Properties

Label 230.3.i.a.19.12
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.12
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(1.62857 + 5.54639i) q^{3} +(1.30972 - 1.51150i) q^{4} +(4.18474 - 2.73642i) q^{5} +(-5.35343 - 6.17819i) q^{6} +(0.543186 + 3.77794i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-20.5389 + 13.1996i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(1.62857 + 5.54639i) q^{3} +(1.30972 - 1.51150i) q^{4} +(4.18474 - 2.73642i) q^{5} +(-5.35343 - 6.17819i) q^{6} +(0.543186 + 3.77794i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(-20.5389 + 13.1996i) q^{9} +(-3.77570 + 5.97864i) q^{10} +(15.1678 + 6.92691i) q^{11} +(10.5163 + 4.80265i) q^{12} +(-6.09510 - 0.876343i) q^{13} +(-2.91825 - 4.54088i) q^{14} +(21.9924 + 18.7537i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(-8.15256 - 9.40856i) q^{17} +(18.6670 - 29.0464i) q^{18} +(18.5815 + 16.1009i) q^{19} +(1.34475 - 9.90917i) q^{20} +(-20.0693 + 9.16535i) q^{21} -23.5816 q^{22} +(-1.00299 + 22.9781i) q^{23} -16.3498 q^{24} +(10.0241 - 22.9024i) q^{25} +(8.35566 - 2.45344i) q^{26} +(-67.3412 - 58.3514i) q^{27} +(6.42177 + 4.12702i) q^{28} +(-26.1605 - 30.1908i) q^{29} +(-39.3088 - 11.2049i) q^{30} +(-37.5160 - 11.0157i) q^{31} +(3.05833 + 4.75885i) q^{32} +(-13.7175 + 95.4076i) q^{33} +(16.0150 + 7.31379i) q^{34} +(12.6111 + 14.3233i) q^{35} +(-6.94914 + 48.3323i) q^{36} +(17.7676 - 11.4186i) q^{37} +(-33.3626 - 9.79613i) q^{38} +(-5.06574 - 35.2330i) q^{39} +(4.09159 + 13.5373i) q^{40} +(29.7061 + 19.0910i) q^{41} +(20.4329 - 23.5809i) q^{42} +(3.53813 - 1.03889i) q^{43} +(30.3357 - 13.8538i) q^{44} +(-49.8305 + 111.440i) q^{45} +(-12.2091 - 30.1486i) q^{46} -20.2106i q^{47} +(21.0327 - 9.60530i) q^{48} +(33.0374 - 9.70065i) q^{49} +(0.559731 + 35.3509i) q^{50} +(38.9065 - 60.5398i) q^{51} +(-9.30748 + 8.06498i) q^{52} +(2.70111 + 18.7866i) q^{53} +(120.909 + 35.5022i) q^{54} +(82.4283 - 12.5182i) q^{55} +(-10.6856 - 1.53636i) q^{56} +(-59.0409 + 129.282i) q^{57} +(51.3899 + 23.4690i) q^{58} +(-7.82910 + 54.4526i) q^{59} +(57.1501 - 8.67924i) q^{60} +(27.3810 - 93.2510i) q^{61} +(54.7326 - 7.86937i) q^{62} +(-61.0236 - 70.4250i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(-27.9044 + 13.0115i) q^{65} +(-38.4042 - 130.793i) q^{66} +(-30.8015 - 67.4459i) q^{67} -24.8986 q^{68} +(-129.079 + 31.8584i) q^{69} +(-24.6378 - 11.0169i) q^{70} +(15.0787 + 33.0178i) q^{71} +(-19.4551 - 66.2579i) q^{72} +(22.4766 + 19.4760i) q^{73} +(-16.1483 + 25.1272i) q^{74} +(143.350 + 18.2993i) q^{75} +(48.6731 - 6.99814i) q^{76} +(-17.9305 + 61.0657i) q^{77} +(27.2155 + 42.3482i) q^{78} +(83.0782 + 11.9448i) q^{79} +(-13.2165 - 15.0108i) q^{80} +(122.690 - 268.654i) q^{81} +(-49.4300 - 7.10697i) q^{82} +(12.2049 - 7.84362i) q^{83} +(-12.4318 + 42.3388i) q^{84} +(-59.8621 - 17.0635i) q^{85} +(-3.94117 + 3.41504i) q^{86} +(124.846 - 194.264i) q^{87} +(-30.8853 + 35.6435i) q^{88} +(31.9185 + 108.704i) q^{89} +(-1.36661 - 172.632i) q^{90} -23.5029i q^{91} +(33.4178 + 31.6110i) q^{92} -226.018i q^{93} +(11.8734 + 25.9992i) q^{94} +(121.818 + 16.5316i) q^{95} +(-21.4137 + 24.7128i) q^{96} +(142.673 + 91.6905i) q^{97} +(-36.8007 + 31.8880i) q^{98} +(-402.963 + 57.9373i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28641 + 0.587486i −0.643207 + 0.293743i
\(3\) 1.62857 + 5.54639i 0.542856 + 1.84880i 0.528556 + 0.848899i \(0.322734\pi\)
0.0143001 + 0.999898i \(0.495448\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) 4.18474 2.73642i 0.836947 0.547283i
\(6\) −5.35343 6.17819i −0.892239 1.02970i
\(7\) 0.543186 + 3.77794i 0.0775980 + 0.539706i 0.991126 + 0.132929i \(0.0424382\pi\)
−0.913528 + 0.406777i \(0.866653\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) −20.5389 + 13.1996i −2.28210 + 1.46662i
\(10\) −3.77570 + 5.97864i −0.377570 + 0.597864i
\(11\) 15.1678 + 6.92691i 1.37889 + 0.629719i 0.960432 0.278515i \(-0.0898423\pi\)
0.418461 + 0.908235i \(0.362570\pi\)
\(12\) 10.5163 + 4.80265i 0.876361 + 0.400221i
\(13\) −6.09510 0.876343i −0.468854 0.0674110i −0.0961611 0.995366i \(-0.530656\pi\)
−0.372693 + 0.927955i \(0.621566\pi\)
\(14\) −2.91825 4.54088i −0.208446 0.324349i
\(15\) 21.9924 + 18.7537i 1.46616 + 1.25025i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) −8.15256 9.40856i −0.479563 0.553445i 0.463484 0.886105i \(-0.346599\pi\)
−0.943047 + 0.332661i \(0.892054\pi\)
\(18\) 18.6670 29.0464i 1.03706 1.61369i
\(19\) 18.5815 + 16.1009i 0.977973 + 0.847418i 0.988299 0.152528i \(-0.0487416\pi\)
−0.0103263 + 0.999947i \(0.503287\pi\)
\(20\) 1.34475 9.90917i 0.0672375 0.495458i
\(21\) −20.0693 + 9.16535i −0.955681 + 0.436445i
\(22\) −23.5816 −1.07189
\(23\) −1.00299 + 22.9781i −0.0436081 + 0.999049i
\(24\) −16.3498 −0.681243
\(25\) 10.0241 22.9024i 0.400962 0.916095i
\(26\) 8.35566 2.45344i 0.321372 0.0943632i
\(27\) −67.3412 58.3514i −2.49412 2.16116i
\(28\) 6.42177 + 4.12702i 0.229349 + 0.147394i
\(29\) −26.1605 30.1908i −0.902086 1.04106i −0.998952 0.0457649i \(-0.985427\pi\)
0.0968666 0.995297i \(-0.469118\pi\)
\(30\) −39.3088 11.2049i −1.31029 0.373496i
\(31\) −37.5160 11.0157i −1.21019 0.355345i −0.386451 0.922310i \(-0.626299\pi\)
−0.823742 + 0.566965i \(0.808117\pi\)
\(32\) 3.05833 + 4.75885i 0.0955727 + 0.148714i
\(33\) −13.7175 + 95.4076i −0.415683 + 2.89114i
\(34\) 16.0150 + 7.31379i 0.471028 + 0.215111i
\(35\) 12.6111 + 14.3233i 0.360317 + 0.409237i
\(36\) −6.94914 + 48.3323i −0.193032 + 1.34256i
\(37\) 17.7676 11.4186i 0.480207 0.308610i −0.278050 0.960567i \(-0.589688\pi\)
0.758256 + 0.651957i \(0.226052\pi\)
\(38\) −33.3626 9.79613i −0.877962 0.257793i
\(39\) −5.06574 35.2330i −0.129891 0.903410i
\(40\) 4.09159 + 13.5373i 0.102290 + 0.338433i
\(41\) 29.7061 + 19.0910i 0.724539 + 0.465633i 0.850213 0.526438i \(-0.176473\pi\)
−0.125674 + 0.992072i \(0.540109\pi\)
\(42\) 20.4329 23.5809i 0.486498 0.561449i
\(43\) 3.53813 1.03889i 0.0822821 0.0241602i −0.240332 0.970691i \(-0.577256\pi\)
0.322615 + 0.946530i \(0.395438\pi\)
\(44\) 30.3357 13.8538i 0.689447 0.314860i
\(45\) −49.8305 + 111.440i −1.10734 + 2.47644i
