Properties

Label 144.3.w.a.5.17
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.17
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.786053 + 1.83905i) q^{2} +(1.51963 - 2.58664i) q^{3} +(-2.76424 - 2.89119i) q^{4} +(1.99100 + 7.43050i) q^{5} +(3.56247 + 4.82792i) q^{6} +(-1.50577 + 0.869355i) q^{7} +(7.48989 - 2.81097i) q^{8} +(-4.38144 - 7.86149i) q^{9} +O(q^{10})\) \(q+(-0.786053 + 1.83905i) q^{2} +(1.51963 - 2.58664i) q^{3} +(-2.76424 - 2.89119i) q^{4} +(1.99100 + 7.43050i) q^{5} +(3.56247 + 4.82792i) q^{6} +(-1.50577 + 0.869355i) q^{7} +(7.48989 - 2.81097i) q^{8} +(-4.38144 - 7.86149i) q^{9} +(-15.2301 - 2.17922i) q^{10} +(15.2997 + 4.09955i) q^{11} +(-11.6791 + 2.75657i) q^{12} +(5.73919 + 21.4190i) q^{13} +(-0.415179 - 3.45255i) q^{14} +(22.2456 + 6.14163i) q^{15} +(-0.717932 + 15.9839i) q^{16} +1.12960i q^{17} +(17.9017 - 1.87816i) q^{18} +(12.2501 - 12.2501i) q^{19} +(15.9794 - 26.2961i) q^{20} +(-0.0395007 + 5.21598i) q^{21} +(-19.5657 + 24.9146i) q^{22} +(-6.80266 + 11.7825i) q^{23} +(4.11091 - 23.6453i) q^{24} +(-29.5977 + 17.0882i) q^{25} +(-43.9019 - 6.28174i) q^{26} +(-26.9930 - 0.613350i) q^{27} +(6.67578 + 1.95035i) q^{28} +(0.249824 - 0.932358i) q^{29} +(-28.7810 + 36.0833i) q^{30} +(1.87100 - 3.24066i) q^{31} +(-28.8309 - 13.8845i) q^{32} +(33.8540 - 33.3451i) q^{33} +(-2.07740 - 0.887925i) q^{34} +(-9.45773 - 9.45773i) q^{35} +(-10.6177 + 34.3986i) q^{36} +(-35.9564 - 35.9564i) q^{37} +(12.8994 + 32.1578i) q^{38} +(64.1247 + 17.7037i) q^{39} +(35.7992 + 50.0570i) q^{40} +(30.2406 - 52.3783i) q^{41} +(-9.56143 - 4.17268i) q^{42} +(4.42169 - 16.5020i) q^{43} +(-30.4396 - 55.5666i) q^{44} +(49.6914 - 48.2085i) q^{45} +(-16.3215 - 21.7722i) q^{46} +(11.2070 - 6.47034i) q^{47} +(40.2536 + 26.1467i) q^{48} +(-22.9884 + 39.8171i) q^{49} +(-8.16084 - 67.8640i) q^{50} +(2.92187 + 1.71658i) q^{51} +(46.0617 - 75.8003i) q^{52} +(38.2384 - 38.2384i) q^{53} +(22.3459 - 49.1595i) q^{54} +121.847i q^{55} +(-8.83431 + 10.7440i) q^{56} +(-13.0710 - 50.3022i) q^{57} +(1.51828 + 1.19232i) q^{58} +(5.85788 + 21.8619i) q^{59} +(-43.7357 - 81.2933i) q^{60} +(-95.2073 - 25.5107i) q^{61} +(4.48905 + 5.98819i) q^{62} +(13.4319 + 8.02855i) q^{63} +(48.1969 - 42.1077i) q^{64} +(-147.727 + 85.2902i) q^{65} +(34.7125 + 88.4705i) q^{66} +(-20.8577 - 77.8418i) q^{67} +(3.26589 - 3.12249i) q^{68} +(20.1397 + 35.5012i) q^{69} +(24.8276 - 9.95900i) q^{70} +96.9917 q^{71} +(-54.9149 - 46.5656i) q^{72} -19.4973i q^{73} +(94.3893 - 37.8621i) q^{74} +(-0.776435 + 102.526i) q^{75} +(-69.2795 - 1.55509i) q^{76} +(-26.6018 + 7.12794i) q^{77} +(-82.9634 + 104.013i) q^{78} +(-60.9180 - 105.513i) q^{79} +(-120.198 + 26.4893i) q^{80} +(-42.6060 + 68.8893i) q^{81} +(72.5558 + 96.7862i) q^{82} +(-21.7550 + 81.1908i) q^{83} +(15.1896 - 14.3040i) q^{84} +(-8.39350 + 2.24903i) q^{85} +(26.8724 + 21.1032i) q^{86} +(-2.03203 - 2.06305i) q^{87} +(126.117 - 12.3018i) q^{88} -62.3081 q^{89} +(49.5980 + 129.280i) q^{90} +(-27.2626 - 27.2626i) q^{91} +(52.8698 - 12.9021i) q^{92} +(-5.53920 - 9.76420i) q^{93} +(3.09005 + 25.6962i) q^{94} +(115.414 + 66.6344i) q^{95} +(-79.7266 + 53.4759i) q^{96} +(63.8929 + 110.666i) q^{97} +(-55.1558 - 73.5754i) q^{98} +(-34.8063 - 138.241i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.786053 + 1.83905i −0.393026 + 0.919527i
\(3\) 1.51963 2.58664i 0.506544 0.862214i
\(4\) −2.76424 2.89119i −0.691061 0.722797i
\(5\) 1.99100 + 7.43050i 0.398199 + 1.48610i 0.816262 + 0.577682i \(0.196043\pi\)
−0.418062 + 0.908418i \(0.637291\pi\)
\(6\) 3.56247 + 4.82792i 0.593744 + 0.804654i
\(7\) −1.50577 + 0.869355i −0.215110 + 0.124194i −0.603684 0.797224i \(-0.706301\pi\)
0.388574 + 0.921417i \(0.372968\pi\)
\(8\) 7.48989 2.81097i 0.936236 0.351371i
\(9\) −4.38144 7.86149i −0.486827 0.873499i
\(10\) −15.2301 2.17922i −1.52301 0.217922i
\(11\) 15.2997 + 4.09955i 1.39089 + 0.372687i 0.875063 0.484009i \(-0.160820\pi\)
0.515822 + 0.856696i \(0.327486\pi\)
\(12\) −11.6791 + 2.75657i −0.973258 + 0.229714i
\(13\) 5.73919 + 21.4190i 0.441476 + 1.64761i 0.725076 + 0.688669i \(0.241805\pi\)
−0.283599 + 0.958943i \(0.591528\pi\)
\(14\) −0.415179 3.45255i −0.0296556 0.246611i
\(15\) 22.2456 + 6.14163i 1.48304 + 0.409442i
\(16\) −0.717932 + 15.9839i −0.0448707 + 0.998993i
\(17\) 1.12960i 0.0664471i 0.999448 + 0.0332235i \(0.0105773\pi\)
−0.999448 + 0.0332235i \(0.989423\pi\)
\(18\) 17.9017 1.87816i 0.994541 0.104342i
\(19\) 12.2501 12.2501i 0.644741 0.644741i −0.306976 0.951717i \(-0.599317\pi\)
0.951717 + 0.306976i \(0.0993171\pi\)
\(20\) 15.9794 26.2961i 0.798969 1.31480i
\(21\) −0.0395007 + 5.21598i −0.00188099 + 0.248380i
\(22\) −19.5657 + 24.9146i −0.889350 + 1.13248i
\(23\) −6.80266 + 11.7825i −0.295768 + 0.512285i −0.975163 0.221488i \(-0.928909\pi\)
0.679395 + 0.733772i \(0.262242\pi\)
\(24\) 4.11091 23.6453i 0.171288 0.985221i
\(25\) −29.5977 + 17.0882i −1.18391 + 0.683529i
\(26\) −43.9019 6.28174i −1.68854 0.241606i
\(27\) −26.9930 0.613350i −0.999742 0.0227167i
\(28\) 6.67578 + 1.95035i 0.238421 + 0.0696553i
\(29\) 0.249824 0.932358i 0.00861464 0.0321503i −0.961485 0.274858i \(-0.911369\pi\)
0.970099 + 0.242708i \(0.0780357\pi\)
\(30\) −28.7810 + 36.0833i −0.959368 + 1.20278i
\(31\) 1.87100 3.24066i 0.0603547 0.104537i −0.834269 0.551357i \(-0.814110\pi\)
0.894624 + 0.446820i \(0.147443\pi\)
\(32\) −28.8309 13.8845i −0.900966 0.433890i
\(33\) 33.8540 33.3451i 1.02588 1.01046i
\(34\) −2.07740 0.887925i −0.0610999 0.0261154i
\(35\) −9.45773 9.45773i −0.270221 0.270221i
\(36\) −10.6177 + 34.3986i −0.294936 + 0.955517i
\(37\) −35.9564 35.9564i −0.971794 0.971794i 0.0278191 0.999613i \(-0.491144\pi\)
−0.999613 + 0.0278191i \(0.991144\pi\)
\(38\) 12.8994 + 32.1578i 0.339457 + 0.846258i
\(39\) 64.1247 + 17.7037i 1.64422 + 0.453941i
\(40\) 35.7992 + 50.0570i 0.894981 + 1.25143i
\(41\) 30.2406 52.3783i 0.737576 1.27752i −0.216008 0.976392i \(-0.569304\pi\)
0.953584 0.301127i \(-0.0973629\pi\)
\(42\) −9.56143 4.17268i −0.227653 0.0993496i
\(43\) 4.42169 16.5020i 0.102830 0.383767i −0.895260 0.445544i \(-0.853010\pi\)
0.998090 + 0.0617772i \(0.0196768\pi\)
\(44\) −30.4396 55.5666i −0.691809 1.26288i
