Properties

Label 108.3.j.a.7.1
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.95448 + 0.424266i) q^{2} +(0.0189322 + 2.99994i) q^{3} +(3.64000 - 1.65844i) q^{4} +(-1.07944 - 6.12179i) q^{5} +(-1.30977 - 5.85530i) q^{6} +(6.40210 - 7.62973i) q^{7} +(-6.41069 + 4.78571i) q^{8} +(-8.99928 + 0.113591i) q^{9} +O(q^{10})\) \(q+(-1.95448 + 0.424266i) q^{2} +(0.0189322 + 2.99994i) q^{3} +(3.64000 - 1.65844i) q^{4} +(-1.07944 - 6.12179i) q^{5} +(-1.30977 - 5.85530i) q^{6} +(6.40210 - 7.62973i) q^{7} +(-6.41069 + 4.78571i) q^{8} +(-8.99928 + 0.113591i) q^{9} +(4.70701 + 11.5070i) q^{10} +(12.4562 + 2.19637i) q^{11} +(5.04413 + 10.8884i) q^{12} +(12.1504 + 4.42239i) q^{13} +(-9.27576 + 17.6284i) q^{14} +(18.3446 - 3.35415i) q^{15} +(10.4992 - 12.0734i) q^{16} +(-9.19757 - 15.9307i) q^{17} +(17.5407 - 4.04010i) q^{18} +(4.75708 + 2.74650i) q^{19} +(-14.0818 - 20.4931i) q^{20} +(23.0099 + 19.0615i) q^{21} +(-25.2773 + 0.991987i) q^{22} +(6.65021 + 7.92541i) q^{23} +(-14.4782 - 19.1411i) q^{24} +(-12.8188 + 4.66567i) q^{25} +(-25.6240 - 3.48848i) q^{26} +(-0.511142 - 26.9952i) q^{27} +(10.6502 - 38.3897i) q^{28} +(9.36615 - 3.40900i) q^{29} +(-34.4311 + 14.3386i) q^{30} +(20.5079 + 24.4404i) q^{31} +(-15.3981 + 28.0517i) q^{32} +(-6.35316 + 37.4096i) q^{33} +(24.7353 + 27.2340i) q^{34} +(-53.6183 - 30.9565i) q^{35} +(-32.5690 + 15.3382i) q^{36} +(-28.6614 - 49.6430i) q^{37} +(-10.4629 - 3.34972i) q^{38} +(-13.0369 + 36.5343i) q^{39} +(36.2171 + 34.0790i) q^{40} +(-8.81153 - 3.20713i) q^{41} +(-53.0596 - 27.4930i) q^{42} +(-65.6751 - 11.5803i) q^{43} +(48.9832 - 12.6631i) q^{44} +(10.4095 + 54.9691i) q^{45} +(-16.3602 - 12.6686i) q^{46} +(-19.6132 + 23.3740i) q^{47} +(36.4183 + 31.2683i) q^{48} +(-8.71709 - 49.4371i) q^{49} +(23.0747 - 14.5576i) q^{50} +(47.6169 - 27.8938i) q^{51} +(51.5618 - 4.05324i) q^{52} +59.3574 q^{53} +(12.4521 + 52.5447i) q^{54} -78.6253i q^{55} +(-4.52819 + 79.5505i) q^{56} +(-8.14928 + 14.3230i) q^{57} +(-16.8597 + 10.6366i) q^{58} +(102.326 - 18.0429i) q^{59} +(61.2116 - 42.6324i) q^{60} +(-24.2267 - 20.3286i) q^{61} +(-50.4515 - 39.0674i) q^{62} +(-56.7477 + 69.3893i) q^{63} +(18.1939 - 61.3595i) q^{64} +(13.9573 - 79.1560i) q^{65} +(-3.45446 - 75.8117i) q^{66} +(-33.8532 + 93.0109i) q^{67} +(-59.8992 - 42.7340i) q^{68} +(-23.6499 + 20.1003i) q^{69} +(117.930 + 37.7556i) q^{70} +(-72.6010 + 41.9162i) q^{71} +(57.1480 - 43.7962i) q^{72} +(-45.9238 + 79.5424i) q^{73} +(77.0800 + 84.8663i) q^{74} +(-14.2394 - 38.3674i) q^{75} +(21.8707 + 2.10793i) q^{76} +(96.5038 - 80.9763i) q^{77} +(9.98010 - 76.9366i) q^{78} +(25.9142 + 71.1988i) q^{79} +(-85.2442 - 51.2412i) q^{80} +(80.9742 - 2.04447i) q^{81} +(18.5827 + 2.52986i) q^{82} +(-9.07369 - 24.9298i) q^{83} +(115.368 + 31.2232i) q^{84} +(-87.5960 + 73.5018i) q^{85} +(133.274 - 5.23022i) q^{86} +(10.4041 + 28.0334i) q^{87} +(-90.3643 + 45.5317i) q^{88} +(-53.2910 + 92.3027i) q^{89} +(-43.6668 - 103.020i) q^{90} +(111.530 - 64.3918i) q^{91} +(37.3506 + 17.8195i) q^{92} +(-72.9314 + 61.9852i) q^{93} +(28.4167 - 54.0053i) q^{94} +(11.6785 - 32.0865i) q^{95} +(-84.4450 - 45.6622i) q^{96} +(0.0639800 - 0.362849i) q^{97} +(38.0118 + 92.9255i) q^{98} +(-112.347 - 18.3508i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.95448 + 0.424266i −0.977241 + 0.212133i
\(3\) 0.0189322 + 2.99994i 0.00631073 + 0.999980i
\(4\) 3.64000 1.65844i 0.909999 0.414610i
\(5\) −1.07944 6.12179i −0.215887 1.22436i −0.879360 0.476158i \(-0.842029\pi\)
0.663473 0.748201i \(-0.269082\pi\)
\(6\) −1.30977 5.85530i −0.218296 0.975883i
\(7\) 6.40210 7.62973i 0.914586 1.08996i −0.0810563 0.996710i \(-0.525829\pi\)
0.995643 0.0932519i \(-0.0297262\pi\)
\(8\) −6.41069 + 4.78571i −0.801336 + 0.598214i
\(9\) −8.99928 + 0.113591i −0.999920 + 0.0126212i
\(10\) 4.70701 + 11.5070i 0.470701 + 1.15070i
\(11\) 12.4562 + 2.19637i 1.13239 + 0.199670i 0.708272 0.705939i \(-0.249475\pi\)
0.424113 + 0.905609i \(0.360586\pi\)
\(12\) 5.04413 + 10.8884i 0.420344 + 0.907365i
\(13\) 12.1504 + 4.42239i 0.934648 + 0.340184i 0.764050 0.645157i \(-0.223208\pi\)
0.170598 + 0.985341i \(0.445430\pi\)
\(14\) −9.27576 + 17.6284i −0.662554 + 1.25917i
\(15\) 18.3446 3.35415i 1.22297 0.223610i
\(16\) 10.4992 12.0734i 0.656198 0.754589i
\(17\) −9.19757 15.9307i −0.541034 0.937098i −0.998845 0.0480485i \(-0.984700\pi\)
0.457811 0.889049i \(-0.348634\pi\)
\(18\) 17.5407 4.04010i 0.974486 0.224450i
\(19\) 4.75708 + 2.74650i 0.250373 + 0.144553i 0.619935 0.784653i \(-0.287159\pi\)
−0.369562 + 0.929206i \(0.620492\pi\)
\(20\) −14.0818 20.4931i −0.704088 1.02466i
\(21\) 23.0099 + 19.0615i 1.09571 + 0.907690i
\(22\) −25.2773 + 0.991987i −1.14897 + 0.0450903i
\(23\) 6.65021 + 7.92541i 0.289140 + 0.344583i 0.890988 0.454027i \(-0.150013\pi\)
−0.601848 + 0.798611i \(0.705569\pi\)
\(24\) −14.4782 19.1411i −0.603259 0.797545i
\(25\) −12.8188 + 4.66567i −0.512753 + 0.186627i
\(26\) −25.6240 3.48848i −0.985540 0.134172i
\(27\) −0.511142 26.9952i −0.0189312 0.999821i
\(28\) 10.6502 38.3897i 0.380364 1.37106i
\(29\) 9.36615 3.40900i 0.322971 0.117552i −0.175447 0.984489i \(-0.556137\pi\)
0.498417 + 0.866937i \(0.333915\pi\)
\(30\) −34.4311 + 14.3386i −1.14770 + 0.477953i
\(31\) 20.5079 + 24.4404i 0.661545 + 0.788399i 0.987607 0.156950i \(-0.0501661\pi\)
−0.326061 + 0.945349i \(0.605722\pi\)
\(32\) −15.3981 + 28.0517i −0.481190 + 0.876616i
\(33\) −6.35316 + 37.4096i −0.192520 + 1.13362i
\(34\) 24.7353 + 27.2340i 0.727509 + 0.800999i
\(35\) −53.6183 30.9565i −1.53195 0.884472i
\(36\) −32.5690 + 15.3382i −0.904694 + 0.426062i
\(37\) −28.6614 49.6430i −0.774633 1.34170i −0.935001 0.354646i \(-0.884601\pi\)
0.160368 0.987057i \(-0.448732\pi\)
\(38\) −10.4629 3.34972i −0.275339 0.0881506i
\(39\) −13.0369 + 36.5343i −0.334279 + 0.936776i
\(40\) 36.2171 + 34.0790i 0.905427 + 0.851976i
\(41\) −8.81153 3.20713i −0.214915 0.0782228i 0.232319 0.972640i \(-0.425369\pi\)
−0.447234 + 0.894417i \(0.647591\pi\)
\(42\) −53.0596 27.4930i −1.26332 0.654595i
