Properties

Label 144.3.w.a.5.2
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 5.2
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.99458 + 0.147176i) q^{2} +(-2.86084 + 0.903108i) q^{3} +(3.95668 - 0.587107i) q^{4} +(-0.0992523 - 0.370415i) q^{5} +(5.57325 - 2.22237i) q^{6} +(3.11010 - 1.79562i) q^{7} +(-7.80549 + 1.75336i) q^{8} +(7.36879 - 5.16729i) q^{9} +O(q^{10})\) \(q+(-1.99458 + 0.147176i) q^{2} +(-2.86084 + 0.903108i) q^{3} +(3.95668 - 0.587107i) q^{4} +(-0.0992523 - 0.370415i) q^{5} +(5.57325 - 2.22237i) q^{6} +(3.11010 - 1.79562i) q^{7} +(-7.80549 + 1.75336i) q^{8} +(7.36879 - 5.16729i) q^{9} +(0.252482 + 0.724213i) q^{10} +(-6.39886 - 1.71457i) q^{11} +(-10.7892 + 5.25293i) q^{12} +(4.35132 + 16.2393i) q^{13} +(-5.93907 + 4.03923i) q^{14} +(0.618469 + 0.970060i) q^{15} +(15.3106 - 4.64599i) q^{16} +24.3572i q^{17} +(-13.9371 + 11.3911i) q^{18} +(-16.6582 + 16.6582i) q^{19} +(-0.610182 - 1.40734i) q^{20} +(-7.27586 + 7.94573i) q^{21} +(13.0154 + 2.47808i) q^{22} +(-12.0564 + 20.8824i) q^{23} +(20.7468 - 12.0653i) q^{24} +(21.5233 - 12.4265i) q^{25} +(-11.0691 - 31.7502i) q^{26} +(-16.4143 + 21.4376i) q^{27} +(11.2515 - 8.93065i) q^{28} +(-3.62146 + 13.5155i) q^{29} +(-1.37635 - 1.84384i) q^{30} +(-4.04605 + 7.00797i) q^{31} +(-29.8544 + 11.5201i) q^{32} +(19.8545 - 0.873759i) q^{33} +(-3.58480 - 48.5824i) q^{34} +(-0.973808 - 0.973808i) q^{35} +(26.1222 - 24.7716i) q^{36} +(23.2472 + 23.2472i) q^{37} +(30.7744 - 35.6778i) q^{38} +(-27.1143 - 42.5284i) q^{39} +(1.42418 + 2.71724i) q^{40} +(25.7565 - 44.6115i) q^{41} +(13.3428 - 16.9192i) q^{42} +(2.25526 - 8.41674i) q^{43} +(-26.3249 - 3.02718i) q^{44} +(-2.64541 - 2.21664i) q^{45} +(20.9741 - 43.4259i) q^{46} +(6.02413 - 3.47803i) q^{47} +(-39.6053 + 27.1186i) q^{48} +(-18.0515 + 31.2661i) q^{49} +(-41.1010 + 27.9533i) q^{50} +(-21.9972 - 69.6821i) q^{51} +(26.7510 + 61.6992i) q^{52} +(12.8444 - 12.8444i) q^{53} +(29.5845 - 45.1748i) q^{54} +2.54041i q^{55} +(-21.1275 + 19.4688i) q^{56} +(32.6123 - 62.7006i) q^{57} +(5.23413 - 27.4906i) q^{58} +(20.9700 + 78.2612i) q^{59} +(3.01661 + 3.47511i) q^{60} +(-71.0232 - 19.0306i) q^{61} +(7.03876 - 14.5734i) q^{62} +(13.6392 - 29.3023i) q^{63} +(57.8515 - 27.3717i) q^{64} +(5.58341 - 3.22358i) q^{65} +(-39.4728 + 4.66489i) q^{66} +(3.25953 + 12.1647i) q^{67} +(14.3003 + 96.3738i) q^{68} +(15.6325 - 70.6293i) q^{69} +(2.08566 + 1.79901i) q^{70} +79.2346 q^{71} +(-48.4569 + 53.2534i) q^{72} +88.5296i q^{73} +(-49.7897 - 42.9469i) q^{74} +(-50.3522 + 54.9880i) q^{75} +(-56.1310 + 75.6913i) q^{76} +(-22.9798 + 6.15742i) q^{77} +(60.3408 + 80.8357i) q^{78} +(-57.3999 - 99.4195i) q^{79} +(-3.24056 - 5.21015i) q^{80} +(27.5981 - 76.1534i) q^{81} +(-44.8076 + 92.7719i) q^{82} +(-4.32178 + 16.1291i) q^{83} +(-24.1232 + 35.7104i) q^{84} +(9.02227 - 2.41751i) q^{85} +(-3.25955 + 17.1198i) q^{86} +(-1.84553 - 41.9361i) q^{87} +(52.9525 + 2.16356i) q^{88} +95.2289 q^{89} +(5.60271 + 4.03192i) q^{90} +(42.6927 + 42.6927i) q^{91} +(-35.4433 + 89.7032i) q^{92} +(5.24615 - 23.7027i) q^{93} +(-11.5037 + 7.82381i) q^{94} +(7.82380 + 4.51708i) q^{95} +(75.0047 - 59.9190i) q^{96} +(32.5843 + 56.4377i) q^{97} +(31.4035 - 65.0195i) q^{98} +(-56.0115 + 20.4305i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.99458 + 0.147176i −0.997289 + 0.0735880i
\(3\) −2.86084 + 0.903108i −0.953613 + 0.301036i
\(4\) 3.95668 0.587107i 0.989170 0.146777i
\(5\) −0.0992523 0.370415i −0.0198505 0.0740829i 0.955290 0.295670i \(-0.0955429\pi\)
−0.975141 + 0.221587i \(0.928876\pi\)
\(6\) 5.57325 2.22237i 0.928875 0.370394i
\(7\) 3.11010 1.79562i 0.444300 0.256517i −0.261120 0.965306i \(-0.584092\pi\)
0.705420 + 0.708790i \(0.250758\pi\)
\(8\) −7.80549 + 1.75336i −0.975687 + 0.219170i
\(9\) 7.36879 5.16729i 0.818754 0.574144i
\(10\) 0.252482 + 0.724213i 0.0252482 + 0.0724213i
\(11\) −6.39886 1.71457i −0.581715 0.155870i −0.0440508 0.999029i \(-0.514026\pi\)
−0.537664 + 0.843159i \(0.680693\pi\)
\(12\) −10.7892 + 5.25293i −0.899100 + 0.437744i
\(13\) 4.35132 + 16.2393i 0.334717 + 1.24918i 0.904176 + 0.427161i \(0.140486\pi\)
−0.569459 + 0.822020i \(0.692847\pi\)
\(14\) −5.93907 + 4.03923i −0.424219 + 0.288517i
\(15\) 0.618469 + 0.970060i 0.0412313 + 0.0646707i
\(16\) 15.3106 4.64599i 0.956913 0.290374i
\(17\) 24.3572i 1.43278i 0.697701 + 0.716389i \(0.254207\pi\)
−0.697701 + 0.716389i \(0.745793\pi\)
\(18\) −13.9371 + 11.3911i −0.774285 + 0.632838i
\(19\) −16.6582 + 16.6582i −0.876747 + 0.876747i −0.993197 0.116449i \(-0.962849\pi\)
0.116449 + 0.993197i \(0.462849\pi\)
\(20\) −0.610182 1.40734i −0.0305091 0.0703670i
\(21\) −7.27586 + 7.94573i −0.346470 + 0.378368i
\(22\) 13.0154 + 2.47808i 0.591607 + 0.112640i
\(23\) −12.0564 + 20.8824i −0.524193 + 0.907929i 0.475410 + 0.879764i \(0.342300\pi\)
−0.999603 + 0.0281647i \(0.991034\pi\)
\(24\) 20.7468 12.0653i 0.864449 0.502720i
\(25\) 21.5233 12.4265i 0.860931 0.497059i
\(26\) −11.0691 31.7502i −0.425734 1.22116i
\(27\) −16.4143 + 21.4376i −0.607937 + 0.793986i
\(28\) 11.2515 8.93065i 0.401838 0.318952i
\(29\) −3.62146 + 13.5155i −0.124878 + 0.466050i −0.999835 0.0181494i \(-0.994223\pi\)
0.874957 + 0.484200i \(0.160889\pi\)
\(30\) −1.37635 1.84384i −0.0458785 0.0614612i
\(31\) −4.04605 + 7.00797i −0.130518 + 0.226063i −0.923876 0.382691i \(-0.874997\pi\)
0.793358 + 0.608755i \(0.208331\pi\)
\(32\) −29.8544 + 11.5201i −0.932951 + 0.360004i
\(33\) 19.8545 0.873759i 0.601653 0.0264776i
\(34\) −3.58480 48.5824i −0.105435 1.42889i
\(35\) −0.973808 0.973808i −0.0278231 0.0278231i
\(36\) 26.1222 24.7716i 0.725616 0.688100i
\(37\) 23.2472 + 23.2472i 0.628302 + 0.628302i 0.947641 0.319338i \(-0.103461\pi\)
−0.319338 + 0.947641i \(0.603461\pi\)
\(38\) 30.7744 35.6778i 0.809852 0.938888i
\(39\) −27.1143 42.5284i −0.695239 1.09047i
\(40\) 1.42418 + 2.71724i 0.0356046 + 0.0679311i
\(41\) 25.7565 44.6115i 0.628207 1.08809i −0.359704 0.933066i \(-0.617122\pi\)
0.987911 0.155020i \(-0.0495442\pi\)
\(42\) 13.3428 16.9192i 0.317687 0.402838i
\(43\) 2.25526 8.41674i 0.0524479 0.195738i −0.934731 0.355356i \(-0.884360\pi\)
0.987179 + 0.159618i \(0.0510263\pi\)
\(44\) −26.3249 3.02718i −0.598292 0.0687996i