\(45\) 49.6914 48.2085i 1.10425 1.07130i
\(46\) −16.3215 21.7722i −0.354815 0.473308i
\(47\) 11.2070 6.47034i 0.238446 0.137667i −0.376016 0.926613i \(-0.622706\pi\)
0.614462 + 0.788946i \(0.289373\pi\)
\(48\) 40.2536 + 26.1467i 0.838617 + 0.544722i
\(49\) −22.9884 + 39.8171i −0.469152 + 0.812595i
\(50\) −8.16084 67.8640i −0.163217 1.35728i
\(51\) 2.92187 + 1.71658i 0.0572916 + 0.0336583i
\(52\) 46.0617 75.8003i 0.885802 1.45770i
\(53\) 38.2384 38.2384i 0.721479 0.721479i −0.247427 0.968906i \(-0.579585\pi\)
0.968906 + 0.247427i \(0.0795852\pi\)
\(54\) 22.3459 49.1595i 0.413814 0.910362i
\(55\) 121.847i 2.21540i
\(56\) −8.83431 + 10.7440i −0.157756 + 0.191858i
\(57\) −13.0710 50.3022i −0.229315 0.882495i
\(58\) 1.51828 + 1.19232i 0.0261773 + 0.0205573i
\(59\) 5.85788 + 21.8619i 0.0992861 + 0.370541i 0.997634 0.0687430i \(-0.0218989\pi\)
−0.898348 + 0.439284i \(0.855232\pi\)
\(60\) −43.7357 81.2933i −0.728929 1.35489i
\(61\) −95.2073 25.5107i −1.56078 0.418209i −0.627867 0.778321i \(-0.716072\pi\)
−0.932909 + 0.360112i \(0.882738\pi\)
\(62\) 4.48905 + 5.98819i 0.0724040 + 0.0965837i
\(63\) 13.4319 + 8.02855i 0.213204 + 0.127437i
\(64\) 48.1969 42.1077i 0.753077 0.657932i
\(65\) −147.727 + 85.2902i −2.27272 + 1.31216i
\(66\) 34.7125 + 88.4705i 0.525946 + 1.34046i
\(67\) −20.8577 77.8418i −0.311308 1.16182i −0.927378 0.374127i \(-0.877943\pi\)
0.616069 0.787692i \(-0.288724\pi\)
\(68\) 3.26589 3.12249i 0.0480277 0.0459189i
\(69\) 20.1397 + 35.5012i 0.291880 + 0.514510i
\(70\) 24.8276 9.95900i 0.354679 0.142271i
\(71\) 96.9917 1.36608 0.683040 0.730381i \(-0.260657\pi\)
0.683040 + 0.730381i \(0.260657\pi\)
\(72\) −54.9149 46.5656i −0.762707 0.646745i
\(73\) 19.4973i 0.267087i −0.991043 0.133543i \(-0.957364\pi\)
0.991043 0.133543i \(-0.0426355\pi\)
\(74\) 94.3893 37.8621i 1.27553 0.511650i
\(75\) −0.776435 + 102.526i −0.0103525 + 1.36702i
\(76\) −69.2795 1.55509i −0.911573 0.0204618i
\(77\) −26.6018 + 7.12794i −0.345478 + 0.0925706i
\(78\) −82.9634 + 104.013i −1.06363 + 1.33350i
\(79\) −60.9180 105.513i −0.771114 1.33561i −0.936953 0.349456i \(-0.886366\pi\)
0.165838 0.986153i \(-0.446967\pi\)
\(80\) −120.198 + 26.4893i −1.50247 + 0.331116i
\(81\) −42.6060 + 68.8893i −0.526000 + 0.850485i
\(82\) 72.5558 + 96.7862i 0.884826 + 1.18032i
\(83\) −21.7550 + 81.1908i −0.262109 + 0.978202i 0.701888 + 0.712287i \(0.252341\pi\)
−0.963996 + 0.265915i \(0.914326\pi\)
\(84\) 15.1896 14.3040i 0.180828 0.170286i
\(85\) −8.39350 + 2.24903i −0.0987470 + 0.0264592i
\(86\) 26.8724 + 21.1032i 0.312469 + 0.245386i
\(87\) −2.03203 2.06305i −0.0233567 0.0237132i
\(88\) 126.117 12.3018i 1.43315 0.139794i
\(89\) −62.3081 −0.700091 −0.350045 0.936733i \(-0.613834\pi\)
−0.350045 + 0.936733i \(0.613834\pi\)
\(90\) 49.5980 + 129.280i 0.551089 + 1.43644i
\(91\) −27.2626 27.2626i −0.299589 0.299589i
\(92\) 52.8698 12.9021i 0.574671 0.140240i
\(93\) −5.53920 9.76420i −0.0595613 0.104991i
\(94\) 3.09005 + 25.6962i 0.0328728 + 0.273364i
\(95\) 115.414 + 66.6344i 1.21489 + 0.701415i
\(96\) −79.7266 + 53.4759i −0.830485 + 0.557041i
\(97\) 63.8929 + 110.666i 0.658690 + 1.14088i 0.980955 + 0.194235i \(0.0622224\pi\)
−0.322265 + 0.946649i \(0.604444\pi\)
\(98\) −55.1558 73.5754i −0.562814 0.750769i
\(99\) −34.8063 138.241i −0.351579 1.39637i
\(100\) 131.220 + 38.3364i 1.31220 + 0.383364i
\(101\) 11.5405 + 3.09227i 0.114263 + 0.0306166i 0.315497 0.948926i \(-0.397829\pi\)
−0.201235 + 0.979543i \(0.564495\pi\)
\(102\) −5.45362 + 4.02416i −0.0534669 + 0.0394526i
\(103\) 42.5462 + 24.5640i 0.413069 + 0.238486i 0.692108 0.721794i \(-0.256682\pi\)
−0.279038 + 0.960280i \(0.590016\pi\)
\(104\) 103.194 + 144.293i 0.992249 + 1.38743i
\(105\) −38.8360 + 10.0915i −0.369867 + 0.0961095i
\(106\) 40.2651 + 100.380i 0.379859 + 0.946980i
\(107\) −30.8837 + 30.8837i −0.288633 + 0.288633i −0.836540 0.547906i \(-0.815425\pi\)
0.547906 + 0.836540i \(0.315425\pi\)
\(108\) 72.8420 + 79.7374i 0.674463 + 0.738309i
\(109\) 86.7267 86.7267i 0.795658 0.795658i −0.186750 0.982408i \(-0.559795\pi\)
0.982408 + 0.186750i \(0.0597954\pi\)
\(110\) −224.083 95.7781i −2.03712 0.870710i
\(111\) −147.647 + 38.3658i −1.33015 + 0.345638i
\(112\) −12.8146 24.6922i −0.114416 0.220466i
\(113\) −124.345 71.7904i −1.10040 0.635314i −0.164071 0.986449i \(-0.552462\pi\)
−0.936325 + 0.351135i \(0.885796\pi\)
\(114\) 102.783 + 15.5020i 0.901605 + 0.135982i
\(115\) −101.094 27.0882i −0.879081 0.235549i
\(116\) −3.38620 + 1.85497i −0.0291913 + 0.0159911i
\(117\) 143.239 138.964i 1.22426 1.18773i
\(118\) −44.8099 6.41166i −0.379745 0.0543361i
\(119\) −0.982024 1.70092i −0.00825230 0.0142934i
\(120\) 183.881 16.5316i 1.53234 0.137763i
\(121\) 112.487 + 64.9442i 0.929641 + 0.536729i
\(122\) 121.754 155.039i 0.997980 1.27081i
\(123\) −89.5293 157.817i −0.727880 1.28307i
\(124\) −14.5412 + 3.54857i −0.117268 + 0.0286175i
\(125\) −49.9154 49.9154i −0.399323 0.399323i
\(126\) −25.3231 + 18.3911i −0.200977 + 0.145961i
\(127\) −160.336 −1.26249 −0.631246 0.775583i \(-0.717456\pi\)
−0.631246 + 0.775583i \(0.717456\pi\)
\(128\) 39.5529 + 121.736i 0.309007 + 0.951060i
\(129\) −35.9654 36.5143i −0.278801 0.283056i
\(130\) −40.7321 338.720i −0.313324 2.60554i
\(131\) 136.866 36.6731i 1.04478 0.279947i 0.304686 0.952453i \(-0.401449\pi\)
0.740092 + 0.672506i \(0.234782\pi\)
\(132\) −189.988 5.70435i −1.43930 0.0432147i
\(133\) −7.79611 + 29.0955i −0.0586174 + 0.218763i
\(134\) 159.551 + 22.8294i 1.19068 + 0.170369i
\(135\) −49.1856 201.793i −0.364337 1.49476i
\(136\) 3.17527 + 8.46058i 0.0233475 + 0.0622102i
\(137\) 111.875 + 193.773i 0.816606 + 1.41440i 0.908169 + 0.418603i \(0.137480\pi\)
−0.0915637 + 0.995799i \(0.529187\pi\)
\(138\) −81.1195 + 9.13222i −0.587822 + 0.0661755i
\(139\) 119.668 32.0649i 0.860920 0.230683i 0.198763 0.980048i \(-0.436308\pi\)
0.662157 + 0.749365i \(0.269641\pi\)
\(140\) −1.20062 + 53.4875i −0.00857584 + 0.382054i
\(141\) 0.293992 38.8209i 0.00208505 0.275326i
\(142\) −76.2406 + 178.373i −0.536906 + 1.25615i
\(143\) 351.233i 2.45617i
\(144\) 128.803 64.3884i 0.894463 0.447142i
\(145\) 7.42529 0.0512089
\(146\) 35.8566 + 15.3259i 0.245593 + 0.104972i