\(43\) −65.6751 11.5803i −1.52733 0.269309i −0.654020 0.756478i \(-0.726919\pi\)
−0.873308 + 0.487169i \(0.838030\pi\)
\(44\) 48.9832 12.6631i 1.11325 0.287798i
\(45\) 10.4095 + 54.9691i 0.231323 + 1.22154i
\(46\) −16.3602 12.6686i −0.355656 0.275405i
\(47\) −19.6132 + 23.3740i −0.417301 + 0.497320i −0.933214 0.359321i \(-0.883008\pi\)
0.515913 + 0.856641i \(0.327453\pi\)
\(48\) 36.4183 + 31.2683i 0.758715 + 0.651423i
\(49\) −8.71709 49.4371i −0.177900 1.00892i
\(50\) 23.0747 14.5576i 0.461494 0.291151i
\(51\) 47.6169 27.8938i 0.933665 0.546937i
\(52\) 51.5618 4.05324i 0.991572 0.0779468i
\(53\) 59.3574 1.11995 0.559975 0.828509i \(-0.310811\pi\)
0.559975 + 0.828509i \(0.310811\pi\)
\(54\) 12.4521 + 52.5447i 0.230595 + 0.973050i
\(55\) 78.6253i 1.42955i
\(56\) −4.52819 + 79.5505i −0.0808606 + 1.42054i
\(57\) −8.14928 + 14.3230i −0.142970 + 0.251280i
\(58\) −16.8597 + 10.6366i −0.290684 + 0.183389i
\(59\) 102.326 18.0429i 1.73434 0.305812i 0.784870 0.619660i \(-0.212730\pi\)
0.949473 + 0.313849i \(0.101618\pi\)
\(60\) 61.2116 42.6324i 1.02019 0.710541i
\(61\) −24.2267 20.3286i −0.397159 0.333256i 0.422235 0.906486i \(-0.361246\pi\)
−0.819394 + 0.573230i \(0.805690\pi\)
\(62\) −50.4515 39.0674i −0.813734 0.630120i
\(63\) −56.7477 + 69.3893i −0.900757 + 1.10142i
\(64\) 18.1939 61.3595i 0.284279 0.958741i
\(65\) 13.9573 79.1560i 0.214728 1.21779i
\(66\) −3.45446 75.8117i −0.0523403 1.14866i
\(67\) −33.8532 + 93.0109i −0.505272 + 1.38822i 0.380792 + 0.924661i \(0.375651\pi\)
−0.886064 + 0.463562i \(0.846571\pi\)
\(68\) −59.8992 42.7340i −0.880870 0.628441i
\(69\) −23.6499 + 20.1003i −0.342752 + 0.291308i
\(70\) 117.930 + 37.7556i 1.68471 + 0.539365i
\(71\) −72.6010 + 41.9162i −1.02255 + 0.590369i −0.914841 0.403813i \(-0.867684\pi\)
−0.107708 + 0.994183i \(0.534351\pi\)
\(72\) 57.1480 43.7962i 0.793722 0.608280i
\(73\) −45.9238 + 79.5424i −0.629094 + 1.08962i 0.358640 + 0.933476i \(0.383240\pi\)
−0.987734 + 0.156146i \(0.950093\pi\)
\(74\) 77.0800 + 84.8663i 1.04162 + 1.14684i
\(75\) −14.2394 38.3674i −0.189859 0.511565i
\(76\) 21.8707 + 2.10793i 0.287772 + 0.0277360i
\(77\) 96.5038 80.9763i 1.25330 1.05164i
\(78\) 9.98010 76.9366i 0.127950 0.986367i
\(79\) 25.9142 + 71.1988i 0.328028 + 0.901251i 0.988611 + 0.150497i \(0.0480873\pi\)
−0.660582 + 0.750754i \(0.729690\pi\)
\(80\) −85.2442 51.2412i −1.06555 0.640515i
\(81\) 80.9742 2.04447i 0.999681 0.0252404i
\(82\) 18.5827 + 2.52986i 0.226618 + 0.0308519i
\(83\) −9.07369 24.9298i −0.109322 0.300359i 0.872954 0.487803i \(-0.162202\pi\)
−0.982275 + 0.187445i \(0.939979\pi\)
\(84\) 115.368 + 31.2232i 1.37343 + 0.371704i
\(85\) −87.5960 + 73.5018i −1.03054 + 0.864727i
\(86\) 133.274 5.23022i 1.54970 0.0608165i
\(87\) 10.4041 + 28.0334i 0.119588 + 0.322223i
\(88\) −90.3643 + 45.5317i −1.02687 + 0.517406i
\(89\) −53.2910 + 92.3027i −0.598775 + 1.03711i 0.394227 + 0.919013i \(0.371012\pi\)
−0.993002 + 0.118096i \(0.962321\pi\)
\(90\) −43.6668 103.020i −0.485186 1.14466i
\(91\) 111.530 64.3918i 1.22560 0.707602i
\(92\) 37.3506 + 17.8195i 0.405984 + 0.193690i
\(93\) −72.9314 + 61.9852i −0.784208 + 0.666507i
\(94\) 28.4167 54.0053i 0.302306 0.574525i
\(95\) 11.6785 32.0865i 0.122932 0.337753i
\(96\) −84.4450 45.6622i −0.879636 0.475648i
\(97\) 0.0639800 0.362849i 0.000659588 0.00374071i −0.984476 0.175518i \(-0.943840\pi\)
0.985136 + 0.171778i \(0.0549510\pi\)
\(98\) 38.0118 + 92.9255i 0.387876 + 0.948219i
\(99\) −112.347 18.3508i −1.13482 0.185362i
\(100\) −38.9228 + 38.2423i −0.389228 + 0.382423i
\(101\) 97.1655 + 81.5315i 0.962035 + 0.807243i 0.981283 0.192572i \(-0.0616828\pi\)
−0.0192482 + 0.999815i \(0.506127\pi\)
\(102\) −81.2320 + 74.7201i −0.796392 + 0.732550i
\(103\) −151.910 + 26.7859i −1.47486 + 0.260057i −0.852522 0.522692i \(-0.824928\pi\)
−0.622337 + 0.782749i \(0.713817\pi\)
\(104\) −99.0569 + 29.7979i −0.952470 + 0.286518i
\(105\) 91.8526 161.438i 0.874787 1.53750i
\(106\) −116.013 + 25.1833i −1.09446 + 0.237578i
\(107\) 25.0412i 0.234030i −0.993130 0.117015i \(-0.962668\pi\)
0.993130 0.117015i \(-0.0373325\pi\)
\(108\) −46.6304 97.4146i −0.431763 0.901987i
\(109\) −1.63154 −0.0149683 −0.00748413 0.999972i \(-0.502382\pi\)
−0.00748413 + 0.999972i \(0.502382\pi\)
\(110\) 33.3580 + 153.672i 0.303255 + 1.39702i
\(111\) 148.383 86.9224i 1.33679 0.783084i
\(112\) −24.9003 157.401i −0.222324 1.40537i
\(113\) 5.85826 + 33.2239i 0.0518430 + 0.294017i 0.999695 0.0246943i \(-0.00786124\pi\)
−0.947852 + 0.318711i \(0.896750\pi\)
\(114\) 9.85088 31.4514i 0.0864112 0.275890i
\(115\) 41.3392 49.2662i 0.359472 0.428402i
\(116\) 28.4392 27.9419i 0.245165 0.240879i
\(117\) −109.847 38.4182i −0.938867 0.328360i
\(118\) −192.340 + 78.6780i −1.63000 + 0.666763i
\(119\) −180.430 31.8148i −1.51622 0.267351i
\(120\) −101.549 + 109.294i −0.846245 + 0.910786i
\(121\) 36.6310 + 13.3326i 0.302736 + 0.110187i
\(122\) 55.9754 + 29.4533i 0.458814 + 0.241421i
\(123\) 9.45439 26.4948i 0.0768650 0.215405i
\(124\) 115.182 + 54.9518i 0.928883 + 0.443159i
\(125\) −35.3035 61.1474i −0.282428 0.489179i
\(126\) 81.4728 159.696i 0.646609 1.26743i
\(127\) 45.8752 + 26.4860i 0.361222 + 0.208551i 0.669617 0.742707i \(-0.266458\pi\)
−0.308395 + 0.951258i \(0.599792\pi\)
\(128\) −9.52691 + 127.645i −0.0744289 + 0.997226i
\(129\) 33.4968 197.241i 0.259665 1.52900i
\(130\) 6.30381 + 160.631i 0.0484908 + 1.23562i
\(131\) 94.5874 + 112.725i 0.722041 + 0.860495i 0.994827 0.101580i \(-0.0323897\pi\)
−0.272786 + 0.962075i \(0.587945\pi\)
\(132\) 38.9160 + 146.707i 0.294818 + 1.11142i
\(133\) 51.4104 18.7119i 0.386544 0.140691i
\(134\) 26.7041 196.151i 0.199285 1.46381i
\(135\) −164.707 + 32.2687i −1.22005 + 0.239027i
\(136\) 135.202 + 58.1096i 0.994135 + 0.427276i
\(137\) −166.118 + 60.4619i −1.21254 + 0.441328i −0.867583 0.497292i \(-0.834328\pi\)
−0.344954 + 0.938620i \(0.612106\pi\)
\(138\) 37.6954 49.3194i 0.273155 0.357387i
\(139\) 48.8886 + 58.2632i 0.351717 + 0.419160i 0.912676 0.408684i \(-0.134012\pi\)
−0.560959 + 0.827843i \(0.689568\pi\)
\(140\) −246.510 23.7590i −1.76079 0.169707i