\(45\) −2.64541 2.21664i −0.0587869 0.0492587i
\(46\) 20.9741 43.4259i 0.455959 0.944042i
\(47\) 6.02413 3.47803i 0.128173 0.0740006i −0.434543 0.900651i \(-0.643090\pi\)
0.562716 + 0.826651i \(0.309757\pi\)
\(48\) −39.6053 + 27.1186i −0.825111 + 0.564970i
\(49\) −18.0515 + 31.2661i −0.368398 + 0.638084i
\(50\) −41.1010 + 27.9533i −0.822019 + 0.559065i
\(51\) −21.9972 69.6821i −0.431318 1.36632i
\(52\) 26.7510 + 61.6992i 0.514443 + 1.18652i
\(53\) 12.8444 12.8444i 0.242346 0.242346i −0.575474 0.817820i \(-0.695182\pi\)
0.817820 + 0.575474i \(0.195182\pi\)
\(54\) 29.5845 45.1748i 0.547861 0.836570i
\(55\) 2.54041i 0.0461892i
\(56\) −21.1275 + 19.4688i −0.377277 + 0.347657i
\(57\) 32.6123 62.7006i 0.572145 1.10001i
\(58\) 5.23413 27.4906i 0.0902436 0.473976i
\(59\) 20.9700 + 78.2612i 0.355424 + 1.32646i 0.879950 + 0.475067i \(0.157576\pi\)
−0.524526 + 0.851395i \(0.675757\pi\)
\(60\) 3.01661 + 3.47511i 0.0502769 + 0.0579185i
\(61\) −71.0232 19.0306i −1.16431 0.311977i −0.375627 0.926771i \(-0.622573\pi\)
−0.788688 + 0.614794i \(0.789239\pi\)
\(62\) 7.03876 14.5734i 0.113528 0.235055i
\(63\) 13.6392 29.3023i 0.216495 0.465117i
\(64\) 57.8515 27.3717i 0.903929 0.427682i
\(65\) 5.58341 3.22358i 0.0858986 0.0495936i
\(66\) −39.4728 + 4.66489i −0.598073 + 0.0706802i
\(67\) 3.25953 + 12.1647i 0.0486498 + 0.181563i 0.985975 0.166892i \(-0.0533730\pi\)
−0.937325 + 0.348455i \(0.886706\pi\)
\(68\) 14.3003 + 96.3738i 0.210299 + 1.41726i
\(69\) 15.6325 70.6293i 0.226558 1.02361i
\(70\) 2.08566 + 1.79901i 0.0297951 + 0.0257002i
\(71\) 79.2346 1.11598 0.557990 0.829847i \(-0.311573\pi\)
0.557990 + 0.829847i \(0.311573\pi\)
\(72\) −48.4569 + 53.2534i −0.673013 + 0.739631i
\(73\) 88.5296i 1.21273i 0.795185 + 0.606367i \(0.207374\pi\)
−0.795185 + 0.606367i \(0.792626\pi\)
\(74\) −49.7897 42.9469i −0.672834 0.580363i
\(75\) −50.3522 + 54.9880i −0.671362 + 0.733173i
\(76\) −56.1310 + 75.6913i −0.738566 + 0.995938i
\(77\) −22.9798 + 6.15742i −0.298439 + 0.0799665i
\(78\) 60.3408 + 80.8357i 0.773599 + 1.03635i
\(79\) −57.3999 99.4195i −0.726581 1.25848i −0.958320 0.285697i \(-0.907775\pi\)
0.231739 0.972778i \(-0.425558\pi\)
\(80\) −3.24056 5.21015i −0.0405069 0.0651268i
\(81\) 27.5981 76.1534i 0.340718 0.940166i
\(82\) −44.8076 + 92.7719i −0.546434 + 1.13136i
\(83\) −4.32178 + 16.1291i −0.0520697 + 0.194327i −0.987061 0.160343i \(-0.948740\pi\)
0.934992 + 0.354670i \(0.115407\pi\)
\(84\) −24.1232 + 35.7104i −0.287181 + 0.425124i
\(85\) 9.02227 2.41751i 0.106144 0.0284413i
\(86\) −3.25955 + 17.1198i −0.0379017 + 0.199067i
\(87\) −1.84553 41.9361i −0.0212129 0.482024i
\(88\) 52.9525 + 2.16356i 0.601733 + 0.0245859i
\(89\) 95.2289 1.06999 0.534994 0.844856i \(-0.320314\pi\)
0.534994 + 0.844856i \(0.320314\pi\)
\(90\) 5.60271 + 4.03192i 0.0622523 + 0.0447991i
\(91\) 42.6927 + 42.6927i 0.469151 + 0.469151i
\(92\) −35.4433 + 89.7032i −0.385253 + 0.975035i
\(93\) 5.24615 23.7027i 0.0564102 0.254868i
\(94\) −11.5037 + 7.82381i −0.122380 + 0.0832320i
\(95\) 7.82380 + 4.51708i 0.0823558 + 0.0475482i
\(96\) 75.0047 59.9190i 0.781299 0.624157i
\(97\) 32.5843 + 56.4377i 0.335921 + 0.581832i 0.983661 0.180029i \(-0.0576193\pi\)
−0.647741 + 0.761861i \(0.724286\pi\)
\(98\) 31.4035 65.0195i 0.320444 0.663464i
\(99\) −56.0115 + 20.4305i −0.565773 + 0.206369i
\(100\) 77.8650 61.8040i 0.778650 0.618040i
\(101\) −127.848 34.2567i −1.26582 0.339176i −0.437392 0.899271i \(-0.644098\pi\)
−0.828428 + 0.560095i \(0.810764\pi\)
\(102\) 54.1307 + 135.749i 0.530693 + 1.33087i
\(103\) −96.1033 55.4853i −0.933042 0.538692i −0.0452697 0.998975i \(-0.514415\pi\)
−0.887772 + 0.460283i \(0.847748\pi\)
\(104\) −62.4376 119.127i −0.600362 1.14545i
\(105\) 3.66536 + 1.90645i 0.0349082 + 0.0181567i
\(106\) −23.7287 + 27.5095i −0.223856 + 0.259523i
\(107\) 53.3528 53.3528i 0.498625 0.498625i −0.412385 0.911010i \(-0.635304\pi\)
0.911010 + 0.412385i \(0.135304\pi\)
\(108\) −52.3599 + 94.4587i −0.484814 + 0.874617i
\(109\) −64.1974 + 64.1974i −0.588967 + 0.588967i −0.937352 0.348385i \(-0.886730\pi\)
0.348385 + 0.937352i \(0.386730\pi\)
\(110\) −0.373886 5.06704i −0.00339897 0.0460640i
\(111\) −87.5012 45.5117i −0.788299 0.410015i
\(112\) 39.2751 41.9415i 0.350671 0.374478i
\(113\) 124.049 + 71.6198i 1.09778 + 0.633804i 0.935637 0.352964i \(-0.114826\pi\)
0.162143 + 0.986767i \(0.448159\pi\)
\(114\) −55.8197 + 129.861i −0.489646 + 1.13913i
\(115\) 8.93176 + 2.39326i 0.0776675 + 0.0208109i
\(116\) −6.39391 + 55.6025i −0.0551199 + 0.479332i
\(117\) 115.977 + 97.1798i 0.991260 + 0.830596i
\(118\) −53.3445 153.012i −0.452072 1.29671i
\(119\) 43.7363 + 75.7535i 0.367532 + 0.636584i
\(120\) −6.52832 6.48740i −0.0544027 0.0540617i
\(121\) −66.7834 38.5574i −0.551929 0.318656i
\(122\) 144.462 + 27.5051i 1.18412 + 0.225452i
\(123\) −33.3961 + 150.887i −0.271513 + 1.22673i
\(124\) −11.8945 + 30.1037i −0.0959234 + 0.242772i
\(125\) −13.5182 13.5182i −0.108146 0.108146i
\(126\) −22.8918 + 60.4532i −0.181681 + 0.479787i
\(127\) −145.624 −1.14664 −0.573322 0.819330i \(-0.694346\pi\)
−0.573322 + 0.819330i \(0.694346\pi\)
\(128\) −111.361 + 63.1092i −0.870006 + 0.493041i
\(129\) 1.14930 + 26.1157i 0.00890929 + 0.202447i
\(130\) −10.6621 + 7.25143i −0.0820162 + 0.0557802i
\(131\) 156.168 41.8452i 1.19212 0.319429i 0.392399 0.919795i \(-0.371645\pi\)
0.799725 + 0.600366i \(0.204979\pi\)
\(132\) 78.0451 15.1139i 0.591250 0.114500i
\(133\) −21.8969 + 81.7205i −0.164639 + 0.614440i
\(134\) −8.29175 23.7838i −0.0618787 0.177491i
\(135\) 9.56996 + 3.95236i 0.0708886 + 0.0292767i
\(136\) −42.7070 190.120i −0.314022 1.39794i
\(137\) −101.494 175.792i −0.740830 1.28316i −0.952118 0.305732i \(-0.901099\pi\)
0.211287 0.977424i \(-0.432234\pi\)
\(138\) −20.7853 + 143.176i −0.150618 + 1.03751i
\(139\) 41.3576 11.0817i 0.297536 0.0797247i −0.106963 0.994263i \(-0.534113\pi\)
0.404499 + 0.914538i \(0.367446\pi\)
\(140\) −4.42477 3.28131i −0.0316055 0.0234380i
\(141\) −14.0930 + 15.3905i −0.0999504 + 0.109153i
\(142\) −158.040 + 11.6614i −1.11296 + 0.0821227i
\(143\) 111.374i 0.778839i
\(144\) 88.8135 113.350i 0.616760 0.787151i
\(145\) 5.36576 0.0370052