\(46\) −12.2091 30.1486i −0.265414 0.655405i
\(47\) 20.2106i 0.430012i −0.976613 0.215006i \(-0.931023\pi\)
0.976613 0.215006i \(-0.0689771\pi\)
\(48\) 21.0327 9.60530i 0.438180 0.200110i
\(49\) 33.0374 9.70065i 0.674232 0.197972i
\(50\) 0.559731 + 35.3509i 0.0111946 + 0.707018i
\(51\) 38.9065 60.5398i 0.762873 1.18705i
\(52\) −9.30748 + 8.06498i −0.178990 + 0.155096i
\(53\) 2.70111 + 18.7866i 0.0509643 + 0.354464i 0.999307 + 0.0372173i \(0.0118494\pi\)
−0.948343 + 0.317247i \(0.897242\pi\)
\(54\) 120.909 + 35.5022i 2.23906 + 0.657447i
\(55\) 82.4283 12.5182i 1.49870 0.227603i
\(56\) −10.6856 1.53636i −0.190815 0.0274350i
\(57\) −59.0409 + 129.282i −1.03581 + 2.26810i
\(58\) 51.3899 + 23.4690i 0.886032 + 0.404637i
\(59\) −7.82910 + 54.4526i −0.132697 + 0.922925i 0.809322 + 0.587365i \(0.199835\pi\)
−0.942019 + 0.335560i \(0.891074\pi\)
\(60\) 57.1501 8.67924i 0.952502 0.144654i
\(61\) 27.3810 93.2510i 0.448868 1.52870i −0.355559 0.934654i \(-0.615710\pi\)
0.804427 0.594051i \(-0.202472\pi\)
\(62\) 54.7326 7.86937i 0.882785 0.126925i
\(63\) −61.0236 70.4250i −0.968629 1.11786i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) −27.9044 + 13.0115i −0.429299 + 0.200176i
\(66\) −38.4042 130.793i −0.581881 1.98171i
\(67\) −30.8015 67.4459i −0.459724 1.00666i −0.987550 0.157303i \(-0.949720\pi\)
0.527826 0.849352i \(-0.323007\pi\)
\(68\) −24.8986 −0.366156
\(69\) −129.079 + 31.8584i −1.87071 + 0.461717i
\(70\) −24.6378 11.0169i −0.351969 0.157384i
\(71\) 15.0787 + 33.0178i 0.212377 + 0.465040i 0.985600 0.169094i \(-0.0540841\pi\)
−0.773223 + 0.634134i \(0.781357\pi\)
\(72\) −19.4551 66.2579i −0.270209 0.920248i
\(73\) 22.4766 + 19.4760i 0.307898 + 0.266795i 0.795079 0.606506i \(-0.207429\pi\)
−0.487181 + 0.873301i \(0.661975\pi\)
\(74\) −16.1483 + 25.1272i −0.218220 + 0.339557i
\(75\) 143.350 + 18.2993i 1.91134 + 0.243990i
\(76\) 48.6731 6.99814i 0.640436 0.0920808i
\(77\) −17.9305 + 61.0657i −0.232864 + 0.793061i
\(78\) 27.2155 + 42.3482i 0.348917 + 0.542925i
\(79\) 83.0782 + 11.9448i 1.05162 + 0.151200i 0.646385 0.763011i \(-0.276280\pi\)
0.405237 + 0.914212i \(0.367189\pi\)
\(80\) −13.2165 15.0108i −0.165206 0.187635i
\(81\) 122.690 268.654i 1.51469 3.31672i
\(82\) −49.4300 7.10697i −0.602805 0.0866703i
\(83\) 12.2049 7.84362i 0.147047 0.0945014i −0.465049 0.885285i \(-0.653963\pi\)
0.612096 + 0.790784i \(0.290327\pi\)
\(84\) −12.4318 + 42.3388i −0.147998 + 0.504033i
\(85\) −59.8621 17.0635i −0.704260 0.200748i
\(86\) −3.94117 + 3.41504i −0.0458276 + 0.0397098i
\(87\) 124.846 194.264i 1.43501 2.23292i
\(88\) −30.8853 + 35.6435i −0.350969 + 0.405040i
\(89\) 31.9185 + 108.704i 0.358635 + 1.22140i 0.919367 + 0.393400i \(0.128701\pi\)
−0.560733 + 0.827997i \(0.689480\pi\)
\(90\) −1.36661 172.632i −0.0151845 1.91814i
\(91\) 23.5029i 0.258274i
\(92\) 33.4178 + 31.6110i 0.363237 + 0.343597i
\(93\) 226.018i 2.43030i
\(94\) 11.8734 + 25.9992i 0.126313 + 0.276587i
\(95\) 121.818 + 16.5316i 1.28229 + 0.174016i
\(96\) −21.4137 + 24.7128i −0.223060 + 0.257425i
\(97\) 142.673 + 91.6905i 1.47086 + 0.945262i 0.997940 + 0.0641554i \(0.0204353\pi\)
0.472917 + 0.881107i \(0.343201\pi\)
\(98\) −36.8007 + 31.8880i −0.375518 + 0.325388i
\(99\) −402.963 + 57.9373i −4.07033 + 0.585226i
\(100\) −21.4882 45.1471i −0.214882 0.451471i
\(101\) −65.7583 + 42.2603i −0.651073 + 0.418419i −0.824058 0.566505i \(-0.808295\pi\)
0.172985 + 0.984924i \(0.444659\pi\)
\(102\) −14.4837 + 100.736i −0.141997 + 0.987610i
\(103\) 28.4575 62.3131i 0.276286 0.604982i −0.719720 0.694264i \(-0.755730\pi\)
0.996006 + 0.0892822i \(0.0284573\pi\)
\(104\) 7.23521 15.8429i 0.0695694 0.152336i
\(105\) −58.9046 + 93.2726i −0.560996 + 0.888310i
\(106\) −14.5116 22.5805i −0.136902 0.213024i
\(107\) −2.53780 0.745166i −0.0237178 0.00696416i 0.269852 0.962902i \(-0.413025\pi\)
−0.293570 + 0.955938i \(0.594843\pi\)
\(108\) −176.396 + 25.3620i −1.63330 + 0.234833i
\(109\) 85.3967 73.9966i 0.783456 0.678868i −0.168296 0.985736i \(-0.553827\pi\)
0.951752 + 0.306868i \(0.0992811\pi\)
\(110\) −98.6826 + 64.5290i −0.897115 + 0.586627i
\(111\) 92.2676 + 79.9504i 0.831240 + 0.720273i
\(112\) 14.6487 4.30126i 0.130792 0.0384041i
\(113\) 25.6108 + 56.0798i 0.226644 + 0.496281i 0.988454 0.151519i \(-0.0484164\pi\)
−0.761810 + 0.647800i \(0.775689\pi\)
\(114\) 200.995i 1.76312i
\(115\) 58.6805 + 98.9020i 0.510265 + 0.860017i
\(116\) −79.8963 −0.688761
\(117\) 136.754 62.4535i 1.16884 0.533791i
\(118\) −21.9186 74.6480i −0.185751 0.632610i
\(119\) 31.1166 35.9105i 0.261484 0.301769i
\(120\) −68.4198 + 44.7400i −0.570165 + 0.372833i
\(121\) 102.843 + 118.687i 0.849939 + 0.980882i
\(122\) 19.5604 + 136.045i 0.160331 + 1.11513i
\(123\) −57.5075 + 195.853i −0.467541 + 1.59230i
\(124\) −65.7857 + 42.2779i −0.530530 + 0.340951i
\(125\) −20.7224 123.270i −0.165779 0.986163i
\(126\) 119.875 + 54.7452i 0.951391 + 0.434486i
\(127\) −72.9488 33.3146i −0.574400 0.262320i 0.106966 0.994263i \(-0.465886\pi\)
−0.681366 + 0.731943i \(0.738614\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) 11.5242 + 17.9320i 0.0893346 + 0.139007i
\(130\) 28.2526 33.1316i 0.217328 0.254858i
\(131\) −1.94305 13.5142i −0.0148324 0.103162i 0.981060 0.193702i \(-0.0620496\pi\)
−0.995893 + 0.0905406i \(0.971141\pi\)
\(132\) 126.242 + 145.691i 0.956381 + 1.10372i
\(133\) −50.7352 + 78.9455i −0.381468 + 0.593575i
\(134\) 79.2470 + 68.6679i 0.591395 + 0.512447i
\(135\) −441.479 59.9120i −3.27021 0.443793i
\(136\) 32.0299 14.6276i 0.235514 0.107556i
\(137\) −20.9822 −0.153155 −0.0765775 0.997064i \(-0.524399\pi\)
−0.0765775 + 0.997064i \(0.524399\pi\)
\(138\) 147.333 116.815i 1.06763 0.846487i
\(139\) 228.591 1.64454 0.822269 0.569100i \(-0.192708\pi\)
0.822269 + 0.569100i \(0.192708\pi\)
\(140\) 38.1667 0.302139i 0.272619 0.00215813i
\(141\) 112.096 32.9143i 0.795005 0.233434i
\(142\) −38.7950 33.6160i −0.273204 0.236733i
\(143\) −86.3791 55.5125i −0.604050 0.388199i
\(144\) 63.9528 + 73.8055i 0.444117 + 0.512538i
\(145\) −192.089 54.7546i −1.32475 0.377618i
\(146\) −40.3560 11.8496i −0.276411 0.0811617i
\(147\) 107.607 + 167.440i 0.732021 + 1.13905i