\(141\) −70.4921 58.3958i −0.499944 0.414154i
\(142\) 124.114 112.727i 0.874040 0.793849i
\(143\) 141.635 + 81.7732i 0.990457 + 0.571840i
\(144\) −93.1135 + 109.845i −0.646622 + 0.762811i
\(145\) −30.9794 53.6578i −0.213651 0.370054i
\(146\) 56.0102 174.948i 0.383631 1.19827i
\(147\) 148.143 27.0867i 1.00778 0.184263i
\(148\) −186.657 133.167i −1.26120 0.899779i
\(149\) −28.2118 10.2682i −0.189341 0.0689144i 0.245610 0.969369i \(-0.421012\pi\)
−0.434950 + 0.900454i \(0.643234\pi\)
\(150\) 44.1087 + 68.9471i 0.294058 + 0.459647i
\(151\) 82.1866 + 14.4917i 0.544282 + 0.0959716i 0.439027 0.898474i \(-0.355323\pi\)
0.105255 + 0.994445i \(0.466434\pi\)
\(152\) −43.6401 + 5.15906i −0.287106 + 0.0339412i
\(153\) 84.5811 + 142.320i 0.552818 + 0.930195i
\(154\) −154.260 + 199.210i −1.00169 + 1.29357i
\(155\) 127.482 151.927i 0.822463 0.980174i
\(156\) 13.1356 + 154.605i 0.0842028 + 0.991061i
\(157\) 10.1447 + 57.5333i 0.0646158 + 0.366454i 0.999920 + 0.0126109i \(0.00401429\pi\)
−0.935305 + 0.353843i \(0.884875\pi\)
\(158\) −80.8561 128.162i −0.511748 0.811153i
\(159\) 1.12376 + 178.069i 0.00706770 + 1.11993i
\(160\) 188.348 + 63.9838i 1.17718 + 0.399899i
\(161\) 103.044 0.640025
\(162\) −157.395 + 38.3505i −0.971575 + 0.236731i
\(163\) 208.348i 1.27821i −0.769121 0.639104i \(-0.779306\pi\)
0.769121 0.639104i \(-0.220694\pi\)
\(164\) −37.3928 + 2.93942i −0.228005 + 0.0179233i
\(165\) 235.871 1.48855i 1.42952 0.00902151i
\(166\) 28.3112 + 44.8751i 0.170549 + 0.270332i
\(167\) 174.030 30.6862i 1.04210 0.183750i 0.373697 0.927551i \(-0.378090\pi\)
0.668401 + 0.743801i \(0.266979\pi\)
\(168\) −238.732 12.0782i −1.42103 0.0718943i
\(169\) −1.38636 1.16330i −0.00820334 0.00688342i
\(170\) 140.021 180.822i 0.823650 1.06366i
\(171\) −43.1223 24.1762i −0.252177 0.141381i
\(172\) −258.262 + 66.7659i −1.50153 + 0.388174i
\(173\) −5.36518 + 30.4274i −0.0310126 + 0.175881i −0.996380 0.0850139i \(-0.972907\pi\)
0.965367 + 0.260895i \(0.0840176\pi\)
\(174\) −32.2283 50.3766i −0.185220 0.289521i
\(175\) −46.4697 + 127.674i −0.265541 + 0.729568i
\(176\) 157.298 127.329i 0.893737 0.723463i
\(177\) 56.0648 + 306.631i 0.316750 + 1.73238i
\(178\) 64.9954 203.014i 0.365143 1.14053i
\(179\) −131.775 + 76.0806i −0.736176 + 0.425031i −0.820677 0.571392i \(-0.806404\pi\)
0.0845014 + 0.996423i \(0.473070\pi\)
\(180\) 129.054 + 182.824i 0.716965 + 1.01569i
\(181\) 34.3250 59.4527i 0.189641 0.328468i −0.755489 0.655161i \(-0.772601\pi\)
0.945131 + 0.326693i \(0.105934\pi\)
\(182\) −190.664 + 173.171i −1.04760 + 0.951489i
\(183\) 60.5259 73.0635i 0.330743 0.399254i
\(184\) −80.5612 18.9814i −0.437833 0.103160i
\(185\) −272.966 + 229.046i −1.47549 + 1.23808i
\(186\) 116.245 152.091i 0.624972 0.817695i
\(187\) −79.5775 218.637i −0.425548 1.16918i
\(188\) −32.6274 + 117.609i −0.173550 + 0.625578i
\(189\) −209.238 168.926i −1.10708 0.893788i
\(190\) −9.21229 + 67.6674i −0.0484857 + 0.356144i
\(191\) −48.2365 132.529i −0.252547 0.693868i −0.999577 0.0290775i \(-0.990743\pi\)
0.747030 0.664790i \(1.76852\pi\)
\(192\) 184.419 + 53.4189i 0.960516 + 0.278223i
\(193\) 161.554 135.560i 0.837068 0.702383i −0.119834 0.992794i \(-0.538236\pi\)
0.956902 + 0.290411i \(0.0937919\pi\)
\(194\) 0.0288965 + 0.736326i 0.000148951 + 0.00379549i
\(195\) 237.728 + 40.3726i 1.21912 + 0.207039i
\(196\) −113.719 165.494i −0.580197 0.844357i
\(197\) 29.2008 50.5773i 0.148227 0.256738i −0.782345 0.622845i \(-0.785977\pi\)
0.930572 + 0.366108i \(0.119310\pi\)
\(198\) 227.365 11.7984i 1.14831 0.0595881i
\(199\) −43.4780 + 25.1020i −0.218482 + 0.126141i −0.605247 0.796037i \(-0.706926\pi\)
0.386765 + 0.922178i \(0.373592\pi\)
\(200\) 59.8490 91.2575i 0.299245 0.456287i
\(201\) −279.668 99.7967i −1.39138 0.496501i
\(202\) −224.499 118.128i −1.11138 0.584792i
\(203\) 33.9533 93.2860i 0.167258 0.459537i
\(204\) 127.065 180.503i 0.622869 0.884819i
\(205\) −10.1219 + 57.4042i −0.0493752 + 0.280021i
\(206\) 285.542 116.803i 1.38613 0.567005i
\(207\) −60.7474 70.5676i −0.293466 0.340906i
\(208\) 180.963 100.266i 0.870013 0.482047i
\(209\) 53.2230 + 44.6594i 0.254655 + 0.213681i
\(210\) −111.032 + 354.497i −0.528723 + 1.68808i
\(211\) 199.644 35.2027i 0.946182 0.166837i 0.320792 0.947150i \(-0.396051\pi\)
0.625390 + 0.780312i \(0.284940\pi\)
\(212\) 216.061 98.4406i 1.01915 0.464342i
\(213\) −127.121 217.005i −0.596810 1.01880i
\(214\) 10.6241 + 48.9425i 0.0496454 + 0.228703i
\(215\) 414.549i 1.92814i
\(216\) 132.468 + 170.611i 0.613277 + 0.789868i
\(217\) 317.767 1.46436
\(218\) 3.18882 0.692207i 0.0146276 0.00317526i
\(219\) −239.492 136.263i −1.09357 0.622205i
\(220\) −130.395 286.196i −0.592706 1.30089i
\(221\) −41.3027 234.240i −0.186890 1.05991i
\(222\) −253.135 + 232.842i −1.14025 + 1.04884i
\(223\) −149.754 + 178.470i −0.671542 + 0.800312i −0.988993 0.147962i \(-0.952729\pi\)
0.317451 + 0.948275i \(0.397173\pi\)
\(224\) 115.447 + 297.073i 0.515388 + 1.32622i
\(225\) 114.830 43.4438i 0.510357 0.193084i
\(226\) −25.5456 62.4500i −0.113034 0.276327i
\(227\) −223.326 39.3784i −0.983815 0.173473i −0.341473 0.939891i \(-0.610926\pi\)
−0.642342 + 0.766418i \(0.722037\pi\)
\(228\) −5.90961 + 65.6506i −0.0259194 + 0.287941i
\(229\) 415.429 + 151.204i 1.81410 + 0.660278i 0.996414 + 0.0846107i \(0.0269647\pi\)
0.817684 + 0.575667i \(0.195258\pi\)
\(230\) −59.8948 + 113.829i −0.260412 + 0.494907i
\(231\) 244.751 + 287.973i 1.05953 + 1.24664i
\(232\) −43.7290 + 66.6778i −0.188487 + 0.287404i
\(233\) 18.2450 + 31.6013i 0.0783048 + 0.135628i 0.902519 0.430651i \(-0.141716\pi\)
−0.824214 + 0.566279i \(0.808383\pi\)
\(234\) 230.994 + 28.4831i 0.987155 + 0.121723i
\(235\) 164.262 + 94.8368i 0.698988 + 0.403561i
\(236\) 342.544 235.378i 1.45146 0.997364i
\(237\) −213.102 + 79.0891i −0.899163 + 0.333709i
\(238\) 366.146 14.3691i 1.53843 0.0603743i
\(239\) 22.1853 + 26.4394i 0.0928255 + 0.110625i 0.810458 0.585797i \(-0.199219\pi\)
−0.717632 + 0.696422i \(0.754774\pi\)
\(240\) 152.107 256.698i 0.633778 1.06957i