\(146\) −13.0294 176.579i −0.0892427 1.20945i
\(147\) 23.4057 105.750i 0.159223 0.719387i
\(148\) 105.630 + 78.3330i 0.713718 + 0.529277i
\(149\) −67.0629 250.282i −0.450087 1.67975i −0.702145 0.712034i \(-0.747774\pi\)
0.252058 0.967712i \(-0.418893\pi\)
\(150\) 92.3384 117.088i 0.615589 0.780589i
\(151\) 248.718 143.597i 1.64714 0.950975i 0.668936 0.743320i \(-0.266750\pi\)
0.978202 0.207655i \(-0.0665831\pi\)
\(152\) 100.818 159.233i 0.663274 1.04759i
\(153\) 125.861 + 179.483i 0.822621 + 1.17309i
\(154\) 44.9288 15.6635i 0.291745 0.101711i
\(155\) 2.99743 + 0.803160i 0.0193383 + 0.00518168i
\(156\) −132.251 152.352i −0.847765 0.976617i
\(157\) −80.1572 299.151i −0.510555 1.90542i −0.414518 0.910041i \(-0.636050\pi\)
−0.0960379 0.995378i \(-0.530617\pi\)
\(158\) 129.121 + 189.852i 0.817220 + 1.20160i
\(159\) −25.1458 + 48.3455i −0.158150 + 0.304060i
\(160\) 7.23035 + 9.91511i 0.0451897 + 0.0619694i
\(161\) 86.5950i 0.537857i
\(162\) −43.8387 + 155.956i −0.270609 + 0.962689i
\(163\) 4.21083 4.21083i 0.0258333 0.0258333i −0.694072 0.719905i \(-0.744185\pi\)
0.719905 + 0.694072i \(0.244185\pi\)
\(164\) 75.7184 191.635i 0.461697 1.16851i
\(165\) −2.29426 7.26769i −0.0139046 0.0440466i
\(166\) 6.24632 32.8068i 0.0376284 0.197632i
\(167\) −76.5369 + 132.566i −0.458305 + 0.793807i −0.998872 0.0474942i \(-0.984876\pi\)
0.540567 + 0.841301i \(0.318210\pi\)
\(168\) 42.8600 74.7776i 0.255119 0.445105i
\(169\) −98.4241 + 56.8252i −0.582391 + 0.336244i
\(170\) −17.6398 + 6.14977i −0.103764 + 0.0361751i
\(171\) −36.6730 + 208.829i −0.214462 + 1.22122i
\(172\) 3.98180 34.6264i 0.0231500 0.201316i
\(173\) −5.37712 + 20.0677i −0.0310816 + 0.115998i −0.979724 0.200353i \(-0.935791\pi\)
0.948642 + 0.316351i \(0.102458\pi\)
\(174\) 9.85303 + 83.3732i 0.0566266 + 0.479156i
\(175\) 44.6264 77.2952i 0.255008 0.441687i
\(176\) −105.936 + 3.47794i −0.601911 + 0.0197610i
\(177\) −130.670 204.954i −0.738250 1.15793i
\(178\) −189.941 + 14.0154i −1.06709 + 0.0787382i
\(179\) 104.907 + 104.907i 0.586071 + 0.586071i 0.936565 0.350494i \(-0.113986\pi\)
−0.350494 + 0.936565i \(0.613986\pi\)
\(180\) −11.7684 7.21740i −0.0653802 0.0400966i
\(181\) 178.510 + 178.510i 0.986241 + 0.986241i 0.999907 0.0136654i \(-0.00434995\pi\)
−0.0136654 + 0.999907i \(0.504350\pi\)
\(182\) −91.4373 78.8706i −0.502403 0.433355i
\(183\) 220.373 9.69816i 1.20422 0.0529954i
\(184\) 57.4922 184.136i 0.312457 1.00074i
\(185\) 6.30376 10.9184i 0.0340744 0.0590185i
\(186\) −6.97538 + 48.0490i −0.0375020 + 0.258328i
\(187\) 41.7622 155.859i 0.223327 0.833468i
\(188\) 21.7936 17.2983i 0.115923 0.0920120i
\(189\) −12.5563 + 96.1469i −0.0664357 + 0.508714i
\(190\) −16.2700 7.85818i −0.0856315 0.0413588i
\(191\) −78.4442 + 45.2898i −0.410703 + 0.237119i −0.691092 0.722767i \(-0.742870\pi\)
0.280389 + 0.959887i \(0.409537\pi\)
\(192\) −140.784 + 130.552i −0.733250 + 0.679959i
\(193\) −141.170 + 244.514i −0.731451 + 1.26691i 0.224812 + 0.974402i \(0.427823\pi\)
−0.956263 + 0.292508i \(0.905510\pi\)
\(194\) −73.2982 107.774i −0.377826 0.555534i
\(195\) −13.0620 + 14.2646i −0.0669846 + 0.0731517i
\(196\) −53.0674 + 134.308i −0.270752 + 0.685246i
\(197\) −137.726 + 137.726i −0.699116 + 0.699116i −0.964220 0.265104i \(-0.914594\pi\)
0.265104 + 0.964220i \(0.414594\pi\)
\(198\) 108.712 48.9937i 0.549053 0.247443i
\(199\) 206.381i 1.03709i −0.855050 0.518545i \(-0.826474\pi\)
0.855050 0.518545i \(-0.173526\pi\)
\(200\) −146.212 + 134.733i −0.731059 + 0.673664i
\(201\) −20.3111 31.8577i −0.101050 0.158496i
\(202\) 260.044 + 49.5116i 1.28735 + 0.245107i
\(203\) 13.0055 + 48.5372i 0.0640665 + 0.239100i
\(204\) −127.947 262.795i −0.627190 1.28821i
\(205\) −19.0812 5.11278i −0.0930788 0.0249404i
\(206\) 199.852 + 96.5256i 0.970154 + 0.468571i
\(207\) 19.0640 + 216.177i 0.0920964 + 1.04433i
\(208\) 142.069 + 228.418i 0.683025 + 1.09816i
\(209\) 135.155 78.0319i 0.646675 0.373358i
\(210\) −7.59143 3.26311i −0.0361497 0.0155386i
\(211\) 81.2026 + 303.052i 0.384847 + 1.43627i 0.838409 + 0.545042i \(0.183486\pi\)
−0.453562 + 0.891225i \(0.649847\pi\)
\(212\) 43.2800 58.3620i 0.204151 0.275293i
\(213\) −226.677 + 71.5575i −1.06421 + 0.335951i
\(214\) −98.5641 + 114.269i −0.460580 + 0.533966i
\(215\) −3.34152 −0.0155420
\(216\) 90.5338 196.111i 0.419138 0.907923i
\(217\) 29.0607i 0.133920i
\(218\) 118.598 137.495i 0.544029 0.630711i
\(219\) −79.9519 253.269i −0.365077 1.15648i
\(220\) 1.49149 + 10.0516i 0.00677950 + 0.0456889i
\(221\) −395.546 + 105.986i −1.78980 + 0.479575i
\(222\) 181.226 + 77.8986i 0.816334 + 0.350894i
\(223\) 138.941 + 240.652i 0.623052 + 1.07916i 0.988914 + 0.148488i \(0.0474407\pi\)
−0.365862 + 0.930669i \(0.619226\pi\)
\(224\) −72.1645 + 89.4359i −0.322163 + 0.399268i
\(225\) 94.3893 202.785i 0.419508 0.901267i
\(226\) −257.966 124.594i −1.14144 0.551302i
\(227\) 26.2636 98.0172i 0.115699 0.431794i −0.883639 0.468168i \(-0.844914\pi\)
0.999338 + 0.0363741i \(0.0115808\pi\)
\(228\) 92.2242 267.233i 0.404492 1.17207i
\(229\) −27.1599 + 7.27747i −0.118602 + 0.0317794i −0.317632 0.948214i \(-0.602888\pi\)
0.199030 + 0.979993i \(0.436221\pi\)
\(230\) −18.1673 3.45900i −0.0789883 0.0150391i
\(231\) 60.1807 38.3687i 0.260523 0.166098i
\(232\) 4.56980 111.845i 0.0196974 0.482089i
\(233\) −276.964 −1.18869 −0.594343 0.804212i \(-0.702588\pi\)
−0.594343 + 0.804212i \(0.702588\pi\)
\(234\) −245.629 176.764i −1.04969 0.755400i
\(235\) −1.88622 1.88622i −0.00802647 0.00802647i
\(236\) 128.919 + 297.343i 0.546269 + 1.25993i
\(237\) 253.998 + 232.585i 1.07172 + 0.981371i
\(238\) −98.3845 144.659i −0.413380 0.607812i
\(239\) 254.577 + 146.980i 1.06518 + 0.614979i 0.926859 0.375409i \(-0.122498\pi\)
0.138316 + 0.990388i \(0.455831\pi\)
\(240\) 13.9760 + 11.9788i 0.0582335 + 0.0499117i
\(241\) 99.8099 + 172.876i 0.414149 + 0.717327i 0.995339 0.0964412i \(-0.0307460\pi\)
−0.581190 + 0.813768i \(0.697413\pi\)
\(242\) 138.879 + 67.0769i 0.573882 + 0.277177i
\(243\) −10.1790 + 242.787i −0.0418889 + 0.999122i
\(244\) −292.189 33.5998i −1.19750 0.137704i
\(245\) 13.3731 + 3.58331i 0.0545840 + 0.0146257i
\(246\) 44.4041 305.872i 0.180504 1.24338i
\(247\) −343.003 198.033i −1.38868 0.801754i
