Properties

Label 144.3.w.a.5.18
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 5.18
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.762335 - 1.84901i) q^{2} +(-2.07303 + 2.16854i) q^{3} +(-2.83769 + 2.81913i) q^{4} +(-0.115759 - 0.432017i) q^{5} +(5.58999 + 2.17990i) q^{6} +(7.23679 - 4.17816i) q^{7} +(7.37588 + 3.09780i) q^{8} +(-0.405106 - 8.99088i) q^{9} +O(q^{10})\) \(q+(-0.762335 - 1.84901i) q^{2} +(-2.07303 + 2.16854i) q^{3} +(-2.83769 + 2.81913i) q^{4} +(-0.115759 - 0.432017i) q^{5} +(5.58999 + 2.17990i) q^{6} +(7.23679 - 4.17816i) q^{7} +(7.37588 + 3.09780i) q^{8} +(-0.405106 - 8.99088i) q^{9} +(-0.710557 + 0.543380i) q^{10} +(-20.2288 - 5.42030i) q^{11} +(-0.230778 - 11.9978i) q^{12} +(-1.29383 - 4.82865i) q^{13} +(-13.2423 - 10.1958i) q^{14} +(1.17682 + 0.644556i) q^{15} +(0.104984 - 15.9997i) q^{16} -25.9977i q^{17} +(-16.3154 + 7.60310i) q^{18} +(1.80229 - 1.80229i) q^{19} +(1.54640 + 0.899592i) q^{20} +(-5.94157 + 24.3547i) q^{21} +(5.39895 + 41.5354i) q^{22} +(-1.78994 + 3.10027i) q^{23} +(-22.0081 + 9.57304i) q^{24} +(21.4774 - 12.4000i) q^{25} +(-7.94191 + 6.07337i) q^{26} +(20.3368 + 17.7599i) q^{27} +(-8.75698 + 32.2578i) q^{28} +(13.2056 - 49.2839i) q^{29} +(0.294665 - 2.66731i) q^{30} +(-14.2968 + 24.7628i) q^{31} +(-29.6636 + 12.0030i) q^{32} +(53.6891 - 32.6305i) q^{33} +(-48.0700 + 19.8189i) q^{34} +(-2.64276 - 2.64276i) q^{35} +(26.4960 + 24.3713i) q^{36} +(-22.5902 - 22.5902i) q^{37} +(-4.70639 - 1.95850i) q^{38} +(13.1533 + 7.20421i) q^{39} +(0.484481 - 3.54510i) q^{40} +(-16.3853 + 28.3801i) q^{41} +(49.5616 - 7.58040i) q^{42} +(-4.06313 + 15.1638i) q^{43} +(72.6837 - 41.6466i) q^{44} +(-3.83732 + 1.21578i) q^{45} +(7.09697 + 0.946180i) q^{46} +(33.7785 - 19.5020i) q^{47} +(34.4782 + 33.3954i) q^{48} +(10.4141 - 18.0377i) q^{49} +(-39.3007 - 30.2590i) q^{50} +(56.3769 + 53.8939i) q^{51} +(17.2841 + 10.0547i) q^{52} +(-57.3208 + 57.3208i) q^{53} +(17.3347 - 51.1420i) q^{54} +9.36664i q^{55} +(66.3208 - 8.39948i) q^{56} +(0.172134 + 7.64451i) q^{57} +(-101.194 + 13.1536i) q^{58} +(-11.5988 - 43.2875i) q^{59} +(-5.15653 + 1.48855i) q^{60} +(70.8572 + 18.9861i) q^{61} +(56.6857 + 7.55743i) q^{62} +(-40.4970 - 63.3725i) q^{63} +(44.8072 + 45.6980i) q^{64} +(-1.93629 + 1.11792i) q^{65} +(-101.263 - 74.3964i) q^{66} +(12.2935 + 45.8800i) q^{67} +(73.2909 + 73.7734i) q^{68} +(-3.01245 - 10.3085i) q^{69} +(-2.87182 + 6.90115i) q^{70} -26.4797 q^{71} +(24.8640 - 67.5706i) q^{72} -38.6468i q^{73} +(-24.5483 + 58.9909i) q^{74} +(-17.6334 + 72.2800i) q^{75} +(-0.0334482 + 10.1952i) q^{76} +(-169.039 + 45.2938i) q^{77} +(3.29348 - 29.8126i) q^{78} +(-29.8313 - 51.6693i) q^{79} +(-6.92427 + 1.80674i) q^{80} +(-80.6718 + 7.28451i) q^{81} +(64.9662 + 8.66140i) q^{82} +(-12.5178 + 46.7170i) q^{83} +(-51.7988 - 85.8612i) q^{84} +(-11.2314 + 3.00945i) q^{85} +(31.1356 - 4.04713i) q^{86} +(79.4985 + 130.804i) q^{87} +(-132.414 - 102.644i) q^{88} +79.3499 q^{89} +(5.17332 + 6.16841i) q^{90} +(-29.5381 - 29.5381i) q^{91} +(-3.66077 - 13.8437i) q^{92} +(-24.0614 - 82.3372i) q^{93} +(-61.8100 - 47.5898i) q^{94} +(-0.987248 - 0.569988i) q^{95} +(35.4646 - 89.2091i) q^{96} +(-16.3804 - 28.3718i) q^{97} +(-41.2910 - 5.50499i) q^{98} +(-40.5384 + 184.071i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.762335 1.84901i −0.381167 0.924506i
\(3\) −2.07303 + 2.16854i −0.691009 + 0.722846i
\(4\) −2.83769 + 2.81913i −0.709423 + 0.704783i
\(5\) −0.115759 0.432017i −0.0231517 0.0864034i 0.953383 0.301762i \(-0.0975747\pi\)
−0.976535 + 0.215358i \(0.930908\pi\)
\(6\) 5.58999 + 2.17990i 0.931665 + 0.363317i
\(7\) 7.23679 4.17816i 1.03383 0.596880i 0.115748 0.993279i \(-0.463073\pi\)
0.918079 + 0.396398i \(0.129740\pi\)
\(8\) 7.37588 + 3.09780i 0.921985 + 0.387225i
\(9\) −0.405106 8.99088i −0.0450117 0.998986i
\(10\) −0.710557 + 0.543380i −0.0710557 + 0.0543380i
\(11\) −20.2288 5.42030i −1.83899 0.492755i −0.840211 0.542259i \(-0.817569\pi\)
−0.998774 + 0.0495046i \(0.984236\pi\)
\(12\) −0.230778 11.9978i −0.0192315 0.999815i
\(13\) −1.29383 4.82865i −0.0995257 0.371435i 0.898141 0.439708i \(-0.144918\pi\)
−0.997667 + 0.0682726i \(0.978251\pi\)
\(14\) −13.2423 10.1958i −0.945881 0.728268i
\(15\) 1.17682 + 0.644556i 0.0784543 + 0.0429704i
\(16\) 0.104984 15.9997i 0.00656149 0.999978i
\(17\) 25.9977i 1.52928i −0.644460 0.764638i \(-0.722918\pi\)
0.644460 0.764638i \(-0.277082\pi\)
\(18\) −16.3154 + 7.60310i −0.906412 + 0.422395i
\(19\) 1.80229 1.80229i 0.0948571 0.0948571i −0.658086 0.752943i \(-0.728634\pi\)
0.752943 + 0.658086i \(0.228634\pi\)
\(20\) 1.54640 + 0.899592i 0.0773200 + 0.0449796i
\(21\) −5.94157 + 24.3547i −0.282932 + 1.15975i
\(22\) 5.39895 + 41.5354i 0.245407 + 1.88797i
\(23\) −1.78994 + 3.10027i −0.0778236 + 0.134794i −0.902311 0.431086i \(-0.858130\pi\)
0.824487 + 0.565881i \(0.191464\pi\)
\(24\) −22.0081 + 9.57304i −0.917005 + 0.398877i
\(25\) 21.4774 12.4000i 0.859096 0.495999i
\(26\) −7.94191 + 6.07337i −0.305458 + 0.233591i
\(27\) 20.3368 + 17.7599i 0.753217 + 0.657773i
\(28\) −8.75698 + 32.2578i −0.312749 + 1.15206i
\(29\) 13.2056 49.2839i 0.455365 1.69945i −0.231647 0.972800i \(-0.574411\pi\)
0.687012 0.726646i \(-0.258922\pi\)
\(30\) 0.294665 2.66731i 0.00982218 0.0889104i
\(31\) −14.2968 + 24.7628i −0.461188 + 0.798800i −0.999020 0.0442511i \(-0.985910\pi\)
0.537833 + 0.843052i \(0.319243\pi\)
\(32\) −29.6636 + 12.0030i −0.926987 + 0.375093i
\(33\) 53.6891 32.6305i 1.62694 0.988804i
\(34\) −48.0700 + 19.8189i −1.41382 + 0.582910i
\(35\) −2.64276 2.64276i −0.0755073 0.0755073i
\(36\) 26.4960 + 24.3713i 0.736001 + 0.676980i
\(37\) −22.5902 22.5902i −0.610546 0.610546i 0.332542 0.943088i \(-0.392094\pi\)
−0.943088 + 0.332542i \(0.892094\pi\)
\(38\) −4.70639 1.95850i −0.123852 0.0515396i
\(39\) 13.1533 + 7.20421i 0.337263 + 0.184723i
\(40\) 0.484481 3.54510i 0.0121120 0.0886275i
\(41\) −16.3853 + 28.3801i −0.399640 + 0.692197i −0.993681 0.112237i \(-0.964198\pi\)
0.594041 + 0.804435i \(0.297532\pi\)
\(42\) 49.5616 7.58040i 1.18004 0.180486i
\(43\) −4.06313 + 15.1638i −0.0944915 + 0.352647i −0.996942 0.0781468i \(-0.975100\pi\)
0.902450 + 0.430794i \(0.141766\pi\)