\(241\) −56.7436 + 20.6530i −0.235451 + 0.0856971i −0.457051 0.889441i \(-0.651094\pi\)
0.221600 + 0.975138i \(0.428872\pi\)
\(242\) −77.2512 10.5170i −0.319220 0.0434588i
\(243\) 7.66631 + 242.879i 0.0315486 + 0.999502i
\(244\) −121.899 33.8176i −0.499585 0.138597i
\(245\) −293.234 + 106.728i −1.19687 + 0.435626i
\(246\) −7.23761 + 55.7947i −0.0294212 + 0.226808i
\(247\) 45.6544 + 54.4088i 0.184836 + 0.220279i
\(248\) −248.434 58.5346i −1.00175 0.236027i
\(249\) 74.6160 27.6925i 0.299663 0.111215i
\(250\) 94.9427 + 104.533i 0.379771 + 0.418134i
\(251\) −225.076 129.948i −0.896718 0.517721i −0.0205844 0.999788i \(-0.506553\pi\)
−0.876134 + 0.482067i \(0.839886\pi\)
\(252\) −91.4834 + 346.689i −0.363030 + 1.37575i
\(253\) 65.4295 + 113.327i 0.258614 + 0.447933i
\(254\) −100.899 32.3032i −0.397241 0.127178i
\(255\) −222.159 261.391i −0.871213 1.02506i
\(256\) −35.5352 253.522i −0.138809 0.990319i
\(257\) −10.9630 3.99020i −0.0426575 0.0155261i 0.320603 0.947214i \(-0.396114\pi\)
−0.363261 + 0.931688i \(0.618337\pi\)
\(258\) 18.2135 + 399.715i 0.0705950 + 1.54928i
\(259\) −562.256 99.1409i −2.17087 0.382783i
\(260\) −80.4707 311.275i −0.309503 1.19721i
\(261\) −83.9014 + 31.7425i −0.321461 + 0.121619i
\(262\) −232.695 180.188i −0.888147 0.687742i
\(263\) 4.63305 5.52146i 0.0176162 0.0209941i −0.757164 0.653224i \(-0.773416\pi\)
0.774781 + 0.632230i \(0.217860\pi\)
\(264\) −138.303 270.225i −0.523876 1.02358i
\(265\) −64.0725 363.373i −0.241783 1.37122i
\(266\) −92.5419 + 58.3836i −0.347902 + 0.219487i
\(267\) −277.912 158.122i −1.04087 0.592219i
\(268\) 31.0273 + 394.703i 0.115774 + 1.47277i
\(269\) −366.099 −1.36096 −0.680481 0.732765i \(-0.738229\pi\)
−0.680481 + 0.732765i \(0.738229\pi\)
\(270\) 308.226 132.948i 1.14158 0.492400i
\(271\) 328.444i 1.21197i 0.795476 + 0.605985i \(0.207221\pi\)
−0.795476 + 0.605985i \(0.792779\pi\)
\(272\) −288.905 56.2124i −1.06215 0.206663i
\(273\) 195.283 + 333.364i 0.715323 + 1.22111i
\(274\) 299.022 188.650i 1.09132 0.688502i
\(275\) −169.922 + 29.9618i −0.617898 + 0.108952i
\(276\) −52.7503 + 112.387i −0.191124 + 0.407199i
\(277\) 369.729 + 310.240i 1.33476 + 1.12000i 0.982939 + 0.183933i \(0.0588829\pi\)
0.351824 + 0.936066i \(0.385562\pi\)
\(278\) −120.271 93.1326i −0.432630 0.335009i
\(279\) −187.333 217.616i −0.671443 0.779987i
\(280\) 491.879 58.1491i 1.75671 0.207675i
\(281\) 52.8247 299.584i 0.187988 1.06613i −0.734068 0.679077i \(-0.762380\pi\)
0.922056 0.387057i \(-0.126508\pi\)
\(282\) 162.551 + 84.2261i 0.576421 + 0.298674i
\(283\) 61.7047 169.532i 0.218038 0.599054i −0.781658 0.623707i \(-0.785626\pi\)
0.999696 + 0.0246531i \(0.00784811\pi\)
\(284\) −194.752 + 272.979i −0.685746 + 0.961194i
\(285\) 96.4788 + 34.4275i 0.338522 + 0.120798i
\(286\) −311.517 99.7332i −1.08922 0.348717i
\(287\) −80.8819 + 46.6972i −0.281818 + 0.162708i
\(288\) 135.385 254.194i 0.470088 0.882620i
\(289\) −24.6907 + 42.7656i −0.0854350 + 0.147978i
\(290\) 83.3138 + 91.7298i 0.287289 + 0.316310i
\(291\) 1.08974 + 0.185067i 0.00374480 + 0.000635968i
\(292\) −35.2464 + 365.696i −0.120707 + 1.25238i
\(293\) 68.9601 57.8644i 0.235359 0.197489i −0.517478 0.855696i \(-0.673129\pi\)
0.752837 + 0.658207i \(0.228685\pi\)
\(294\) −278.051 + 115.793i −0.945752 + 0.393852i
\(295\) −220.910 606.944i −0.748846 2.05744i
\(296\) 421.317 + 181.081i 1.42337 + 0.611759i
\(297\) 52.9245 337.381i 0.178197 1.13596i
\(298\) 59.4958 + 8.09981i 0.199650 + 0.0271806i
\(299\) 45.7536 + 125.707i 0.153022 + 0.420424i
\(300\) −115.461 116.042i −0.384872 0.386807i
\(301\) −508.813 + 426.945i −1.69041 + 1.41842i
\(302\) −166.781 + 6.54516i −0.552253 + 0.0216727i
\(303\) −242.750 + 293.034i −0.801156 + 0.967110i
\(304\) 83.1051 28.5983i 0.273372 0.0940733i
\(305\) −98.2963 + 170.254i −0.322283 + 0.558211i
\(306\) −225.694 242.277i −0.737561 0.791754i
\(307\) 240.418 138.805i 0.783121 0.452135i −0.0544142 0.998518i \(-0.517329\pi\)
0.837535 + 0.546383i \(0.183996\pi\)
\(308\) 216.979 454.799i 0.704479 1.47662i
\(309\) −83.2321 455.215i −0.269360 1.47319i
\(310\) −184.704 + 351.025i −0.595818 + 1.13234i
\(311\) 8.27881 22.7459i 0.0266200 0.0731378i −0.925671 0.378330i \(-0.876498\pi\)
0.952291 + 0.305192i \(0.0987207\pi\)
\(312\) −91.2671 296.601i −0.292523 0.950643i
\(313\) 27.9677 158.613i 0.0893538 0.506751i −0.906978 0.421178i \(-0.861617\pi\)
0.996332 0.0855728i \(-0.0272720\pi\)
\(314\) −44.2370 108.144i −0.140882 0.344407i
\(315\) 486.043 + 272.496i 1.54299 + 0.865067i
\(316\) 212.407 + 216.186i 0.672173 + 0.684134i
\(317\) 163.182 + 136.926i 0.514771 + 0.431944i 0.862804 0.505538i \(-0.168706\pi\)
−0.348034 + 0.937482i \(0.613150\pi\)
\(318\) −77.7447 347.555i −0.244480 1.09294i
\(319\) 124.154 21.8918i 0.389199 0.0686263i
\(320\) −395.269 45.1455i −1.23522 0.141080i
\(321\) 75.1220 0.474084i 0.234025 0.00147690i
\(322\) −201.398 + 43.7181i −0.625459 + 0.135770i
\(323\) 101.045i 0.312832i
\(324\) 291.355 141.733i 0.899245 0.437446i
\(325\) −176.388 −0.542731
\(326\) 88.3948 + 407.212i 0.271150 + 1.24912i
\(327\) −0.0308886 4.89453i −9.44607e−5 0.0149680i
\(328\) 71.8364 21.6095i 0.219013 0.0658827i
\(329\) 52.7722 + 299.286i 0.160402 + 0.909684i
\(330\) −460.375 + 102.981i −1.39507 + 0.312065i
\(331\) −177.153 + 211.123i −0.535205 + 0.637833i −0.964106 0.265519i \(-0.914457\pi\)
0.428900 + 0.903352i \(0.358901\pi\)
\(332\) −74.3727 75.6961i −0.224014 0.228000i
\(333\) 263.571 + 443.496i 0.791505 + 1.33182i
\(334\) −327.120 + 133.811i −0.979401 + 0.400631i
\(335\) 605.936 + 106.843i 1.80876 + 0.318934i
\(336\) 471.722 77.6792i 1.40394 0.231188i
\(337\) −59.6851 21.7236i −0.177107 0.0644617i 0.251944 0.967742i \(-0.418930\pi\)
−0.429052 + 0.903280i \(0.641152\pi\)
\(338\) 3.20317 + 1.68546i 0.00947683 + 0.00498656i
\(339\) −99.5587 + 18.2034i −0.293683 + 0.0536975i
\(340\) −196.951 + 412.819i −0.579268 + 1.21417i
\(341\) 201.771 + 349.478i 0.591704 + 1.02486i
\(342\) 94.5389 + 28.9566i 0.276429 + 0.0846684i
\(343\) −10.3481 5.97449i −0.0301695 0.0174184i
\(344\) 476.443 240.065i 1.38501 0.697862i