\(248\) 19.2940 61.7948i 0.0777982 0.249173i
\(249\) −2.20242 50.0458i −0.00884505 0.200987i
\(250\) 28.9527 + 24.9736i 0.115811 + 0.0998944i
\(251\) 154.182 154.182i 0.614271 0.614271i −0.329785 0.944056i \(-0.606976\pi\)
0.944056 + 0.329785i \(0.106976\pi\)
\(252\) 36.7623 123.948i 0.145882 0.491856i
\(253\) 112.952 112.952i 0.446449 0.446449i
\(254\) 290.458 21.4323i 1.14354 0.0843792i
\(255\) −23.6280 + 15.0642i −0.0926588 + 0.0590753i
\(256\) 212.830 142.266i 0.831365 0.555726i
\(257\) −127.793 73.7813i −0.497249 0.287087i 0.230328 0.973113i \(-0.426020\pi\)
−0.727577 + 0.686026i \(0.759353\pi\)
\(258\) −6.13596 51.9206i −0.0237828 0.201243i
\(259\) 114.044 + 30.5580i 0.440325 + 0.117985i
\(260\) 20.1992 16.0327i 0.0776891 0.0616644i
\(261\) 43.1526 + 118.306i 0.165336 + 0.453279i
\(262\) −305.331 + 106.448i −1.16539 + 0.406289i
\(263\) 200.555 + 347.372i 0.762567 + 1.32080i 0.941524 + 0.336947i \(0.109394\pi\)
−0.178957 + 0.983857i \(0.557272\pi\)
\(264\) −153.443 + 41.6323i −0.581222 + 0.157698i
\(265\) −6.03257 3.48291i −0.0227644 0.0131430i
\(266\) 31.6478 166.221i 0.118977 0.624889i
\(267\) −272.435 + 86.0021i −1.02035 + 0.322105i
\(268\) 20.0389 + 46.2183i 0.0747722 + 0.172456i
\(269\) −38.4599 38.4599i −0.142974 0.142974i 0.631997 0.774971i \(-0.282235\pi\)
−0.774971 + 0.631997i \(0.782235\pi\)
\(270\) −19.6697 6.47482i −0.0728508 0.0239808i
\(271\) 78.7332 0.290528 0.145264 0.989393i \(-0.453597\pi\)
0.145264 + 0.989393i \(0.453597\pi\)
\(272\) 113.164 + 372.924i 0.416042 + 1.37104i
\(273\) −160.693 83.5808i −0.588619 0.306157i
\(274\) 228.310 + 335.694i 0.833247 + 1.22516i
\(275\) −159.030 + 42.6121i −0.578293 + 0.154953i
\(276\) 20.3857 288.636i 0.0738612 1.04578i
\(277\) 82.6913 308.608i 0.298524 1.11411i −0.639853 0.768497i \(-0.721005\pi\)
0.938378 0.345611i \(-0.112328\pi\)
\(278\) −80.8599 + 28.1902i −0.290863 + 0.101404i
\(279\) 6.39773 + 72.5474i 0.0229309 + 0.260026i
\(280\) 9.30848 + 5.89361i 0.0332446 + 0.0210486i
\(281\) 65.8614 + 114.075i 0.234382 + 0.405962i 0.959093 0.283091i \(-0.0913600\pi\)
−0.724711 + 0.689053i \(0.758027\pi\)
\(282\) 25.8445 32.7717i 0.0916471 0.116212i
\(283\) 258.450 69.2515i 0.913251 0.244705i 0.228553 0.973532i \(-0.426601\pi\)
0.684698 + 0.728827i \(0.259934\pi\)
\(284\) 313.506 46.5192i 1.10389 0.163800i
\(285\) −26.4620 5.85688i −0.0928493 0.0205504i
\(286\) 16.3916 + 222.144i 0.0573131 + 0.776727i
\(287\) 184.995i 0.644583i
\(288\) −160.463 + 239.156i −0.557163 + 0.830403i
\(289\) −304.275 −1.05286
\(290\) −10.7024 + 0.789711i −0.0369049 + 0.00272314i
\(291\) −144.188 132.032i −0.495490 0.453718i
\(292\) 51.9764 + 350.283i 0.178001 + 1.19960i
\(293\) −24.7756 92.4639i −0.0845585 0.315576i 0.910672 0.413131i \(-0.135565\pi\)
−0.995230 + 0.0975542i \(0.968898\pi\)
\(294\) −31.1207 + 214.371i −0.105853 + 0.729153i
\(295\) 26.9078 15.5352i 0.0912128 0.0526617i
\(296\) −222.216 140.695i −0.750731 0.475321i
\(297\) 141.789 109.033i 0.477404 0.367114i
\(298\) 170.598 + 489.337i 0.572476 + 1.64207i
\(299\) −391.577 104.923i −1.30962 0.350913i
\(300\) −166.943 + 247.132i −0.556478 + 0.823773i
\(301\) −8.09916 30.2265i −0.0269075 0.100420i
\(302\) −474.953 + 323.021i −1.57269 + 1.06961i
\(303\) 396.690 17.4575i 1.30921 0.0576156i
\(304\) −177.653 + 332.441i −0.584386 + 1.09356i
\(305\) 28.1969i 0.0924487i
\(306\) −277.455 339.470i −0.906716 1.10938i
\(307\) 102.660 102.660i 0.334399 0.334399i −0.519855 0.854254i \(-0.674014\pi\)
0.854254 + 0.519855i \(0.174014\pi\)
\(308\) −87.3087 + 37.8546i −0.283470 + 0.122904i
\(309\) 325.045 + 71.9427i 1.05193 + 0.232824i
\(310\) −6.09682 1.16081i −0.0196672 0.00374456i
\(311\) −299.135 + 518.117i −0.961849 + 1.66597i −0.243997 + 0.969776i \(0.578459\pi\)
−0.717852 + 0.696195i \(0.754875\pi\)
\(312\) 286.208 + 284.414i 0.917334 + 0.911584i
\(313\) 95.0121 54.8552i 0.303553 0.175256i −0.340485 0.940250i \(-0.610591\pi\)
0.644038 + 0.764994i \(0.277258\pi\)
\(314\) 203.908 + 584.882i 0.649387 + 1.86268i
\(315\) −12.2077 2.14383i −0.0387547 0.00680582i
\(316\) −285.483 359.671i −0.903427 1.13820i
\(317\) 24.7168 92.2444i 0.0779710 0.290992i −0.915920 0.401362i \(-0.868537\pi\)
0.993891 + 0.110370i \(0.0352036\pi\)
\(318\) 43.0399 100.130i 0.135346 0.314873i
\(319\) 46.3464 80.2743i 0.145286 0.251644i
\(320\) −15.8808 18.7123i −0.0496273 0.0584760i
\(321\) −104.450 + 200.817i −0.325391 + 0.625599i
\(322\) −12.7447 172.721i −0.0395798 0.536399i
\(323\) −405.748 405.748i −1.25619 1.25619i
\(324\) 64.4867 317.518i 0.199033 0.979993i
\(325\) 295.452 + 295.452i 0.909084 + 0.909084i
\(326\) −7.77909 + 9.01855i −0.0238622 + 0.0276643i
\(327\) 125.681 241.635i 0.384346 0.738946i
\(328\) −122.822 + 393.376i −0.374457 + 1.19932i
\(329\) 12.4904 21.6341i 0.0379648 0.0657570i
\(330\) 5.64571 + 14.1583i 0.0171082 + 0.0429040i
\(331\) 139.717 521.431i 0.422106 1.57532i −0.348057 0.937474i \(-0.613158\pi\)
0.770163 0.637848i \(-0.220175\pi\)
\(332\) −7.63038 + 66.3551i −0.0229831 + 0.199865i
\(333\) 291.429 + 51.1786i 0.875161 + 0.153689i
\(334\) 133.148 275.677i 0.398647 0.825380i
\(335\) 4.18248 2.41476i 0.0124850 0.00720823i
\(336\) −74.4821 + 155.458i −0.221673 + 0.462671i
\(337\) 151.381 262.200i 0.449202 0.778041i −0.549132 0.835736i \(-0.685042\pi\)
0.998334 + 0.0576947i \(0.0183750\pi\)
\(338\) 187.951 127.828i 0.556069 0.378189i
\(339\) −419.565 92.8629i −1.23766 0.273932i
\(340\) 34.2789 14.8624i 0.100820 0.0437128i
\(341\) 37.9058 37.9058i 0.111161 0.111161i
\(342\) 42.4125 421.922i 0.124013 1.23369i
\(343\) 305.625i 0.891035i
\(344\) −2.84584 + 69.6511i −0.00827279 + 0.202474i
\(345\) −27.7137 + 1.21962i −0.0803295 + 0.00353514i
\(346\) 7.77160 40.8179i 0.0224613 0.117971i
\(347\) −126.962 473.828i −0.365885 1.36550i −0.866218 0.499667i \(-0.833456\pi\)
0.500333 0.865833i \(-0.333211\pi\)
\(348\) −31.9232 164.844i −0.0917332 0.473690i
\(349\) 507.053 + 135.864i 1.45287 + 0.389296i 0.897022 0.441985i \(-0.145726\pi\)
0.555851 + 0.831282i \(0.312392\pi\)
\(350\) −77.6348 + 160.739i −0.221814 + 0.459255i
\(351\) −419.557 173.275i −1.19532 0.493662i
\(352\) 210.786 22.5283i 0.598825 0.0640009i