\(44\) 72.6837 41.6466i 1.65190 0.946514i
\(45\) −3.83732 + 1.21578i −0.0852737 + 0.0270174i
\(46\) 7.09697 + 0.946180i 0.154282 + 0.0205691i
\(47\) 33.7785 19.5020i 0.718691 0.414937i −0.0955796 0.995422i \(-0.530470\pi\)
0.814271 + 0.580485i \(0.197137\pi\)
\(48\) 34.4782 + 33.3954i 0.718296 + 0.695738i
\(49\) 10.4141 18.0377i 0.212532 0.368117i
\(50\) −39.3007 30.2590i −0.786014 0.605181i
\(51\) 56.3769 + 53.8939i 1.10543 + 1.05674i
\(52\) 17.2841 + 10.0547i 0.332387 + 0.193360i
\(53\) −57.3208 + 57.3208i −1.08152 + 1.08152i −0.0851571 + 0.996368i \(0.527139\pi\)
−0.996368 + 0.0851571i \(0.972861\pi\)
\(54\) 17.3347 51.1420i 0.321013 0.947075i
\(55\) 9.36664i 0.170303i
\(56\) 66.3208 8.39948i 1.18430 0.149991i
\(57\) 0.172134 + 7.64451i 0.00301989 + 0.134114i
\(58\) −101.194 + 13.1536i −1.74472 + 0.226786i
\(59\) −11.5988 43.2875i −0.196591 0.733686i −0.991849 0.127416i \(-0.959332\pi\)
0.795259 0.606270i \(-0.207335\pi\)
\(60\) −5.15653 + 1.48855i −0.0859421 + 0.0248091i
\(61\) 70.8572 + 18.9861i 1.16159 + 0.311248i 0.787602 0.616184i \(-0.211322\pi\)
0.373991 + 0.927432i \(0.377989\pi\)
\(62\) 56.6857 + 7.55743i 0.914286 + 0.121894i
\(63\) −40.4970 63.3725i −0.642810 1.00591i
\(64\) 44.8072 + 45.6980i 0.700113 + 0.714032i
\(65\) −1.93629 + 1.11792i −0.0297890 + 0.0171987i
\(66\) −101.263 74.3964i −1.53429 1.12722i
\(67\) 12.2935 + 45.8800i 0.183485 + 0.684775i 0.994950 + 0.100374i \(0.0320040\pi\)
−0.811465 + 0.584401i \(0.801329\pi\)
\(68\) 73.2909 + 73.7734i 1.07781 + 1.08490i
\(69\) −3.01245 10.3085i −0.0436587 0.149399i
\(70\) −2.87182 + 6.90115i −0.0410261 + 0.0985879i
\(71\) −26.4797 −0.372953 −0.186477 0.982459i \(-0.559707\pi\)
−0.186477 + 0.982459i \(0.559707\pi\)
\(72\) 24.8640 67.5706i 0.345333 0.938480i
\(73\) 38.6468i 0.529408i −0.964330 0.264704i \(-0.914726\pi\)
0.964330 0.264704i \(-0.0852742\pi\)
\(74\) −24.5483 + 58.9909i −0.331733 + 0.797174i
\(75\) −17.6334 + 72.2800i −0.235113 + 0.963734i
\(76\) −0.0334482 + 10.1952i −0.000440109 + 0.134148i
\(77\) −169.039 + 45.2938i −2.19531 + 0.588231i
\(78\) 3.29348 29.8126i 0.0422241 0.382213i
\(79\) −29.8313 51.6693i −0.377611 0.654042i 0.613103 0.790003i \(-0.289921\pi\)
−0.990714 + 0.135961i \(0.956588\pi\)
\(80\) −6.92427 + 1.80674i −0.0865534 + 0.0225843i
\(81\) −80.6718 + 7.28451i −0.995948 + 0.0899322i
\(82\) 64.9662 + 8.66140i 0.792271 + 0.105627i
\(83\) −12.5178 + 46.7170i −0.150817 + 0.562855i 0.848611 + 0.529018i \(0.177439\pi\)
−0.999427 + 0.0338373i \(0.989227\pi\)
\(84\) −51.7988 85.8612i −0.616652 1.02216i
\(85\) −11.2314 + 3.00945i −0.132135 + 0.0354053i
\(86\) 31.1356 4.04713i 0.362041 0.0470596i
\(87\) 79.4985 + 130.804i 0.913776 + 1.50349i
\(88\) −132.414 102.644i −1.50471 1.16641i
\(89\) 79.3499 0.891572 0.445786 0.895140i \(-0.352924\pi\)
0.445786 + 0.895140i \(0.352924\pi\)
\(90\) 5.17332 + 6.16841i 0.0574813 + 0.0685379i
\(91\) −29.5381 29.5381i −0.324595 0.324595i
\(92\) −3.66077 13.8437i −0.0397910 0.150475i
\(93\) −24.0614 82.3372i −0.258724 0.885346i
\(94\) −61.8100 47.5898i −0.657553 0.506274i
\(95\) −0.987248 0.569988i −0.0103921 0.00599987i
\(96\) 35.4646 89.2091i 0.369423 0.929262i
\(97\) −16.3804 28.3718i −0.168871 0.292492i 0.769152 0.639065i \(-0.220679\pi\)
−0.938023 + 0.346573i \(0.887345\pi\)
\(98\) −41.2910 5.50499i −0.421337 0.0561733i
\(99\) −40.5384 + 184.071i −0.409479 + 1.85930i
\(100\) −25.9890 + 95.7349i −0.259890 + 0.957349i
\(101\) −6.84865 1.83509i −0.0678084 0.0181692i 0.224755 0.974415i \(-0.427842\pi\)
−0.292564 + 0.956246i \(0.594508\pi\)
\(102\) 56.6725 145.327i 0.555612 1.42477i
\(103\) −129.386 74.7010i −1.25617 0.725252i −0.283845 0.958870i \(-0.591610\pi\)
−0.972328 + 0.233618i \(0.924943\pi\)
\(104\) 5.41505 39.6236i 0.0520678 0.380996i
\(105\) 11.2094 0.252406i 0.106756 0.00240387i
\(106\) 149.685 + 62.2892i 1.41212 + 0.587634i
\(107\) −35.2400 + 35.2400i −0.329346 + 0.329346i −0.852338 0.522992i \(-0.824816\pi\)
0.522992 + 0.852338i \(0.324816\pi\)
\(108\) −107.777 + 6.93527i −0.997936 + 0.0642155i
\(109\) 81.1059 81.1059i 0.744091 0.744091i −0.229271 0.973363i \(-0.573634\pi\)
0.973363 + 0.229271i \(0.0736343\pi\)
\(110\) 17.3190 7.14052i 0.157446 0.0649138i
\(111\) 95.8178 2.15756i 0.863224 0.0194375i
\(112\) −66.0894 116.225i −0.590084 1.03772i
\(113\) 53.3280 + 30.7889i 0.471929 + 0.272468i 0.717047 0.697025i \(-0.245493\pi\)
−0.245118 + 0.969493i \(0.578827\pi\)
\(114\) 14.0036 6.14596i 0.122838 0.0539119i
\(115\) 1.54657 + 0.414402i 0.0134484 + 0.00360350i
\(116\) 101.465 + 177.081i 0.874695 + 1.52656i
\(117\) −42.8897 + 13.5888i −0.366579 + 0.116144i
\(118\) −71.1969 + 54.4460i −0.603363 + 0.461406i
\(119\) −108.623 188.140i −0.912795 1.58101i
\(120\) 6.68334 + 8.39971i 0.0556945 + 0.0699976i
\(121\) 275.037 + 158.793i 2.27303 + 1.31234i
\(122\) −18.9113 145.490i −0.155011 1.19254i
\(123\) −27.5762 94.3648i −0.224197 0.767193i
\(124\) −29.2397 110.574i −0.235804 0.891725i
\(125\) −15.7496 15.7496i −0.125997 0.125997i
\(126\) −86.3042 + 123.191i −0.684954 + 0.977703i
\(127\) −67.0975 −0.528327 −0.264163 0.964478i \(-0.585096\pi\)
−0.264163 + 0.964478i \(0.585096\pi\)
\(128\) 50.3381 117.686i 0.393267 0.919424i
\(129\) −24.4603 40.2461i −0.189615 0.311985i
\(130\) 3.54314 + 2.72799i 0.0272549 + 0.0209846i
\(131\) 125.972 33.7541i 0.961619 0.257665i 0.256333 0.966588i \(-0.417486\pi\)
0.705285 + 0.708923i \(0.250819\pi\)
\(132\) −60.3632 + 243.952i −0.457297 + 1.84812i
\(133\) 5.51252 20.5730i 0.0414475 0.154684i
\(134\) 75.4608 57.7067i 0.563141 0.430647i
\(135\) 5.31839 10.8417i 0.0393955 0.0803090i
\(136\) 80.5357 191.756i 0.592174 1.40997i
\(137\) −22.0318 38.1602i −0.160816 0.278542i 0.774345 0.632763i \(-0.218079\pi\)
−0.935162 + 0.354221i \(0.884746\pi\)
\(138\) −16.7641 + 13.4286i −0.121479 + 0.0973086i
\(139\) 206.983 55.4608i 1.48908 0.398999i 0.579656 0.814861i \(-0.303187\pi\)
0.909428 + 0.415862i \(0.136520\pi\)
\(140\) 14.9496 + 0.0490464i 0.106783 + 0.000350331i
\(141\) −27.7329 + 113.678i −0.196687 + 0.806228i
\(142\) 20.1864 + 48.9613i 0.142158 + 0.344798i
\(143\) 104.691i 0.732105i
\(144\) −143.893 + 5.53766i −0.999260 + 0.0384559i
\(145\) −22.8202 −0.157380