\(345\) 148.578 + 123.083i 0.430662 + 0.356761i
\(346\) −2.42317 61.7461i −0.00700339 0.178457i
\(347\) 95.6242 + 113.961i 0.275574 + 0.328417i 0.886025 0.463638i \(-0.153456\pi\)
−0.610451 + 0.792054i \(0.709012\pi\)
\(348\) 84.3626 + 84.7868i 0.242421 + 0.243640i
\(349\) −28.0401 + 10.2058i −0.0803441 + 0.0292428i −0.381879 0.924212i \(-0.624723\pi\)
0.301535 + 0.953455i \(0.402501\pi\)
\(350\) 36.6563 269.253i 0.104732 0.769293i
\(351\) 113.173 330.263i 0.322429 0.940920i
\(352\) −253.414 + 315.599i −0.719927 + 0.896588i
\(353\) −312.073 + 113.585i −0.884059 + 0.321771i −0.743847 0.668350i \(-0.767001\pi\)
−0.140213 + 0.990121i \(0.544779\pi\)
\(354\) −239.671 575.518i −0.677036 1.62576i
\(355\) 334.970 + 399.202i 0.943579 + 1.12451i
\(356\) −40.9007 + 424.362i −0.114890 + 1.19203i
\(357\) 92.0264 541.883i 0.257777 1.51788i
\(358\) 225.274 204.606i 0.629258 0.571525i
\(359\) 79.0415 + 45.6346i 0.220171 + 0.127116i 0.606030 0.795442i \(-0.292761\pi\)
−0.385858 + 0.922558i \(0.626095\pi\)
\(360\) −329.799 302.573i −0.916108 0.840480i
\(361\) −165.413 286.505i −0.458209 0.793641i
\(362\) −41.8639 + 130.762i −0.115646 + 0.361222i
\(363\) −39.3035 + 110.143i −0.108274 + 0.303425i
\(364\) 299.179 419.352i 0.821919 1.15206i
\(365\) 536.514 + 195.275i 1.46990 + 0.535000i
\(366\) −87.2985 + 168.480i −0.238521 + 0.460329i
\(367\) 463.179 + 81.6710i 1.26207 + 0.222537i 0.764350 0.644802i \(-0.223060\pi\)
0.497719 + 0.867339i \(0.334171\pi\)
\(368\) 165.509 + 2.91936i 0.449751 + 0.00793305i
\(369\) 79.6618 + 27.8610i 0.215886 + 0.0755041i
\(370\) 436.331 563.476i 1.17927 1.52291i
\(371\) 380.012 452.881i 1.02429 1.22070i
\(372\) −162.671 + 346.578i −0.437289 + 0.931662i
\(373\) −103.073 584.554i −0.276334 1.56717i −0.734692 0.678401i \(-0.762673\pi\)
0.458357 0.888768i \(-0.348438\pi\)
\(374\) 248.293 + 393.561i 0.663885 + 1.05230i
\(375\) 182.770 107.066i 0.487387 0.285509i
\(376\) 13.8723 243.707i 0.0368945 0.648156i
\(377\) 128.879 0.341853
\(378\) 480.622 + 241.390i 1.27149 + 0.638598i
\(379\) 189.006i 0.498698i 0.968414 + 0.249349i \(0.0802166\pi\)
−0.968414 + 0.249349i \(0.919783\pi\)
\(380\) −10.7037 136.163i −0.0281676 0.358324i
\(381\) −78.5880 + 138.124i −0.206268 + 0.362531i
\(382\) 150.505 + 238.560i 0.393992 + 0.624503i
\(383\) −235.927 + 41.6003i −0.615998 + 0.108617i −0.472936 0.881097i \(-0.656806\pi\)
−0.143062 + 0.989714i \(0.545695\pi\)
\(384\) −383.108 26.1635i −0.997676 0.0681342i
\(385\) −599.890 503.368i −1.55816 1.30745i
\(386\) −258.241 + 333.491i −0.669018 + 0.863967i
\(387\) 592.344 + 96.7542i 1.53060 + 0.250011i
\(388\) −0.368875 1.42688i −0.000950710 0.00367751i
\(389\) 120.441 683.055i 0.309617 1.75593i −0.291316 0.956627i \(-0.594093\pi\)
0.600933 0.799300i \(-0.294796\pi\)
\(390\) −481.763 + 21.9521i −1.23529 + 0.0562875i
\(391\) 65.0913 178.837i 0.166474 0.457383i
\(392\) 292.474 + 275.208i 0.746108 + 0.702062i
\(393\) −336.377 + 285.891i −0.855921 + 0.727457i
\(394\) −35.6142 + 111.241i −0.0903915 + 0.282338i
\(395\) 407.891 235.496i 1.03264 0.596193i
\(396\) −439.375 + 119.523i −1.10953 + 0.301826i
\(397\) −15.0758 + 26.1121i −0.0379744 + 0.0657736i −0.884388 0.466753i \(-0.845424\pi\)
0.846414 + 0.532526i \(0.178757\pi\)
\(398\) 74.3270 67.5077i 0.186751 0.169617i
\(399\) 57.1078 + 153.874i 0.143127 + 0.385649i
\(400\) −78.2563 + 203.753i −0.195641 + 0.509382i
\(401\) 386.613 324.407i 0.964122 0.808994i −0.0174971 0.999847i \(-0.505570\pi\)
0.981619 + 0.190853i \(0.0611253\pi\)
\(402\) 588.947 + 76.3973i 1.46504 + 0.190043i
\(403\) 141.095 + 387.655i 0.350111 + 0.961922i
\(404\) 488.897 + 135.632i 1.21014 + 0.335722i
\(405\) −99.9224 493.500i −0.246722 1.21852i
\(406\) −26.7831 + 196.731i −0.0659683 + 0.484559i
\(407\) −247.979 681.316i −0.609285 1.67400i
\(408\) −171.766 + 406.699i −0.420994 + 0.996812i
\(409\) −420.765 + 353.064i −1.02877 + 0.863238i −0.990704 0.136038i \(-0.956563\pi\)
−0.0380628 + 0.999275i \(0.512119\pi\)
\(410\) −4.57155 116.490i −0.0111501 0.284122i
\(411\) −184.527 497.198i −0.448971 1.20973i
\(412\) −508.531 + 349.435i −1.23430 + 0.848143i
\(413\) 517.441 896.234i 1.25288 2.17006i
\(414\) 148.669 + 112.150i 0.359104 + 0.270894i
\(415\) −142.820 + 82.4574i −0.344145 + 0.198692i
\(416\) −311.149 + 272.744i −0.747954 + 0.655634i
\(417\) −173.861 + 147.766i −0.416932 + 0.354355i
\(418\) −122.971 64.7053i −0.294189 0.154797i
\(419\) −270.119 + 742.145i −0.644675 + 1.77123i −0.00815915 + 0.999967i \(0.502597\pi\)
−0.636516 + 0.771264i \(0.719625\pi\)
\(420\) 66.6088 739.965i 0.158592 1.76182i
\(421\) −89.7696 + 509.109i −0.213229 + 1.20928i 0.670723 + 0.741708i \(0.265984\pi\)
−0.883953 + 0.467576i \(0.845127\pi\)
\(422\) −375.266 + 153.505i −0.889256 + 0.363756i
\(423\) 173.849 212.578i 0.410991 0.502547i
\(424\) −380.522 + 284.067i −0.897457 + 0.669970i
\(425\) 192.229 + 161.300i 0.452305 + 0.379529i
\(426\) 340.523 + 370.200i 0.799349 + 0.869013i
\(427\) −310.204 + 54.6973i −0.726472 + 0.128097i
\(428\) −41.5292 91.1498i −0.0970309 0.212967i
\(429\) −242.633 + 426.446i −0.565579 + 0.994046i
\(430\) −175.879 810.229i −0.409021 1.88425i
\(431\) 0.0973931i 0.000225970i −1.00000 0.000112985i \(-0.999964\pi\)
1.00000 0.000112985i \(-3.59642e-5\pi\)
\(432\) −331.291 277.255i −0.766876 0.641795i
\(433\) −614.925 −1.42015 −0.710075 0.704126i \(-0.751339\pi\)
−0.710075 + 0.704126i \(0.751339\pi\)
\(434\) −621.070 + 134.818i −1.43104 + 0.310640i
\(435\) 160.384 93.9521i 0.368698 0.215982i
\(436\) −5.93880 + 2.70581i −0.0136211 + 0.00620599i
\(437\) 9.86843 + 55.9666i 0.0225822 + 0.128070i
\(438\) 525.894 + 164.715i 1.20067 + 0.376062i
\(439\) 180.311 214.887i 0.410732 0.489492i −0.520529 0.853844i \(-0.674265\pi\)
0.931261 + 0.364352i \(0.118710\pi\)
\(440\) 376.278 + 504.043i 0.855178 + 1.14555i
\(441\) 84.0631 + 443.908i 0.190619 + 1.00659i
\(442\) 180.105 + 440.294i 0.407478 + 0.996139i
\(443\) −454.262 80.0986i −1.02542 0.180809i −0.364452 0.931222i \(-0.618744\pi\)
−0.660969 + 0.750413i \(0.729855\pi\)