\(148\) 6.01150 41.8109i 0.0406183 0.282506i
\(149\) −35.3123 16.1266i −0.236995 0.108232i 0.293378 0.955997i \(-0.405221\pi\)
−0.530373 + 0.847765i \(0.677948\pi\)
\(150\) −195.158 + 60.6758i −1.30106 + 0.404505i
\(151\) 0.442458 3.07736i 0.00293019 0.0203799i −0.988304 0.152497i \(-0.951268\pi\)
0.991234 + 0.132117i \(0.0421776\pi\)
\(152\) −58.5025 + 37.5973i −0.384885 + 0.247350i
\(153\) 291.634 + 85.6314i 1.90610 + 0.559682i
\(154\) −12.8092 89.0897i −0.0831764 0.578505i
\(155\) −187.138 + 56.5616i −1.20734 + 0.364914i
\(156\) −59.8894 38.4885i −0.383906 0.246721i
\(157\) 52.4465 60.5265i 0.334054 0.385519i −0.563727 0.825961i \(-0.690633\pi\)
0.897781 + 0.440442i \(0.145178\pi\)
\(158\) −113.890 + 33.4412i −0.720825 + 0.211653i
\(159\) −99.7989 + 45.5767i −0.627666 + 0.286646i
\(160\) 25.8205 + 11.5457i 0.161378 + 0.0721605i
\(161\) −87.3548 + 8.69216i −0.542576 + 0.0539886i
\(162\) 417.679i 2.57827i
\(163\) −120.572 + 55.0633i −0.739704 + 0.337811i −0.749379 0.662142i \(-0.769648\pi\)
0.00967467 + 0.999953i \(0.496920\pi\)
\(164\) 67.7627 19.8969i 0.413187 0.121323i
\(165\) 203.671 + 436.793i 1.23437 + 2.64723i
\(166\) −11.0926 + 17.2603i −0.0668226 + 0.103978i
\(167\) 80.8209 70.0317i 0.483957 0.419351i −0.378407 0.925639i \(-0.623528\pi\)
0.862365 + 0.506288i \(0.168983\pi\)
\(168\) −8.88100 61.7687i −0.0528631 0.367671i
\(169\) −125.772 36.9300i −0.744213 0.218521i
\(170\) 87.0320 13.2173i 0.511953 0.0777490i
\(171\) −594.169 85.4286i −3.47467 0.499583i
\(172\) 3.06369 6.70854i 0.0178121 0.0390031i
\(173\) −203.244 92.8186i −1.17482 0.536524i −0.270228 0.962796i \(-0.587099\pi\)
−0.904595 + 0.426273i \(0.859826\pi\)
\(174\) −46.4762 + 323.249i −0.267105 + 1.85775i
\(175\) 91.9687 + 25.4300i 0.525535 + 0.145314i
\(176\) 18.7912 63.9970i 0.106768 0.363619i
\(177\) −314.765 + 45.2564i −1.77834 + 0.255686i
\(178\) −104.923 121.087i −0.589453 0.680265i
\(179\) −38.3478 24.6447i −0.214234 0.137680i 0.429123 0.903246i \(-0.358823\pi\)
−0.643357 + 0.765566i \(0.722459\pi\)
\(180\) 103.177 + 221.274i 0.573206 + 1.22930i
\(181\) −51.2957 174.697i −0.283402 0.965178i −0.970999 0.239085i \(-0.923152\pi\)
0.687597 0.726093i \(-0.258666\pi\)
\(182\) 13.8076 + 30.2345i 0.0758662 + 0.166124i
\(183\) 561.798 3.06993
\(184\) −61.5601 21.0323i −0.334566 0.114306i
\(185\) 43.1070 96.4034i 0.233011 0.521099i
\(186\) 132.782 + 290.753i 0.713884 + 1.56319i
\(187\) −58.4844 199.180i −0.312751 1.06513i
\(188\) −30.5483 26.4702i −0.162491 0.140799i
\(189\) 183.869 286.107i 0.972854 1.51379i
\(190\) −166.420 + 50.2996i −0.875894 + 0.264735i
\(191\) −240.417 + 34.5667i −1.25873 + 0.180978i −0.739206 0.673480i \(-0.764799\pi\)
−0.519521 + 0.854457i \(0.673890\pi\)
\(192\) 13.0285 44.3711i 0.0678570 0.231100i
\(193\) −145.200 225.935i −0.752331 1.17065i −0.980402 0.197005i \(-0.936878\pi\)
0.228071 0.973644i \(-0.426758\pi\)
\(194\) −237.404 34.1335i −1.22373 0.175946i
\(195\) −117.611 133.579i −0.603133 0.685020i
\(196\) 28.6072 62.6411i 0.145955 0.319598i
\(197\) 301.100 + 43.2916i 1.52842 + 0.219754i 0.854658 0.519191i \(-0.173767\pi\)
0.673766 + 0.738945i \(0.264676\pi\)
\(198\) 484.340 311.266i 2.44616 1.57205i
\(199\) 58.6417 199.715i 0.294682 1.00359i −0.670477 0.741930i \(-0.733911\pi\)
0.965159 0.261664i \(-0.0842713\pi\)
\(200\) 54.1660 + 45.4538i 0.270830 + 0.227269i
\(201\) 323.919 280.677i 1.61154 1.39640i
\(202\) 59.7651 92.9963i 0.295867 0.460378i
\(203\) 99.8490 115.232i 0.491867 0.567645i
\(204\) −40.5491 138.097i −0.198770 0.676948i
\(205\) 176.553 1.39765i 0.861235 0.00681779i
\(206\) 96.8788i 0.470286i
\(207\) −282.701 485.185i −1.36570 2.34389i
\(208\) 24.6311i 0.118419i
\(209\) 170.311 + 372.929i 0.814884 + 1.78435i
\(210\) 20.9794 154.593i 0.0999019 0.736156i
\(211\) 137.216 158.356i 0.650315 0.750503i −0.330848 0.943684i \(-0.607335\pi\)
0.981163 + 0.193181i \(0.0618803\pi\)
\(212\) 31.9337 + 20.5225i 0.150630 + 0.0968043i
\(213\) −158.573 + 137.404i −0.744474 + 0.645090i
\(214\) 3.70244 0.532330i 0.0173011 0.00248752i
\(215\) 11.9633 14.0293i 0.0556433 0.0652525i
\(216\) 212.019 136.256i 0.981569 0.630816i
\(217\) 21.2385 147.717i 0.0978731 0.680722i
\(218\) −66.3835 + 145.360i −0.304511 + 0.666787i
\(219\) −71.4172 + 156.382i −0.326106 + 0.714072i
\(220\) 89.0369 140.986i 0.404713 0.640844i
\(221\) 41.4456 + 64.4906i 0.187537 + 0.291813i
\(222\) −165.664 48.6434i −0.746234 0.219114i
\(223\) −372.976 + 53.6258i −1.67254 + 0.240475i −0.912403 0.409292i \(-0.865776\pi\)
−0.760134 + 0.649767i \(0.774867\pi\)
\(224\) −16.3174 + 14.1391i −0.0728456 + 0.0631210i
\(225\) 96.4181 + 602.703i 0.428525 + 2.67868i
\(226\) −65.8921 57.0959i −0.291558 0.252637i
\(227\) 141.940 41.6774i 0.625288 0.183601i 0.0462871 0.998928i \(-0.485261\pi\)
0.579001 + 0.815327i \(0.303443\pi\)
\(228\) 118.082 + 258.563i 0.517903 + 1.13405i
\(229\) 194.730i 0.850351i 0.905111 + 0.425175i \(0.139788\pi\)
−0.905111 + 0.425175i \(0.860212\pi\)
\(230\) −133.591 92.7550i −0.580830 0.403282i
\(231\) −367.895 −1.59262
\(232\) 102.780 46.9379i 0.443016 0.202319i
\(233\) 41.9651 + 142.920i 0.180108 + 0.613391i 0.999210 + 0.0397429i \(0.0126539\pi\)
−0.819102 + 0.573648i \(0.805528\pi\)
\(234\) −139.232 + 160.682i −0.595008 + 0.686676i
\(235\) −55.3045 84.5759i −0.235338 0.359898i
\(236\) 72.0511 + 83.1514i 0.305301 + 0.352336i
\(237\) 69.0476 + 480.237i 0.291340 + 2.02632i
\(238\) −18.9320 + 64.4763i −0.0795460 + 0.270909i
\(239\) 101.483 65.2193i 0.424616 0.272884i −0.310833 0.950465i \(-0.600608\pi\)
0.735449 + 0.677581i \(0.236971\pi\)
\(240\) 61.7321 97.7498i 0.257217 0.407291i
\(241\) −179.755 82.0916i −0.745873 0.340629i 0.00596001 0.999982i \(-0.498103\pi\)
−0.751833 + 0.659353i \(0.770830\pi\)
\(242\) −202.025 92.2617i −0.834814 0.381247i
\(243\) 896.087 + 128.838i 3.68760 + 0.530197i
\(244\) −105.087 163.519i −0.430686 0.670160i
\(245\) 111.708 130.999i 0.455950 0.534689i
\(246\) −41.0821 285.732i −0.167000 1.16151i
\(247\) −99.1461 114.421i −0.401401 0.463242i
\(248\) 59.7900 93.0350i 0.241089 0.375141i
\(249\) 63.3803 + 54.9193i 0.254539 + 0.220559i