\(146\) −71.4584 + 29.4618i −0.489441 + 0.201793i
\(147\) 17.5268 + 59.9761i 0.119230 + 0.408000i
\(148\) 127.789 + 0.419247i 0.863438 + 0.00283275i
\(149\) 66.3271 + 247.536i 0.445148 + 1.66132i 0.715545 + 0.698566i \(0.246178\pi\)
−0.270397 + 0.962749i \(0.587155\pi\)
\(150\) 147.089 22.4972i 0.980595 0.149981i
\(151\) −110.925 + 64.0428i −0.734605 + 0.424125i −0.820105 0.572214i \(-0.806085\pi\)
0.0854993 + 0.996338i \(0.472751\pi\)
\(152\) 18.8766 7.71032i 0.124188 0.0507258i
\(153\) −233.742 + 10.5318i −1.52773 + 0.0688354i
\(154\) 212.613 + 278.026i 1.38060 + 1.80536i
\(155\) 12.3529 + 3.30996i 0.0796963 + 0.0213546i
\(156\) −57.6345 + 16.6375i −0.369452 + 0.106651i
\(157\) −24.9659 93.1741i −0.159019 0.593466i −0.998728 0.0504291i \(-0.983941\pi\)
0.839709 0.543037i \(-0.182726\pi\)
\(158\) −72.7958 + 94.5477i −0.460733 + 0.598403i
\(159\) −5.47463 243.130i −0.0344316 1.52912i
\(160\) 8.61930 + 11.4257i 0.0538706 + 0.0714108i
\(161\) 29.9147i 0.185805i
\(162\) 74.9681 + 143.610i 0.462766 + 0.886481i
\(163\) 84.5646 84.5646i 0.518801 0.518801i −0.398407 0.917209i \(-0.630437\pi\)
0.917209 + 0.398407i \(0.130437\pi\)
\(164\) −33.5109 126.726i −0.204335 0.772720i
\(165\) −20.3119 19.4173i −0.123103 0.117681i
\(166\) 95.9230 12.4685i 0.577849 0.0751112i
\(167\) 19.4639 33.7125i 0.116551 0.201872i −0.801848 0.597528i \(-0.796150\pi\)
0.918399 + 0.395657i \(0.129483\pi\)
\(168\) −119.270 + 161.232i −0.709943 + 0.959712i
\(169\) 124.716 72.0050i 0.737967 0.426065i
\(170\) 14.1266 + 18.4729i 0.0830978 + 0.108664i
\(171\) −16.9342 15.4740i −0.0990307 0.0904913i
\(172\) −31.2189 54.4848i −0.181505 0.316772i
\(173\) −55.3918 + 206.725i −0.320184 + 1.19494i 0.598882 + 0.800838i \(0.295612\pi\)
−0.919065 + 0.394105i \(0.871055\pi\)
\(174\) 181.253 246.710i 1.04169 1.41787i
\(175\) 103.618 179.472i 0.592104 1.02555i
\(176\) −88.8466 + 323.085i −0.504810 + 1.83571i
\(177\) 117.915 + 64.5837i 0.666188 + 0.364879i
\(178\) −60.4912 146.719i −0.339838 0.824264i
\(179\) 29.8384 + 29.8384i 0.166695 + 0.166695i 0.785525 0.618830i \(-0.212393\pi\)
−0.618830 + 0.785525i \(0.712393\pi\)
\(180\) 7.46166 14.2679i 0.0414537 0.0792662i
\(181\) −165.386 165.386i −0.913733 0.913733i 0.0828310 0.996564i \(-0.473604\pi\)
−0.996564 + 0.0828310i \(0.973604\pi\)
\(182\) −32.0984 + 77.1342i −0.176365 + 0.423815i
\(183\) −188.061 + 114.298i −1.02766 + 0.624577i
\(184\) −22.8064 + 17.3223i −0.123948 + 0.0941431i
\(185\) −7.14434 + 12.3744i −0.0386180 + 0.0668884i
\(186\) −133.900 + 107.258i −0.719891 + 0.576657i
\(187\) −140.915 + 525.903i −0.753558 + 2.81232i
\(188\) −40.8741 + 150.567i −0.217416 + 0.800887i
\(189\) 221.377 + 43.5537i 1.17131 + 0.230443i
\(190\) −0.301301 + 2.25995i −0.00158579 + 0.0118945i
\(191\) 174.438 100.712i 0.913290 0.527288i 0.0318019 0.999494i \(-0.489875\pi\)
0.881488 + 0.472206i \(0.156542\pi\)
\(192\) −191.985 + 2.43280i −0.999920 + 0.0126708i
\(193\) −39.0114 + 67.5697i −0.202132 + 0.350102i −0.949215 0.314628i \(-0.898120\pi\)
0.747083 + 0.664730i \(0.231454\pi\)
\(194\) −39.9723 + 51.9164i −0.206043 + 0.267610i
\(195\) 1.58974 6.51638i 0.00815250 0.0334173i
\(196\) 21.2988 + 80.5442i 0.108667 + 0.410940i
\(197\) 37.5571 37.5571i 0.190645 0.190645i −0.605330 0.795975i \(-0.706959\pi\)
0.795975 + 0.605330i \(0.206959\pi\)
\(198\) 371.253 65.3675i 1.87502 0.330139i
\(199\) 31.6063i 0.158826i −0.996842 0.0794129i \(-0.974695\pi\)
0.996842 0.0794129i \(-0.0253045\pi\)
\(200\) 196.827 24.9280i 0.984137 0.124640i
\(201\) −124.977 68.4516i −0.621777 0.340555i
\(202\) 1.82786 + 14.0622i 0.00904881 + 0.0696148i
\(203\) −110.350 411.833i −0.543597 2.02873i
\(204\) −311.915 + 5.99970i −1.52899 + 0.0294103i
\(205\) 14.1574 + 3.79347i 0.0690605 + 0.0185047i
\(206\) −39.4876 + 296.183i −0.191688 + 1.43778i
\(207\) 28.5993 + 14.8372i 0.138161 + 0.0716774i
\(208\) −77.3926 + 20.1940i −0.372080 + 0.0970864i
\(209\) −46.2271 + 26.6892i −0.221182 + 0.127700i
\(210\) −9.01204 20.5339i −0.0429145 0.0977807i
\(211\) −78.8088 294.118i −0.373501 1.39393i −0.855522 0.517766i \(-0.826764\pi\)
0.482021 0.876160i \(-0.339903\pi\)
\(212\) 1.06380 324.254i 0.00501795 1.52950i
\(213\) 54.8931 57.4222i 0.257714 0.269588i
\(214\) 92.0238 + 38.2945i 0.430018 + 0.178946i
\(215\) 7.02137 0.0326575
\(216\) 94.9856 + 193.994i 0.439748 + 0.898121i
\(217\) 238.938i 1.10110i
\(218\) −211.796 88.1360i −0.971540 0.404293i
\(219\) 83.8070 + 80.1159i 0.382680 + 0.365826i
\(220\) −26.4058 26.5796i −0.120026 0.120817i
\(221\) −125.534 + 33.6367i −0.568026 + 0.152202i
\(222\) −77.0346 175.524i −0.347003 0.790647i
\(223\) −8.67499 15.0255i −0.0389013 0.0673790i 0.845919 0.533311i \(-0.179052\pi\)
−0.884821 + 0.465932i \(0.845719\pi\)
\(224\) −164.519 + 210.802i −0.734459 + 0.941082i
\(225\) −120.187 188.077i −0.534166 0.835899i
\(226\) 16.2753 122.076i 0.0720147 0.540157i
\(227\) 94.8028 353.809i 0.417633 1.55863i −0.361868 0.932229i \(-0.617861\pi\)
0.779502 0.626400i \(-0.215472\pi\)
\(228\) −22.0394 21.2075i −0.0966638 0.0930154i
\(229\) 71.2003 19.0781i 0.310918 0.0833103i −0.0999859 0.994989i \(-0.531880\pi\)
0.410904 + 0.911679i \(0.365213\pi\)
\(230\) −0.412770 3.17554i −0.00179465 0.0138067i
\(231\) 252.201 460.462i 1.09178 1.99334i
\(232\) 250.075 322.604i 1.07791 1.39054i
\(233\) 353.927 1.51900 0.759500 0.650507i \(-0.225444\pi\)
0.759500 + 0.650507i \(0.225444\pi\)
\(234\) 57.8222 + 68.9443i 0.247103 + 0.294634i
\(235\) −12.3353 12.3353i −0.0524908 0.0524908i
\(236\) 154.947 + 90.1378i 0.656555 + 0.381940i
\(237\) 173.888 + 42.4217i 0.733704 + 0.178995i
\(238\) −265.066 + 344.270i −1.11372 + 1.44651i
\(239\) 233.969 + 135.082i 0.978949 + 0.565197i 0.901953 0.431835i \(-0.142134\pi\)
0.0769965 + 0.997031i \(0.475467\pi\)
\(240\) 10.4362 18.7610i 0.0434843 0.0781707i
\(241\) 132.967 + 230.305i 0.551729 + 0.955622i 0.998150 + 0.0607993i \(0.0193650\pi\)
−0.446421 + 0.894823i \(0.647302\pi\)
\(242\) 83.9394 629.600i 0.346857 2.60165i
\(243\) 151.438 190.041i 0.623202 0.782061i
\(244\) −254.595 + 145.879i −1.04342 + 0.597865i
\(245\) −8.99812 2.41104i −0.0367270 0.00984098i
\(246\) −153.459 + 122.926i −0.623818 + 0.499700i