\(444\) 395.960 562.482i 0.891802 1.26685i
\(445\) 622.582 + 226.601i 1.39906 + 0.509217i
\(446\) 216.973 412.351i 0.486485 0.924554i
\(447\) 30.2700 84.8280i 0.0677181 0.189772i
\(448\) −351.677 531.644i −0.784993 1.18671i
\(449\) 62.6003 + 108.427i 0.139422 + 0.241485i 0.927278 0.374374i \(-0.122142\pi\)
−0.787856 + 0.615859i \(0.788809\pi\)
\(450\) −206.002 + 133.629i −0.457782 + 0.296953i
\(451\) −102.714 59.3022i −0.227748 0.131491i
\(452\) 76.4238 + 111.219i 0.169079 + 0.246060i
\(453\) −41.9183 + 246.829i −0.0925349 + 0.544877i
\(454\) 453.194 17.7852i 0.998224 0.0391744i
\(455\) −514.583 613.256i −1.13095 1.34782i
\(456\) −16.3031 130.820i −0.0357523 0.286886i
\(457\) −276.462 + 100.624i −0.604951 + 0.220184i −0.626292 0.779588i \(-0.715428\pi\)
0.0213418 + 0.999772i \(0.493206\pi\)
\(458\) −876.098 119.273i −1.91288 0.260421i
\(459\) −425.350 + 256.433i −0.926688 + 0.558677i
\(460\) 68.7698 247.887i 0.149499 0.538886i
\(461\) 644.039 234.411i 1.39705 0.508484i 0.469747 0.882801i \(-0.344345\pi\)
0.927301 + 0.374317i \(0.122123\pi\)
\(462\) −600.539 458.998i −1.29987 0.993502i
\(463\) −323.986 386.112i −0.699755 0.833935i 0.292744 0.956191i \(-0.405432\pi\)
−0.992499 + 0.122256i \(0.960987\pi\)
\(464\) 57.1784 148.873i 0.123229 0.320847i
\(465\) 458.185 + 379.562i 0.985345 + 0.816261i
\(466\) −49.0669 54.0234i −0.105294 0.115930i
\(467\) 527.100 + 304.321i 1.12869 + 0.651651i 0.943606 0.331071i \(-0.107410\pi\)
0.185087 + 0.982722i \(0.440743\pi\)
\(468\) −463.558 + 42.3332i −0.990510 + 0.0904555i
\(469\) 492.917 + 853.757i 1.05099 + 1.82038i
\(470\) −361.284 115.666i −0.768688 0.246098i
\(471\) −172.404 + 31.5227i −0.366039 + 0.0669271i
\(472\) −569.634 + 605.372i −1.20685 + 1.28257i
\(473\) −792.630 288.494i −1.67575 0.609923i
\(474\) 382.948 244.990i 0.807908 0.516856i
\(475\) −73.7945 13.0120i −0.155357 0.0273936i
\(476\) −709.529 + 183.427i −1.49061 + 0.385351i
\(477\) −534.174 + 6.74245i −1.11986 + 0.0141351i
\(478\) −54.5781 42.2629i −0.114180 0.0884160i
\(479\) −409.768 + 488.343i −0.855466 + 1.01951i 0.144085 + 0.989565i \(0.453976\pi\)
−0.999552 + 0.0299399i \(0.990468\pi\)
\(480\) −188.382 + 566.244i −0.392462 + 1.17968i
\(481\) −128.707 729.935i −0.267583 1.51754i
\(482\) 102.142 64.4403i 0.211913 0.133694i
\(483\) 1.95085 + 309.126i 0.00403903 + 0.640013i
\(484\) 155.448 12.2197i 0.321174 0.0252472i
\(485\) −2.29035 −0.00472237
\(486\) −118.029 471.450i −0.242858 0.970062i
\(487\) 445.312i 0.914398i −0.889364 0.457199i \(-0.848853\pi\)
0.889364 0.457199i \(-0.151147\pi\)
\(488\) 252.597 + 14.3784i 0.517616 + 0.0294639i
\(489\) 625.031 3.94448i 1.27818 0.00806642i
\(490\) 527.839 333.008i 1.07722 0.679608i
\(491\) −101.783 + 17.9471i −0.207298 + 0.0365522i −0.276333 0.961062i \(-0.589119\pi\)
0.0690348 + 0.997614i \(0.478008\pi\)
\(492\) −9.52602 112.120i −0.0193618 0.227887i
\(493\) −140.454 117.855i −0.284896 0.239056i
\(494\) −112.315 86.9714i −0.227357 0.176056i
\(495\) 8.93112 + 707.572i 0.0180427 + 1.42944i
\(496\) 510.395 + 9.00272i 1.02902 + 0.0181507i
\(497\) −144.990 + 822.278i −0.291730 + 1.65448i
\(498\) −134.087 + 85.7815i −0.269250 + 0.172252i
\(499\) 41.0219 112.707i 0.0822082 0.225865i −0.891778 0.452474i \(-0.850542\pi\)
0.973986 + 0.226609i \(0.0727638\pi\)
\(500\) −229.914 164.028i −0.459827 0.328055i
\(501\) 95.3517 + 521.500i 0.190323 + 1.04092i
\(502\) 495.040 + 158.489i 0.986135 + 0.315714i
\(503\) 169.804 98.0363i 0.337582 0.194903i −0.321620 0.946869i \(-0.604227\pi\)
0.659202 + 0.751966i \(0.270894\pi\)
\(504\) 31.7143 716.412i 0.0629252 1.42145i
\(505\) 394.235 682.835i 0.780664 1.35215i
\(506\) −175.961 193.736i −0.347750 0.382878i
\(507\) 3.46358 4.18103i 0.00683151 0.00824661i
\(508\) 210.911 + 20.3280i 0.415179 + 0.0400157i
\(509\) −97.5661 + 81.8677i −0.191682 + 0.160840i −0.733578 0.679605i \(-0.762151\pi\)
0.541896 + 0.840446i \(0.317707\pi\)
\(510\) 545.106 + 416.630i 1.06883 + 0.816921i
\(511\) 312.878 + 859.625i 0.612286 + 1.68224i
\(512\) 177.013 + 480.427i 0.345729 + 0.938334i
\(513\) 71.7107 129.822i 0.139787 0.253064i
\(514\) 23.1198 + 3.14755i 0.0449802 + 0.00612364i
\(515\) 327.955 + 901.050i 0.636807 + 1.74961i
\(516\) −205.183 773.508i −0.397642 1.49905i
\(517\) −295.644 + 248.075i −0.571846 + 0.479835i
\(518\) 1140.98 44.7768i 2.20267 0.0864417i
\(519\) −91.3820 15.5191i −0.176073 0.0299020i
\(520\) 289.342 + 574.241i 0.556427 + 1.10431i
\(521\) 115.430 199.931i 0.221555 0.383745i −0.733725 0.679447i \(-0.762220\pi\)
0.955280 + 0.295701i \(0.0955533\pi\)
\(522\) 150.517 97.6366i 0.288346 0.187043i
\(523\) −466.660 + 269.426i −0.892275 + 0.515155i −0.874686 0.484690i \(-0.838932\pi\)
−0.0175889 + 0.999845i \(0.505599\pi\)
\(524\) 531.245 + 253.451i 1.01383 + 0.483685i
\(525\) −383.895 136.989i −0.731229 0.260932i
\(526\) −6.71265 + 12.7572i −0.0127617 + 0.0242533i
\(527\) 200.728 551.497i 0.380889 1.04648i
\(528\) 384.959 + 469.473i 0.729088 + 0.889154i
\(529\) 73.2730 415.552i 0.138512 0.785543i
\(530\) 279.395 + 683.023i 0.527161 + 1.28872i
\(531\) −918.813 + 173.996i −1.73035 + 0.327677i
\(532\) 156.101 153.372i 0.293423 0.288293i
\(533\) −92.8806 77.9361i −0.174260 0.146221i
\(534\) 610.259 + 191.139i 1.14281 + 0.357938i
\(535\) −153.297 + 27.0304i −0.286536 + 0.0505240i
\(536\) −228.101 758.276i −0.425562 1.41469i
\(537\) −230.732 393.878i −0.429669 0.733479i
\(538\) 715.534 155.323i 1.32999 0.288705i
\(539\) 634.946i 1.17801i
\(540\) −546.017 + 390.614i −1.01114 + 0.723360i
\(541\) −667.433 −1.23370 −0.616851 0.787080i \(-0.711592\pi\)
−0.616851 + 0.787080i \(0.711592\pi\)
\(542\) −139.348 641.938i −0.257099 1.18439i
\(543\) 179.004 + 101.848i 0.329658 + 0.187564i
\(544\) 588.508 12.7061i 1.08182 0.0233569i
\(545\) 1.76115 + 9.98795i 0.00323146 + 0.0183265i
\(546\) −523.112 568.702i −0.958081 1.04158i
\(547\) 275.089 327.838i 0.502905 0.599338i −0.453546 0.891233i \(-0.649841\pi\)
0.956450 + 0.291895i \(0.0942856\pi\)
\(548\) −504.395 + 495.577i −0.920430 + 0.904337i