\(147\) 68.0588 + 119.970i 0.462985 + 0.816124i
\(148\) −4.56450 + 203.349i −0.0308412 + 1.37398i
\(149\) 25.1133 + 93.7241i 0.168546 + 0.629021i 0.997561 + 0.0697956i \(0.0222347\pi\)
−0.829016 + 0.559225i \(0.811099\pi\)
\(150\) −187.941 82.0191i −1.25294 0.546794i
\(151\) −29.7196 + 17.1586i −0.196818 + 0.113633i −0.595171 0.803599i \(-0.702916\pi\)
0.398352 + 0.917233i \(0.369582\pi\)
\(152\) 57.3173 126.186i 0.377087 0.830174i
\(153\) 8.88034 4.94927i 0.0580414 0.0323482i
\(154\) 7.80177 54.5251i 0.0506609 0.354059i
\(155\) 27.8049 + 7.45029i 0.179386 + 0.0480664i
\(156\) −126.071 234.334i −0.808150 1.50214i
\(157\) −7.06398 26.3631i −0.0449935 0.167918i 0.939773 0.341798i \(-0.111036\pi\)
−0.984767 + 0.173881i \(0.944369\pi\)
\(158\) 241.929 29.0927i 1.53120 0.184131i
\(159\) −40.8008 157.017i −0.256609 0.987530i
\(160\) 45.7665 241.872i 0.286041 1.51170i
\(161\) 23.6557i 0.146930i
\(162\) −93.2005 132.505i −0.575312 0.817934i
\(163\) 164.334 164.334i 1.00818 1.00818i 0.00821510 0.999966i \(-0.497385\pi\)
0.999966 0.00821510i \(-0.00261498\pi\)
\(164\) −235.028 + 57.3549i −1.43310 + 0.349725i
\(165\) 315.175 + 185.162i 1.91015 + 1.12220i
\(166\) −132.214 103.829i −0.796468 0.625475i
\(167\) 11.4120 19.7661i 0.0683353 0.118360i −0.829833 0.558011i \(-0.811565\pi\)
0.898169 + 0.439651i \(0.144898\pi\)
\(168\) 14.3661 + 39.1782i 0.0855125 + 0.233203i
\(169\) −279.475 + 161.355i −1.65370 + 0.954764i
\(170\) 2.46164 17.2040i 0.0144802 0.101200i
\(171\) −149.977 42.6309i −0.877058 0.249304i
\(172\) −59.9330 + 32.8315i −0.348448 + 0.190881i
\(173\) −30.1316 + 112.453i −0.174171 + 0.650015i 0.822520 + 0.568736i \(0.192567\pi\)
−0.996691 + 0.0812794i \(0.974099\pi\)
\(174\) 5.39134 2.11536i 0.0309847 0.0121572i
\(175\) 29.7115 51.4618i 0.169780 0.294067i
\(176\) −76.5109 + 241.606i −0.434721 + 1.37276i
\(177\) 65.4508 + 18.0698i 0.369778 + 0.102089i
\(178\) 48.9774 114.588i 0.275154 0.643752i
\(179\) −220.010 220.010i −1.22911 1.22911i −0.964302 0.264804i \(-0.914693\pi\)
−0.264804 0.964302i \(-0.585307\pi\)
\(180\) −276.739 10.4071i −1.53744 0.0578175i
\(181\) 27.4309 + 27.4309i 0.151552 + 0.151552i 0.778811 0.627259i \(-0.215823\pi\)
−0.627259 + 0.778811i \(0.715823\pi\)
\(182\) 71.5672 28.7075i 0.393226 0.157734i
\(183\) −210.667 + 207.500i −1.15119 + 1.13388i
\(184\) −17.8308 + 107.372i −0.0969067 + 0.583544i
\(185\) 195.585 338.763i 1.05722 1.83115i
\(186\) 22.3110 2.51171i 0.119952 0.0135038i
\(187\) −4.63085 + 17.2826i −0.0247639 + 0.0924202i
\(188\) −49.6857 14.5158i −0.264286 0.0772118i
\(189\) 41.1785 22.5430i 0.217875 0.119275i
\(190\) −213.266 + 159.875i −1.12245 + 0.841447i
\(191\) 189.546 109.435i 0.992390 0.572957i 0.0864021 0.996260i \(-0.472463\pi\)
0.905988 + 0.423304i \(0.139130\pi\)
\(192\) −35.6758 188.656i −0.185812 0.982585i
\(193\) −16.5153 + 28.6054i −0.0855716 + 0.148214i −0.905635 0.424059i \(-0.860605\pi\)
0.820063 + 0.572273i \(0.193938\pi\)
\(194\) −253.744 + 30.5134i −1.30796 + 0.157286i
\(195\) −3.87531 + 511.726i −0.0198734 + 2.62424i
\(196\) 178.664 43.6003i 0.911553 0.222451i
\(197\) −73.3903 + 73.3903i −0.372540 + 0.372540i −0.868402 0.495862i \(-0.834852\pi\)
0.495862 + 0.868402i \(0.334852\pi\)
\(198\) 281.592 + 44.6538i 1.42218 + 0.225524i
\(199\) 304.640i 1.53085i −0.643523 0.765427i \(-0.722528\pi\)
0.643523 0.765427i \(-0.277472\pi\)
\(200\) −173.649 + 211.187i −0.868245 + 1.05594i
\(201\) −233.045 64.3396i −1.15943 0.320098i
\(202\) −14.7583 + 18.7930i −0.0730610 + 0.0930345i
\(203\) 0.434373 + 1.62110i 0.00213977 + 0.00798572i
\(204\) −3.11382 13.1927i −0.0152638 0.0646701i
\(205\) 449.406 + 120.418i 2.19222 + 0.587405i
\(206\) −78.6181 + 58.9361i −0.381641 + 0.286097i
\(207\) 122.434 + 1.85449i 0.591468 + 0.00895891i
\(208\) −346.479 + 76.3572i −1.66576 + 0.367102i
\(209\) 237.643 137.203i 1.13705 0.656475i
\(210\) 11.9684 79.3540i 0.0569922 0.377876i
\(211\) −51.1274 190.810i −0.242310 0.904314i −0.974716 0.223446i \(-0.928269\pi\)
0.732406 0.680868i \(-0.238397\pi\)
\(212\) −216.255 4.85419i −1.02007 0.0228971i
\(213\) 147.392 250.883i 0.691980 1.17785i
\(214\) −32.5206 81.0731i −0.151966 0.378846i
\(215\) 131.422 0.611263
\(216\) −203.899 + 71.2826i −0.943977 + 0.330012i
\(217\) 6.50624i 0.0299827i
\(218\) 91.3234 + 227.667i 0.418914 + 1.04434i
\(219\) −50.4326 29.6288i −0.230286 0.135291i
\(220\) 352.282 336.814i 1.60128 1.53097i
\(221\) −24.1949 + 6.48299i −0.109479 + 0.0293348i
\(222\) 45.5013 301.688i 0.204961 1.35895i
\(223\) 47.3041 + 81.9332i 0.212126 + 0.367413i 0.952380 0.304914i \(-0.0986279\pi\)
−0.740254 + 0.672328i \(0.765295\pi\)
\(224\) 55.4832 4.15748i 0.247693 0.0185602i
\(225\) 264.019 + 157.811i 1.17342 + 0.701381i
\(226\) 229.768 172.246i 1.01667 0.762148i
\(227\) 84.1564 314.076i 0.370733 1.38359i −0.488747 0.872425i \(-0.662546\pi\)
0.859480 0.511169i \(-0.170787\pi\)
\(228\) −109.302 + 176.838i −0.479394 + 0.775606i
\(229\) −97.5906 + 26.1493i −0.426160 + 0.114189i −0.465523 0.885036i \(-0.654134\pi\)
0.0393631 + 0.999225i \(0.487467\pi\)
\(230\) 129.282 164.625i 0.562096 0.715762i
\(231\) −21.9875 + 79.6412i −0.0951842 + 0.344767i
\(232\) −0.749667 7.68550i −0.00323132 0.0331272i
\(233\) 61.4767 0.263848 0.131924 0.991260i \(-0.457884\pi\)
0.131924 + 0.991260i \(0.457884\pi\)
\(234\) 142.970 + 372.658i 0.610982 + 1.59255i
\(235\) 70.3909 + 70.3909i 0.299536 + 0.299536i
\(236\) 47.0143 77.3679i 0.199213 0.327830i
\(237\) −365.498 2.76792i −1.54218 0.0116790i
\(238\) 3.90000 0.468986i 0.0163865 0.00197053i
\(239\) −158.478 91.4971i −0.663087 0.382833i 0.130365 0.991466i \(-0.458385\pi\)
−0.793452 + 0.608633i \(0.791718\pi\)
\(240\) −114.138 + 351.162i −0.475575 + 1.46318i
\(241\) −8.63160 14.9504i −0.0358158 0.0620347i 0.847562 0.530697i \(-0.178070\pi\)
−0.883378 + 0.468662i \(0.844736\pi\)
\(242\) −207.856 + 155.819i −0.858910 + 0.643882i
\(243\) 113.446 + 214.893i 0.466858 + 0.884332i
\(244\) 189.420 + 345.780i 0.776311 + 1.41713i
\(245\) −341.631 91.5399i −1.39441 0.373632i
\(246\) 360.609 40.5965i 1.46589 0.165026i
\(247\) 332.690 + 192.079i 1.34692 + 0.777646i
\(248\) 4.90417 29.5315i 0.0197749 0.119079i