\(247\) −11.0345 6.37076i −0.0446740 0.0257925i
\(248\) −182.162 + 138.359i −0.734524 + 0.557899i
\(249\) −75.3578 123.991i −0.302642 0.497955i
\(250\) −17.1148 + 41.1278i −0.0684591 + 0.164511i
\(251\) 174.607 174.607i 0.695647 0.695647i −0.267821 0.963469i \(-0.586304\pi\)
0.963469 + 0.267821i \(0.0863037\pi\)
\(252\) 293.574 + 65.6651i 1.16497 + 0.260576i
\(253\) 53.0128 53.0128i 0.209537 0.209537i
\(254\) 51.1508 + 124.064i 0.201381 + 0.488441i
\(255\) 16.7570 30.5945i 0.0657136 0.119978i
\(256\) −255.978 3.35941i −0.999914 0.0131227i
\(257\) −73.8786 42.6539i −0.287466 0.165968i 0.349333 0.936999i \(-0.386408\pi\)
−0.636798 + 0.771030i \(0.719742\pi\)
\(258\) −55.7686 + 75.9084i −0.216157 + 0.294219i
\(259\) −257.866 69.0950i −0.995622 0.266776i
\(260\) 2.34303 8.63095i 0.00901166 0.0331960i
\(261\) −448.456 98.7647i −1.71822 0.378409i
\(262\) −158.445 207.192i −0.604751 0.790809i
\(263\) 221.662 + 383.929i 0.842819 + 1.45981i 0.887501 + 0.460805i \(0.152439\pi\)
−0.0446820 + 0.999001i \(0.514227\pi\)
\(264\) 497.087 74.3608i 1.88291 0.281670i
\(265\) 31.3989 + 18.1282i 0.118487 + 0.0684082i
\(266\) −42.2421 + 5.49080i −0.158805 + 0.0206421i
\(267\) −164.495 + 172.073i −0.616085 + 0.644469i
\(268\) −164.227 95.5362i −0.612787 0.356478i
\(269\) −131.331 131.331i −0.488220 0.488220i 0.419524 0.907744i \(-0.362197\pi\)
−0.907744 + 0.419524i \(0.862197\pi\)
\(270\) −24.1009 1.56876i −0.0892624 0.00581021i
\(271\) −417.793 −1.54167 −0.770835 0.637034i \(-0.780161\pi\)
−0.770835 + 0.637034i \(0.780161\pi\)
\(272\) −415.954 2.72934i −1.52924 0.0100343i
\(273\) 125.288 2.82114i 0.458930 0.0103339i
\(274\) −53.7631 + 69.8280i −0.196216 + 0.254847i
\(275\) −501.674 + 134.423i −1.82427 + 0.488812i
\(276\) 37.6094 + 20.7599i 0.136266 + 0.0752169i
\(277\) −77.3307 + 288.602i −0.279172 + 1.04189i 0.673821 + 0.738895i \(0.264652\pi\)
−0.952993 + 0.302991i \(0.902015\pi\)
\(278\) −260.338 340.434i −0.936467 1.22458i
\(279\) 228.431 + 118.509i 0.818750 + 0.424765i
\(280\) −11.3059 27.6794i −0.0403783 0.0988550i
\(281\) 52.8235 + 91.4929i 0.187984 + 0.325598i 0.944578 0.328287i \(-0.106471\pi\)
−0.756594 + 0.653885i \(0.773138\pi\)
\(282\) 231.334 35.3823i 0.820333 0.125469i
\(283\) 220.459 59.0719i 0.779009 0.208735i 0.152661 0.988279i \(-0.451216\pi\)
0.626348 + 0.779544i \(0.284549\pi\)
\(284\) 75.1412 74.6498i 0.264582 0.262851i
\(285\) 3.28263 0.959282i 0.0115180 0.00336590i
\(286\) 193.575 79.8096i 0.676836 0.279055i
\(287\) 273.841i 0.954150i
\(288\) 119.934 + 261.839i 0.416438 + 0.909164i
\(289\) −386.880 −1.33868
\(290\) 17.3966 + 42.1947i 0.0599883 + 0.145499i
\(291\) 95.4823 + 23.2939i 0.328118 + 0.0800477i
\(292\) 108.950 + 109.668i 0.373118 + 0.375574i
\(293\) 65.6267 + 244.922i 0.223982 + 0.835912i 0.982810 + 0.184621i \(0.0591058\pi\)
−0.758828 + 0.651291i \(0.774228\pi\)
\(294\) 97.5352 78.1291i 0.331752 0.265745i
\(295\) −17.3583 + 10.0218i −0.0588415 + 0.0339722i
\(296\) −96.6427 236.603i −0.326495 0.799333i
\(297\) −315.127 469.493i −1.06103 1.58078i
\(298\) 407.134 311.345i 1.36622 1.04478i
\(299\) 17.2860 + 4.63178i 0.0578128 + 0.0154909i
\(300\) −153.729 254.819i −0.512429 0.849398i
\(301\) 33.9529 + 126.714i 0.112800 + 0.420976i
\(302\) 202.978 + 156.280i 0.672113 + 0.517485i
\(303\) 18.1769 11.0474i 0.0599898 0.0364599i
\(304\) −28.6467 29.0252i −0.0942327 0.0954775i
\(305\) 32.8093i 0.107571i
\(306\) 197.663 + 424.163i 0.645958 + 1.38615i
\(307\) −99.3313 + 99.3313i −0.323555 + 0.323555i −0.850129 0.526574i \(-0.823476\pi\)
0.526574 + 0.850129i \(0.323476\pi\)
\(308\) 351.991 605.072i 1.14283 1.96452i
\(309\) 430.212 125.721i 1.39227 0.406863i
\(310\) −3.29692 25.3640i −0.0106352 0.0818194i
\(311\) 198.297 343.460i 0.637610 1.10437i −0.348346 0.937366i \(-0.613256\pi\)
0.985956 0.167007i \(-0.0534102\pi\)
\(312\) 74.6997 + 93.8836i 0.239422 + 0.300909i
\(313\) −482.430 + 278.531i −1.54131 + 0.889875i −0.542552 + 0.840022i \(0.682542\pi\)
−0.998757 + 0.0498529i \(0.984125\pi\)
\(314\) −153.248 + 117.192i −0.488050 + 0.373223i
\(315\) −22.6901 + 24.8313i −0.0720321 + 0.0788295i
\(316\) 230.315 + 62.5232i 0.728844 + 0.197858i
\(317\) −67.7601 + 252.884i −0.213754 + 0.797742i 0.772847 + 0.634592i \(0.218832\pi\)
−0.986601 + 0.163150i \(0.947835\pi\)
\(318\) −445.377 + 195.469i −1.40056 + 0.614683i
\(319\) −534.268 + 925.379i −1.67482 + 2.90087i
\(320\) 14.5555 24.6474i 0.0454859 0.0770232i
\(321\) −3.36572 149.473i −0.0104851 0.465647i
\(322\) 55.3126 22.8050i 0.171778 0.0708230i
\(323\) −46.8553 46.8553i −0.145063 0.145063i
\(324\) 208.386 248.096i 0.643165 0.765727i
\(325\) −87.6634 87.6634i −0.269734 0.269734i
\(326\) −220.827 91.8944i −0.677385 0.281885i
\(327\) 7.74631 + 344.016i 0.0236890 + 1.05204i
\(328\) −208.772 + 158.570i −0.636499 + 0.483445i
\(329\) 162.965 282.264i 0.495335 0.857945i
\(330\) −20.4184 + 52.3595i −0.0618739 + 0.158665i
\(331\) 70.2883 262.320i 0.212351 0.792506i −0.774731 0.632291i \(-0.782115\pi\)
0.987082 0.160215i \(-0.0512187\pi\)
\(332\) −96.1797 167.858i −0.289698 0.505595i
\(333\) −193.954 + 212.257i −0.582445 + 0.637409i
\(334\) −77.1729 10.2888i −0.231057 0.0308049i
\(335\) 18.3978 10.6220i 0.0549189 0.0317074i
\(336\) 389.043 + 97.6199i 1.15787 + 0.290536i
\(337\) 210.750 365.030i 0.625372 1.08318i −0.363097 0.931751i \(-0.618281\pi\)
0.988469 0.151425i \(-0.0483861\pi\)
\(338\) −228.214 175.710i −0.675189 0.519853i
\(339\) −177.317 + 51.8174i −0.523060 + 0.152854i
\(340\) 23.3873 40.2028i 0.0687862 0.118244i
\(341\) 423.430 423.430i 1.24173 1.24173i
\(342\) −15.7021 + 43.1080i −0.0459125 + 0.126047i
\(343\) 235.413i 0.686335i
\(344\) −76.9437 + 99.2598i −0.223674 + 0.288546i
\(345\) −4.10473 + 2.49473i −0.0118978 + 0.00723109i
\(346\) 424.464 55.1736i 1.22678 0.159461i
\(347\) −46.8058 174.682i −0.134887 0.503406i −0.999998 0.00182548i \(-0.999419\pi\)
0.865111 0.501580i \(-0.167248\pi\)
\(348\) −594.345 147.064i −1.70789 0.422598i
\(349\) 57.7638 + 15.4778i 0.165512 + 0.0443489i 0.340624 0.940200i \(-0.389362\pi\)
−0.175111 + 0.984549i \(0.556029\pi\)
\(350\) −410.838 54.7736i −1.17382 0.156496i
\(351\) 59.4437 121.178i 0.169355 0.345236i