\(549\) 220.332 + 180.191i 0.401333 + 0.328217i
\(550\) 319.398 130.652i 0.580723 0.237549i
\(551\) 53.9184 + 9.50726i 0.0978555 + 0.0172546i
\(552\) 55.4177 242.038i 0.100394 0.438475i
\(553\) 709.133 + 258.103i 1.28234 + 0.466733i
\(554\) −854.253 449.494i −1.54197 0.811362i
\(555\) −692.291 814.545i −1.24737 1.46765i
\(556\) 274.581 + 130.999i 0.493850 + 0.235610i
\(557\) −243.131 421.115i −0.436501 0.756042i 0.560916 0.827873i \(-0.310449\pi\)
−0.997417 + 0.0718308i \(0.977116\pi\)
\(558\) 458.465 + 345.848i 0.821622 + 0.619800i
\(559\) −746.767 431.146i −1.33590 0.771281i
\(560\) −936.698 + 322.339i −1.67268 + 0.575605i
\(561\) 654.393 242.867i 1.16648 0.432918i
\(562\) 23.8582 + 607.942i 0.0424523 + 1.08175i
\(563\) 122.684 + 146.209i 0.217911 + 0.259696i 0.863915 0.503638i \(-0.168005\pi\)
−0.646004 + 0.763334i \(0.723561\pi\)
\(564\) −353.437 95.6537i −0.626661 0.169599i
\(565\) 197.066 71.7261i 0.348789 0.126949i
\(566\) −48.6740 + 357.527i −0.0859964 + 0.631673i
\(567\) 502.806 630.900i 0.886784 1.11270i
\(568\) 264.823 616.159i 0.466239 1.08479i
\(569\) −166.587 + 60.6327i −0.292772 + 0.106560i −0.484230 0.874940i \(-0.660900\pi\)
0.191459 + 0.981501i \(0.438678\pi\)
\(570\) −203.172 26.3552i −0.356443 0.0462372i
\(571\) −583.706 695.633i −1.02225 1.21827i −0.975644 0.219358i \(-0.929604\pi\)
−0.0466070 0.998913i \(1.48516\pi\)
\(572\) 651.168 + 62.7607i 1.13841 + 0.109721i
\(573\) 396.665 147.216i 0.692260 0.256921i
\(574\) 138.270 125.584i 0.240889 0.218788i
\(575\) −122.225 70.5668i −0.212566 0.122725i
\(576\) −156.762 + 554.258i −0.272156 + 0.962253i
\(577\) −327.002 566.384i −0.566728 0.981602i −0.996887 0.0788486i \(-0.974876\pi\)
0.430158 0.902753i \(-0.358458\pi\)
\(578\) 30.1136 94.0600i 0.0520997 0.162734i
\(579\) 409.730 + 482.086i 0.707652 + 0.832619i
\(580\) −201.753 143.937i −0.347850 0.248167i
\(581\) −248.298 90.3731i −0.427363 0.155548i
\(582\) −2.20839 + 0.100628i −0.00379448 + 0.000172900i
\(583\) 739.369 + 130.371i 1.26822 + 0.223621i
\(584\) −86.2638 729.700i −0.147712 1.24949i
\(585\) −116.615 + 713.933i −0.199341 + 1.22040i
\(586\) −110.231 + 142.352i −0.188108 + 0.242922i
\(587\) −531.514 + 633.433i −0.905475 + 1.07910i 0.0910532 + 0.995846i \(0.470977\pi\)
−0.996528 + 0.0832570i \(0.973468\pi\)
\(588\) 494.319 344.282i 0.840679 0.585513i
\(589\) 30.4322 + 172.590i 0.0516676 + 0.293022i
\(590\) 689.269 + 1092.54i 1.16825 + 1.85176i
\(591\) 152.282 + 86.6431i 0.257668 + 0.146604i
\(592\) −900.282 175.169i −1.52075 0.295893i
\(593\) −612.406 −1.03273 −0.516363 0.856370i \(-0.672714\pi\)
−0.516363 + 0.856370i \(0.672714\pi\)
\(594\) 39.6992 + 681.859i 0.0668336 + 1.14791i
\(595\) 1138.90i 1.91412i
\(596\) −119.720 + 9.41111i −0.200872 + 0.0157904i
\(597\) −76.1277 129.956i −0.127517 0.217682i
\(598\) −142.758 226.280i −0.238725 0.378395i
\(599\) −332.336 + 58.5998i −0.554818 + 0.0978295i −0.444026 0.896014i \(-0.646450\pi\)
−0.110793 + 0.993844i \(0.535339\pi\)
\(600\) 274.900 + 177.816i 0.458167 + 0.296359i
\(601\) 690.482 + 579.383i 1.14889 + 0.964032i 0.999693 0.0247762i \(-0.00788733\pi\)
0.149195 + 0.988808i \(0.452332\pi\)
\(602\) 813.328 1050.33i 1.35104 1.74473i
\(603\) 294.089 840.877i 0.487711 1.39449i
\(604\) 323.193 83.5516i 0.535087 0.138330i
\(605\) 42.0785 238.639i 0.0695513 0.394445i
\(606\) 350.126 675.721i 0.577766 1.11505i
\(607\) 120.427 330.870i 0.198397 0.545091i −0.800102 0.599864i \(-0.795221\pi\)
0.998499 + 0.0547728i \(0.0174435\pi\)
\(608\) −150.294 + 91.1535i −0.247194 + 0.149923i
\(609\) 280.495 + 100.092i 0.460583 + 0.164354i
\(610\) 119.885 374.462i 0.196533 0.613873i
\(611\) −341.677 + 197.267i −0.559210 + 0.322860i
\(612\) 543.904 + 377.771i 0.888732 + 0.617273i
\(613\) 166.058 287.621i 0.270894 0.469203i −0.698197 0.715906i \(-0.746014\pi\)
0.969091 + 0.246703i \(0.0793473\pi\)
\(614\) −411.002 + 373.294i −0.669385 + 0.607971i
\(615\) −172.401 29.2784i −0.280327 0.0476071i
\(616\) −231.127 + 980.954i −0.375205 + 1.59246i
\(617\) −95.0693 + 79.7727i −0.154083 + 0.129291i −0.716570 0.697515i \(-0.754289\pi\)
0.562487 + 0.826806i \(0.309845\pi\)
\(618\) 355.808 + 854.397i 0.575741 + 1.38252i
\(619\) 278.295 + 764.608i 0.449588 + 1.23523i 0.933012 + 0.359845i \(0.117171\pi\)
−0.483424 + 0.875386i \(0.660607\pi\)
\(620\) 212.072 764.434i 0.342052 1.23296i
\(621\) 210.549 183.575i 0.339048 0.295611i
\(622\) −6.53051 + 47.9688i −0.0104992 + 0.0771202i
\(623\) 363.070 + 997.528i 0.582778 + 1.60117i
\(624\) 304.217 + 540.979i 0.487528 + 0.866953i
\(625\) −597.474 + 501.340i −0.955958 + 0.802144i
\(626\) 12.6316 + 321.872i 0.0201782 + 0.514172i
\(627\) −132.968 + 160.511i −0.212070 + 0.255999i
\(628\) 132.342 + 192.597i 0.210736 + 0.306683i
\(629\) −527.231 + 913.191i −0.838205 + 1.45181i
\(630\) −1065.57 326.377i −1.69138 0.518059i
\(631\) 14.4536 8.34478i 0.0229058 0.0132247i −0.488503 0.872562i \(-0.662457\pi\)
0.511409 + 0.859337i \(0.329124\pi\)
\(632\) −506.865 332.415i −0.802002 0.525973i
\(633\) 109.386 + 598.255i 0.172805 + 0.945110i
\(634\) −377.030 198.387i −0.594684 0.312913i
\(635\) 112.623 309.428i 0.177358 0.487288i
\(636\) 299.406 + 646.305i 0.470765 + 1.01620i
\(637\) 112.714 639.231i 0.176945 1.00350i
\(638\) −233.370 + 95.4616i −0.365783 + 0.149626i
\(639\) 648.596 385.463i 1.01502 0.603228i
\(640\) 791.700 79.4630i 1.23703 0.124161i
\(641\) −280.593 235.446i −0.437743 0.367310i 0.397121 0.917766i \(-0.370009\pi\)
−0.834864 + 0.550456i \(0.814454\pi\)
\(642\) −146.623 + 32.7983i −0.228385 + 0.0510877i
\(643\) −62.1787 + 10.9638i −0.0967010 + 0.0170510i −0.221789 0.975095i \(-0.571190\pi\)
0.125088 + 0.992146i \(0.460079\pi\)
\(644\) 375.080 170.892i 0.582423 0.265361i
\(645\) −1243.62 + 7.84833i −1.92810 + 0.0121679i
\(646\) 42.8698 + 197.490i 0.0663619 + 0.305712i
\(647\) 451.741i 0.698209i −0.937084 0.349105i \(-0.886486\pi\)
0.937084 0.349105i \(-0.113514\pi\)
\(648\) −509.316 + 400.626i −0.785982 + 0.618250i
\(649\) 1314.23 2.02501
\(650\) 344.746 74.8352i 0.530379 0.115131i