\(353\) 505.800 292.024i 1.43286 0.827262i 0.435522 0.900178i \(-0.356564\pi\)
0.997338 + 0.0729160i \(0.0232305\pi\)
\(354\) 290.796 + 389.566i 0.821458 + 1.10047i
\(355\) −7.86422 29.3497i −0.0221527 0.0826751i
\(356\) 376.790 55.9096i 1.05840 0.157049i
\(357\) −193.536 177.220i −0.542118 0.496414i
\(358\) −224.684 193.805i −0.627609 0.541354i
\(359\) −654.682 −1.82363 −0.911813 0.410605i \(-0.865318\pi\)
−0.911813 + 0.410605i \(0.865318\pi\)
\(360\) 24.5353 + 12.6636i 0.0681536 + 0.0351767i
\(361\) 193.991i 0.537372i
\(362\) −382.324 329.779i −1.05614 0.910992i
\(363\) 225.878 + 49.9939i 0.622254 + 0.137724i
\(364\) 193.987 + 143.856i 0.532930 + 0.395209i
\(365\) 32.7927 8.78677i 0.0898429 0.0240733i
\(366\) −438.123 + 51.7773i −1.19706 + 0.141468i
\(367\) 6.22505 + 10.7821i 0.0169620 + 0.0293790i 0.874382 0.485239i \(-0.161267\pi\)
−0.857420 + 0.514618i \(0.827934\pi\)
\(368\) −87.5722 + 375.736i −0.237968 + 1.02102i
\(369\) −40.7268 461.824i −0.110371 1.25156i
\(370\) −10.9664 + 22.7054i −0.0296389 + 0.0613660i
\(371\) 16.8837 63.0108i 0.0455086 0.169841i
\(372\) 6.84129 96.8640i 0.0183906 0.260387i
\(373\) −137.239 + 36.7732i −0.367934 + 0.0985876i −0.438049 0.898951i \(-0.644330\pi\)
0.0701145 + 0.997539i \(0.477664\pi\)
\(374\) −60.3593 + 317.018i −0.161388 + 0.847643i
\(375\) 50.8819 + 26.4651i 0.135685 + 0.0705735i
\(376\) −40.9230 + 37.7102i −0.108838 + 0.100293i
\(377\) −235.240 −0.623980
\(378\) 10.8941 193.621i 0.0288204 0.512224i
\(379\) 248.467 + 248.467i 0.655587 + 0.655587i 0.954333 0.298746i \(-0.0965683\pi\)
−0.298746 + 0.954333i \(0.596568\pi\)
\(380\) 33.6083 + 13.2792i 0.0884429 + 0.0349453i
\(381\) 416.606 131.514i 1.09345 0.345181i
\(382\) 149.798 101.879i 0.392140 0.266699i
\(383\) 97.1783 + 56.1059i 0.253729 + 0.146491i 0.621471 0.783437i \(-0.286536\pi\)
−0.367741 + 0.929928i \(0.619869\pi\)
\(384\) 261.591 281.116i 0.681226 0.732073i
\(385\) 4.56160 + 7.90092i 0.0118483 + 0.0205219i
\(386\) 245.588 508.478i 0.636238 1.31730i
\(387\) −26.8732 73.6748i −0.0694399 0.190374i
\(388\) 162.061 + 204.175i 0.417682 + 0.526225i
\(389\) 6.90940 + 1.85137i 0.0177620 + 0.00475930i 0.267689 0.963505i \(-0.413740\pi\)
−0.249927 + 0.968265i \(0.580407\pi\)
\(390\) 23.9537 30.3742i 0.0614199 0.0778826i
\(391\) −508.637 293.662i −1.30086 0.751053i
\(392\) 86.0802 275.698i 0.219592 0.703312i
\(393\) −408.981 + 260.749i −1.04067 + 0.663484i
\(394\) 254.435 294.975i 0.645774 0.748667i
\(395\) −31.1294 + 31.1294i −0.0788085 + 0.0788085i
\(396\) −209.625 + 113.722i −0.529355 + 0.287176i
\(397\) 466.538 466.538i 1.17516 1.17516i 0.194197 0.980963i \(-0.437790\pi\)
0.980963 0.194197i \(-0.0622100\pi\)
\(398\) 30.3743 + 411.643i 0.0763174 + 1.03428i
\(399\) −11.1589 253.564i −0.0279671 0.635500i
\(400\) 271.801 290.254i 0.679503 0.725635i
\(401\) 3.66564 + 2.11636i 0.00914124 + 0.00527770i 0.504564 0.863374i \(-0.331653\pi\)
−0.495422 + 0.868652i \(0.664987\pi\)
\(402\) 45.2007 + 60.5533i 0.112440 + 0.150630i
\(403\) −131.410 35.2113i −0.326081 0.0873730i
\(404\) −525.965 60.4824i −1.30189 0.149709i
\(405\) −30.9475 2.66435i −0.0764136 0.00657864i
\(406\) −33.0840 94.8971i −0.0814877 0.233737i
\(407\) −108.897 188.614i −0.267559 0.463426i
\(408\) 293.877 + 505.334i 0.720287 + 1.23856i
\(409\) 337.198 + 194.681i 0.824445 + 0.475994i 0.851947 0.523628i \(-0.175422\pi\)
−0.0275017 + 0.999622i \(0.508755\pi\)
\(410\) 38.8113 + 7.38955i 0.0946617 + 0.0180233i
\(411\) 449.117 + 411.254i 1.09274 + 1.00062i
\(412\) −412.826 163.114i −1.00200 0.395909i
\(413\) 205.746 + 205.746i 0.498175 + 0.498175i
\(414\) −69.8406 428.376i −0.168697 1.03472i
\(415\) 6.40341 0.0154299
\(416\) −316.986 434.688i −0.761985 1.04492i
\(417\) −108.309 + 69.0534i −0.259735 + 0.165596i
\(418\) −258.093 + 175.532i −0.617447 + 0.419933i
\(419\) 634.715 170.071i 1.51483 0.405898i 0.596795 0.802393i \(-0.296440\pi\)
0.918037 + 0.396495i \(0.129774\pi\)
\(420\) 15.6219 + 5.39126i 0.0371951 + 0.0128363i
\(421\) 189.826 708.442i 0.450894 1.68276i −0.248992 0.968506i \(-0.580099\pi\)
0.699886 0.714254i \(-0.253234\pi\)
\(422\) −206.567 592.510i −0.489495 1.40405i
\(423\) 26.4185 56.7573i 0.0624551 0.134178i
\(424\) −77.7358 + 122.777i −0.183339 + 0.289569i
\(425\) 302.675 + 524.248i 0.712175 + 1.23352i
\(426\) 441.594 176.088i 1.03661 0.413353i
\(427\) −255.061 + 68.3434i −0.597333 + 0.160055i
\(428\) 179.776 242.424i 0.420038 0.566411i
\(429\) 100.583 + 318.623i 0.234459 + 0.742711i
\(430\) 6.66492 0.491791i 0.0154998 0.00114370i
\(431\) 31.2114i 0.0724162i −0.999344 0.0362081i \(-0.988472\pi\)
0.999344 0.0362081i \(-0.0115279\pi\)
\(432\) −151.714 + 404.484i −0.351189 + 0.936304i
\(433\) −649.978 −1.50110 −0.750552 0.660812i \(-0.770212\pi\)
−0.750552 + 0.660812i \(0.770212\pi\)
\(434\) −4.27703 57.9637i −0.00985490 0.133557i
\(435\) −15.3506 + 4.84586i −0.0352887 + 0.0111399i
\(436\) −216.318 + 291.699i −0.496141 + 0.669035i
\(437\) −147.024 548.701i −0.336439 1.25561i
\(438\) 196.745 + 493.398i 0.449190 + 1.12648i
\(439\) −554.380 + 320.072i −1.26283 + 0.729093i −0.973620 0.228175i \(-0.926724\pi\)
−0.289205 + 0.957267i \(0.593391\pi\)
\(440\) −4.45424 19.8291i −0.0101233 0.0450662i
\(441\) 28.5435 + 323.671i 0.0647246 + 0.733948i
\(442\) 773.348 269.612i 1.74966 0.609983i
\(443\) −149.735 40.1214i −0.338003 0.0905675i 0.0858255 0.996310i \(-0.472647\pi\)
−0.423828 + 0.905743i \(0.639314\pi\)
\(444\) −372.934 128.703i −0.839942 0.289871i
\(445\) −9.45169 35.2742i −0.0212397 0.0792678i
\(446\) −312.546 459.550i −0.700775 1.03038i
\(447\) 417.888 + 655.452i 0.934873 + 1.46634i
\(448\) 130.775 189.008i 0.291908 0.421892i
\(449\) 638.864i 1.42286i 0.702757 + 0.711430i \(0.251952\pi\)
−0.702757 + 0.711430i \(0.748048\pi\)
\(450\) −158.422 + 418.363i −0.352048 + 0.929695i
\(451\) −241.302 + 241.302i −0.535037 + 0.535037i
\(452\) 532.871 + 210.546i 1.17892 + 0.465811i
\(453\) −581.857 + 635.428i −1.28445 + 1.40271i
\(454\) −37.9591 + 199.368i −0.0836103 + 0.439137i
\(455\) 11.5767 20.0513i 0.0254432 0.0440689i
\(456\) −144.618 + 546.590i −0.317145 + 1.19866i
\(457\) −131.301 + 75.8068i −0.287311 + 0.165879i −0.636729 0.771088i \(-0.719713\pi\)