\(250\) 99.0771 + 146.403i 0.396309 + 0.585610i
\(251\) −130.163 + 59.4434i −0.518578 + 0.236826i −0.657470 0.753481i \(-0.728373\pi\)
0.138892 + 0.990308i \(0.455646\pi\)
\(252\) −186.371 −0.739569
\(253\) −174.381 + 341.581i −0.689251 + 1.35012i
\(254\) 113.414 0.446513
\(255\) −2.84834 359.807i −0.0111700 1.41101i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −346.782 300.488i −1.34935 1.16921i −0.969761 0.244058i \(-0.921521\pi\)
−0.379585 0.925157i \(-0.623933\pi\)
\(258\) −25.3596 16.2976i −0.0982931 0.0631691i
\(259\) 52.7898 + 60.9227i 0.203822 + 0.235223i
\(260\) −16.8802 + 59.2189i −0.0649239 + 0.227765i
\(261\) 935.814 + 274.780i 3.58549 + 1.05280i
\(262\) 10.4390 + 16.2433i 0.0398433 + 0.0619974i
\(263\) 4.68619 32.5931i 0.0178182 0.123928i −0.978971 0.204000i \(-0.934606\pi\)
0.996789 + 0.0800716i \(0.0255149\pi\)
\(264\) −247.992 113.254i −0.939362 0.428992i
\(265\) 62.7114 + 71.2257i 0.236647 + 0.268776i
\(266\) 18.8871 131.363i 0.0710042 0.493845i
\(267\) −550.935 + 354.065i −2.06343 + 1.32608i
\(268\) −142.286 41.7789i −0.530917 0.155891i
\(269\) 37.2780 + 259.274i 0.138580 + 0.963844i 0.933869 + 0.357614i \(0.116410\pi\)
−0.795289 + 0.606230i \(0.792681\pi\)
\(270\) 603.122 182.291i 2.23379 0.675151i
\(271\) 271.698 + 174.610i 1.00258 + 0.644317i 0.935462 0.353428i \(-0.114984\pi\)
0.0671151 + 0.997745i \(0.478621\pi\)
\(272\) −32.6103 + 37.6342i −0.119891 + 0.138361i
\(273\) 130.357 38.2761i 0.477496 0.140206i
\(274\) 26.9919 12.3268i 0.0985104 0.0449882i
\(275\) 310.686 277.943i 1.12977 1.01070i
\(276\) −120.904 + 236.829i −0.438056 + 0.858074i
\(277\) 144.493i 0.521635i 0.965388 + 0.260817i \(0.0839920\pi\)
−0.965388 + 0.260817i \(0.916008\pi\)
\(278\) −294.062 + 134.294i −1.05778 + 0.483071i
\(279\) 915.940 268.944i 3.28294 0.963958i
\(280\) −48.9207 + 22.8111i −0.174717 + 0.0814681i
\(281\) −7.95101 + 12.3720i −0.0282954 + 0.0440285i −0.855113 0.518441i \(-0.826512\pi\)
0.826818 + 0.562470i \(0.190149\pi\)
\(282\) −124.865 + 108.196i −0.442783 + 0.383674i
\(283\) −47.6910 331.698i −0.168519 1.17208i −0.881947 0.471349i \(-0.843767\pi\)
0.713427 0.700729i \(-0.247142\pi\)
\(284\) 69.6554 + 20.4527i 0.245265 + 0.0720164i
\(285\) 106.698 + 702.570i 0.374377 + 2.46516i
\(286\) 143.732 + 20.6655i 0.502560 + 0.0722572i
\(287\) −55.9886 + 122.598i −0.195082 + 0.427170i
\(288\) −125.629 57.3731i −0.436213 0.199212i
\(289\) 19.0723 132.651i 0.0659940 0.458999i
\(290\) 279.274 42.4126i 0.963014 0.146250i
\(291\) −276.198 + 940.645i −0.949135 + 3.23246i
\(292\) 58.8761 8.46510i 0.201630 0.0289901i
\(293\) −166.553 192.212i −0.568440 0.656015i 0.396638 0.917975i \(-0.370177\pi\)
−0.965079 + 0.261960i \(0.915631\pi\)
\(294\) −236.796 152.179i −0.805428 0.517617i
\(295\) 116.242 + 249.293i 0.394041 + 0.845062i
\(296\) 16.8300 + 57.3178i 0.0568582 + 0.193641i
\(297\) −617.223 1351.53i −2.07819 4.55061i
\(298\) 54.9003 0.184229
\(299\) 26.2500 139.175i 0.0877928 0.465468i
\(300\) 215.408 192.707i 0.718027 0.642356i
\(301\) 5.84672 + 12.8025i 0.0194243 + 0.0425334i
\(302\) 1.23872 + 4.21870i 0.00410173 + 0.0139692i
\(303\) −341.484 295.898i −1.12701 0.976560i
\(304\) 53.1706 82.7350i 0.174903 0.272155i
\(305\) −140.591 465.157i −0.460955 1.52510i
\(306\) −425.469 + 61.1732i −1.39042 + 0.199912i
\(307\) −112.595 + 383.465i −0.366760 + 1.24907i 0.545030 + 0.838416i \(0.316518\pi\)
−0.911791 + 0.410655i \(0.865300\pi\)
\(308\) 68.8168 + 107.081i 0.223431 + 0.347666i
\(309\) 391.958 + 56.3550i 1.26847 + 0.182379i
\(310\) 207.508 182.703i 0.669380 0.589363i
\(311\) −61.3111 + 134.253i −0.197142 + 0.431680i −0.982224 0.187711i \(-0.939893\pi\)
0.785082 + 0.619391i \(0.212621\pi\)
\(312\) 99.6540 + 14.3281i 0.319404 + 0.0459233i
\(313\) 101.892 65.4819i 0.325533 0.209208i −0.367658 0.929961i \(-0.619840\pi\)
0.693191 + 0.720753i \(0.256204\pi\)
\(314\) −31.9095 + 108.674i −0.101623 + 0.346095i
\(315\) −448.080 127.724i −1.42248 0.405473i
\(316\) 126.864 109.928i 0.401468 0.347874i
\(317\) 120.408 187.358i 0.379834 0.591034i −0.597723 0.801703i \(-0.703928\pi\)
0.977558 + 0.210669i \(0.0675641\pi\)
\(318\) 101.607 117.261i 0.319519 0.368745i
\(319\) −187.669 639.140i −0.588303 2.00357i
\(320\) −39.9987 + 0.316642i −0.124996 + 0.000989505i
\(321\) 15.2892i 0.0476299i
\(322\) 107.268 62.5014i 0.333130 0.194104i
\(323\) 306.089i 0.947644i
\(324\) −245.381 537.309i −0.757347 1.65836i
\(325\) −81.1680 + 130.808i −0.249748 + 0.402485i
\(326\) 122.756 141.668i 0.376553 0.434565i
\(327\) 549.488 + 353.135i 1.68039 + 1.07992i
\(328\) −75.4817 + 65.4053i −0.230127 + 0.199406i
\(329\) 76.3543 10.9781i 0.232080 0.0333681i
\(330\) −518.614 442.243i −1.57156 1.34013i
\(331\) −412.486 + 265.089i −1.24618 + 0.800872i −0.986331 0.164777i \(-0.947310\pi\)
−0.259851 + 0.965649i \(0.583673\pi\)
\(332\) 4.12941 28.7207i 0.0124380 0.0865080i
\(333\) −214.208 + 469.050i −0.643268 + 1.40856i
\(334\) −62.8265 + 137.571i −0.188103 + 0.411889i
\(335\) −313.456 197.958i −0.935691 0.590918i
\(336\) 47.7129 + 74.2427i 0.142003 + 0.220960i
\(337\) −265.423 77.9352i −0.787606 0.231262i −0.136893 0.990586i \(-0.543712\pi\)
−0.650713 + 0.759324i \(0.725530\pi\)
\(338\) 183.491 26.3820i 0.542872 0.0780532i
\(339\) −269.332 + 233.377i −0.794488 + 0.688428i
\(340\) −104.194 + 68.1330i −0.306453 + 0.200391i
\(341\) −492.731 426.954i −1.44496 1.25206i
\(342\) 814.536 239.169i 2.38168 0.699325i
\(343\) 132.286 + 289.666i 0.385673 + 0.844507i
\(344\) 10.4298i 0.0303193i
\(345\) −452.984 + 486.533i −1.31300 + 1.41024i
\(346\) 315.986 0.913254
\(347\) 390.792 178.469i 1.12620 0.514320i 0.236852 0.971546i \(-0.423884\pi\)
0.889351 + 0.457226i \(0.151157\pi\)
\(348\) −130.117 443.136i −0.373898 1.27338i
\(349\) −16.7211 + 19.2972i −0.0479114 + 0.0552927i −0.779199 0.626776i \(-0.784374\pi\)
0.731288 + 0.682069i \(0.238920\pi\)
\(350\) −133.250 + 21.3167i −0.380713 + 0.0609050i
\(351\) 359.315 + 414.672i 1.02369 + 1.18140i
\(352\) 13.4240 + 93.3661i 0.0381364 + 0.265245i
\(353\) 64.2914 218.956i 0.182129 0.620273i −0.816924 0.576746i \(-0.804322\pi\)
0.999052 0.0435271i \(-0.0138595\pi\)