\(249\) 176.952 + 179.653i 0.710651 + 0.721496i
\(250\) 131.033 52.5610i 0.524133 0.210244i
\(251\) −53.7711 + 53.7711i −0.214227 + 0.214227i −0.806061 0.591833i \(-0.798404\pi\)
0.591833 + 0.806061i \(0.298404\pi\)
\(252\) −13.9169 61.0269i −0.0552257 0.242170i
\(253\) −152.382 + 152.382i −0.602301 + 0.602301i
\(254\) 126.033 294.868i 0.496193 1.16090i
\(255\) −6.93758 + 25.1287i −0.0272062 + 0.0985438i
\(256\) −254.969 22.9507i −0.995973 0.0896511i
\(257\) −1.99425 1.15138i −0.00775972 0.00448008i 0.496115 0.868257i \(-0.334759\pi\)
−0.503875 + 0.863777i \(0.668093\pi\)
\(258\) 95.4224 37.4402i 0.369854 0.145117i
\(259\) 85.4008 + 22.8831i 0.329733 + 0.0883517i
\(260\) 654.943 + 191.344i 2.51901 + 0.735937i
\(261\) −8.42431 + 2.12108i −0.0322770 + 0.00812673i
\(262\) −40.1400 + 280.531i −0.153206 + 1.07073i
\(263\) −11.0389 19.1199i −0.0419730 0.0726994i 0.844276 0.535909i \(-0.180031\pi\)
−0.886249 + 0.463210i \(0.846698\pi\)
\(264\) 159.831 344.914i 0.605421 1.30649i
\(265\) 360.263 + 207.998i 1.35948 + 0.784898i
\(266\) −47.3800 37.2080i −0.178120 0.139880i
\(267\) −94.6853 + 161.169i −0.354627 + 0.603628i
\(268\) −167.400 + 275.477i −0.624626 + 1.02790i
\(269\) −233.470 233.470i −0.867918 0.867918i 0.124324 0.992242i \(-0.460324\pi\)
−0.992242 + 0.124324i \(0.960324\pi\)
\(270\) 409.771 + 68.1650i 1.51767 + 0.252463i
\(271\) −205.475 −0.758209 −0.379104 0.925354i \(-0.623768\pi\)
−0.379104 + 0.925354i \(0.623768\pi\)
\(272\) −18.0554 0.810976i −0.0663801 0.00298153i
\(273\) −111.948 + 29.0895i −0.410065 + 0.106555i
\(274\) −444.299 + 53.4282i −1.62153 + 0.194994i
\(275\) −522.891 + 140.108i −1.90142 + 0.509484i
\(276\) 46.9695 156.362i 0.170180 0.566527i
\(277\) −42.7341 + 159.486i −0.154275 + 0.575761i 0.844892 + 0.534937i \(0.179665\pi\)
−0.999166 + 0.0408235i \(0.987002\pi\)
\(278\) −35.0961 + 245.280i −0.126245 + 0.882304i
\(279\) −33.6741 0.510058i −0.120696 0.00182816i
\(280\) −97.4227 44.2520i −0.347938 0.158043i
\(281\) −80.3152 139.110i −0.285819 0.495054i 0.686988 0.726669i \(-0.258932\pi\)
−0.972808 + 0.231615i \(0.925599\pi\)
\(282\) 71.1627 + 31.0560i 0.252350 + 0.110127i
\(283\) −126.634 + 33.9316i −0.447471 + 0.119900i −0.475516 0.879707i \(-0.657739\pi\)
0.0280447 + 0.999607i \(0.491072\pi\)
\(284\) −268.109 280.421i −0.944044 0.987399i
\(285\) 347.747 197.276i 1.22016 0.692195i
\(286\) −645.936 276.087i −2.25852 0.965340i
\(287\) 105.159i 0.366409i
\(288\) 17.1681 + 287.488i 0.0596113 + 0.998222i
\(289\) 287.724 0.995585
\(290\) −5.83667 + 13.6555i −0.0201264 + 0.0470879i
\(291\) 383.346 + 2.90309i 1.31734 + 0.00997626i
\(292\) −56.3704 + 53.8953i −0.193049 + 0.184573i
\(293\) 107.565 + 401.438i 0.367116 + 1.37010i 0.864529 + 0.502583i \(0.167617\pi\)
−0.497413 + 0.867514i \(0.665717\pi\)
\(294\) −274.130 + 30.8608i −0.932414 + 0.104969i
\(295\) −150.782 + 87.0540i −0.511125 + 0.295098i
\(296\) −370.381 168.237i −1.25129 0.568369i
\(297\) −410.472 120.043i −1.38206 0.404187i
\(298\) −192.104 27.4874i −0.644645 0.0922395i
\(299\) −291.412 78.0835i −0.974621 0.261149i
\(300\) 298.569 281.163i 0.995231 0.937210i
\(301\) 7.68805 + 28.6922i 0.0255417 + 0.0953229i
\(302\) −8.19445 68.1435i −0.0271340 0.225641i
\(303\) 25.5360 25.1521i 0.0842771 0.0830102i
\(304\) 187.009 + 204.599i 0.615162 + 0.673022i
\(305\) 758.230i 2.48600i
\(306\) 2.12157 + 20.2218i 0.00693323 + 0.0660843i
\(307\) 102.995 102.995i 0.335488 0.335488i −0.519178 0.854666i \(-0.673762\pi\)
0.854666 + 0.519178i \(0.173762\pi\)
\(308\) 94.1421 + 57.2075i 0.305656 + 0.185739i
\(309\) 128.193 72.7234i 0.414864 0.235351i
\(310\) −35.5576 + 45.2784i −0.114702 + 0.146059i
\(311\) −66.9346 + 115.934i −0.215224 + 0.372778i −0.953342 0.301893i \(-0.902381\pi\)
0.738118 + 0.674672i \(0.235715\pi\)
\(312\) 530.051 47.6535i 1.69888 0.152735i
\(313\) 237.334 137.025i 0.758257 0.437780i −0.0704129 0.997518i \(-0.522432\pi\)
0.828669 + 0.559738i \(0.189098\pi\)
\(314\) 54.0359 + 7.73176i 0.172089 + 0.0246235i
\(315\) −32.9134 + 115.790i −0.104487 + 0.367588i
\(316\) −136.666 + 467.789i −0.432488 + 1.48035i
\(317\) −93.1714 + 347.720i −0.293916 + 1.09691i 0.648158 + 0.761506i \(0.275539\pi\)
−0.942074 + 0.335404i \(0.891127\pi\)
\(318\) 320.835 + 48.3891i 1.00891 + 0.152167i
\(319\) 7.64450 13.2407i 0.0239639 0.0415068i
\(320\) 408.841 + 274.291i 1.27763 + 0.857161i
\(321\) 32.9533 + 126.817i 0.102658 + 0.395069i
\(322\) 43.5041 + 18.5946i 0.135106 + 0.0577473i
\(323\) 13.8377 + 13.8377i 0.0428412 + 0.0428412i
\(324\) 316.945 67.2447i 0.978225 0.207545i
\(325\) −535.879 535.879i −1.64886 1.64886i
\(326\) 173.044 + 431.393i 0.530808 + 1.32329i
\(327\) −92.5383 356.124i −0.282992 1.08906i
\(328\) 79.2654 477.313i 0.241663 1.45522i
\(329\) −11.2500 + 19.4857i −0.0341947 + 0.0592269i
\(330\) −588.268 + 434.076i −1.78263 + 1.31538i
\(331\) 68.9272 257.240i 0.208239 0.777160i −0.780198 0.625532i \(-0.784882\pi\)
0.988438 0.151628i \(-0.0484514\pi\)
\(332\) 294.874 161.533i 0.888175 0.486546i
\(333\) −125.130 + 440.211i −0.375766 + 1.32196i
\(334\) 27.3806 + 36.5245i 0.0819778 + 0.109355i
\(335\) 536.877 309.966i 1.60262 0.925271i
\(336\) −83.3433 4.37610i −0.248046 0.0130241i
\(337\) −55.4620 + 96.0630i −0.164576 + 0.285053i −0.936504 0.350656i \(-0.885959\pi\)
0.771929 + 0.635709i \(0.219292\pi\)
\(338\) −77.0585 640.804i −0.227984 1.89587i
\(339\) −374.654 + 212.540i −1.10517 + 0.626962i
\(340\) 29.7040 + 18.0503i 0.0873648 + 0.0530891i
\(341\) 41.9110 41.9110i 0.122906 0.122906i
\(342\) 196.290 242.306i 0.573948 0.708496i
\(343\) 165.137i 0.481450i
\(344\) −13.2685 136.027i −0.0385712 0.395428i
\(345\) −223.694 + 220.331i −0.648387 + 0.638640i
\(346\) −183.121 143.807i −0.529253 0.415628i
\(347\) 7.11585 + 26.5567i 0.0205068 + 0.0765323i 0.975421 0.220350i \(-0.0707199\pi\)
−0.954914 + 0.296882i \(0.904053\pi\)
\(348\) −0.347620 + 11.5778i −0.000998907 + 0.0332694i
\(349\) −69.9110 18.7326i −0.200318 0.0536750i 0.157265 0.987556i \(-0.449732\pi\)
−0.357583 + 0.933881i \(0.616399\pi\)
\(350\) 71.2863 + 95.0927i 0.203675 + 0.271694i
\(351\) −141.781 581.683i −0.403934 1.65722i