0.349417 + 0.936967i \(0.386380\pi\)
\(458\) 53.1015 18.5128i 0.115942 0.0404209i
\(459\) −522.161 399.807i −1.13761 0.871039i
\(460\) 36.7452 + 4.22545i 0.0798809 + 0.00918576i
\(461\) −78.9392 + 294.605i −0.171235 + 0.639056i 0.825928 + 0.563776i \(0.190652\pi\)
−0.997162 + 0.0752804i \(0.976015\pi\)
\(462\) −114.388 + 85.3864i −0.247593 + 0.184819i
\(463\) −79.3585 + 137.453i −0.171401 + 0.296875i −0.938910 0.344163i \(-0.888163\pi\)
0.767509 + 0.641038i \(0.221496\pi\)
\(464\) 7.34600 + 223.755i 0.0158319 + 0.482231i
\(465\) −9.30051 + 0.409297i −0.0200011 + 0.000880209i
\(466\) 552.426 40.7624i 1.18546 0.0874729i
\(467\) 246.433 + 246.433i 0.527693 + 0.527693i 0.919884 0.392191i \(-0.128283\pi\)
−0.392191 + 0.919884i \(0.628283\pi\)
\(468\) 515.940 + 316.418i 1.10244 + 0.676107i
\(469\) 31.9807 + 31.9807i 0.0681892 + 0.0681892i
\(470\) 4.03982 + 3.48461i 0.00859536 + 0.00741406i
\(471\) 499.482 + 783.431i 1.06047 + 1.66334i
\(472\) −300.901 574.099i −0.637503 1.21631i
\(473\) −28.8622 + 49.9907i −0.0610194 + 0.105689i
\(474\) −540.850 426.526i −1.14103 0.899844i
\(475\) −151.536 + 565.542i −0.319024 + 1.19061i
\(476\) 217.526 + 274.054i 0.456987 + 0.575744i
\(477\) 28.2768 161.018i 0.0592805 0.337564i
\(478\) −529.405 255.696i −1.10754 0.534928i
\(479\) −437.680 + 252.694i −0.913736 + 0.527546i −0.881631 0.471939i \(-0.843554\pi\)
−0.0321049 + 0.999485i \(0.510221\pi\)
\(480\) −29.6393 21.8357i −0.0617485 0.0454911i
\(481\) −276.363 + 478.675i −0.574560 + 0.995166i
\(482\) −224.522 330.124i −0.465813 0.684906i
\(483\) −78.2047 247.734i −0.161915 0.512908i
\(484\) −286.878 113.350i −0.592723 0.234195i
\(485\) 17.6713 17.6713i 0.0364356 0.0364356i
\(486\) −15.4295 485.755i −0.0317480 0.999496i
\(487\) 85.1544i 0.174855i −0.996171 0.0874275i \(-0.972135\pi\)
0.996171 0.0874275i \(-0.0278646\pi\)
\(488\) 587.739 + 24.0141i 1.20438 + 0.0492093i
\(489\) −8.24366 + 15.8493i −0.0168582 + 0.0324117i
\(490\) −27.2010 5.17899i −0.0555123 0.0105694i
\(491\) −40.6464 151.694i −0.0827829 0.308950i 0.912102 0.409963i \(-0.134458\pi\)
−0.994885 + 0.101013i \(0.967792\pi\)
\(492\) −43.5505 + 616.620i −0.0885172 + 1.25329i
\(493\) −329.199 88.2087i −0.667747 0.178922i
\(494\) 713.293 + 344.511i 1.44391 + 0.697390i
\(495\) 13.1270 + 18.7197i 0.0265192 + 0.0378176i
\(496\) −29.3886 + 126.094i −0.0592511 + 0.254222i
\(497\) 246.428 142.275i 0.495831 0.286268i
\(498\) 11.7584 + 99.4961i 0.0236113 + 0.199791i
\(499\) 112.759 + 420.823i 0.225970 + 0.843332i 0.982014 + 0.188810i \(0.0604632\pi\)
−0.756043 + 0.654521i \(0.772870\pi\)
\(500\) −61.4240 45.5507i −0.122848 0.0911013i
\(501\) 99.2383 448.370i 0.198081 0.894951i
\(502\) −284.836 + 330.220i −0.567403 + 0.657809i
\(503\) 731.836 1.45494 0.727471 0.686138i \(-0.240695\pi\)
0.727471 + 0.686138i \(0.240695\pi\)
\(504\) −55.0832 + 252.634i −0.109292 + 0.501257i
\(505\) 50.7568i 0.100508i
\(506\) −208.667 + 241.915i −0.412386 + 0.478092i
\(507\) 230.256 251.455i 0.454154 0.495967i
\(508\) −576.187 + 85.4968i −1.13423 + 0.168301i
\(509\) 288.023 77.1756i 0.565861 0.151622i 0.0354635 0.999371i \(-0.488709\pi\)
0.530398 + 0.847749i \(0.322043\pi\)
\(510\) 44.9108 33.5242i 0.0880603 0.0657337i
\(511\) 158.965 + 275.336i 0.311087 + 0.538818i
\(512\) −403.567 + 315.084i −0.788217 + 0.615398i
\(513\) −83.6795 630.545i −0.163118 1.22913i
\(514\) 265.752 + 128.355i 0.517027 + 0.249717i
\(515\) −11.0141 + 41.1051i −0.0213866 + 0.0798158i
\(516\) 19.8801 + 102.657i 0.0385273 + 0.198947i
\(517\) −44.5109 + 11.9266i −0.0860945 + 0.0230690i
\(518\) −231.967 44.1658i −0.447813 0.0852622i
\(519\) −2.74023 62.2665i −0.00527982 0.119974i
\(520\) −37.9292 + 34.9514i −0.0729407 + 0.0672142i
\(521\) 421.221 0.808486 0.404243 0.914652i \(-0.367535\pi\)
0.404243 + 0.914652i \(0.367535\pi\)
\(522\) −103.483 229.619i −0.198243 0.439883i
\(523\) 121.842 + 121.842i 0.232968 + 0.232968i 0.813930 0.580963i \(-0.197324\pi\)
−0.580963 + 0.813930i \(0.697324\pi\)
\(524\) 593.340 257.255i 1.13233 0.490946i
\(525\) −57.8630 + 261.431i −0.110215 + 0.497965i
\(526\) −451.147 663.342i −0.857694 1.26111i
\(527\) −170.695 98.5507i −0.323899 0.187003i
\(528\) 299.926 105.622i 0.568041 0.200041i
\(529\) −26.2155 45.4065i −0.0495566 0.0858346i
\(530\) 12.5450 + 6.05908i 0.0236699 + 0.0114322i
\(531\) 558.922 + 468.332i 1.05258 + 0.881981i
\(532\) −38.6604 + 336.197i −0.0726700 + 0.631950i
\(533\) 836.537 + 224.149i 1.56949 + 0.420543i
\(534\) 530.734 211.634i 0.993885 0.396318i
\(535\) −25.0581 14.4673i −0.0468375 0.0270416i
\(536\) −46.7714 89.2367i −0.0872602 0.166486i
\(537\) −394.863 205.379i −0.735313 0.382456i
\(538\) 82.3717 + 71.0509i 0.153107 + 0.132065i
\(539\) 169.117 169.117i 0.313761 0.313761i
\(540\) 40.1857 + 10.0196i 0.0744180 + 0.0185549i
\(541\) −387.104 + 387.104i −0.715534 + 0.715534i −0.967687 0.252153i \(-0.918861\pi\)
0.252153 + 0.967687i \(0.418861\pi\)
\(542\) −157.039 + 11.5876i −0.289741 + 0.0213794i
\(543\) −671.901 349.474i −1.23739 0.643598i
\(544\) −280.599 727.171i −0.515807 1.33671i
\(545\) 30.1514 + 17.4079i 0.0553236 + 0.0319411i
\(546\) 332.816 + 143.058i 0.609553 + 0.262011i
\(547\) −571.389 153.103i −1.04459 0.279896i −0.304573 0.952489i \(-0.598514\pi\)
−0.740013 + 0.672593i \(0.765181\pi\)
\(548\) −504.787 635.966i −0.921144 1.16052i
\(549\) −621.692 + 226.765i −1.13241 + 0.413051i
\(550\) 310.927 108.399i 0.565322 0.197088i
\(551\) −164.816 285.470i −0.299122 0.518095i
\(552\) 1.81937 + 578.706i 0.00329596 + 1.04838i
\(553\) −357.039 206.137i −0.645640 0.372761i
\(554\) −119.514 + 627.713i −0.215730 + 1.13306i
\(555\) −8.17351 + 36.9288i −0.0147270 + 0.0665385i
\(556\) 157.132 68.1282i 0.282612 0.122533i
\(557\) 406.323 + 406.323i 0.729484 + 0.729484i 0.970517 0.241033i \(-0.0774861\pi\)
−0.241033 + 0.970517i \(0.577486\pi\)
\(558\) −23.4380 143.760i −0.0420036 0.257634i
\(559\) 146.496 0.262067
\(560\) −19.4339 10.3853i −0.0347034 0.0185452i
\(561\) 21.2824 + 483.602i 0.0379365 + 0.862035i
\(562\) −148.155 217.839i −0.263621 0.387613i
\(563\) 532.100 142.576i 0.945116 0.253243i 0.246828 0.969059i \(-0.420612\pi\)
0.698289 + 0.715816i \(0.253945\pi\)