\(352\) 665.120 82.0207i 1.88954 0.233013i
\(353\) −7.41642 + 4.28187i −0.0210097 + 0.0121299i −0.510468 0.859897i \(-0.670528\pi\)
0.489458 + 0.872027i \(0.337195\pi\)
\(354\) 29.5251 267.261i 0.0834041 0.754975i
\(355\) 3.06525 + 11.4397i 0.00863451 + 0.0322244i
\(356\) −225.171 + 223.698i −0.632502 + 0.628365i
\(357\) 633.166 + 154.467i 1.77357 + 0.432681i
\(358\) 32.4247 77.9185i 0.0905719 0.217649i
\(359\) −242.593 −0.675746 −0.337873 0.941192i \(-0.609707\pi\)
−0.337873 + 0.941192i \(0.609707\pi\)
\(360\) −32.0698 2.91977i −0.0890829 0.00811048i
\(361\) 354.504i 0.982004i
\(362\) −179.721 + 431.879i −0.496466 + 1.19304i
\(363\) −914.508 + 267.246i −2.51931 + 0.736216i
\(364\) 167.092 + 0.548192i 0.459044 + 0.00150602i
\(365\) −16.6961 + 4.47370i −0.0457426 + 0.0122567i
\(366\) 354.703 + 260.594i 0.969135 + 0.712006i
\(367\) 110.239 + 190.940i 0.300379 + 0.520272i 0.976222 0.216774i \(-0.0695534\pi\)
−0.675843 + 0.737046i \(0.736220\pi\)
\(368\) 49.4153 + 28.9639i 0.134281 + 0.0787063i
\(369\) 261.800 + 135.821i 0.709484 + 0.368078i
\(370\) 28.3267 + 3.77656i 0.0765587 + 0.0102069i
\(371\) −175.323 + 654.314i −0.472569 + 1.76365i
\(372\) 300.398 + 165.815i 0.807522 + 0.445740i
\(373\) 202.620 54.2918i 0.543217 0.145554i 0.0232321 0.999730i \(-0.492604\pi\)
0.519985 + 0.854176i \(0.325938\pi\)
\(374\) 1079.83 140.360i 2.88723 0.375294i
\(375\) 66.8032 1.50423i 0.178142 0.00401127i
\(376\) 309.559 39.2055i 0.823297 0.104270i
\(377\) −255.061 −0.676554
\(378\) −88.2321 442.531i −0.233418 1.17072i
\(379\) 346.957 + 346.957i 0.915453 + 0.915453i 0.996694 0.0812412i \(-0.0258884\pi\)
−0.0812412 + 0.996694i \(0.525888\pi\)
\(380\) 4.40837 1.16573i 0.0116010 0.00306772i
\(381\) 139.095 145.503i 0.365079 0.381899i
\(382\) −319.198 245.762i −0.835598 0.643357i
\(383\) −44.9048 25.9258i −0.117245 0.0676914i 0.440231 0.897885i \(-0.354897\pi\)
−0.557476 + 0.830193i \(0.688230\pi\)
\(384\) 150.855 + 353.127i 0.392851 + 0.919602i
\(385\) 39.1354 + 67.7844i 0.101650 + 0.176063i
\(386\) 154.677 + 20.6218i 0.400717 + 0.0534243i
\(387\) 137.982 + 30.3882i 0.356543 + 0.0785225i
\(388\) 126.466 + 34.3317i 0.325944 + 0.0884837i
\(389\) −300.911 80.6288i −0.773549 0.207272i −0.149610 0.988745i \(-0.547802\pi\)
−0.623939 + 0.781473i \(0.714469\pi\)
\(390\) −13.2608 + 2.02822i −0.0340020 + 0.00520057i
\(391\) 80.5999 + 46.5344i 0.206138 + 0.119014i
\(392\) 132.690 100.783i 0.338496 0.257100i
\(393\) −187.947 + 343.148i −0.478236 + 0.873151i
\(394\) −98.0745 40.8124i −0.248920 0.103585i
\(395\) −18.8688 + 18.8688i −0.0477691 + 0.0477691i
\(396\) −403.884 636.619i −1.01991 1.60762i
\(397\) 470.741 470.741i 1.18574 1.18574i 0.207512 0.978232i \(-0.433463\pi\)
0.978232 0.207512i \(-0.0665367\pi\)
\(398\) −58.4405 + 24.0946i −0.146835 + 0.0605392i
\(399\) 33.1857 + 54.6025i 0.0831722 + 0.136848i
\(400\) −196.141 344.933i −0.490352 0.862332i
\(401\) 529.827 + 305.896i 1.32126 + 0.762832i 0.983930 0.178553i \(-0.0571417\pi\)
0.337333 + 0.941385i \(0.390475\pi\)
\(402\) −31.2933 + 283.267i −0.0778441 + 0.704645i
\(403\) 138.069 + 36.9954i 0.342602 + 0.0918000i
\(404\) 24.6077 14.0998i 0.0609102 0.0349006i
\(405\) 12.4855 + 34.0083i 0.0308283 + 0.0839712i
\(406\) −677.360 + 517.993i −1.66837 + 1.27585i
\(407\) 334.528 + 579.419i 0.821936 + 1.42363i
\(408\) 248.877 + 572.160i 0.609992 + 1.40235i
\(409\) −310.635 179.345i −0.759499 0.438497i 0.0696165 0.997574i \(-0.477822\pi\)
−0.829116 + 0.559077i \(0.811156\pi\)
\(410\) −3.77852 29.0691i −0.00921590 0.0709003i
\(411\) 128.425 + 31.3304i 0.312468 + 0.0762298i
\(412\) 577.749 152.778i 1.40230 0.370819i
\(413\) −264.801 264.801i −0.641164 0.641164i
\(414\) 5.63197 64.1913i 0.0136038 0.155051i
\(415\) 21.6315 0.0521242
\(416\) 96.3380 + 127.705i 0.231582 + 0.306984i
\(417\) −308.812 + 563.821i −0.740556 + 1.35209i
\(418\) 84.5892 + 65.1283i 0.202366 + 0.155809i
\(419\) 224.900 60.2617i 0.536754 0.143823i 0.0197486 0.999805i \(-0.493713\pi\)
0.517005 + 0.855982i \(0.327047\pi\)
\(420\) −31.0973 + 32.3171i −0.0740412 + 0.0769455i
\(421\) 169.109 631.122i 0.401683 1.49910i −0.408409 0.912799i \(-0.633916\pi\)
0.810092 0.586303i \(-0.199417\pi\)
\(422\) −483.750 + 369.935i −1.14633 + 0.876623i
\(423\) −189.024 295.798i −0.446866 0.699286i
\(424\) −600.360 + 245.223i −1.41594 + 0.578356i
\(425\) −322.371 558.363i −0.758520 1.31379i
\(426\) −148.021 57.7232i −0.347468 0.135500i
\(427\) 592.106 158.654i 1.38666 0.371556i
\(428\) 0.654012 199.346i 0.00152806 0.465763i
\(429\) −227.026 217.027i −0.529199 0.505892i
\(430\) −5.35263 12.9826i −0.0124480 0.0301921i
\(431\) 480.071i 1.11385i 0.830562 + 0.556927i \(0.188020\pi\)
−0.830562 + 0.556927i \(0.811980\pi\)
\(432\) 286.287 323.518i 0.662701 0.748884i
\(433\) −317.055 −0.732228 −0.366114 0.930570i \(-0.619312\pi\)
−0.366114 + 0.930570i \(0.619312\pi\)
\(434\) 441.799 182.151i 1.01797 0.419702i
\(435\) 47.3068 49.4863i 0.108751 0.113762i
\(436\) −1.50523 + 458.802i −0.00345236 + 1.05230i
\(437\) 2.36159 + 8.81356i 0.00540409 + 0.0201683i
\(438\) 84.2462 216.035i 0.192343 0.493231i
\(439\) 157.780 91.0945i 0.359409 0.207505i −0.309413 0.950928i \(-0.600132\pi\)
0.668821 + 0.743423i \(0.266799\pi\)
\(440\) −29.0160 + 69.0872i −0.0659455 + 0.157016i
\(441\) −166.394 86.3246i −0.377310 0.195747i
\(442\) 157.893 + 206.471i 0.357225 + 0.467129i
\(443\) 183.948 + 49.2888i 0.415233 + 0.111261i 0.460386 0.887719i \(-0.347711\pi\)
−0.0451531 + 0.998980i \(0.514378\pi\)
\(444\) −265.819 + 276.246i −0.598691 + 0.622175i
\(445\) −9.18543 34.2805i −0.0206414 0.0770348i
\(446\) −21.1691 + 27.4946i −0.0474644 + 0.0616471i
\(447\) −674.289 369.316i −1.50848 0.826211i
\(448\) 515.194 + 143.495i 1.14999 + 0.320302i
\(449\) 22.5026i 0.0501172i 0.999686 + 0.0250586i \(0.00797724\pi\)
−0.999686 + 0.0250586i \(0.992023\pi\)
\(450\) −256.134 + 365.606i −0.569187 + 0.812457i
\(451\) 485.283 485.283i 1.07602 1.07602i
\(452\) −238.126 + 62.9692i −0.526828 + 0.139312i
\(453\) 91.0723 373.308i 0.201043 0.824080i
\(454\) −726.468 + 94.4293i −1.60015 + 0.207994i
\(455\) −9.34167 + 16.1802i −0.0205311 + 0.0355610i
\(456\) −22.4116 + 56.9183i −0.0491481 + 0.124821i