\(352\) −384.185 330.623i −1.09143 0.939270i
\(353\) −111.275 + 64.2444i −0.315225 + 0.181995i −0.649262 0.760565i \(-0.724922\pi\)
0.334037 + 0.942560i \(0.391589\pi\)
\(354\) −84.6791 + 106.164i −0.239207 + 0.299898i
\(355\) 193.110 + 720.697i 0.543972 + 2.03013i
\(356\) 172.235 + 180.144i 0.483805 + 0.506023i
\(357\) −5.89197 0.0446200i −0.0165041 0.000124986i
\(358\) 577.550 231.671i 1.61327 0.647125i
\(359\) 4.76387 0.0132698 0.00663492 0.999978i \(-0.497888\pi\)
0.00663492 + 0.999978i \(0.497888\pi\)
\(360\) 236.671 500.757i 0.657418 1.39099i
\(361\) 60.8707i 0.168617i
\(362\) −72.0090 + 28.8848i −0.198920 + 0.0797922i
\(363\) 338.925 192.271i 0.933679 0.529673i
\(364\) −3.46086 + 154.182i −0.00950787 + 0.423576i
\(365\) 144.875 38.8191i 0.396918 0.106354i
\(366\) −216.009 550.535i −0.590189 1.50419i
\(367\) 73.5089 + 127.321i 0.200297 + 0.346924i 0.948624 0.316406i \(-0.102476\pi\)
−0.748327 + 0.663330i \(0.769143\pi\)
\(368\) −183.447 117.192i −0.498497 0.318456i
\(369\) −544.268 8.24399i −1.47498 0.0223414i
\(370\) 469.264 + 625.977i 1.26828 + 1.69183i
\(371\) −24.3354 + 90.8209i −0.0655940 + 0.244800i
\(372\) −12.9184 + 43.0055i −0.0347270 + 0.115606i
\(373\) −621.849 + 166.624i −1.66716 + 0.446713i −0.964342 0.264660i \(-0.914740\pi\)
−0.702815 + 0.711373i \(0.748074\pi\)
\(374\) −28.1435 22.1014i −0.0752500 0.0590947i
\(375\) −204.966 + 53.2602i −0.546577 + 0.142027i
\(376\) 65.7510 79.9645i 0.174870 0.212672i
\(377\) 21.4039 0.0567743
\(378\) 9.08932 + 93.4494i 0.0240458 + 0.247221i
\(379\) 242.354 + 242.354i 0.639457 + 0.639457i 0.950422 0.310964i \(-0.100652\pi\)
−0.310964 + 0.950422i \(0.600652\pi\)
\(380\) −126.380 517.878i −0.332579 1.36284i
\(381\) −243.652 + 414.733i −0.639508 + 1.08854i
\(382\) 52.2628 + 434.608i 0.136814 + 1.13772i
\(383\) 183.167 + 105.751i 0.478242 + 0.276113i 0.719683 0.694302i \(-0.244287\pi\)
−0.241442 + 0.970415i \(0.577620\pi\)
\(384\) 374.992 + 82.6841i 0.976543 + 0.215323i
\(385\) −105.928 183.473i −0.275138 0.476554i
\(386\) −39.6249 52.8579i −0.102655 0.136938i
\(387\) −149.104 + 37.5414i −0.385280 + 0.0970061i
\(388\) 143.340 490.633i 0.369433 1.26452i
\(389\) −243.202 65.1659i −0.625199 0.167522i −0.0677088 0.997705i \(-0.521569\pi\)
−0.557490 + 0.830184i \(0.688236\pi\)
\(390\) −938.047 409.371i −2.40525 1.04967i
\(391\) −13.3096 7.68428i −0.0340398 0.0196529i
\(392\) −60.2563 + 362.846i −0.153715 + 0.925627i
\(393\) 113.126 409.753i 0.287851 1.04263i
\(394\) −77.2802 192.658i −0.196143 0.488978i
\(395\) 662.728 662.728i 1.67779 1.67779i
\(396\) −303.467 + 482.762i −0.766330 + 1.21910i
\(397\) 57.9316 57.9316i 0.145923 0.145923i −0.630371 0.776294i \(-0.717097\pi\)
0.776294 + 0.630371i \(0.217097\pi\)
\(398\) 560.249 + 239.463i 1.40766 + 0.601666i
\(399\) 63.4124 + 64.3801i 0.158928 + 0.161354i
\(400\) −251.887 485.354i −0.629718 1.21339i
\(401\) −243.809 140.763i −0.608002 0.351030i 0.164181 0.986430i \(-0.447502\pi\)
−0.772183 + 0.635400i \(0.780835\pi\)
\(402\) 301.510 378.008i 0.750024 0.940318i
\(403\) 80.1495 + 21.4760i 0.198882 + 0.0532903i
\(404\) −22.9605 41.9136i −0.0568328 0.103747i
\(405\) −596.710 179.426i −1.47336 0.443026i
\(406\) −3.32273 0.475436i −0.00818407 0.00117102i
\(407\) −402.718 697.528i −0.989479 1.71383i
\(408\) 26.7097 + 4.64369i 0.0654650 + 0.0113816i
\(409\) 45.6115 + 26.3338i 0.111519 + 0.0643858i 0.554722 0.832036i \(-0.312825\pi\)
−0.443203 + 0.896421i \(0.646158\pi\)
\(410\) −574.712 + 731.827i −1.40174 + 1.78494i
\(411\) 671.231 + 5.08324i 1.63316 + 0.0123680i
\(412\) −46.5886 190.910i −0.113079 0.463373i
\(413\) −27.8264 27.8264i −0.0673762 0.0673762i
\(414\) −99.6499 + 223.705i −0.240700 + 0.540350i
\(415\) −646.603 −1.55808
\(416\) 131.925 697.214i 0.317128 1.67599i
\(417\) 98.9106 358.265i 0.237196 0.859148i
\(418\) 65.5243 + 544.887i 0.156757 + 1.30356i
\(419\) −491.103 + 131.591i −1.17208 + 0.314059i −0.791782 0.610803i \(-0.790847\pi\)
−0.380302 + 0.924862i \(0.624180\pi\)
\(420\) 136.529 + 84.3869i 0.325068 + 0.200921i
\(421\) 159.121 593.849i 0.377961 1.41057i −0.471010 0.882128i \(-0.656110\pi\)
0.848971 0.528440i \(-0.177223\pi\)
\(422\) 391.099 + 55.9607i 0.926775 + 0.132608i
\(423\) −99.9691 59.7539i −0.236333 0.141262i
\(424\) 178.915 393.888i 0.421968 0.928982i
\(425\) −19.3029 33.4335i −0.0454185 0.0786671i
\(426\) 345.530 + 468.268i 0.811102 + 1.09922i
\(427\) 165.538 44.3558i 0.387677 0.103878i
\(428\) 174.661 + 3.92055i 0.408086 + 0.00916017i
\(429\) 908.513 + 533.744i 2.11775 + 1.24416i
\(430\) −103.304 + 241.692i −0.240243 + 0.562073i
\(431\) 501.480i 1.16353i 0.813358 + 0.581763i \(0.197637\pi\)
−0.813358 + 0.581763i \(0.802363\pi\)
\(432\) 29.1829 431.013i 0.0675530 0.997716i
\(433\) 527.222 1.21760 0.608802 0.793322i \(-0.291650\pi\)
0.608802 + 0.793322i \(0.291650\pi\)
\(434\) −11.9653 5.11425i −0.0275699 0.0117840i
\(435\) 11.2837 19.2066i 0.0259395 0.0441530i
\(436\) −490.477 11.0096i −1.12495 0.0252513i
\(437\) 61.0041 + 227.670i 0.139598 + 0.520985i
\(438\) 94.1316 69.4586i 0.214912 0.158581i
\(439\) −697.768 + 402.857i −1.58945 + 0.917669i −0.596051 + 0.802946i \(0.703264\pi\)
−0.993398 + 0.114722i \(0.963402\pi\)
\(440\) 342.508 + 912.620i 0.778426 + 2.07414i
\(441\) 413.744 + 6.26695i 0.938196 + 0.0142108i
\(442\) 7.09586 49.5916i 0.0160540 0.112198i
\(443\) 703.771 + 188.575i 1.58865 + 0.425677i 0.941590 0.336763i \(-0.109332\pi\)
0.647059 + 0.762440i \(0.275999\pi\)
\(444\) 519.054 + 320.822i 1.16904 + 0.722572i
\(445\) −124.055 462.980i −0.278776 1.04041i
\(446\) −187.863 + 22.5911i −0.421218 + 0.0506527i
\(447\) 280.594 + 77.4670i 0.627727 + 0.173304i
\(448\) −35.9669 + 105.305i −0.0802833 + 0.235055i
\(449\) 657.505i 1.46438i 0.681102 + 0.732189i \(0.261501\pi\)
−0.681102 + 0.732189i \(0.738499\pi\)
\(450\) −497.756 + 361.498i −1.10612 + 0.803330i
\(451\) 677.401 677.401i 1.50200 1.50200i
\(452\) 136.159 + 557.950i 0.301237 + 1.23440i
\(453\) −0.779633 + 102.949i −0.00172104 + 0.227260i
\(454\) 511.451 + 401.648i 1.12654 + 0.884688i
\(455\) 148.295 256.854i 0.325923 0.564515i
\(456\) −239.298 340.016i −0.524776 0.745649i
\(457\) −706.736 + 408.034i −1.54647 + 0.892853i −0.548060 + 0.836439i \(0.684633\pi\)