\(564\) −46.7256 + 69.1695i −0.0828468 + 0.122641i
\(565\) 14.2169 53.0580i 0.0251626 0.0939080i
\(566\) −505.306 + 176.165i −0.892767 + 0.311246i
\(567\) −50.9094 286.401i −0.0897874 0.505116i
\(568\) −618.465 + 138.927i −1.08885 + 0.244589i
\(569\) 29.5231 + 51.1356i 0.0518860 + 0.0898692i 0.890802 0.454392i \(-0.150143\pi\)
−0.838916 + 0.544261i \(0.816810\pi\)
\(570\) 53.6426 + 7.78742i 0.0941098 + 0.0136621i
\(571\) 460.662 123.434i 0.806764 0.216172i 0.168212 0.985751i \(-0.446201\pi\)
0.638552 + 0.769579i \(0.279534\pi\)
\(572\) −65.3885 440.671i −0.114316 0.770404i
\(573\) 183.515 200.410i 0.320270 0.349757i
\(574\) 27.2268 + 368.987i 0.0474335 + 0.642835i
\(575\) 599.276i 1.04222i
\(576\) 284.858 500.632i 0.494545 0.869152i
\(577\) −27.7037 −0.0480133 −0.0240066 0.999712i \(-0.507642\pi\)
−0.0240066 + 0.999712i \(0.507642\pi\)
\(578\) 606.900 44.7820i 1.05000 0.0774774i
\(579\) 183.042 827.006i 0.316135 1.42833i
\(580\) 21.2306 3.15028i 0.0366045 0.00543151i
\(581\) 15.5205 + 57.9235i 0.0267135 + 0.0996962i
\(582\) 307.026 + 242.127i 0.527535 + 0.416025i
\(583\) −104.212 + 60.1667i −0.178751 + 0.103202i
\(584\) −155.224 691.018i −0.265795 1.18325i
\(585\) 24.4858 52.6050i 0.0418560 0.0899232i
\(586\) 63.0254 + 180.780i 0.107552 + 0.308498i
\(587\) −790.936 211.931i −1.34742 0.361040i −0.488239 0.872710i \(-0.662360\pi\)
−0.859182 + 0.511670i \(0.829027\pi\)
\(588\) 30.5225 432.160i 0.0519090 0.734966i
\(589\) −49.3402 184.140i −0.0837694 0.312632i
\(590\) −51.3832 + 34.9463i −0.0870902 + 0.0592311i
\(591\) 269.630 518.393i 0.456227 0.877146i
\(592\) 463.935 + 247.922i 0.783674 + 0.418788i
\(593\) 150.135i 0.253179i −0.991955 0.126589i \(-0.959597\pi\)
0.991955 0.126589i \(-0.0404030\pi\)
\(594\) −266.762 + 238.342i −0.449094 + 0.401250i
\(595\) 23.7193 23.7193i 0.0398643 0.0398643i
\(596\) −412.289 950.913i −0.691760 1.59549i
\(597\) 186.384 + 590.423i 0.312202 + 0.988983i
\(598\) 796.474 + 151.646i 1.33190 + 0.253589i
\(599\) 225.177 390.018i 0.375922 0.651116i −0.614543 0.788884i \(-0.710659\pi\)
0.990465 + 0.137768i \(0.0439928\pi\)
\(600\) 296.610 517.494i 0.494350 0.862490i
\(601\) −126.281 + 72.9085i −0.210118 + 0.121312i −0.601366 0.798973i \(-0.705377\pi\)
0.391248 + 0.920285i \(0.372043\pi\)
\(602\) 20.6030 + 59.0971i 0.0342243 + 0.0981679i
\(603\) 86.8777 + 72.7965i 0.144076 + 0.120724i
\(604\) 899.789 714.192i 1.48972 1.18244i
\(605\) −7.65382 + 28.5645i −0.0126509 + 0.0472140i
\(606\) −788.659 + 93.2035i −1.30142 + 0.153801i
\(607\) −59.7022 + 103.407i −0.0983562 + 0.170358i −0.911004 0.412397i \(-0.864692\pi\)
0.812648 + 0.582755i \(0.198025\pi\)
\(608\) 305.416 689.226i 0.502329 1.13360i
\(609\) −81.0410 127.112i −0.133072 0.208722i
\(610\) −4.14990 56.2408i −0.00680311 0.0921981i
\(611\) 82.6938 + 82.6938i 0.135342 + 0.135342i
\(612\) 603.368 + 636.264i 0.985895 + 1.03965i
\(613\) −129.429 129.429i −0.211140 0.211140i 0.593612 0.804752i \(-0.297702\pi\)
−0.804752 + 0.593612i \(0.797702\pi\)
\(614\) −189.655 + 219.873i −0.308885 + 0.358100i
\(615\) 59.2055 2.60552i 0.0962691 0.00423661i
\(616\) 168.573 88.3536i 0.273657 0.143431i
\(617\) 154.999 268.465i 0.251213 0.435114i −0.712647 0.701523i \(-0.752504\pi\)
0.963860 + 0.266409i \(0.0858371\pi\)
\(618\) −658.916 95.6564i −1.06621 0.154784i
\(619\) −192.204 + 717.315i −0.310507 + 1.15883i 0.617593 + 0.786498i \(0.288108\pi\)
−0.928100 + 0.372331i \(0.878559\pi\)
\(620\) 12.3314 + 1.41803i 0.0198894 + 0.00228714i
\(621\) −249.770 601.230i −0.402206 0.968165i
\(622\) 520.394 1077.45i 0.836646 1.73223i
\(623\) 296.172 170.995i 0.475396 0.274470i
\(624\) −612.723 525.163i −0.981928 0.841608i
\(625\) 306.996 531.733i 0.491194 0.850773i
\(626\) −181.436 + 123.397i −0.289833 + 0.197119i
\(627\) −316.186 + 345.296i −0.504283 + 0.550712i
\(628\) −492.790 1136.58i −0.784697 1.80984i
\(629\) −566.237 + 566.237i −0.900218 + 0.900218i
\(630\) 24.6648 + 2.47936i 0.0391505 + 0.00393549i
\(631\) 804.718i 1.27531i 0.770324 + 0.637653i \(0.220094\pi\)
−0.770324 + 0.637653i \(0.779906\pi\)
\(632\) 622.353 + 675.376i 0.984735 + 1.06863i
\(633\) −505.997 793.649i −0.799363 1.25379i
\(634\) −35.7234 + 187.626i −0.0563461 + 0.295940i
\(635\) 14.4535 + 53.9412i 0.0227614 + 0.0849467i
\(636\) −71.1098 + 206.051i −0.111808 + 0.323979i
\(637\) −586.289 157.096i −0.920392 0.246618i
\(638\) −80.6270 + 166.934i −0.126375 + 0.261653i
\(639\) 583.863 409.429i 0.913714 0.640733i
\(640\) 34.4294 + 34.9859i 0.0537959 + 0.0546655i
\(641\) 282.229 162.945i 0.440294 0.254204i −0.263428 0.964679i \(-0.584853\pi\)
0.703722 + 0.710475i \(0.251520\pi\)
\(642\) 178.779 415.918i 0.278472 0.647848i
\(643\) 20.1141 + 75.0669i 0.0312817 + 0.116745i 0.979801 0.199974i \(-0.0640856\pi\)
−0.948520 + 0.316718i \(0.897419\pi\)
\(644\) 50.8406 + 342.629i 0.0789450 + 0.532032i
\(645\) 9.55955 3.01776i 0.0148210 0.00467869i
\(646\) 869.012 + 749.579i 1.34522 + 1.16034i
\(647\) −126.316 −0.195233 −0.0976165 0.995224i \(-0.531122\pi\)
−0.0976165 + 0.995224i \(0.531122\pi\)
\(648\) −81.8928 + 642.804i −0.126378 + 0.991982i
\(649\) 536.737i 0.827022i
\(650\) −632.786 545.819i −0.973517 0.839722i
\(651\) −26.2449 83.1378i −0.0403148 0.127708i
\(652\) 14.1887 19.1331i 0.0217618 0.0293452i
\(653\) −616.426 + 165.171i −0.943991 + 0.252942i −0.697810 0.716282i \(-0.745842\pi\)
−0.246180 + 0.969224i \(0.579176\pi\)
\(654\) −215.118 + 500.458i −0.328926 + 0.765226i
\(655\) −31.0001 53.6938i −0.0473284 0.0819752i
\(656\) 187.083 802.694i 0.285187 1.22362i
\(657\) 457.459 + 652.356i 0.696284 + 0.992932i
\(658\) −21.7291 + 44.9891i −0.0330230 + 0.0683725i
\(659\) −113.770 + 424.595i −0.172640 + 0.644302i 0.824301 + 0.566151i \(0.191568\pi\)
−0.996942 + 0.0781507i \(0.975098\pi\)
\(660\) −13.3446 27.4089i −0.0202190 0.0415287i
\(661\) −125.488 + 33.6243i −0.189845 + 0.0508688i −0.352489 0.935816i \(-0.614665\pi\)
0.162644 + 0.986685i \(0.447998\pi\)
\(662\) −201.934 + 1060.60i −0.305037 + 1.60211i
\(663\) 1035.88 660.430i 1.56241 0.996123i
\(664\) 5.45352 133.473i 0.00821314 0.201014i
\(665\) 32.4438 0.0487876
\(666\) −588.809 59.1884i −0.884098 0.0888714i