\(457\) −8.03399 + 4.63842i −0.0175798 + 0.0101497i −0.508764 0.860906i \(-0.669897\pi\)
0.491184 + 0.871056i \(0.336564\pi\)
\(458\) −89.5540 117.106i −0.195533 0.255691i
\(459\) 461.715 528.711i 1.00592 1.15188i
\(460\) −5.55694 + 3.18404i −0.0120803 + 0.00692183i
\(461\) 163.564 610.429i 0.354803 1.32414i −0.525930 0.850528i \(-0.676283\pi\)
0.880733 0.473614i \(-0.157051\pi\)
\(462\) −1043.66 115.296i −2.25901 0.249559i
\(463\) 119.643 207.227i 0.258407 0.447574i −0.707408 0.706805i \(-0.750136\pi\)
0.965815 + 0.259231i \(0.0834691\pi\)
\(464\) −787.140 216.459i −1.69642 0.466506i
\(465\) −32.7857 + 19.9262i −0.0705070 + 0.0428519i
\(466\) −269.811 654.415i −0.578993 1.40432i
\(467\) −465.534 465.534i −0.996860 0.996860i 0.00313466 0.999995i \(-0.499002\pi\)
−0.999995 + 0.00313466i \(0.999002\pi\)
\(468\) 83.3991 159.473i 0.178203 0.340753i
\(469\) 280.659 + 280.659i 0.598421 + 0.598421i
\(470\) −13.4045 + 32.2119i −0.0285203 + 0.0685359i
\(471\) 253.807 + 139.013i 0.538868 + 0.295144i
\(472\) 48.5444 355.214i 0.102848 0.752572i
\(473\) 164.385 284.723i 0.347537 0.601952i
\(474\) −54.1226 353.860i −0.114183 0.746541i
\(475\) 16.3601 61.0567i 0.0344423 0.128540i
\(476\) 838.628 + 227.661i 1.76182 + 0.478280i
\(477\) 538.585 + 492.143i 1.12911 + 1.03175i
\(478\) 71.4056 535.589i 0.149384 1.12048i
\(479\) −272.785 + 157.493i −0.569489 + 0.328794i −0.756945 0.653478i \(-0.773309\pi\)
0.187456 + 0.982273i \(0.439976\pi\)
\(480\) −42.6452 4.99457i −0.0888441 0.0104054i
\(481\) −79.8523 + 138.308i −0.166013 + 0.287543i
\(482\) 324.472 421.426i 0.673178 0.874329i
\(483\) −64.8711 62.0140i −0.134309 0.128393i
\(484\) −1228.13 + 324.761i −2.53745 + 0.670994i
\(485\) −10.3609 + 10.3609i −0.0213627 + 0.0213627i
\(486\) −466.834 135.136i −0.960564 0.278058i
\(487\) 473.337i 0.971945i −0.873974 0.485973i \(-0.838465\pi\)
0.873974 0.485973i \(-0.161535\pi\)
\(488\) 463.819 + 359.541i 0.950449 + 0.736764i
\(489\) 8.07664 + 358.686i 0.0165166 + 0.733510i
\(490\) 2.40154 + 18.4757i 0.00490110 + 0.0377054i
\(491\) −49.4303 184.476i −0.100673 0.375716i 0.897146 0.441735i \(-0.145637\pi\)
−0.997818 + 0.0660193i \(0.978970\pi\)
\(492\) 344.279 + 190.037i 0.699755 + 0.386254i
\(493\) −1281.27 343.315i −2.59892 0.696379i
\(494\) −3.36764 + 25.2595i −0.00681709 + 0.0511326i
\(495\) 84.2143 3.79448i 0.170130 0.00766562i
\(496\) 394.696 + 231.344i 0.795757 + 0.466419i
\(497\) −191.628 + 110.636i −0.385569 + 0.222609i
\(498\) −171.813 + 233.860i −0.345005 + 0.469598i
\(499\) 63.0138 + 235.171i 0.126280 + 0.471284i 0.999882 0.0153574i \(-0.00488860\pi\)
−0.873602 + 0.486641i \(0.838222\pi\)
\(500\) 89.0930 + 0.292294i 0.178186 + 0.000584589i
\(501\) 32.7576 + 112.095i 0.0653844 + 0.223743i
\(502\) −455.961 189.742i −0.908288 0.377972i
\(503\) −653.388 −1.29898 −0.649491 0.760369i \(-0.725018\pi\)
−0.649491 + 0.760369i \(0.725018\pi\)
\(504\) −102.386 592.880i −0.203146 1.17635i
\(505\) 3.17116i 0.00627952i
\(506\) −138.435 57.6079i −0.273587 0.113850i
\(507\) −102.395 + 419.721i −0.201963 + 0.827851i
\(508\) 190.402 189.157i 0.374807 0.372356i
\(509\) −8.19536 + 2.19594i −0.0161009 + 0.00431422i −0.266861 0.963735i \(-0.585986\pi\)
0.250760 + 0.968049i \(0.419320\pi\)
\(510\) −69.3440 7.66062i −0.135969 0.0150208i
\(511\) −161.473 279.679i −0.315993 0.547316i
\(512\) 188.929 + 475.867i 0.369003 + 0.929428i
\(513\) 68.6612 4.64447i 0.133842 0.00905355i
\(514\) −22.5472 + 169.119i −0.0438662 + 0.329025i
\(515\) −17.2945 + 64.5441i −0.0335816 + 0.125328i
\(516\) 182.870 + 45.2491i 0.354399 + 0.0876921i
\(517\) −789.006 + 211.414i −1.52612 + 0.408924i
\(518\) 68.8228 + 529.471i 0.132863 + 1.02214i
\(519\) −333.462 548.666i −0.642509 1.05716i
\(520\) −17.7449 + 2.24738i −0.0341248 + 0.00432188i
\(521\) 513.662 0.985916 0.492958 0.870053i \(-0.335916\pi\)
0.492958 + 0.870053i \(0.335916\pi\)
\(522\) 159.256 + 904.492i 0.305089 + 1.73274i
\(523\) −531.117 531.117i −1.01552 1.01552i −0.999878 0.0156428i \(-0.995021\pi\)
−0.0156428 0.999878i \(-0.504979\pi\)
\(524\) −262.312 + 450.916i −0.500596 + 0.860526i
\(525\) 174.388 + 596.751i 0.332168 + 1.13667i
\(526\) 540.909 702.537i 1.02834 1.33562i
\(527\) 643.776 + 371.684i 1.22159 + 0.705283i
\(528\) −516.441 862.432i −0.978108 1.63339i
\(529\) 258.092 + 447.029i 0.487887 + 0.845045i
\(530\) 9.58273 71.8767i 0.0180806 0.135616i
\(531\) −384.494 + 121.820i −0.724094 + 0.229416i
\(532\) 42.3552 + 73.9204i 0.0796150 + 0.138948i
\(533\) 158.237 + 42.3996i 0.296881 + 0.0795490i
\(534\) 443.565 + 172.975i 0.830647 + 0.323923i
\(535\) 19.3036 + 11.1449i 0.0360815 + 0.0208317i
\(536\) −51.4517 + 376.488i −0.0959919 + 0.702403i
\(537\) −126.562 + 2.84982i −0.235683 + 0.00530693i
\(538\) −142.715 + 342.952i −0.265269 + 0.637456i
\(539\) −308.435 + 308.435i −0.572235 + 0.572235i
\(540\) 15.4723 + 45.7587i 0.0286524 + 0.0847383i
\(541\) 491.796 491.796i 0.909049 0.909049i −0.0871462 0.996196i \(-0.527775\pi\)
0.996196 + 0.0871462i \(0.0277747\pi\)
\(542\) 318.498 + 772.504i 0.587635 + 1.42528i
\(543\) 701.494 15.7957i 1.29189 0.0290898i
\(544\) 312.050 + 771.185i 0.573621 + 1.41762i
\(545\) −44.4278 25.6504i −0.0815190 0.0470650i
\(546\) −100.728 229.508i −0.184483 0.420344i
\(547\) 278.723 + 74.6837i 0.509549 + 0.136533i 0.504428 0.863454i \(-0.331703\pi\)
0.00512086 + 0.999987i \(0.498370\pi\)
\(548\) 170.098 + 46.1764i 0.310398 + 0.0842634i
\(549\) 141.997 644.760i 0.258647 1.17443i
\(550\) 630.994 + 825.126i 1.14726 + 1.50023i
\(551\) −65.0235 112.624i −0.118010 0.204399i
\(552\) 9.71424 85.3663i 0.0175983 0.154649i
\(553\) −431.766 249.280i −0.780770 0.450778i
\(554\) 592.581 77.0261i 1.06964 0.139036i
\(555\) −12.0238 41.1452i −0.0216646 0.0741354i
\(556\) −431.001 + 740.892i −0.775182 + 1.33254i
\(557\) 560.781 + 560.781i 1.00679 + 1.00679i 0.999977 + 0.00681189i \(0.00216831\pi\)
0.00681189 + 0.999977i \(0.497832\pi\)
\(558\) 44.9843 512.716i 0.0806169 0.918846i
\(559\) 78.4779 0.140390
\(560\) −42.5606 + 42.0058i −0.0760012 + 0.0750103i
\(561\) −848.319 1395.79i −1.51215 2.48804i
\(562\) 128.902 167.419i 0.229364 0.297899i
\(563\) −62.7879 + 16.8240i −0.111524 + 0.0298827i −0.314149 0.949374i \(-0.601719\pi\)
