Properties

Label 108.3.j.a.7.7
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 7.7
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.76993 + 0.931310i) q^{2} +(-0.0189322 - 2.99994i) q^{3} +(2.26532 - 3.29671i) q^{4} +(-1.07944 - 6.12179i) q^{5} +(2.82738 + 5.29206i) q^{6} +(-6.40210 + 7.62973i) q^{7} +(-0.939205 + 7.94468i) q^{8} +(-8.99928 + 0.113591i) q^{9} +O(q^{10})\) \(q+(-1.76993 + 0.931310i) q^{2} +(-0.0189322 - 2.99994i) q^{3} +(2.26532 - 3.29671i) q^{4} +(-1.07944 - 6.12179i) q^{5} +(2.82738 + 5.29206i) q^{6} +(-6.40210 + 7.62973i) q^{7} +(-0.939205 + 7.94468i) q^{8} +(-8.99928 + 0.113591i) q^{9} +(7.61182 + 9.82987i) q^{10} +(-12.4562 - 2.19637i) q^{11} +(-9.93283 - 6.73342i) q^{12} +(12.1504 + 4.42239i) q^{13} +(4.22565 - 19.4665i) q^{14} +(-18.3446 + 3.35415i) q^{15} +(-5.73663 - 14.9362i) q^{16} +(-9.19757 - 15.9307i) q^{17} +(15.8223 - 8.58217i) q^{18} +(-4.75708 - 2.74650i) q^{19} +(-22.6271 - 10.3092i) q^{20} +(23.0099 + 19.0615i) q^{21} +(24.0922 - 7.71319i) q^{22} +(-6.65021 - 7.92541i) q^{23} +(23.8513 + 2.66715i) 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} +(29.3449 - 23.0211i) q^{30} +(-20.5079 - 24.4404i) q^{31} +(24.0637 + 21.0935i) q^{32} +(-6.35316 + 37.4096i) q^{33} +(31.1155 + 19.6304i) q^{34} +(53.6183 + 30.9565i) q^{35} +(-20.0118 + 29.9254i) q^{36} +(-28.6614 - 49.6430i) q^{37} +(10.9776 + 0.430805i) q^{38} +(13.0369 - 36.5343i) q^{39} +(49.6495 - 2.82616i) q^{40} +(-8.81153 - 3.20713i) q^{41} +(-58.4782 - 12.3081i) q^{42} +(65.6751 + 11.5803i) q^{43} +(-35.4582 + 36.0892i) q^{44} +(10.4095 + 54.9691i) q^{45} +(19.1514 + 7.83404i) q^{46} +(19.6132 - 23.3740i) q^{47} +(-44.6992 + 17.4923i) q^{48} +(-8.71709 - 49.4371i) q^{49} +(18.3433 - 20.1962i) q^{50} +(-47.6169 + 27.8938i) q^{51} +(42.1040 - 30.0383i) q^{52} +59.3574 q^{53} +(-26.0456 - 47.3036i) q^{54} +78.6253i q^{55} +(-54.6029 - 58.0285i) q^{56} +(-8.14928 + 14.3230i) q^{57} +(-13.4026 + 14.7565i) q^{58} +(-102.326 + 18.0429i) q^{59} +(-30.4987 + 68.0750i) q^{60} +(-24.2267 - 20.3286i) q^{61} +(59.0592 + 24.1586i) q^{62} +(56.7477 - 69.3893i) q^{63} +(-62.2358 - 14.9234i) q^{64} +(13.9573 - 79.1560i) q^{65} +(-23.5952 - 72.1291i) q^{66} +(33.8532 - 93.0109i) q^{67} +(-73.3543 - 5.76633i) q^{68} +(-23.6499 + 20.1003i) q^{69} +(-123.731 - 4.85571i) q^{70} +(72.6010 - 41.9162i) q^{71} +(7.54973 - 71.6031i) q^{72} +(-45.9238 + 79.5424i) q^{73} +(96.9618 + 61.1721i) q^{74} +(14.2394 + 38.3674i) q^{75} +(-19.8308 + 9.46102i) q^{76} +(96.5038 - 80.9763i) q^{77} +(10.9503 + 76.8045i) 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} +(114.965 - 32.6768i) q^{84} +(-87.5960 + 73.5018i) q^{85} +(-127.025 + 40.6675i) q^{86} +(-10.4041 - 28.0334i) q^{87} +(29.1484 - 96.8979i) q^{88} +(-53.2910 + 92.3027i) q^{89} +(-69.6175 - 87.5971i) q^{90} +(-111.530 + 64.3918i) q^{91} +(-41.1927 + 3.97022i) q^{92} +(-72.9314 + 61.9852i) q^{93} +(-12.9455 + 59.6364i) q^{94} +(-11.6785 + 32.0865i) q^{95} +(62.8238 - 72.5891i) q^{96} +(0.0639800 - 0.362849i) q^{97} +(61.4699 + 79.3820i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.76993 + 0.931310i −0.884966 + 0.465655i