\(354\) 378.331 243.139i 1.06873 0.686832i
\(355\) 153.451 + 96.9092i 0.432256 + 0.272984i
\(356\) 206.111 + 94.1277i 0.578963 + 0.264404i
\(357\) 249.849 + 114.102i 0.699857 + 0.319614i
\(358\) 63.8096 + 9.17443i 0.178239 + 0.0256269i
\(359\) −37.0027 57.5774i −0.103072 0.160383i 0.785887 0.618370i \(-0.212207\pi\)
−0.888959 + 0.457988i \(0.848570\pi\)
\(360\) −262.724 224.035i −0.729788 0.622319i
\(361\) 34.6554 + 241.033i 0.0959983 + 0.667683i
\(362\) 168.620 + 194.597i 0.465800 + 0.537562i
\(363\) −490.797 + 763.695i −1.35206 + 2.10384i
\(364\) −35.5247 30.7823i −0.0975953 0.0845668i
\(365\) 147.353 + 19.9969i 0.403707 + 0.0547861i
\(366\) −722.705 + 330.048i −1.97460 + 0.901771i
\(367\) −663.038 −1.80664 −0.903322 0.428964i \(-0.858879\pi\)
−0.903322 + 0.428964i \(0.858879\pi\)
\(368\) 91.5479 9.10940i 0.248771 0.0247538i
\(369\) −862.124 −2.33638
\(370\) 1.18221 + 149.339i 0.00319517 + 0.403620i
\(371\) −69.5075 + 20.4092i −0.187352 + 0.0550114i
\(372\) −341.626 296.021i −0.918350 0.795755i
\(373\) −120.397 77.3744i −0.322780 0.207438i 0.369209 0.929347i \(-0.379629\pi\)
−0.691989 + 0.721908i \(0.743265\pi\)
\(374\) 192.250 + 221.869i 0.514038 + 0.593231i
\(375\) 649.958 315.688i 1.73322 0.841836i
\(376\) 54.8486 + 16.1050i 0.145874 + 0.0428324i
\(377\) 132.993 + 206.942i 0.352767 + 0.548917i
\(378\) −68.4488 + 476.072i −0.181082 + 1.25945i
\(379\) 418.133 + 190.955i 1.10325 + 0.503839i 0.881939 0.471363i \(-0.156238\pi\)
0.221315 + 0.975202i \(0.428965\pi\)
\(380\) 184.534 162.475i 0.485617 0.427567i
\(381\) 65.9738 458.858i 0.173159 1.20435i
\(382\) 288.968 185.709i 0.756461 0.486148i
\(383\) 161.850 + 47.5233i 0.422584 + 0.124082i 0.486109 0.873898i \(-0.338416\pi\)
−0.0635246 + 0.997980i \(0.520234\pi\)
\(384\) 9.30730 + 64.7337i 0.0242378 + 0.168577i
\(385\) 92.0668 + 304.609i 0.239134 + 0.791193i
\(386\) 319.521 + 205.344i 0.827774 + 0.531978i
\(387\) −58.9565 + 68.0395i −0.152342 + 0.175813i
\(388\) 325.452 95.5614i 0.838794 0.246292i
\(389\) −159.116 + 72.6658i −0.409038 + 0.186802i −0.609298 0.792941i \(-0.708549\pi\)
0.200260 + 0.979743i \(0.435821\pi\)
\(390\) 229.772 + 102.743i 0.589159 + 0.263444i
\(391\) 224.368 177.894i 0.573831 0.454972i
\(392\) 97.3887i 0.248441i
\(393\) 71.7905 32.7856i 0.182673 0.0834240i
\(394\) −412.772 + 121.201i −1.04764 + 0.307616i
\(395\) 380.346 177.350i 0.962902 0.448988i
\(396\) −440.197 + 684.960i −1.11161 + 1.72970i
\(397\) 578.653 501.406i 1.45757 1.26299i 0.555409 0.831577i \(-0.312562\pi\)
0.902156 0.431410i \(-0.141984\pi\)
\(398\) 41.8923 + 291.368i 0.105257 + 0.732080i
\(399\) −520.488 152.829i −1.30448 0.383031i
\(400\) −96.3833 26.6507i −0.240958 0.0666267i
\(401\) 137.452 + 19.7626i 0.342774 + 0.0492834i 0.311552 0.950229i \(-0.399151\pi\)
0.0312215 + 0.999512i \(0.490060\pi\)
\(402\) −251.800 + 551.365i −0.626368 + 1.37155i
\(403\) 219.010 + 100.019i 0.543450 + 0.248185i
\(404\) −22.2487 + 154.743i −0.0550710 + 0.383027i
\(405\) −221.723 1459.98i −0.547465 3.60489i
\(406\) −60.7501 + 206.896i −0.149631 + 0.509596i
\(407\) 348.592 50.1200i 0.856491 0.123145i
\(408\) 133.293 + 153.828i 0.326699 + 0.377031i
\(409\) −530.417 340.878i −1.29686 0.833444i −0.303997 0.952673i \(-0.598321\pi\)
−0.992867 + 0.119229i \(0.961958\pi\)
\(410\) −226.299 + 105.520i −0.551949 + 0.257367i
\(411\) −34.1710 116.376i −0.0831411 0.283153i
\(412\) −56.9149 124.626i −0.138143 0.302491i
\(413\) −209.971 −0.508405
\(414\) 648.709 + 458.066i 1.56693 + 1.10644i
\(415\) 29.6109 66.2212i 0.0713516 0.159569i
\(416\) −14.4704 31.6858i −0.0347847 0.0761678i
\(417\) 372.275 + 1267.85i 0.892746 + 3.04041i
\(418\) −438.180 379.686i −1.04828 0.908339i
\(419\) −150.391 + 234.014i −0.358930 + 0.558505i −0.973017 0.230733i \(-0.925888\pi\)
0.614088 + 0.789238i \(0.289524\pi\)
\(420\) 63.8328 + 211.195i 0.151983 + 0.502846i
\(421\) −46.9239 + 6.74664i −0.111458 + 0.0160253i −0.197818 0.980239i \(-0.563386\pi\)
0.0863600 + 0.996264i \(0.472476\pi\)
\(422\) −83.4852 + 284.324i −0.197832 + 0.673754i
\(423\) 266.771 + 415.103i 0.630664 + 0.981332i
\(424\) −53.1366 7.63989i −0.125322 0.0180186i
\(425\) −297.200 + 92.4011i −0.699294 + 0.217414i
\(426\) 123.267 269.918i 0.289360 0.633611i
\(427\) 367.170 + 52.7910i 0.859882 + 0.123632i
\(428\) −4.45013 + 2.85992i −0.0103975 + 0.00668207i
\(429\) 167.220 569.498i 0.389789 1.32750i
\(430\) −7.14778 + 25.0757i −0.0166227 + 0.0583157i
\(431\) −91.9213 + 79.6503i −0.213275 + 0.184803i −0.754946 0.655787i \(-0.772337\pi\)
0.541672 + 0.840590i \(0.317792\pi\)
\(432\) −192.695 + 299.840i −0.446054 + 0.694074i
\(433\) −525.241 + 606.160i −1.21303 + 1.39991i −0.321519 + 0.946903i \(0.604193\pi\)
−0.891508 + 0.453005i \(0.850352\pi\)
\(434\) 59.4600 + 202.502i 0.137005 + 0.466595i
\(435\) −9.13994 1154.57i −0.0210114 2.65419i
\(436\) 225.992i 0.518330i
\(437\) −388.606 + 410.819i −0.889260 + 0.940088i
\(438\) 243.128i 0.555087i
\(439\) 54.2440 + 118.778i 0.123563 + 0.270564i 0.961297 0.275513i \(-0.0888477\pi\)
−0.837735 + 0.546077i \(0.816120\pi\)
\(440\) −31.7113 + 233.674i −0.0720711 + 0.531077i
\(441\) −550.508 + 635.320i −1.24832 + 1.44063i
\(442\) −91.2035 58.6129i −0.206343 0.132608i
\(443\) −225.655 + 195.531i −0.509379 + 0.441379i −0.871243 0.490851i \(-0.836686\pi\)
0.361864 + 0.932231i \(0.382140\pi\)
\(444\) 241.690 34.7497i 0.544346 0.0782652i
\(445\) 431.031 + 367.557i 0.968609 + 0.825971i
\(446\) 448.297 288.103i 1.00515 0.645971i
\(447\) 31.9359 222.119i 0.0714449 0.496910i
\(448\) 12.6844 27.7750i 0.0283134 0.0619977i
\(449\) 0.502642 1.10063i 0.00111947 0.00245130i −0.909071 0.416640i \(-0.863207\pi\)
0.910191 + 0.414189i \(0.135935\pi\)
\(450\) −478.113 718.681i −1.06247 1.59707i
\(451\) 318.336 + 495.340i 0.705844 + 1.09832i
\(452\) 118.308 + 34.7382i 0.261742 + 0.0768545i
\(453\) 17.7888 2.55765i 0.0392689 0.00564602i
\(454\) −158.109 + 137.002i −0.348258 + 0.301767i
\(455\) −64.3139 98.3537i −0.141349 0.216162i
\(456\) −303.804 263.248i −0.666238 0.577298i
\(457\) 736.337 216.208i 1.61124 0.473103i 0.652595 0.757707i \(-0.273680\pi\)