−0.998407 + 0.0564143i \(0.982033\pi\)
\(458\) 28.6213 200.029i 0.0624920 0.436745i
\(459\) 0.692840 30.4913i 0.00150946 0.0664299i
\(460\) 201.132 + 367.161i 0.437244 + 0.798176i
\(461\) 165.248 616.713i 0.358455 1.33777i −0.517626 0.855607i \(-0.673184\pi\)
0.876081 0.482164i \(-0.160149\pi\)
\(462\) −129.181 103.039i −0.279613 0.223027i
\(463\) −38.9927 + 67.5374i −0.0842175 + 0.145869i −0.905058 0.425289i \(-0.860172\pi\)
0.820840 + 0.571158i \(0.193506\pi\)
\(464\) 14.7233 + 4.66253i 0.0317313 + 0.0100486i
\(465\) 61.5244 60.5996i 0.132311 0.130322i
\(466\) −48.3239 + 113.059i −0.103699 + 0.242616i
\(467\) 568.618 + 568.618i 1.21760 + 1.21760i 0.968471 + 0.249126i \(0.0801432\pi\)
0.249126 + 0.968471i \(0.419857\pi\)
\(468\) −797.720 29.9993i −1.70453 0.0641011i
\(469\) 99.0790 + 99.0790i 0.211256 + 0.211256i
\(470\) −184.784 + 74.1217i −0.393157 + 0.157706i
\(471\) −78.9266 21.7902i −0.167572 0.0462638i
\(472\) 105.328 + 147.277i 0.223153 + 0.312028i
\(473\) 135.302 234.349i 0.286050 0.495453i
\(474\) 292.391 669.994i 0.616858 1.41349i
\(475\) −153.242 + 571.906i −0.322614 + 1.20401i
\(476\) −2.20311 + 7.54096i −0.00462839 + 0.0158423i
\(477\) −468.150 133.071i −0.981446 0.278976i
\(478\) 292.840 219.527i 0.612636 0.459263i
\(479\) −701.475 + 404.997i −1.46446 + 0.845504i −0.999213 0.0396781i \(-0.987367\pi\)
−0.465244 + 0.885182i \(0.654033\pi\)
\(480\) −556.088 485.938i −1.15852 1.01237i
\(481\) 563.788 976.509i 1.17212 2.03016i
\(482\) 34.2794 4.12220i 0.0711192 0.00855229i
\(483\) −61.1889 35.9480i −0.126685 0.0744264i
\(484\) −123.174 504.741i −0.254493 1.04285i
\(485\) −695.092 + 695.092i −1.43318 + 1.43318i
\(486\) −484.374 + 39.7172i −0.996655 + 0.0817226i
\(487\) 784.135i 1.61013i 0.593185 + 0.805066i \(0.297870\pi\)
−0.593185 + 0.805066i \(0.702130\pi\)
\(488\) −784.802 + 76.5519i −1.60820 + 0.156869i
\(489\) −175.346 674.799i −0.358580 1.37996i
\(490\) 436.887 556.324i 0.891606 1.13535i
\(491\) 27.9001 + 104.125i 0.0568230 + 0.212066i 0.988500 0.151222i \(-0.0483208\pi\)
−0.931677 + 0.363288i \(0.881654\pi\)
\(492\) −208.799 + 695.091i −0.424388 + 1.41279i
\(493\) 1.05319 + 0.282202i 0.00213629 + 0.000572417i
\(494\) −614.755 + 460.851i −1.24444 + 0.932896i
\(495\) 957.898 533.865i 1.93515 1.07852i
\(496\) 50.4551 + 32.2323i 0.101724 + 0.0649846i
\(497\) −146.047 + 84.3203i −0.293857 + 0.169658i
\(498\) −469.484 + 184.208i −0.942740 + 0.369895i
\(499\) 12.8421 + 47.9274i 0.0257357 + 0.0960469i 0.977599 0.210475i \(-0.0675012\pi\)
−0.951863 + 0.306522i \(0.900835\pi\)
\(500\) −6.33654 + 282.293i −0.0126731 + 0.564586i
\(501\) −33.7859 59.5560i −0.0674370 0.118874i
\(502\) −56.6211 141.155i −0.112791 0.281185i
\(503\) 287.179 0.570933 0.285467 0.958389i \(-0.407851\pi\)
0.285467 + 0.958389i \(0.407851\pi\)
\(504\) 123.171 + 22.3765i 0.244387 + 0.0443978i
\(505\) 91.9086i 0.181997i
\(506\) −160.459 400.019i −0.317112 0.790552i
\(507\) −7.33146 + 968.103i −0.0144605 + 1.90947i
\(508\) 443.209 + 463.563i 0.872458 + 0.912525i
\(509\) 455.382 122.019i 0.894661 0.239724i 0.217939 0.975962i \(-0.430067\pi\)
0.676722 + 0.736239i \(0.263400\pi\)
\(510\) −40.7597 32.5111i −0.0799210 0.0637472i
\(511\) 16.9501 + 29.3584i 0.0331705 + 0.0574529i
\(512\) 242.627 450.862i 0.473880 0.880589i
\(513\) −338.181 + 323.153i −0.659221 + 0.629929i
\(514\) 3.68504 2.76249i 0.00716933 0.00537449i
\(515\) −97.8139 + 365.046i −0.189930 + 0.708828i
\(516\) −6.15259 + 204.917i −0.0119236 + 0.397126i
\(517\) 197.989 53.0510i 0.382957 0.102613i
\(518\) −109.213 + 139.069i −0.210835 + 0.268474i
\(519\) 245.086 + 248.826i 0.472227 + 0.479434i
\(520\) −866.711 + 1054.07i −1.66675 + 2.02706i
\(521\) 588.551 1.12966 0.564828 0.825209i \(-0.308943\pi\)
0.564828 + 0.825209i \(0.308943\pi\)
\(522\) 2.72118 17.1600i 0.00521298 0.0328736i
\(523\) 70.9014 + 70.9014i 0.135567 + 0.135567i 0.771634 0.636067i \(-0.219440\pi\)
−0.636067 + 0.771634i \(0.719440\pi\)
\(524\) −484.359 294.332i −0.924350 0.561701i
\(525\) −87.9628 155.056i −0.167548 0.295345i
\(526\) 43.8398 5.27186i 0.0833456 0.0100226i
\(527\) 3.66065 + 2.11348i 0.00694620 + 0.00401039i
\(528\) 508.680 + 565.059i 0.963409 + 1.07019i
\(529\) 171.948 + 297.822i 0.325043 + 0.562991i
\(530\) −665.705 + 499.046i −1.25605 + 0.941596i
\(531\) 146.201 141.838i 0.275332 0.267115i
\(532\) 105.671 57.8869i 0.198629 0.108810i
\(533\) 1295.44 + 347.113i 2.43048 + 0.651245i
\(534\) −221.970 300.819i −0.415675 0.563331i
\(535\) −290.971 167.992i −0.543871 0.314004i
\(536\) −375.032 524.397i −0.699687 0.978352i
\(537\) −903.422 + 234.753i −1.68235 + 0.437157i
\(538\) 612.883 245.844i 1.13919 0.456959i
\(539\) −514.950 + 514.950i −0.955380 + 0.955380i
\(540\) −447.461 + 700.009i −0.828631 + 1.29631i
\(541\) 51.7287 51.7287i 0.0956168 0.0956168i −0.657680 0.753297i \(-0.728462\pi\)
0.753297 + 0.657680i \(0.228462\pi\)
\(542\) 161.514 377.879i 0.297996 0.697193i
\(543\) 112.639 29.2690i 0.207438 0.0539025i
\(544\) 15.6839 32.5674i 0.0288307 0.0598665i
\(545\) 817.096 + 471.750i 1.49926 + 0.865597i
\(546\) 34.4996 228.744i 0.0631861 0.418944i
\(547\) −229.186 61.4101i −0.418987 0.112267i 0.0431652 0.999068i \(-0.486256\pi\)
−0.462152 + 0.886801i \(0.652922\pi\)
\(548\) 250.985 859.087i 0.458002 1.56768i
\(549\) 216.593 + 860.245i 0.394522 + 1.56693i
\(550\) 153.353 1071.76i 0.278824 1.94865i
\(551\) −8.36109 14.4818i −0.0151744 0.0262828i
\(552\) 250.637 + 209.288i 0.454052 + 0.379145i
\(553\) 183.457 + 105.919i 0.331748 + 0.191535i
\(554\) −259.712 203.955i −0.468794 0.368149i
\(555\) −579.042 1020.70i −1.04332 1.83910i
\(556\) −423.497 257.347i −0.761685 0.462854i
\(557\) 6.12472 + 6.12472i 0.0109959 + 0.0109959i 0.712583 0.701587i \(-0.247525\pi\)
−0.701587 + 0.712583i \(0.747525\pi\)
\(558\) 27.4076 61.5275i 0.0491176 0.110264i
\(559\) 378.832 0.677696
\(560\) 157.961 144.381i 0.282074 0.257824i
\(561\) 37.6667 + 38.2415i 0.0671420 + 0.0681667i
\(562\) 318.963 38.3562i 0.567550 0.0682495i
\(563\) −948.708 + 254.206i −1.68509 + 0.451520i −0.969116 0.246604i \(-0.920685\pi\)
−0.715978 + 0.698123i \(0.754019\pi\)