0.202626 + 0.979256i \(0.435053\pi\)
\(564\) −241.776 400.766i −0.428681 0.710578i
\(565\) 7.12816 26.6027i 0.0126162 0.0470844i
\(566\) −277.289 362.600i −0.489909 0.640635i
\(567\) −553.369 + 389.776i −0.975959 + 0.687436i
\(568\) −195.311 82.0289i −0.343857 0.144417i
\(569\) −376.781 652.605i −0.662182 1.14693i −0.980041 0.198795i \(-0.936297\pi\)
0.317859 0.948138i \(-0.397036\pi\)
\(570\) −4.27619 5.33833i −0.00750209 0.00936549i
\(571\) −191.951 + 51.4330i −0.336166 + 0.0900753i −0.422953 0.906152i \(-0.639007\pi\)
0.0867876 + 0.996227i \(0.472340\pi\)
\(572\) −295.138 297.081i −0.515975 0.519372i
\(573\) −143.218 + 587.055i −0.249944 + 1.02453i
\(574\) 506.335 208.759i 0.882117 0.363691i
\(575\) 88.7810i 0.154402i
\(576\) 392.714 421.369i 0.681795 0.731543i
\(577\) 321.494 0.557181 0.278591 0.960410i \(-0.410133\pi\)
0.278591 + 0.960410i \(0.410133\pi\)
\(578\) 294.932 + 715.345i 0.510263 + 1.23762i
\(579\) −65.6557 224.672i −0.113395 0.388034i
\(580\) 64.7565 64.3330i 0.111649 0.110919i
\(581\) 104.603 + 390.382i 0.180039 + 0.671914i
\(582\) −29.7189 194.306i −0.0510633 0.333859i
\(583\) 1470.23 848.837i 2.52183 1.45598i
\(584\) 119.720 285.054i 0.205000 0.488106i
\(585\) 10.8354 + 16.9560i 0.0185221 + 0.0289847i
\(586\) 402.835 308.057i 0.687431 0.525695i
\(587\) 519.522 + 139.206i 0.885046 + 0.237147i 0.672583 0.740022i \(-0.265185\pi\)
0.212463 + 0.977169i \(0.431851\pi\)
\(588\) −218.816 120.783i −0.372136 0.205414i
\(589\) 18.8627 + 70.3966i 0.0320250 + 0.119519i
\(590\) 31.7632 + 24.4557i 0.0538360 + 0.0414503i
\(591\) 3.58702 + 159.301i 0.00606941 + 0.269544i
\(592\) −363.807 + 359.064i −0.614539 + 0.606527i
\(593\) 150.500i 0.253795i −0.991916 0.126897i \(-0.959498\pi\)
0.991916 0.126897i \(-0.0405019\pi\)
\(594\) −627.866 + 940.585i −1.05701 + 1.58348i
\(595\) −68.7056 + 68.7056i −0.115472 + 0.115472i
\(596\) −886.052 515.446i −1.48666 0.864842i
\(597\) 68.5395 + 65.5208i 0.114806 + 0.109750i
\(598\) −4.61353 35.4930i −0.00771493 0.0593529i
\(599\) −447.647 + 775.348i −0.747325 + 1.29440i 0.201776 + 0.979432i \(0.435329\pi\)
−0.949101 + 0.314972i \(0.898005\pi\)
\(600\) −353.971 + 478.504i −0.589952 + 0.797507i
\(601\) 864.629 499.194i 1.43865 0.830605i 0.440894 0.897559i \(-0.354661\pi\)
0.997756 + 0.0669538i \(0.0213280\pi\)
\(602\) 208.412 159.378i 0.346199 0.264747i
\(603\) 407.521 129.116i 0.675822 0.214122i
\(604\) 134.227 494.447i 0.222230 0.818621i
\(605\) 36.7632 137.202i 0.0607657 0.226781i
\(606\) −34.2836 25.1875i −0.0565736 0.0415636i
\(607\) 378.819 656.133i 0.624084 1.08094i −0.364634 0.931151i \(-0.618806\pi\)
0.988717 0.149794i \(-0.0478609\pi\)
\(608\) −31.8295 + 75.0951i −0.0523511 + 0.123512i
\(609\) 1121.83 + 614.442i 1.84209 + 1.00894i
\(610\) −60.6648 + 25.0117i −0.0994505 + 0.0410027i
\(611\) −137.872 137.872i −0.225650 0.225650i
\(612\) 633.597 688.836i 1.03529 1.12555i
\(613\) 325.410 + 325.410i 0.530849 + 0.530849i 0.920825 0.389976i \(-0.127517\pi\)
−0.389976 + 0.920825i \(0.627517\pi\)
\(614\) 259.388 + 107.941i 0.422457 + 0.175800i
\(615\) −37.5750 + 22.8369i −0.0610975 + 0.0371332i
\(616\) −1387.12 189.567i −2.25182 0.307739i
\(617\) −167.571 + 290.242i −0.271590 + 0.470408i −0.969269 0.246002i \(-0.920883\pi\)
0.697679 + 0.716411i \(0.254216\pi\)
\(618\) −560.425 699.627i −0.906837 1.13208i
\(619\) −127.580 + 476.135i −0.206107 + 0.769201i 0.783003 + 0.622018i \(0.213687\pi\)
−0.989109 + 0.147183i \(0.952980\pi\)
\(620\) −44.3850 + 25.4319i −0.0715887 + 0.0410192i
\(621\) −91.4621 + 31.2606i −0.147282 + 0.0503391i
\(622\) −786.230 104.822i −1.26404 0.168523i
\(623\) 574.239 331.537i 0.921731 0.532162i
\(624\) 116.646 209.691i 0.186932 0.336044i
\(625\) 305.019 528.308i 0.488030 0.845292i
\(626\) 882.780 + 679.684i 1.41019 + 1.08576i
\(627\) 37.9535 155.573i 0.0605319 0.248122i
\(628\) 333.516 + 194.017i 0.531076 + 0.308944i
\(629\) −587.293 + 587.293i −0.933693 + 0.933693i
\(630\) 63.2108 + 23.0245i 0.100335 + 0.0365469i
\(631\) 298.987i 0.473830i 0.971530 + 0.236915i \(0.0761362\pi\)
−0.971530 + 0.236915i \(0.923864\pi\)
\(632\) −59.9707 473.518i −0.0948904 0.749238i
\(633\) 801.179 + 438.816i 1.26569 + 0.693232i
\(634\) 519.242 67.4932i 0.818994 0.106456i
\(635\) 7.76711 + 28.9872i 0.0122317 + 0.0456492i
\(636\) 700.951 + 674.494i 1.10212 + 1.06053i
\(637\) −100.572 26.9482i −0.157884 0.0423049i
\(638\) 2118.33 + 282.419i 3.32026 + 0.442663i
\(639\) 10.7271 + 238.076i 0.0167873 + 0.372575i
\(640\) −56.6695 8.12372i −0.0885462 0.0126933i
\(641\) −360.071 + 207.887i −0.561734 + 0.324317i −0.753841 0.657057i \(-0.771801\pi\)
0.192107 + 0.981374i \(0.438468\pi\)
\(642\) −273.811 + 120.172i −0.426497 + 0.187183i
\(643\) −47.0412 175.560i −0.0731589 0.273033i 0.919651 0.392738i \(-0.128472\pi\)
−0.992810 + 0.119705i \(0.961805\pi\)
\(644\) −84.3334 84.8886i −0.130953 0.131815i
\(645\) −14.5555 + 15.2261i −0.0225667 + 0.0236064i
\(646\) −50.9165 + 122.355i −0.0788182 + 0.189405i
\(647\) 56.1947 0.0868543 0.0434272 0.999057i \(-0.486172\pi\)
0.0434272 + 0.999057i \(0.486172\pi\)
\(648\) −617.591 196.176i −0.953073 0.302740i
\(649\) 938.525i 1.44611i
\(650\) −95.2618 + 228.920i −0.146557 + 0.352184i
\(651\) −518.145 495.325i −0.795922 0.760867i
\(652\) −1.56942 + 478.367i −0.00240708 + 0.733692i
\(653\) −93.3761 + 25.0200i −0.142995 + 0.0383155i −0.329607 0.944118i \(-0.606916\pi\)
0.186611 + 0.982434i \(0.440250\pi\)
\(654\) 630.185 276.578i 0.963585 0.422903i
\(655\) −29.1647 50.5147i −0.0445262 0.0771217i
\(656\) 452.352 + 265.138i 0.689560 + 0.404174i
\(657\) −347.468 + 15.6560i −0.528871 + 0.0238296i
\(658\) −646.144 86.1449i −0.981981 0.130919i
\(659\) 77.0858 287.688i 0.116974 0.436552i −0.882453 0.470400i \(-0.844110\pi\)
0.999427 + 0.0338479i \(0.0107762\pi\)
\(660\) 112.379 2.16162i 0.170271 0.00327518i
\(661\) −435.687 + 116.742i −0.659133 + 0.176614i −0.572855 0.819657i \(-0.694164\pi\)
−0.0862784 + 0.996271i \(0.527497\pi\)
\(662\) −538.615 + 70.0114i −0.813618 + 0.105757i
\(663\) 187.293 341.955i 0.282493 0.515769i
\(664\) −237.050 + 305.801i −0.357002 + 0.460544i
\(665\) −9.52601 −0.0143248
\(666\) 540.324 + 196.813i 0.811298 + 0.295515i
