.71789i 0.292109 + 0.261494i
\(661\) 2.78248 1.01274i 0.108226 0.0393910i −0.287340 0.957829i \(-0.592771\pi\)
0.395566 + 0.918438i \(0.370549\pi\)
\(662\) −2.12405 + 24.2780i −0.0825536 + 0.943592i
\(663\) −5.96084 10.1532i −0.231500 0.394318i
\(664\) 7.18189i 0.278711i
\(665\) −20.9515 + 3.04428i −0.812463 + 0.118052i
\(666\) 27.3954 23.6750i 1.06155 0.917387i
\(667\) 20.6320 29.4655i 0.798874 1.14091i
\(668\) −18.3367 1.60425i −0.709469 0.0620705i
\(669\) 12.0692 + 0.967516i 0.466621 + 0.0374063i
\(670\) −3.65078 + 1.92066i −0.141042 + 0.0742016i
\(671\) −11.8997 + 14.1815i −0.459381 + 0.547469i
\(672\) 3.70977 + 0.626346i 0.143107 + 0.0241618i
\(673\) 24.3814 + 6.53299i 0.939836 + 0.251828i 0.696044 0.717999i \(-0.254942\pi\)
0.243792 + 0.969828i \(0.421609\pi\)
\(674\) −2.91400 + 16.5261i −0.112243 + 0.636563i
\(675\) 21.7267 + 14.2460i 0.836262 + 0.548330i
\(676\) −2.29697 3.97847i −0.0883449 0.153018i
\(677\) −1.04283 3.89189i −0.0400792 0.149578i 0.942987 0.332831i \(-0.108004\pi\)
−0.983066 + 0.183253i \(0.941337\pi\)
\(678\) 2.32915 6.54706i 0.0894504 0.251438i
\(679\) 2.25768 6.20294i 0.0866419 0.238047i
\(680\) −1.98519 + 4.85212i −0.0761284 + 0.186070i
\(681\) −3.64561 + 1.00531i −0.139700 + 0.0385237i
\(682\) 13.2927 18.9839i 0.509004 0.726933i
\(683\) 2.48258 + 2.48258i 0.0949933 + 0.0949933i 0.753006 0.658013i \(-0.228603\pi\)
−0.658013 + 0.753006i \(0.728603\pi\)
\(684\) −12.5477 + 3.68160i −0.479775 + 0.140770i
\(685\) 0.137528 + 2.86456i 0.00525466 + 0.109449i
\(686\) 19.8551 3.50099i 0.758071 0.133668i
\(687\) −11.7162 + 20.6383i −0.447003 + 0.787402i
\(688\) −3.29646 + 7.06928i −0.125676 + 0.269514i
\(689\) 21.9719 + 7.99713i 0.837064 + 0.304666i
\(690\) −11.5752 21.6191i −0.440661 0.823023i
\(691\) 6.24786 10.8216i 0.237680 0.411674i −0.722368 0.691509i \(-0.756946\pi\)
0.960048 + 0.279835i \(0.0902797\pi\)
\(692\) −11.6971 3.13422i −0.444656 0.119145i
\(693\) −16.4313 4.14754i −0.624172 0.157552i
\(694\) −8.05785 1.42082i −0.305872 0.0539334i
\(695\) −4.98229 + 22.9444i −0.188989 + 0.870332i
\(696\) −5.70234 8.01901i −0.216147 0.303960i
\(697\) −1.02968 11.7693i −0.0390019 0.445794i
\(698\) −0.605791 1.29912i −0.0229295 0.0491725i
\(699\) −3.05059 + 38.0542i −0.115384 + 1.43934i
\(700\) −10.8603 + 0.0942683i −0.410482 + 0.00356301i
\(701\) 47.6373 8.39974i 1.79924 0.317254i 0.828970 0.559293i \(-0.188927\pi\)
0.970267 + 0.242039i \(0.0778161\pi\)
\(702\) 7.24620 13.2082i 0.273490 0.498511i
\(703\) −9.60403 51.7248i −0.362223 1.95084i
\(704\) −2.60060 −0.0980137
\(705\) 6.87531 + 10.5204i 0.258939 + 0.396223i
\(706\) −5.66999 + 4.75768i −0.213393 + 0.179058i
\(707\) 2.49930 5.35977i 0.0939959 0.201575i
\(708\) 3.02013 0.0219666i 0.113503 0.000825555i
\(709\) 7.82531 9.32584i 0.293886 0.350239i −0.598817 0.800886i \(-0.704362\pi\)
0.892702 + 0.450647i \(0.148807\pi\)
\(710\) −13.8159 + 26.8237i −0.518502 + 1.00668i
\(711\) −11.0285 + 31.7292i −0.413602 + 1.18994i
\(712\) −0.373479 + 0.261513i −0.0139967 + 0.00980061i
\(713\) −46.2209 + 32.3642i −1.73099 + 1.21205i
\(714\) −0.832669 8.78135i −0.0311619 0.328634i
\(715\) −7.72005 + 14.9885i −0.288713 + 0.560539i
\(716\) −8.68969 + 10.3560i −0.324749 + 0.387021i
\(717\) 0.273304 + 37.5759i 0.0102067 + 1.40330i
\(718\) −1.71387 + 3.67541i −0.0639611 + 0.137165i