\(564\) −113.051 + 106.460i −0.200445 + 0.188760i
\(565\) 285.869 1066.88i 0.505963 1.88828i
\(566\) 37.1393 259.559i 0.0656171 0.458586i
\(567\) 4.26547 140.771i 0.00752287 0.248273i
\(568\) 726.457 272.640i 1.27897 0.480001i
\(569\) 146.583 + 253.889i 0.257615 + 0.446202i 0.965603 0.260023i \(-0.0837300\pi\)
−0.707988 + 0.706225i \(0.750397\pi\)
\(570\) 89.4533 + 794.594i 0.156936 + 1.39402i
\(571\) −96.1503 + 25.7634i −0.168389 + 0.0451198i −0.342029 0.939690i \(-0.611114\pi\)
0.173639 + 0.984809i \(0.444447\pi\)
\(572\) 1015.48 970.892i 1.77531 1.69736i
\(573\) 4.97237 656.589i 0.00867778 1.14588i
\(574\) −193.394 82.6608i −0.336923 0.144008i
\(575\) 464.981i 0.808663i
\(576\) −542.201 194.408i −0.941321 0.337513i
\(577\) −571.056 −0.989698 −0.494849 0.868979i \(-0.664777\pi\)
−0.494849 + 0.868979i \(0.664777\pi\)
\(578\) −226.166 + 529.140i −0.391291 + 0.915467i
\(579\) 48.8947 + 86.1888i 0.0844467 + 0.148858i
\(580\) −20.5253 21.4679i −0.0353884 0.0370136i
\(581\) −37.8257 141.167i −0.0651044 0.242973i
\(582\) −306.670 + 702.713i −0.526924 + 1.20741i
\(583\) 741.798 428.277i 1.27238 0.734609i
\(584\) −54.8063 146.033i −0.0938464 0.250056i
\(585\) 1317.76 + 787.660i 2.25259 + 1.34643i
\(586\) −822.819 117.734i −1.40413 0.200911i
\(587\) −589.978 158.084i −1.00507 0.269309i −0.281504 0.959560i \(-0.590833\pi\)
−0.723569 + 0.690252i \(0.757500\pi\)
\(588\) 158.726 528.398i 0.269942 0.898635i
\(589\) −16.7785 62.6182i −0.0284864 0.106313i
\(590\) −41.5745 345.725i −0.0704652 0.585975i
\(591\) 78.3083 + 301.361i 0.132501 + 0.509917i
\(592\) 600.537 548.908i 1.01442 0.927210i
\(593\) 54.2089i 0.0914147i 0.998955 + 0.0457074i \(0.0145542\pi\)
−0.998955 + 0.0457074i \(0.985446\pi\)
\(594\) 543.419 660.520i 0.914847 1.11199i
\(595\) 10.6834 10.6834i 0.0179554 0.0179554i
\(596\) 201.555 331.683i 0.338179 0.556516i
\(597\) −787.994 462.940i −1.31992 0.775445i
\(598\) 372.665 474.544i 0.623185 0.793552i
\(599\) −165.854 + 287.267i −0.276885 + 0.479578i −0.970609 0.240662i \(-0.922635\pi\)
0.693724 + 0.720241i \(0.255969\pi\)
\(600\) 282.383 + 770.094i 0.470638 + 1.28349i
\(601\) 173.739 100.308i 0.289083 0.166902i −0.348445 0.937329i \(-0.613290\pi\)
0.637528 + 0.770427i \(0.279957\pi\)
\(602\) −58.8097 8.41483i −0.0976905 0.0139781i
\(603\) −520.566 + 505.031i −0.863294 + 0.837531i
\(604\) 131.761 + 38.4943i 0.218147 + 0.0637323i
\(605\) −258.607 + 965.136i −0.427450 + 1.59527i
\(606\) 26.1835 + 66.7329i 0.0432070 + 0.110120i
\(607\) 82.2140 142.399i 0.135443 0.234595i −0.790323 0.612690i \(-0.790087\pi\)
0.925767 + 0.378095i \(0.123421\pi\)
\(608\) −523.267 + 183.095i −0.860637 + 0.301143i
\(609\) 4.85329 + 1.33991i 0.00796928 + 0.00220018i
\(610\) 1394.43 + 596.009i 2.28595 + 0.977064i
\(611\) 202.907 + 202.907i 0.332090 + 0.332090i
\(612\) −38.8567 11.9937i −0.0634913 0.0195976i
\(613\) 281.900 + 281.900i 0.459870 + 0.459870i 0.898613 0.438743i \(-0.144576\pi\)
−0.438743 + 0.898613i \(0.644576\pi\)
\(614\) 108.454 + 270.373i 0.176635 + 0.440346i
\(615\) 994.410 979.461i 1.61693 1.59262i
\(616\) −179.208 + 128.164i −0.290923 + 0.208059i
\(617\) 76.6449 132.753i 0.124222 0.215159i −0.797207 0.603707i \(-0.793690\pi\)
0.921429 + 0.388548i \(0.127023\pi\)
\(618\) 32.9759 + 292.918i 0.0533591 + 0.473977i
\(619\) 261.930 977.536i 0.423150 1.57922i −0.344779 0.938684i \(-0.612046\pi\)
0.767930 0.640534i \(-0.221287\pi\)
\(620\) −55.3192 100.984i −0.0892245 0.162877i
\(621\) 190.851 313.874i 0.307329 0.505434i
\(622\) −160.595 214.227i −0.258191 0.344416i
\(623\) 93.8215 54.1679i 0.150596 0.0869468i
\(624\) −329.011 + 1012.25i −0.527261 + 1.62220i
\(625\) −155.691 + 269.664i −0.249105 + 0.431463i
\(626\) 65.4392 + 544.180i 0.104535 + 0.869296i
\(627\) 6.23408 823.196i 0.00994271 1.31291i
\(628\) −56.6942 + 93.2973i −0.0902773 + 0.148563i
\(629\) 40.6163 40.6163i 0.0645728 0.0645728i
\(630\) −187.073 151.547i −0.296941 0.240550i
\(631\) 180.759i 0.286465i −0.989689 0.143232i \(-0.954250\pi\)
0.989689 0.143232i \(-0.0457496\pi\)
\(632\) −752.863 619.043i −1.19124 0.979499i
\(633\) −571.253 157.713i −0.902453 0.249151i
\(634\) −566.239 444.674i −0.893121 0.701378i
\(635\) −319.230 1191.38i −0.502724 1.87619i
\(636\) −341.183 + 551.997i −0.536452 + 0.867919i
\(637\) −984.777 263.870i −1.54596 0.414239i
\(638\) 18.3413 + 24.4665i 0.0287481 + 0.0383488i
\(639\) −424.963 762.499i −0.665044 1.19327i
\(640\) −825.807 + 536.273i −1.29032 + 0.837927i
\(641\) −546.031 + 315.251i −0.851843 + 0.491812i −0.861272 0.508144i \(-0.830332\pi\)
0.00942932 + 0.999956i \(0.496999\pi\)
\(642\) −259.127 39.0821i −0.403624 0.0608755i
\(643\) −202.558 755.957i −0.315020 1.17567i −0.923971 0.382463i \(-0.875076\pi\)
0.608950 0.793208i \(-0.291591\pi\)
\(644\) −68.3931 + 65.3901i −0.106200 + 0.101537i
\(645\) 199.713 339.941i 0.309632 0.527040i
\(646\) −36.3254 + 14.5711i −0.0562313 + 0.0225559i
\(647\) 141.404 0.218553 0.109277 0.994011i \(-0.465147\pi\)
0.109277 + 0.994011i \(0.465147\pi\)
\(648\) −125.469 + 635.737i −0.193625 + 0.981076i
\(649\) 358.496i 0.552383i
\(650\) 1406.74 564.281i 2.16421 0.868125i
\(651\) 16.8293 + 9.88709i 0.0258515 + 0.0151875i
\(652\) −929.377 20.8614i −1.42542 0.0319960i
\(653\) 33.4525 8.96356i 0.0512289 0.0137267i −0.233114 0.972450i \(-0.574891\pi\)
0.284342 + 0.958723i \(0.408225\pi\)
\(654\) 727.671 + 109.749i 1.11265 + 0.167812i
\(655\) 544.999 + 943.966i 0.832060 + 1.44117i
\(656\) 815.498 + 520.966i 1.24314 + 0.794156i
\(657\) −153.278 + 85.4263i −0.233300 + 0.130025i
\(658\) −26.9920 36.0062i −0.0410213 0.0547207i
\(659\) 315.298 1176.71i 0.478449 1.78560i −0.129454 0.991585i \(-0.541323\pi\)
0.607904 0.794011i \(-0.292011\pi\)
\(660\) −335.879 1423.06i −0.508908 2.15616i
\(661\) 312.659 83.7767i 0.473009 0.126742i −0.0144365 0.999896i \(-0.504595\pi\)
0.487446 + 0.873153i \(0.337929\pi\)
\(662\) 418.898 + 328.965i 0.632776 + 0.496926i
\(663\) −19.9981 + 72.4352i −0.0301630 + 0.109254i
\(664\) 65.2819 + 669.263i 0.0983161 + 1.00793i
\(665\) −231.716 −0.348445
\(666\) −711.214 576.150i −1.06789 0.865090i
\(667\) 9.28608 + 9.28608i 0.0139222 + 0.0139222i
\(668\) −88.6931 + 21.6442i −0.132774 + 0.0324015i