0.958645 + 0.284604i \(0.0918623\pi\)
\(458\) −114.401 250.504i −0.249784 0.546952i
\(459\) 1109.30i 2.41677i
\(460\) 226.345 + 40.8386i 0.492055 + 0.0887795i
\(461\) −832.544 −1.80595 −0.902976 0.429692i \(-0.858622\pi\)
−0.902976 + 0.429692i \(0.858622\pi\)
\(462\) 473.266 216.133i 1.02438 0.467821i
\(463\) 106.190 + 361.649i 0.229351 + 0.781099i 0.991088 + 0.133212i \(0.0425290\pi\)
−0.761736 + 0.647887i \(0.775653\pi\)
\(464\) −104.642 + 120.763i −0.225521 + 0.260266i
\(465\) −618.480 945.826i −1.33006 2.03403i
\(466\) −137.948 159.200i −0.296026 0.341632i
\(467\) 27.2409 + 189.464i 0.0583316 + 0.405705i 0.997978 + 0.0635585i \(0.0202449\pi\)
−0.939646 + 0.342147i \(0.888846\pi\)
\(468\) 84.7114 288.501i 0.181007 0.616454i
\(469\) 238.076 153.002i 0.507624 0.326230i
\(470\) 120.832 + 76.3090i 0.257089 + 0.162360i
\(471\) 421.116 + 192.317i 0.894090 + 0.408317i
\(472\) −141.538 64.6381i −0.299868 0.136945i
\(473\) 60.8621 + 8.75064i 0.128672 + 0.0185003i
\(474\) −370.956 577.219i −0.782607 1.21776i
\(475\) 555.012 264.163i 1.16845 0.556133i
\(476\) −13.5246 94.0655i −0.0284130 0.197617i
\(477\) −303.453 350.203i −0.636170 0.734179i
\(478\) −92.2340 + 143.519i −0.192958 + 0.300249i
\(479\) −56.4660 48.9281i −0.117883 0.102146i 0.593925 0.804521i \(-0.297578\pi\)
−0.711808 + 0.702374i \(0.752123\pi\)
\(480\) −21.9864 + 162.013i −0.0458051 + 0.337528i
\(481\) −118.302 + 54.0268i −0.245950 + 0.112322i
\(482\) 279.467 0.579808
\(483\) −190.473 470.348i −0.394354 0.973805i
\(484\) 314.090 0.648947
\(485\) 847.953 6.71264i 1.74836 0.0138405i
\(486\) −1228.43 + 360.699i −2.52763 + 0.742180i
\(487\) 360.559 + 312.426i 0.740368 + 0.641532i 0.941106 0.338113i \(-0.109789\pi\)
−0.200738 + 0.979645i \(0.564334\pi\)
\(488\) 231.251 + 148.616i 0.473875 + 0.304541i
\(489\) −501.761 579.064i −1.02610 1.18418i
\(490\) −66.7425 + 234.145i −0.136209 + 0.477847i
\(491\) 530.193 + 155.679i 1.07982 + 0.317065i 0.772808 0.634640i \(-0.218852\pi\)
0.307015 + 0.951705i \(0.400670\pi\)
\(492\) 220.712 + 343.435i 0.448602 + 0.698038i
\(493\) −70.7770 + 492.265i −0.143564 + 0.998509i
\(494\) 194.763 + 88.9455i 0.394258 + 0.180052i
\(495\) −1527.75 + 1345.13i −3.08637 + 2.71743i
\(496\) −22.2579 + 154.807i −0.0448749 + 0.312112i
\(497\) −116.549 + 74.9014i −0.234505 + 0.150707i
\(498\) −113.798 33.4140i −0.228509 0.0670963i
\(499\) −0.383912 2.67017i −0.000769363 0.00535103i 0.989433 0.144990i \(-0.0463149\pi\)
−0.990203 + 0.139639i \(0.955406\pi\)
\(500\) −213.464 130.128i −0.426927 0.260256i
\(501\) 520.045 + 334.213i 1.03801 + 0.667091i
\(502\) 132.521 152.938i 0.263987 0.304657i
\(503\) −301.464 + 88.5179i −0.599333 + 0.175980i −0.567306 0.823507i \(-0.692014\pi\)
−0.0320268 + 0.999487i \(0.510196\pi\)
\(504\) 239.751 109.490i 0.475696 0.217243i
\(505\) −159.540 + 356.791i −0.315920 + 0.706516i
\(506\) 23.6520 541.860i 0.0467431 1.07087i
\(507\) 757.724i 1.49452i
\(508\) −145.898 + 66.6292i −0.287200 + 0.131160i
\(509\) −689.631 + 202.494i −1.35487 + 0.397827i −0.876953 0.480576i \(-0.840428\pi\)
−0.477921 + 0.878403i \(0.658610\pi\)
\(510\) 215.046 + 461.188i 0.421659 + 0.904290i
\(511\) −61.3704 + 95.4942i −0.120099 + 0.186877i
\(512\) 17.1007 14.8178i 0.0333997 0.0289410i
\(513\) −311.785 2168.51i −0.607768 4.22712i
\(514\) 622.637 + 182.823i 1.21136 + 0.355686i
\(515\) −51.4277 338.636i −0.0998596 0.657545i
\(516\) 42.1976 + 6.06710i 0.0817783 + 0.0117579i
\(517\) 139.997 306.550i 0.270787 0.592941i
\(518\) −103.701 47.3585i −0.200194 0.0914257i
\(519\) 183.811 1278.43i 0.354164 2.46326i
\(520\) −13.0753 86.0970i −0.0251449 0.165571i
\(521\) −123.846 + 421.780i −0.237708 + 0.809558i 0.751078 + 0.660214i \(0.229534\pi\)
−0.988785 + 0.149344i \(0.952284\pi\)
\(522\) −1365.27 + 196.297i −2.61547 + 0.376047i
\(523\) −161.006 185.811i −0.307850 0.355278i 0.580651 0.814153i \(-0.302798\pi\)
−0.888501 + 0.458874i \(0.848253\pi\)
\(524\) −22.9715 14.7629i −0.0438388 0.0281735i
\(525\) 8.73235 + 551.509i 0.0166331 + 1.05049i
\(526\) 13.1196 + 44.6813i 0.0249422 + 0.0849455i
\(527\) 202.210 + 442.778i 0.383700 + 0.840185i
\(528\) 385.555 0.730217
\(529\) −526.988 46.0935i −0.996197 0.0871333i
\(530\) −122.517 54.7837i −0.231164 0.103365i
\(531\) −557.949 1221.74i −1.05075 2.30082i
\(532\) 52.8771 + 180.083i 0.0993931 + 0.338502i
\(533\) −164.332 142.394i −0.308314 0.267156i
\(534\) 500.723 779.140i 0.937684 1.45906i
\(535\) −12.6591 + 3.82616i −0.0236619 + 0.00715170i
\(536\) 207.583 29.8459i 0.387282 0.0556827i
\(537\) 74.2369 252.828i 0.138244 0.470815i
\(538\) −200.275 311.634i −0.372258 0.579244i
\(539\) 568.301 + 81.7093i 1.05436 + 0.151594i
\(540\) −668.771 + 588.827i −1.23847 + 1.09042i
\(541\) −149.182 + 326.664i −0.275753 + 0.603815i −0.995945 0.0899592i \(-0.971326\pi\)
0.720192 + 0.693775i \(0.244054\pi\)
\(542\) −452.097 65.0018i −0.834128 0.119929i
\(543\) 885.400 569.012i 1.63057 1.04790i
\(544\) 19.8407 67.5713i 0.0364719 0.124212i
\(545\) 154.877 543.337i 0.284178 0.996949i
\(546\) −145.206 + 125.821i −0.265945 + 0.230442i
\(547\) −89.8439 + 139.800i −0.164248 + 0.255575i −0.913616 0.406579i \(-0.866721\pi\)
0.749367 + 0.662155i \(0.230358\pi\)
\(548\) −27.4809 + 31.7146i −0.0501476 + 0.0578734i
\(549\) 668.497 + 2276.69i 1.21766 + 4.14698i
\(550\) −236.383 + 540.074i −0.429787 + 0.981952i
\(551\) 982.199i 1.78257i
\(552\) 16.3987 375.689i 0.0297077 0.680595i
\(553\) 320.353i 0.579299i
\(554\) −84.8874 185.878i −0.153226 0.335519i
\(555\) 604.893 + 82.0886i 1.08990 + 0.147907i
\(556\) 299.390 345.515i 0.538471 0.621429i
\(557\) 319.500 + 205.330i 0.573608 + 0.368636i 0.795056 0.606537i \(-0.207442\pi\)
−0.221447 + 0.975172i \(0.571078\pi\)
\(558\) −1020.28 + 884.075i −1.82845 + 1.58436i
\(559\) −22.4757 + 3.23152i −0.0402070 + 0.00578089i
\(560\) 49.5311 58.0846i 0.0884483 0.103723i
\(561\) 1009.48 648.754i 1.79943 1.15642i
\(562\) 2.95991 20.5866i 0.00526675 0.0366310i
\(563\) 2.72014 5.95627i 0.00483150 0.0105795i −0.907201 0.420698i \(-0.861785\pi\)
0.912032 + 0.410118i \(0.134513\pi\)
\(564\) 97.0642 212.541i 0.172100 0.376846i
\(565\) 260.632 + 164.597i 0.461296 + 0.291323i