\(667\) −238.573 238.573i −0.357681 0.357681i
\(668\) −225.001 + 569.455i −0.336829 + 0.852478i
\(669\) −614.821 562.988i −0.919015 0.841537i
\(670\) −7.98689 + 5.43198i −0.0119207 + 0.00810743i
\(671\) 421.838 + 243.548i 0.628671 + 0.362963i
\(672\) 125.681 321.034i 0.187025 0.477729i
\(673\) 217.925 + 377.457i 0.323812 + 0.560858i 0.981271 0.192632i \(-0.0617023\pi\)
−0.657460 + 0.753490i \(0.728369\pi\)
\(674\) −263.352 + 545.257i −0.390730 + 0.808987i
\(675\) −86.8955 + 665.379i −0.128734 + 0.985747i
\(676\) −356.070 + 282.624i −0.526731 + 0.418084i
\(677\) 431.171 + 115.532i 0.636885 + 0.170653i 0.562792 0.826599i \(-0.309727\pi\)
0.0740929 + 0.997251i \(0.476394\pi\)
\(678\) 850.522 + 123.472i 1.25446 + 0.182113i
\(679\) 202.681 + 117.018i 0.298499 + 0.172339i
\(680\) −66.1845 + 34.6892i −0.0973302 + 0.0510135i
\(681\) 13.3842 + 304.130i 0.0196537 + 0.446594i
\(682\) −70.0272 + 81.1848i −0.102679 + 0.119039i
\(683\) 300.065 300.065i 0.439334 0.439334i −0.452454 0.891788i \(-0.649451\pi\)
0.891788 + 0.452454i \(0.149451\pi\)
\(684\) −22.4983 + 847.799i −0.0328922 + 1.23947i
\(685\) −55.0426 + 55.0426i −0.0803541 + 0.0803541i
\(686\) −44.9806 609.593i −0.0655695 0.888619i
\(687\) 71.1277 45.3480i 0.103534 0.0660088i
\(688\) −4.57471 139.343i −0.00664929 0.202534i
\(689\) 264.474 + 152.694i 0.383852 + 0.221617i
\(690\) 55.0976 6.51142i 0.0798516 0.00943685i
\(691\) −616.504 165.192i −0.892192 0.239062i −0.216532 0.976276i \(-0.569475\pi\)
−0.675660 + 0.737214i \(0.736141\pi\)
\(692\) −9.49364 + 82.5583i −0.0137191 + 0.119304i
\(693\) −137.516 + 164.116i −0.198436 + 0.236820i
\(694\) 322.972 + 926.402i 0.465377 + 1.33487i
\(695\) −8.20967 14.2196i −0.0118125 0.0204598i
\(696\) 87.9343 + 324.096i 0.126342 + 0.465656i
\(697\) 1086.61 + 627.357i 1.55899 + 0.900082i
\(698\) −1031.35 196.366i −1.47758 0.281327i
\(699\) 792.348 250.128i 1.13355 0.357837i
\(700\) 131.192 332.033i 0.187417 0.474332i
\(701\) −693.443 693.443i −0.989219 0.989219i 0.0107235 0.999943i \(-0.496587\pi\)
−0.999943 + 0.0107235i \(0.996587\pi\)
\(702\) 862.340 + 283.863i 1.22840 + 0.404363i
\(703\) −774.513 −1.10172
\(704\) −417.114 + 75.9571i −0.592491 + 0.107894i
\(705\) 7.09964 + 3.69271i 0.0100704 + 0.00523789i
\(706\) −965.878 + 656.905i −1.36810 + 0.930460i
\(707\) −459.132 + 123.024i −0.649409 + 0.174008i
\(708\) −637.350 734.221i −0.900212 1.03704i
\(709\) 113.078 422.013i 0.159489 0.595223i −0.839190 0.543839i \(-0.816970\pi\)
0.998679 0.0513837i \(-0.0163631\pi\)
\(710\) 20.0054 + 57.3827i 0.0281766 + 0.0808208i
\(711\) −936.698 436.000i −1.31744 0.613220i
\(712\) −743.309 + 166.971i −1.04397 + 0.234509i
\(713\) −97.5620 168.982i −0.136833 0.237002i
\(714\) 412.105 + 324.995i 0.577178 + 0.455175i
\(715\) −41.2545 + 11.0541i −0.0576986 + 0.0154603i
\(716\) 476.673 + 353.490i 0.665745 + 0.493702i
\(717\) −861.043 190.576i −1.20090 0.265796i
\(718\) 1305.81 96.3534i 1.81868 0.134197i
\(719\) 814.721i 1.13313i −0.824017 0.566565i \(-0.808272\pi\)
0.824017 0.566565i \(-0.191728\pi\)
\(720\) −50.8013 21.6476i −0.0705574 0.0300661i
\(721\) −398.522 −0.552734
\(722\) 28.5509 + 386.931i 0.0395441 + 0.535915i
\(723\) −441.665 404.430i −0.610879 0.559378i
\(724\) 811.110 + 601.501i 1.12032 + 0.830802i
\(725\) 90.0039 + 335.899i 0.124143 + 0.463309i
\(726\) −457.889 66.4729i −0.630701 0.0915604i
\(727\) 1132.29 653.729i 1.55749 0.899215i 0.559990 0.828500i \(-0.310805\pi\)
0.997497 0.0707154i \(-0.0225282\pi\)
\(728\) −408.093 258.382i −0.560568 0.354920i
\(729\) −190.142 703.766i −0.260826 0.965386i
\(730\) −64.1143 + 22.3522i −0.0878278 + 0.0306194i
\(731\) 205.009 + 54.9319i 0.280449 + 0.0751462i
\(732\) 866.250 167.755i 1.18340 0.229173i
\(733\) 250.467 + 934.755i 0.341701 + 1.27525i 0.896419 + 0.443208i \(0.146160\pi\)
−0.554718 + 0.832039i \(0.687174\pi\)
\(734\) −14.0032 20.5896i −0.0190779 0.0280512i
\(735\) −41.4943 + 1.82608i −0.0564549 + 0.00248447i
\(736\) 119.370 762.323i 0.162188 1.03576i
\(737\) 83.4292i 0.113201i
\(738\) 149.202 + 915.151i 0.202171 + 1.24004i
\(739\) 821.104 821.104i 1.11110 1.11110i 0.118100 0.993002i \(-0.462320\pi\)
0.993002 0.118100i \(-0.0376805\pi\)
\(740\) 18.5317 46.9017i 0.0250428 0.0633807i
\(741\) 1160.12 + 256.771i 1.56562 + 0.346520i
\(742\) −24.4022 + 128.165i −0.0328870 + 0.172729i
\(743\) 510.682 884.527i 0.687324 1.19048i −0.285376 0.958416i \(-0.592118\pi\)
0.972700 0.232065i \(-0.0745483\pi\)
\(744\) 0.610567 + 194.210i 0.000820654 + 0.261034i
\(745\) −86.0520 + 49.6822i −0.115506 + 0.0666875i
\(746\) 268.322 93.5453i 0.359682 0.125396i
\(747\) 51.4976 + 141.184i 0.0689392 + 0.189001i
\(748\) 73.7338 641.201i 0.0985746 0.857221i
\(749\) 70.1314 261.734i 0.0936334 0.349445i
\(750\) −105.383 45.2980i −0.140511 0.0603973i
\(751\) 542.086 938.921i 0.721819 1.25023i −0.238451 0.971155i \(-0.576640\pi\)
0.960270 0.279073i \(-0.0900270\pi\)
\(752\) 76.0741 81.2388i 0.101162 0.108030i
\(753\) −301.847 + 580.333i −0.400859 + 0.770694i
\(754\) 469.205 34.6217i 0.622288 0.0459174i
\(755\) −77.8763 77.8763i −0.103147 0.103147i
\(756\) 6.76716 + 387.794i 0.00895127 + 0.512956i
\(757\) −7.99210 7.99210i −0.0105576 0.0105576i 0.701808 0.712366i \(-0.252376\pi\)
−0.712366 + 0.701808i \(0.752376\pi\)
\(758\) −532.156 459.019i −0.702053 0.605566i
\(759\) −221.129 + 425.144i −0.291342 + 0.560137i
\(760\) −68.9887 21.5401i −0.0907746 0.0283422i
\(761\) −306.450 + 530.786i −0.402693 + 0.697485i −0.994050 0.108925i \(-0.965259\pi\)
0.591357 + 0.806410i \(0.298593\pi\)
\(762\) −811.598 + 323.630i −1.06509 + 0.424711i
\(763\) −84.3864 + 314.934i −0.110598 + 0.412758i
\(764\) −283.789 + 225.252i −0.371451 + 0.294833i
\(765\) 53.9913 64.4349i 0.0705768 0.0842286i
\(766\) −202.087 97.6053i −0.263821 0.127422i
\(767\) −1179.66 + 681.079i −1.53802 + 0.887978i
\(768\) −480.389 + 599.208i −0.625507 + 0.780219i
\(769\) 570.212 987.637i 0.741499 1.28431i −0.210314 0.977634i \(-0.567449\pi\)
0.951813 0.306679i \(-0.0992179\pi\)
\(770\) −10.2613 15.0876i −0.0133263 0.0195943i
\(771\) 432.228 + 95.6655i 0.560606 + 0.124080i
\(772\) −415.008 + 1050.34i −0.537576 + 1.36055i
\(773\) 143.006 143.006i 0.185001 0.185001i −0.608530