\(669\) 283.817 + 2.14935i 0.424240 + 0.00321278i
\(670\) 148.031 + 1230.99i 0.220941 + 1.83731i
\(671\) −1352.06 780.615i −2.01500 1.16336i
\(672\) 73.5601 149.833i 0.109464 0.222966i
\(673\) −578.141 1001.37i −0.859051 1.48792i −0.872835 0.488015i \(-0.837721\pi\)
0.0137844 0.999905i \(-0.495612\pi\)
\(674\) −133.069 177.508i −0.197432 0.263365i
\(675\) 809.412 443.109i 1.19913 0.656458i
\(676\) 1239.04 + 361.991i 1.83291 + 0.535489i
\(677\) 288.831 + 77.3920i 0.426634 + 0.114316i 0.465745 0.884919i \(-0.345786\pi\)
−0.0391119 + 0.999235i \(0.512453\pi\)
\(678\) −96.3749 856.077i −0.142146 1.26265i
\(679\) −192.416 111.091i −0.283381 0.163610i
\(680\) −56.5444 + 40.4388i −0.0831536 + 0.0594689i
\(681\) −684.515 694.962i −1.00516 1.02050i
\(682\) 44.1323 + 110.021i 0.0647102 + 0.161321i
\(683\) −473.690 + 473.690i −0.693542 + 0.693542i −0.963010 0.269467i \(-0.913152\pi\)
0.269467 + 0.963010i \(0.413152\pi\)
\(684\) 291.319 + 551.454i 0.425904 + 0.806219i
\(685\) −1217.09 + 1217.09i −1.77677 + 1.77677i
\(686\) 303.697 + 129.807i 0.442706 + 0.189223i
\(687\) −80.6628 + 292.169i −0.117413 + 0.425283i
\(688\) 260.591 + 82.5231i 0.378767 + 0.119946i
\(689\) 1038.48 + 599.569i 1.50723 + 0.870202i
\(690\) −229.366 584.576i −0.332414 0.847212i
\(691\) 179.816 + 48.1817i 0.260226 + 0.0697275i 0.386573 0.922259i \(-0.373659\pi\)
−0.126347 + 0.991986i \(0.540325\pi\)
\(692\) 408.413 223.730i 0.590192 0.323309i
\(693\) 172.590 + 177.899i 0.249048 + 0.256709i
\(694\) −54.4327 7.78854i −0.0784333 0.0112227i
\(695\) 476.517 + 825.351i 0.685636 + 1.18756i
\(696\) −21.0189 9.74002i −0.0301995 0.0139943i
\(697\) 59.1665 + 34.1598i 0.0848874 + 0.0490097i
\(698\) 89.4039 113.845i 0.128086 0.163102i
\(699\) 93.4219 159.018i 0.133651 0.227494i
\(700\) −230.915 + 56.3514i −0.329879 + 0.0805020i
\(701\) 749.244 + 749.244i 1.06882 + 1.06882i 0.997450 + 0.0713720i \(0.0227377\pi\)
0.0713720 + 0.997450i \(0.477262\pi\)
\(702\) 1181.19 + 196.491i 1.68261 + 0.279901i
\(703\) −880.937 −1.25311
\(704\) 910.023 446.650i 1.29265 0.634446i
\(705\) 289.044 75.1078i 0.409992 0.106536i
\(706\) −30.6813 255.139i −0.0434579 0.361387i
\(707\) −20.0656 + 5.37657i −0.0283814 + 0.00760477i
\(708\) −128.679 239.180i −0.181749 0.337825i
\(709\) −203.623 + 759.932i −0.287198 + 1.07184i 0.660021 + 0.751247i \(0.270547\pi\)
−0.947218 + 0.320589i \(0.896119\pi\)
\(710\) −1477.20 211.366i −2.08056 0.297698i
\(711\) −562.582 + 941.206i −0.791254 + 1.32378i
\(712\) −466.681 + 175.146i −0.655450 + 0.245991i
\(713\) 25.4555 + 44.0902i 0.0357019 + 0.0618376i
\(714\) 4.71346 10.8006i 0.00660149 0.0151269i
\(715\) −2609.84 + 699.303i −3.65012 + 0.978046i
\(716\) −27.9293 + 1244.25i −0.0390074 + 1.73778i
\(717\) −477.498 + 270.883i −0.665967 + 0.377801i
\(718\) −3.74465 + 8.76102i −0.00521539 + 0.0122020i
\(719\) 156.039i 0.217022i −0.994095 0.108511i \(-0.965392\pi\)
0.994095 0.108511i \(-0.0346082\pi\)
\(720\) 734.884 + 828.872i 1.02067 + 1.15121i
\(721\) −85.4195 −0.118474
\(722\) −111.944 47.8476i −0.155048 0.0662709i
\(723\) −51.7881 0.392193i −0.0716295 0.000542452i
\(724\) 3.48223 155.133i 0.00480971 0.214273i
\(725\) 8.53811 + 31.8647i 0.0117767 + 0.0439513i
\(726\) 87.1842 + 774.438i 0.120088 + 1.06672i
\(727\) −187.077 + 108.009i −0.257327 + 0.148568i −0.623115 0.782130i \(-0.714133\pi\)
0.365787 + 0.930698i \(0.380800\pi\)
\(728\) −280.828 127.560i −0.385753 0.175219i
\(729\) 728.248 + 33.1124i 0.998968 + 0.0454216i
\(730\) −42.4889 + 296.947i −0.0582039 + 0.406776i
\(731\) 18.6406 + 4.99474i 0.0255002 + 0.00683276i
\(732\) 1182.26 + 35.4971i 1.61511 + 0.0484932i
\(733\) −145.404 542.654i −0.198368 0.740320i −0.991369 0.131100i \(-0.958149\pi\)
0.793001 0.609220i \(-0.208517\pi\)
\(734\) −291.932 + 35.1057i −0.397728 + 0.0478280i
\(735\) −755.935 + 744.571i −1.02848 + 1.01302i
\(736\) 359.722 245.250i 0.488752 0.333220i
\(737\) 1276.47i 1.73198i
\(738\) 442.985 994.459i 0.600251 1.34751i
\(739\) −1018.28 + 1018.28i −1.37791 + 1.37791i −0.529773 + 0.848139i \(0.677723\pi\)
−0.848139 + 0.529773i \(0.822277\pi\)
\(740\) −1520.07 + 370.950i −2.05415 + 0.501284i
\(741\) 1002.40 568.661i 1.35277 0.767424i
\(742\) −147.896 116.144i −0.199320 0.156528i
\(743\) 220.697 382.258i 0.297035 0.514479i −0.678422 0.734673i \(-0.737336\pi\)
0.975456 + 0.220194i \(0.0706690\pi\)
\(744\) −68.9349 57.5623i −0.0926544 0.0773687i
\(745\) −646.417 + 373.209i −0.867674 + 0.500952i
\(746\) 182.376 1274.59i 0.244472 1.70857i
\(747\) 733.599 184.706i 0.982060 0.247263i
\(748\) 62.7680 34.3846i 0.0839144 0.0459687i
\(749\) 19.6548 73.3527i 0.0262414 0.0979342i
\(750\) 63.1658 418.809i 0.0842210 0.558413i
\(751\) −231.066 + 400.219i −0.307678 + 0.532915i −0.977854 0.209288i \(-0.932885\pi\)
0.670176 + 0.742202i \(0.266219\pi\)
\(752\) 95.3753 + 183.776i 0.126829 + 0.244383i
\(753\) 57.3743 + 220.799i 0.0761943 + 0.293226i
\(754\) −16.8246 + 39.3630i −0.0223138 + 0.0522055i
\(755\) −186.669 186.669i −0.247243 0.247243i
\(756\) −179.003 56.7404i −0.236777 0.0750535i
\(757\) 860.683 + 860.683i 1.13697 + 1.13697i 0.988991 + 0.147974i \(0.0472751\pi\)
0.147974 + 0.988991i \(0.452725\pi\)
\(758\) −636.206 + 255.200i −0.839322 + 0.336675i
\(759\) 162.593 + 625.723i 0.214220 + 0.824404i
\(760\) 1051.75 + 174.659i 1.38388 + 0.229815i
\(761\) −494.494 + 856.489i −0.649795 + 1.12548i 0.333377 + 0.942794i \(0.391812\pi\)
−0.983172 + 0.182684i \(0.941521\pi\)
\(762\) −571.193 774.092i −0.749597 1.01587i
\(763\) −55.1939 + 205.987i −0.0723381 + 0.269969i
\(764\) −840.349 245.510i −1.09993 0.321349i
\(765\) 54.4563 + 56.1314i 0.0711847 + 0.0733743i
\(766\) −338.461 + 253.727i −0.441855 + 0.331236i
\(767\) −434.640 + 250.940i −0.566675 + 0.327170i
\(768\) −446.824 + 624.637i −0.581803 + 0.813330i
\(769\) −341.309 + 591.165i −0.443835 + 0.768746i −0.997970 0.0636814i \(-0.979716\pi\)
0.554135 + 0.832427i \(0.313049\pi\)
\(770\) 420.683 50.5883i 0.546341 0.0656991i
\(771\) −6.00873 + 3.40873i −0.00779343 + 0.00442119i
\(772\) 128.356 31.3233i 0.166264 0.0405742i
\(773\) 510.754 510.754i 0.660742 0.660742i −0.294813 0.955555i \(-0.595257\pi\)