\(651\) 6.01603 + 953.282i 0.00924121 + 1.46434i
\(652\) −345.532 758.385i −0.529957 1.16317i
\(653\) −70.8989 402.088i −0.108574 0.615755i −0.989732 0.142933i \(-0.954347\pi\)
0.881158 0.472822i \(-0.156764\pi\)
\(654\) 2.13695 + 9.55315i 0.00326751 + 0.0146073i
\(655\) 587.977 700.723i 0.897675 1.06981i
\(656\) −131.235 + 72.7131i −0.200053 + 0.110843i
\(657\) 404.246 721.041i 0.615291 1.09748i
\(658\) −230.119 562.560i −0.349725 0.854954i
\(659\) −45.3803 8.00177i −0.0688624 0.0121423i 0.139111 0.990277i \(-0.455576\pi\)
−0.207973 + 0.978135i \(0.566687\pi\)
\(660\) 856.102 396.596i 1.29712 0.600904i
\(661\) −731.802 266.354i −1.10711 0.402956i −0.277179 0.960818i \(-0.589400\pi\)
−0.829934 + 0.557862i \(0.811622\pi\)
\(662\) 256.670 487.795i 0.387719 0.736851i
\(663\) 701.923 128.340i 1.05871 0.193575i
\(664\) 177.475 + 116.393i 0.267282 + 0.175291i
\(665\) −170.044 294.525i −0.255706 0.442895i
\(666\) −703.305 754.980i −1.05601 1.13360i
\(667\) 89.3046 + 51.5600i 0.133890 + 0.0773014i
\(668\) 582.579 400.317i 0.872124 0.599276i
\(669\) −538.233 445.874i −0.804534 0.666478i
\(670\) −1229.62 + 48.2554i −1.83525 + 0.0720230i
\(671\) −257.124 306.429i −0.383196 0.456675i
\(672\) −889.016 + 351.958i −1.32294 + 0.523747i
\(673\) 1050.31 382.282i 1.56064 0.568027i 0.589757 0.807581i \(-0.299223\pi\)
0.970883 + 0.239554i \(0.0770012\pi\)
\(674\) 125.870 + 17.1360i 0.186751 + 0.0254244i
\(675\) 132.503 + 343.662i 0.196301 + 0.509128i
\(676\) −6.97562 1.93520i −0.0103190 0.00286272i
\(677\) 326.547 118.853i 0.482344 0.175559i −0.0893920 0.995997i \(-0.528492\pi\)
0.571736 + 0.820438i \(0.306270\pi\)
\(678\) 186.863 77.8176i 0.275608 0.114775i
\(679\) −2.35883 2.81115i −0.00347398 0.00414013i
\(680\) 209.792 890.407i 0.308518 1.30942i
\(681\) 113.905 670.710i 0.167261 0.984890i
\(682\) −542.630 597.444i −0.795645 0.876017i
\(683\) −1169.82 675.394i −1.71276 0.988863i −0.930794 0.365544i \(-0.880883\pi\)
−0.781967 0.623319i \(1.21422\pi\)
\(684\) −197.060 16.4856i −0.288099 0.0241017i
\(685\) 549.448 + 951.673i 0.802115 + 1.38930i
\(686\) 22.7600 + 7.28668i 0.0331778 + 0.0106220i
\(687\) −445.737 + 1249.12i −0.648816 + 1.81823i
\(688\) −829.347 + 671.340i −1.20545 + 0.975785i
\(689\) 721.217 + 262.501i 1.04676 + 0.380989i
\(690\) −342.613 177.526i −0.496541 0.257284i
\(691\) −116.321 20.5106i −0.168338 0.0296824i 0.0888440 0.996046i \(-0.471683\pi\)
−0.257182 + 0.966363i \(0.582794\pi\)
\(692\) 30.9328 + 119.654i 0.0447006 + 0.172910i
\(693\) −859.267 + 739.691i −1.23992 + 1.06738i
\(694\) −235.245 182.164i −0.338970 0.262484i
\(695\) 303.903 362.178i 0.437271 0.521119i
\(696\) −200.857 129.922i −0.288588 0.186670i
\(697\) 29.9529 + 169.871i 0.0429740 + 0.243718i
\(698\) 50.4739 31.8434i 0.0723121 0.0456209i
\(699\) −94.4566 + 55.3323i −0.135131 + 0.0791592i
\(700\) 42.5906 + 541.801i 0.0608438 + 0.774002i
\(701\) 1114.27 1.58954 0.794772 0.606908i \(-0.207590\pi\)
0.794772 + 0.606908i \(0.207590\pi\)
\(702\) −81.0745 + 693.508i −0.115491 + 0.987903i
\(703\) 314.874i 0.447901i
\(704\) 361.395 724.347i 0.513346 1.02890i
\(705\) −281.395 + 494.572i −0.399142 + 0.701521i
\(706\) 561.751 354.402i 0.795681 0.501986i
\(707\) 1244.13 219.373i 1.75973 0.310287i
\(708\) 712.605 + 1023.16i 1.00650 + 1.44514i
\(709\) −239.174 200.691i −0.337340 0.283062i 0.458343 0.888776i \(-0.348443\pi\)
−0.795683 + 0.605714i \(0.792888\pi\)
\(710\) −824.061 638.117i −1.16065 0.898756i
\(711\) −241.297 637.794i −0.339377 0.897039i
\(712\) −100.102 846.760i −0.140593 1.18927i
\(713\) −57.3181 + 325.067i −0.0803900 + 0.455915i
\(714\) 50.0383 + 1098.14i 0.0700817 + 1.53802i
\(715\) 347.712 955.331i 0.486310 1.33613i
\(716\) −353.487 + 495.475i −0.493697 + 0.692004i
\(717\) −78.8966 + 67.0551i −0.110037 + 0.0935217i
\(718\) −173.846 55.6575i −0.242126 0.0775174i
\(719\) 787.372 454.590i 1.09509 0.632253i 0.160166 0.987090i \(-0.448797\pi\)
0.934928 + 0.354838i \(0.115464\pi\)
\(720\) 772.957 + 451.451i 1.07355 + 0.627015i
\(721\) −768.177 + 1330.52i −1.06543 + 1.84538i
\(722\) 444.852 + 489.789i 0.616138 + 0.678378i
\(723\) −63.0320 169.837i −0.0871813 0.234905i
\(724\) 26.3444 273.334i 0.0363873 0.377533i
\(725\) −104.158 + 87.3988i −0.143666 + 0.120550i
\(726\) 30.0880 231.948i 0.0414435 0.319488i
\(727\) 101.316 + 278.362i 0.139361 + 0.382892i 0.989665 0.143401i \(-0.0458039\pi\)
−0.850304 + 0.526293i \(0.823582\pi\)
\(728\) −406.823 + 946.546i −0.558822 + 1.30020i
\(729\) −728.477 + 27.5967i −0.999283 + 0.0378556i
\(730\) −1131.46 154.037i −1.54994 0.211010i
\(731\) 419.570 + 1152.76i 0.573967 + 1.57696i
\(732\) 99.1429 366.329i 0.135441 0.500450i
\(733\) 834.756 700.443i 1.13882 0.955584i 0.139421 0.990233i \(-0.455476\pi\)
0.999400 + 0.0346489i \(0.0110313\pi\)
\(734\) −939.925 + 36.8865i −1.28055 + 0.0502542i
\(735\) −325.730 877.663i −0.443171 1.19410i
\(736\) −324.722 + 64.5137i −0.441198 + 0.0876545i
\(737\) −625.970 + 1084.21i −0.849349 + 1.47112i
\(738\) −167.518 20.6561i −0.226989 0.0279893i
\(739\) −477.169 + 275.493i −0.645695 + 0.372792i −0.786805 0.617202i \(-0.788266\pi\)
0.141110 + 0.989994i \(0.454933\pi\)
\(740\) −613.737 + 1286.42i −0.829375 + 1.73841i
\(741\) −162.359 + 137.991i −0.219108 + 0.186222i
\(742\) −550.585 + 1046.37i −0.742028 + 1.41021i
\(743\) −46.7934 + 128.564i −0.0629789 + 0.173033i −0.967191 0.254051i \(-0.918237\pi\)
0.904212 + 0.427084i \(0.140459\pi\)
\(744\) 170.897 746.396i 0.229700 1.00322i
\(745\) −32.4072 + 183.790i −0.0434996 + 0.246699i
\(746\) 449.460 + 1098.77i 0.602493 + 1.47288i
\(747\) 84.4885 + 223.319i 0.113104 + 0.298955i
\(748\) −652.259 663.865i −0.872004 0.887520i
\(749\) −191.057 160.316i −0.255083 0.214040i
\(750\) −311.797 + 286.802i −0.415729 + 0.382402i
\(751\) −338.822 + 59.7435i −0.451161 + 0.0795519i −0.394612 0.918848i \(-0.629121\pi\)
−0.0565493 + 0.998400i \(0.518010\pi\)
\(752\) 76.2831 + 482.206i 0.101440 + 0.641231i
\(753\) 385.575 677.676i 0.512051 0.899968i
\(754\) −251.891 + 54.6788i −0.334073 + 0.0725183i
\(755\) 518.772i 0.687115i