\(566\) 256.218 + 398.683i 0.452682 + 0.704387i
\(567\) 1081.60 + 317.587i 1.90759 + 0.560119i
\(568\) −101.621 + 14.6109i −0.178911 + 0.0257235i
\(569\) 443.936 384.672i 0.780203 0.676050i −0.170774 0.985310i \(-0.554627\pi\)
0.950977 + 0.309260i \(0.100081\pi\)
\(570\) −550.007 841.113i −0.964925 1.47564i
\(571\) −738.606 640.006i −1.29353 1.12085i −0.985536 0.169463i \(-0.945797\pi\)
−0.307995 0.951388i \(-0.599658\pi\)
\(572\) −197.040 + 57.8560i −0.344475 + 0.101147i
\(573\) −583.255 1277.15i −1.01790 2.22889i
\(574\) 190.604i 0.332063i
\(575\) 516.199 + 253.305i 0.897738 + 0.440530i
\(576\) 195.317 0.339093
\(577\) −446.167 + 203.758i −0.773254 + 0.353133i −0.762651 0.646811i \(-0.776102\pi\)
−0.0106031 + 0.999944i \(0.503375\pi\)
\(578\) 53.3955 + 181.848i 0.0923797 + 0.314616i
\(579\) 1016.66 1173.29i 1.75589 2.02640i
\(580\) −334.345 + 218.630i −0.576457 + 0.376948i
\(581\) 36.2622 + 41.8489i 0.0624135 + 0.0720290i
\(582\) −197.310 1372.32i −0.339021 2.35794i
\(583\) −89.1633 + 303.662i −0.152939 + 0.520862i
\(584\) −70.7658 + 45.4784i −0.121174 + 0.0778741i
\(585\) 401.381 635.568i 0.686122 1.08644i
\(586\) 327.178 + 149.417i 0.558325 + 0.254978i
\(587\) −546.236 249.458i −0.930555 0.424970i −0.108319 0.994116i \(-0.534547\pi\)
−0.822237 + 0.569146i \(0.807274\pi\)
\(588\) 394.021 + 56.6516i 0.670103 + 0.0963463i
\(589\) −519.740 808.731i −0.882410 1.37306i
\(590\) −295.992 252.404i −0.501681 0.427803i
\(591\) 250.249 + 1740.52i 0.423433 + 2.94504i
\(592\) −55.3238 63.8470i −0.0934523 0.107850i
\(593\) 431.600 671.582i 0.727824 1.13252i −0.258229 0.966084i \(-0.583139\pi\)
0.986053 0.166433i \(-0.0532248\pi\)
\(594\) 1588.01 + 1376.02i 2.67342 + 2.31653i
\(595\) 31.9488 235.424i 0.0536955 0.395671i
\(596\) −70.6245 + 32.2531i −0.118498 + 0.0541160i
\(597\) 1203.20 2.01541
\(598\) 47.9949 + 194.458i 0.0802591 + 0.325181i
\(599\) 104.218 0.173986 0.0869930 0.996209i \(-0.472274\pi\)
0.0869930 + 0.996209i \(0.472274\pi\)
\(600\) −163.892 + 374.450i −0.273153 + 0.624083i
\(601\) −546.249 + 160.393i −0.908901 + 0.266877i −0.702578 0.711607i \(-0.747968\pi\)
−0.206323 + 0.978484i \(0.566150\pi\)
\(602\) −15.0426 13.0345i −0.0249877 0.0216520i
\(603\) 1522.89 + 978.700i 2.52552 + 1.62305i
\(604\) −4.07193 4.69926i −0.00674161 0.00778024i
\(605\) 755.146 + 215.253i 1.24817 + 0.355789i
\(606\) 613.125 + 180.030i 1.01176 + 0.297079i
\(607\) −312.005 485.490i −0.514012 0.799819i 0.483116 0.875557i \(-0.339505\pi\)
−0.997128 + 0.0757380i \(0.975869\pi\)
\(608\) −19.7937 + 137.668i −0.0325555 + 0.226428i
\(609\) 801.732 + 366.139i 1.31647 + 0.601213i
\(610\) 454.131 + 515.788i 0.744478 + 0.845555i
\(611\) −17.7114 + 123.185i −0.0289876 + 0.201613i
\(612\) 511.391 328.651i 0.835606 0.537011i
\(613\) 101.886 + 29.9164i 0.166209 + 0.0488033i 0.363778 0.931486i \(-0.381487\pi\)
−0.197569 + 0.980289i \(0.563305\pi\)
\(614\) −80.4357 559.443i −0.131003 0.911145i
\(615\) 295.280 + 976.956i 0.480131 + 1.58855i
\(616\) −151.435 97.3217i −0.245837 0.157990i
\(617\) −774.229 + 893.508i −1.25483 + 1.44815i −0.410911 + 0.911676i \(0.634789\pi\)
−0.843917 + 0.536473i \(0.819756\pi\)
\(618\) −537.328 + 157.774i −0.869462 + 0.255297i
\(619\) 18.0213 8.23007i 0.0291136 0.0132958i −0.400805 0.916163i \(-0.631270\pi\)
0.429919 + 0.902868i \(0.358542\pi\)
\(620\) −159.606 + 356.939i −0.257429 + 0.575708i
\(621\) 1408.35 1488.85i 2.26787 2.39750i
\(622\) 208.724i 0.335569i
\(623\) −393.341 + 179.633i −0.631366 + 0.288335i
\(624\) −136.614 + 40.1134i −0.218932 + 0.0642843i
\(625\) −424.037 459.149i −0.678459 0.734638i
\(626\) −92.6055 + 144.097i −0.147932 + 0.230187i
\(627\) −1791.05 + 1551.95i −2.85653 + 2.47520i
\(628\) −22.7954 158.546i −0.0362985 0.252461i
\(629\) −252.284 74.0773i −0.401088 0.117770i
\(630\) 651.452 98.9344i 1.03405 0.157039i
\(631\) −475.798 68.4094i −0.754038 0.108414i −0.245432 0.969414i \(-0.578930\pi\)
−0.508606 + 0.860999i \(0.669839\pi\)
\(632\) −98.6182 + 215.944i −0.156041 + 0.341683i
\(633\) 1101.77 + 503.162i 1.74056 + 0.794885i
\(634\) −44.8239 + 311.757i −0.0707002 + 0.491731i
\(635\) −396.434 + 60.2055i −0.624306 + 0.0948117i
\(636\) −61.8198 + 210.539i −0.0972009 + 0.331036i
\(637\) −209.867 + 30.1744i −0.329462 + 0.0473695i
\(638\) 616.905 + 711.946i 0.966936 + 1.11590i
\(639\) −745.522 479.118i −1.16670 0.749793i
\(640\) 51.2689 23.9060i 0.0801077 0.0373532i
\(641\) −174.150 593.099i −0.271684 0.925272i −0.976434 0.215816i \(-0.930759\pi\)
0.704750 0.709456i \(-0.251059\pi\)
\(642\) 8.98217 + 19.6682i 0.0139909 + 0.0306359i
\(643\) 1157.80 1.80062 0.900312 0.435245i \(-0.143338\pi\)
0.900312 + 0.435245i \(0.143338\pi\)
\(644\) −101.272 + 143.421i −0.157255 + 0.222703i
\(645\) 97.2949 + 43.5056i 0.150845 + 0.0674506i
\(646\) 179.823 + 393.757i 0.278364 + 0.609531i
\(647\) −240.219 818.111i −0.371282 1.26447i −0.907379 0.420313i \(-0.861920\pi\)
0.536098 0.844156i \(-0.319898\pi\)
\(648\) 631.322 + 547.044i 0.974262 + 0.844203i
\(649\) −495.939 + 771.696i −0.764158 + 1.18905i
\(650\) 27.5679 215.958i 0.0424122 0.332243i
\(651\) 853.883 122.770i 1.31165 0.188586i
\(652\) −74.6873 + 254.362i −0.114551 + 0.390125i
\(653\) −140.786 219.068i −0.215599 0.335479i 0.716561 0.697524i \(-0.245715\pi\)
−0.932161 + 0.362045i \(0.882079\pi\)
\(654\) −914.331 131.461i −1.39806 0.201011i
\(655\) −45.1116 51.2363i −0.0688726 0.0782234i
\(656\) 58.6761 128.483i 0.0894453 0.195858i
\(657\) −718.720 103.336i −1.09394 0.157285i
\(658\) −91.7738 + 58.9794i −0.139474 + 0.0896344i
\(659\) −155.142 + 528.364i −0.235420 + 0.801766i 0.754024 + 0.656847i \(0.228110\pi\)
−0.989444 + 0.144919i \(0.953708\pi\)
\(660\) 926.964 + 264.229i 1.40449 + 0.400347i
\(661\) −548.781 + 475.521i −0.830228 + 0.719397i −0.962343 0.271837i \(-0.912369\pi\)
0.132115 + 0.991234i \(0.457823\pi\)
\(662\) 374.892 583.343i 0.566302 0.881183i
\(663\) −290.193 + 334.901i −0.437697 + 0.505129i
\(664\) 11.5608 + 39.3726i 0.0174109 + 0.0592961i
\(665\) 3.71432 + 469.199i 0.00558544 + 0.705562i
\(666\) 729.237i 1.09495i
\(667\) 719.967 570.838i 1.07941 0.855829i