\(667\) 129.156 + 129.156i 0.193638 + 0.193638i
\(668\) 39.8075 + 150.537i 0.0595920 + 0.225355i
\(669\) 50.5669 + 12.3363i 0.0755858 + 0.0184399i
\(670\) −33.6655 25.9203i −0.0502470 0.0386870i
\(671\) −1330.45 768.135i −1.98278 1.14476i
\(672\) −116.081 793.764i −0.172739 1.18120i
\(673\) −64.0278 110.899i −0.0951379 0.164784i 0.814528 0.580124i \(-0.196996\pi\)
−0.909666 + 0.415340i \(0.863663\pi\)
\(674\) −835.608 111.405i −1.23977 0.165289i
\(675\) 657.004 + 129.259i 0.973340 + 0.191495i
\(676\) −150.915 + 555.920i −0.223247 + 0.822367i
\(677\) −717.129 192.154i −1.05927 0.283832i −0.313195 0.949689i \(-0.601399\pi\)
−0.746079 + 0.665857i \(0.768066\pi\)
\(678\) 230.986 + 288.360i 0.340688 + 0.425309i
\(679\) −237.084 136.880i −0.349166 0.201591i
\(680\) −92.1644 12.5954i −0.135536 0.0185226i
\(681\) 570.719 + 939.039i 0.838060 + 1.37891i
\(682\) −1105.72 460.132i −1.62129 0.674680i
\(683\) −413.911 + 413.911i −0.606019 + 0.606019i −0.941903 0.335885i \(-0.890965\pi\)
0.335885 + 0.941903i \(0.390965\pi\)
\(684\) 91.6775 3.82941i 0.134031 0.00559855i
\(685\) −13.9355 + 13.9355i −0.0203438 + 0.0203438i
\(686\) 435.281 179.463i 0.634521 0.261609i
\(687\) −106.229 + 193.950i −0.154627 + 0.282314i
\(688\) 242.189 + 66.6007i 0.352019 + 0.0968033i
\(689\) 350.946 + 202.619i 0.509356 + 0.294077i
\(690\) 7.74196 + 5.68788i 0.0112202 + 0.00824330i
\(691\) 481.009 + 128.886i 0.696105 + 0.186521i 0.589485 0.807779i \(-0.299331\pi\)
0.106620 + 0.994300i \(0.465997\pi\)
\(692\) −425.600 742.779i −0.615030 1.07338i
\(693\) 475.710 + 1501.46i 0.686450 + 2.16661i
\(694\) −287.307 + 219.711i −0.413987 + 0.316586i
\(695\) −47.9200 82.9999i −0.0689497 0.119424i
\(696\) 181.167 + 1211.06i 0.260297 + 1.74003i
\(697\) 737.817 + 425.979i 1.05856 + 0.611160i
\(698\) −15.4168 118.605i −0.0220871 0.169921i
\(699\) −733.701 + 767.504i −1.04964 + 1.09800i
\(700\) 211.919 + 801.400i 0.302741 + 1.14486i
\(701\) −270.798 270.798i −0.386303 0.386303i 0.487064 0.873367i \(-0.338068\pi\)
−0.873367 + 0.487064i \(0.838068\pi\)
\(702\) −269.375 17.5340i −0.383726 0.0249772i
\(703\) −81.4280 −0.115829
\(704\) −658.701 1167.29i −0.935655 1.65808i
\(705\) 52.3212 1.17813i 0.0742144 0.00167111i
\(706\) 13.5710 + 10.4488i 0.0192224 + 0.0148000i
\(707\) −57.2296 + 15.3346i −0.0809470 + 0.0216897i
\(708\) −516.677 + 149.150i −0.729770 + 0.210664i
\(709\) −110.232 + 411.392i −0.155475 + 0.580242i 0.843589 + 0.536990i \(0.180439\pi\)
−0.999064 + 0.0432524i \(0.986228\pi\)
\(710\) 18.8153 14.3885i 0.0265005 0.0202656i
\(711\) −452.468 + 289.141i −0.636382 + 0.406668i
\(712\) 585.275 + 245.810i 0.822016 + 0.345239i
\(713\) −51.1810 88.6480i −0.0717825 0.124331i
\(714\) −197.073 1288.49i −0.276012 1.80460i
\(715\) 45.2283 12.1189i 0.0632563 0.0169495i
\(716\) −168.791 0.553765i −0.235741 0.000773415i
\(717\) −777.954 + 227.341i −1.08501 + 0.317073i
\(718\) 184.937 + 448.557i 0.257572 + 0.624731i
\(719\) 1018.72i 1.41685i −0.705784 0.708427i \(-0.749405\pi\)
0.705784 0.708427i \(-0.250595\pi\)
\(720\) 19.0493 + 61.5234i 0.0264573 + 0.0854491i
\(721\) −1248.45 −1.73155
\(722\) 655.481 270.250i 0.907869 0.374308i
\(723\) −775.068 189.086i −1.07202 0.261529i
\(724\) 935.557 + 3.06936i 1.29221 + 0.00423944i
\(725\) −327.498 1222.24i −0.451722 1.68585i
\(726\) 1191.30 + 1487.20i 1.64091 + 2.04849i
\(727\) −409.462 + 236.403i −0.563221 + 0.325176i −0.754437 0.656372i \(-0.772090\pi\)
0.191216 + 0.981548i \(0.438757\pi\)
\(728\) −126.366 309.373i −0.173580 0.424963i
\(729\) 98.1748 + 722.359i 0.134670 + 0.990890i
\(730\) 20.9999 + 27.4608i 0.0287670 + 0.0376175i
\(731\) 394.224 + 105.632i 0.539295 + 0.144504i
\(732\) 211.439 854.511i 0.288851 1.16736i
\(733\) 227.404 + 848.684i 0.310238 + 1.15782i 0.928342 + 0.371727i \(0.121234\pi\)
−0.618104 + 0.786096i \(0.712099\pi\)
\(734\) 269.011 349.394i 0.366500 0.476013i
\(735\) 23.8818 14.5146i 0.0324922 0.0197478i
\(736\) 15.8836 113.450i 0.0215810 0.154144i
\(737\) 994.733i 1.34971i
\(738\) 51.5554 587.612i 0.0698583 0.796222i
\(739\) 48.3289 48.3289i 0.0653977 0.0653977i −0.673651 0.739049i \(-0.735275\pi\)
0.739049 + 0.673651i \(0.235275\pi\)
\(740\) −14.6115 55.2554i −0.0197453 0.0746695i
\(741\) 36.6900 10.7219i 0.0495142 0.0144695i
\(742\) 1343.49 174.632i 1.81063 0.235353i
\(743\) 171.049 296.266i 0.230214 0.398743i −0.727657 0.685941i \(-0.759391\pi\)
0.957871 + 0.287199i \(0.0927240\pi\)
\(744\) 77.5906 681.847i 0.104288 0.916461i
\(745\) 99.2618 57.3088i 0.133237 0.0769246i
\(746\) −254.850 333.258i −0.341622 0.446726i
\(747\) 425.097 + 93.6204i 0.569073 + 0.125329i
\(748\) −1082.72 1889.61i −1.44748 2.52622i
\(749\) −107.786 + 402.263i −0.143907 + 0.537067i
\(750\) −53.7077 122.373i −0.0716103 0.163164i
\(751\) −583.913 + 1011.37i −0.777514 + 1.34669i 0.155857 + 0.987780i \(0.450186\pi\)
−0.933371 + 0.358914i \(0.883147\pi\)
\(752\) −308.479 542.492i −0.410212 0.721398i
\(753\) 16.6765 + 740.609i 0.0221467 + 0.983544i
\(754\) 194.442 + 471.611i 0.257880 + 0.625479i
\(755\) 40.5081 + 40.5081i 0.0536532 + 0.0536532i
\(756\) −750.984 + 500.499i −0.993364 + 0.662036i
\(757\) −885.032 885.032i −1.16913 1.16913i −0.982414 0.186716i \(-0.940215\pi\)
−0.186716 0.982414i \(-0.559785\pi\)
\(758\) 377.030 906.025i 0.497401 1.19528i
\(759\) 5.06318 + 224.857i 0.00667086 + 0.296255i
\(760\) −5.51611 7.26246i −0.00725804 0.00955587i
\(761\) −222.498 + 385.378i −0.292376 + 0.506410i −0.974371 0.224947i \(-0.927779\pi\)
0.681995 + 0.731357i \(0.261113\pi\)
\(762\) −375.075 146.266i −0.492224 0.191950i
\(763\) 248.073 925.820i 0.325128 1.21339i
\(764\) −211.082 + 777.555i −0.276285 + 1.01774i
\(765\) 31.6076 + 99.7613i 0.0413171 + 0.130407i
\(766\) −13.7046 + 102.794i −0.0178912 + 0.134195i
\(767\) −194.013 + 112.014i −0.252951 + 0.146041i
\(768\) 537.935 548.134i 0.700436 0.713716i
\(769\) 27.2858 47.2604i 0.0354822 0.0614569i −0.847739 0.530414i \(-0.822037\pi\)
0.883221 + 0.468957i \(0.155370\pi\)
\(770\) 95.5000 124.036i 0.124026 0.161086i
\(771\) 245.649 71.7859i 0.318611 0.0931075i
\(772\) −79.7857 301.720i −0.103349 0.390829i
\(773\) 125.828 125.828i 0.162779 0.162779i −0.621018