\(719\) −11.1167 + 9.32805i −0.414584 + 0.347877i −0.826098 0.563526i \(-0.809445\pi\)
0.411514 + 0.911403i \(0.365000\pi\)
\(720\) −6.63309 + 1.00104i −0.247201 + 0.0373067i
\(721\) −0.162017 −0.00603381
\(722\) −4.58452 + 18.4386i −0.170618 + 0.686214i
\(723\) −12.5121 33.6139i −0.465329 1.25012i
\(724\) 15.0927 2.66125i 0.560915 0.0989044i
\(725\) 20.2589 + 19.9103i 0.752398 + 0.739449i
\(726\) −7.31506 0.586406i −0.271487 0.0217636i
\(727\) −15.6247 33.5073i −0.579488 1.24272i −0.949523 0.313699i \(-0.898432\pi\)
0.370034 0.929018i \(-0.379346\pi\)
\(728\) 0.548886 + 6.27379i 0.0203431 + 0.232522i
\(729\) −26.9743 + 1.17790i −0.999048 + 0.0436258i
\(730\) 6.83349 31.4696i 0.252919 1.16474i
\(731\) 18.0097 + 3.17559i 0.666112 + 0.117454i
\(732\) −2.22930 12.1266i −0.0823973 0.448210i
\(733\) −20.7244 5.55307i −0.765471 0.205107i −0.145101 0.989417i \(-0.546351\pi\)
−0.620370 + 0.784309i \(0.713018\pi\)
\(734\) 0.154358 0.267355i 0.00569744 0.00986826i
\(735\) −7.79083 + 4.17135i −0.287369 + 0.153862i
\(736\) 5.94992 + 2.16559i 0.219317 + 0.0798248i
\(737\) −2.02759 + 4.34817i −0.0746871 + 0.160167i
\(738\) 12.2559 8.85010i 0.451145 0.325777i
\(739\) −3.52287 + 0.621178i −0.129591 + 0.0228504i −0.238067 0.971249i \(-0.576514\pi\)
0.108476 + 0.994099i \(0.465403\pi\)
\(740\) −1.29419 26.9567i −0.0475755 0.990949i
\(741\) −11.2527 18.7756i −0.413378 0.689738i
\(742\) 12.3868 + 12.3868i 0.454735 + 0.454735i
\(743\) 13.8890 19.8355i 0.509537 0.727694i −0.479143 0.877737i \(-0.659052\pi\)
0.988679 + 0.150043i \(0.0479413\pi\)
\(744\) 4.10323 + 14.8797i 0.150432 + 0.545517i
\(745\) 9.85092 24.0772i 0.360910 0.882122i
\(746\) −9.04423 + 24.8488i −0.331133 + 0.909780i
\(747\) 15.4551 + 15.0119i 0.565472 + 0.549256i
\(748\) 1.57806 + 5.88941i 0.0576997 + 0.215338i
\(749\) 12.5895 + 21.8056i 0.460009 + 0.796760i
\(750\) 18.3467 6.19670i 0.669926 0.226272i
\(751\) 3.49041 19.7951i 0.127367 0.722334i −0.852507 0.522716i \(-0.824919\pi\)
0.979874 0.199618i \(-0.0639701\pi\)
\(752\) −3.13442 0.839865i −0.114301 0.0306267i
\(753\) 0.659892 3.90845i 0.0240478 0.142432i
\(754\) 10.5874 12.6175i 0.385570 0.459504i
\(755\) 17.1263 9.01009i 0.623291 0.327911i
\(756\) 9.10217 6.67403i 0.331043 0.242732i
\(757\) 24.8122 + 2.17079i 0.901815 + 0.0788986i 0.528624 0.848856i \(-0.322708\pi\)
0.373191 + 0.927755i \(0.378264\pi\)
\(758\) 15.0567 21.5032i 0.546884 0.781031i
\(759\) −25.9354 11.8650i −0.941396 0.430672i
\(760\) −3.60901 + 9.05401i −0.130913 + 0.328423i
\(761\) 18.6056i 0.674454i −0.941423 0.337227i \(-0.890511\pi\)
0.941423 0.337227i \(-0.109489\pi\)
\(762\) −5.31506 + 3.12041i −0.192544 + 0.113041i
\(763\) −3.85362 + 44.0471i −0.139510 + 1.59461i
\(764\) 1.12525 0.409558i 0.0407102 0.0148173i
\(765\) 6.29201 + 14.4141i 0.227488 + 0.521143i
\(766\) −14.6502 12.2930i −0.529333 0.444163i
\(767\) 1.30848 + 4.88333i 0.0472466 + 0.176327i
\(768\) 1.10366 1.33489i 0.0398249 0.0481687i
\(769\) 27.0529 + 4.77016i 0.975554 + 0.172016i 0.638629 0.769515i \(-0.279502\pi\)
0.336925 + 0.941531i \(0.390613\pi\)
\(770\) −9.98761 + 7.73286i −0.359928 + 0.278673i
\(771\) 0.935483 + 9.86564i 0.0336906 + 0.355302i
\(772\) 6.34066 1.69897i 0.228205 0.0611474i
\(773\) 3.93998 + 45.0341i 0.141711 + 1.61977i 0.650937 +