\(668\) 213.883i 0.320184i
\(669\) −904.846 1981.34i −1.35253 2.96164i
\(670\) 519.532 + 70.5044i 0.775421 + 0.105230i
\(671\) 1061.25 1224.75i 1.58160 1.82526i
\(672\) −104.995 67.4762i −0.156243 0.100411i
\(673\) −182.765 + 158.367i −0.271568 + 0.235315i −0.779988 0.625794i \(-0.784775\pi\)
0.508421 + 0.861109i \(0.330230\pi\)
\(674\) 387.230 55.6752i 0.574525 0.0826042i
\(675\) −2011.42 + 957.354i −2.97988 + 1.41830i
\(676\) −220.546 + 141.736i −0.326251 + 0.209669i
\(677\) −44.7074 + 310.947i −0.0660375 + 0.459301i 0.929793 + 0.368082i \(0.119985\pi\)
−0.995831 + 0.0912188i \(0.970924\pi\)
\(678\) 209.366 458.448i 0.308800 0.676177i
\(679\) −268.903 + 588.815i −0.396028 + 0.867180i
\(680\) 94.0097 148.860i 0.138250 0.218911i
\(681\) 462.318 + 719.382i 0.678882 + 1.05636i
\(682\) 884.686 + 259.767i 1.29719 + 0.380890i
\(683\) −1179.29 + 169.556i −1.72663 + 0.248252i −0.932931 0.360054i \(-0.882758\pi\)
−0.793702 + 0.608306i \(0.791849\pi\)
\(684\) −907.321 + 786.198i −1.32649 + 1.14941i
\(685\) −87.8052 + 57.4162i −0.128183 + 0.0838192i
\(686\) −340.349 294.914i −0.496135 0.429904i
\(687\) −1080.05 + 317.131i −1.57213 + 0.461618i
\(688\) −6.12737 13.4171i −0.00890607 0.0195016i
\(689\) 116.873i 0.169628i
\(690\) 296.893 892.005i 0.430280 1.29276i
\(691\) 430.862 0.623534 0.311767 0.950159i \(-0.399079\pi\)
0.311767 + 0.950159i \(0.399079\pi\)
\(692\) −406.489 + 185.637i −0.587412 + 0.268262i
\(693\) −437.768 1490.90i −0.631699 2.15137i
\(694\) −397.873 + 459.170i −0.573304 + 0.661628i
\(695\) 956.592 625.519i 1.37639 0.900028i
\(696\) 427.720 + 493.615i 0.614540 + 0.709217i
\(697\) −62.5625 435.132i −0.0897598 0.624293i
\(698\) 10.1734 34.6475i 0.0145751 0.0496383i
\(699\) −724.347 + 465.510i −1.03626 + 0.665965i
\(700\) 158.891 105.704i 0.226987 0.151006i
\(701\) 123.883 + 56.5753i 0.176723 + 0.0807066i 0.501812 0.864977i \(-0.332667\pi\)
−0.325089 + 0.945683i \(0.605394\pi\)
\(702\) −705.842 322.347i −1.00547 0.459184i
\(703\) 513.999 + 73.9019i 0.731151 + 0.105124i
\(704\) −72.1201 112.221i −0.102443 0.159405i
\(705\) 379.024 444.478i 0.537623 0.630465i
\(706\) 45.9284 + 319.439i 0.0650543 + 0.452463i
\(707\) −195.376 225.476i −0.276345 0.318919i
\(708\) −343.850 + 535.041i −0.485664 + 0.755708i
\(709\) −515.318 446.525i −0.726823 0.629796i 0.210768 0.977536i \(-0.432404\pi\)
−0.937591 + 0.347740i \(0.886949\pi\)
\(710\) −254.334 34.5151i −0.358217 0.0486128i
\(711\) −1864.00 + 851.261i −2.62166 + 1.19727i
\(712\) −320.443 −0.450060
\(713\) 290.748 850.998i 0.407781 1.19355i
\(714\) −388.443 −0.544037
\(715\) −513.379 + 4.06406i −0.718013 + 0.00568400i
\(716\) −87.4754 + 25.6851i −0.122172 + 0.0358730i
\(717\) 527.004 + 456.652i 0.735012 + 0.636892i
\(718\) 81.4267 + 52.3298i 0.113408 + 0.0728827i
\(719\) 389.246 + 449.214i 0.541372 + 0.624777i 0.958851 0.283910i \(-0.0916317\pi\)
−0.417479 + 0.908687i \(0.637086\pi\)
\(720\) 469.588 + 133.855i 0.652206 + 0.185910i
\(721\) 250.873 + 73.6629i 0.347951 + 0.102168i
\(722\) −186.185 289.709i −0.257874 0.401259i
\(723\) 162.568 1130.69i 0.224852 1.56388i
\(724\) −331.238 151.271i −0.457511 0.208938i
\(725\) −953.675 + 296.503i −1.31541 + 0.408969i
\(726\) 182.708 1270.76i 0.251664 1.75036i
\(727\) −152.575 + 98.0539i −0.209869 + 0.134875i −0.641353 0.767246i \(-0.721627\pi\)
0.431484 + 0.902121i \(0.357990\pi\)
\(728\) 63.7836 + 18.7286i 0.0876149 + 0.0257260i
\(729\) 366.466 + 2548.83i 0.502697 + 3.49634i
\(730\) −201.305 + 60.8435i −0.275760 + 0.0833472i
\(731\) −38.6193 24.8191i −0.0528308 0.0339523i
\(732\) 735.799 849.157i 1.00519 1.16005i
\(733\) 849.216 249.352i 1.15855 0.340181i 0.354680 0.934988i \(-0.384590\pi\)
0.803868 + 0.594807i \(0.202772\pi\)
\(734\) 852.941 389.525i 1.16205 0.530688i
\(735\) 908.493 + 406.234i 1.23605 + 0.552700i
\(736\) −112.417 + 65.5015i −0.152740 + 0.0889966i
\(737\) 1236.37i 1.67757i
\(738\) 1109.05 506.485i 1.50278 0.686295i
\(739\) −253.550 + 74.4490i −0.343099 + 0.100743i −0.448742 0.893661i \(-0.648128\pi\)
0.105644 + 0.994404i \(0.466310\pi\)
\(740\) −89.2555 191.418i −0.120616 0.258673i
\(741\) 473.156 736.245i 0.638537 0.993582i
\(742\) 77.4253 67.0894i 0.104347 0.0904170i
\(743\) −68.6066 477.169i −0.0923373 0.642220i −0.982456 0.186492i \(-0.940288\pi\)
0.890119 0.455728i \(-0.150621\pi\)
\(744\) 613.380 + 180.105i 0.824436 + 0.242076i
\(745\) −191.902 + 29.1436i −0.257586 + 0.0391189i
\(746\) 200.337 + 28.8041i 0.268548 + 0.0386114i
\(747\) −147.143 + 322.199i −0.196979 + 0.431324i
\(748\) −377.658 172.471i −0.504890 0.230576i
\(749\) 1.43669 9.99242i 0.00191815 0.0133410i
\(750\) −650.652 + 787.947i −0.867536 + 1.05060i
\(751\) −163.258 + 556.005i −0.217387 + 0.740352i 0.776516 + 0.630097i \(0.216985\pi\)
−0.993903 + 0.110255i \(0.964833\pi\)
\(752\) −80.0194 + 11.5051i −0.106409 + 0.0152993i
\(753\) −541.676 625.127i −0.719357 0.830182i
\(754\) −292.660 188.081i −0.388143 0.249444i
\(755\) −6.56938 14.0887i −0.00870116 0.0186605i
\(756\) −191.632 652.638i −0.253481 0.863278i
\(757\) 135.016 + 295.645i 0.178357 + 0.390548i 0.977603 0.210456i \(-0.0674949\pi\)
−0.799246 + 0.601004i \(0.794768\pi\)
\(758\) −650.076 −0.857620
\(759\) −2178.53 410.896i −2.87026 0.541365i
\(760\) −141.936 + 317.422i −0.186758 + 0.417660i
\(761\) 204.228 + 447.198i 0.268368 + 0.587645i 0.995055 0.0993240i \(-0.0316680\pi\)
−0.726687 + 0.686969i \(0.758941\pi\)
\(762\) 184.703 + 629.039i 0.242392 + 0.825511i
\(763\) 325.941 + 282.430i 0.427184 + 0.370157i
\(764\) −262.632 + 408.663i −0.343759 + 0.534899i
\(765\) 1454.73 439.687i 1.90161 0.574754i
\(766\) −236.125 + 33.9496i −0.308257 + 0.0443207i
\(767\) 95.4383 325.033i 0.124431 0.423772i
\(768\) −50.0032 77.8064i −0.0651083 0.101310i
\(769\) 1211.35 + 174.166i 1.57523 + 0.226484i 0.873811 0.486266i \(-0.161641\pi\)
0.701418 + 0.712750i \(0.252550\pi\)
\(770\) −297.390 337.766i −0.386220 0.438657i
\(771\) 1101.87 2412.75i 1.42914 3.12938i
\(772\) −531.673 76.4430i −0.688695 0.0990194i
\(773\) −172.996 + 111.178i −0.223798 + 0.143827i −0.647736 0.761865i \(-0.724284\pi\)
0.423938 + 0.905691i \(0.360648\pi\)