\(3\) −0.0189322 2.99994i −0.00631073 0.999980i
\(4\) 2.26532 3.29671i 0.566331 0.824178i
\(5\) −1.07944 6.12179i −0.215887 1.22436i −0.879360 0.476158i \(-0.842029\pi\)
0.663473 0.748201i \(-0.269082\pi\)
\(6\) 2.82738 + 5.29206i 0.471231 + 0.882010i
\(7\) −6.40210 + 7.62973i −0.914586 + 1.08996i 0.0810563 + 0.996710i \(0.474171\pi\)
−0.995643 + 0.0932519i \(0.970274\pi\)
\(8\) −0.939205 + 7.94468i −0.117401 + 0.993085i
\(9\) −8.99928 + 0.113591i −0.999920 + 0.0126212i
\(10\) 7.61182 + 9.82987i 0.761182 + 0.982987i
\(11\) −12.4562 2.19637i −1.13239 0.199670i −0.424113 0.905609i \(-0.639414\pi\)
−0.708272 + 0.705939i \(0.750525\pi\)
\(12\) −9.93283 6.73342i −0.827736 0.561118i
\(13\) 12.1504 + 4.42239i 0.934648 + 0.340184i 0.764050 0.645157i \(-0.223208\pi\)
0.170598 + 0.985341i \(0.445430\pi\)
\(14\) 4.22565 19.4665i 0.301832 1.39046i
\(15\) −18.3446 + 3.35415i −1.22297 + 0.223610i
\(16\) −5.73663 14.9362i −0.358539 0.933515i
\(17\) −9.19757 15.9307i −0.541034 0.937098i −0.998845 0.0480485i \(-0.984700\pi\)
0.457811 0.889049i \(-0.348634\pi\)
\(18\) 15.8223 8.58217i 0.879019 0.476787i
\(19\) −4.75708 2.74650i −0.250373 0.144553i 0.369562 0.929206i \(-0.379508\pi\)
−0.619935 + 0.784653i \(0.712841\pi\)
\(20\) −22.6271 10.3092i −1.13135 0.515462i
\(21\) 23.0099 + 19.0615i 1.09571 + 0.907690i
\(22\) 24.0922 7.71319i 1.09510 0.350600i
\(23\) −6.65021 7.92541i −0.289140 0.344583i 0.601848 0.798611i \(-0.294431\pi\)
−0.890988 + 0.454027i \(0.849987\pi\)
\(24\) 23.8513 + 2.66715i 0.993806 + 0.111131i
\(25\) −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 \(0.333915\pi\)
\(30\) 29.3449 23.0211i 0.978164 0.767370i
\(31\) −20.5079 24.4404i −0.661545 0.788399i 0.326061 0.945349i \(-0.394278\pi\)
−0.987607 + 0.156950i \(0.949834\pi\)
\(32\) 24.0637 + 21.0935i 0.751991 + 0.659173i
\(33\) −6.35316 + 37.4096i −0.192520 + 1.13362i
\(34\) 31.1155 + 19.6304i 0.915161 + 0.577365i
\(35\) 53.6183 + 30.9565i 1.53195 + 0.884472i
\(36\) −20.0118 + 29.9254i −0.555883 + 0.831260i
\(37\) −28.6614 49.6430i −0.774633 1.34170i −0.935001 0.354646i \(-0.884601\pi\)
0.160368 0.987057i \(-0.448732\pi\)
\(38\) 10.9776 + 0.430805i 0.288883 + 0.0113370i
\(39\) 13.0369 36.5343i 0.334279 0.936776i
\(40\) 49.6495 2.82616i 1.24124 0.0706540i
\(41\) −8.81153 3.20713i −0.214915 0.0782228i 0.232319 0.972640i \(-0.425369\pi\)
−0.447234 + 0.894417i \(0.647591\pi\)
\(42\) −58.4782 12.3081i −1.39234 0.293051i
\(43\) 65.6751 + 11.5803i 1.52733 + 0.269309i 0.873308 0.487169i \(-0.161970\pi\)
0.654020 + 0.756478i \(0.273081\pi\)
\(44\) −35.4582 + 36.0892i −0.805868 + 0.820208i
\(45\) 10.4095 + 54.9691i 0.231323 + 1.22154i
\(46\) 19.1514 + 7.83404i 0.416336 + 0.170305i
\(47\) 19.6132 23.3740i 0.417301 0.497320i −0.515913 0.856641i \(-0.672547\pi\)
0.933214 + 0.359321i \(0.116992\pi\)
\(48\) −44.6992 + 17.4923i −0.931233 + 0.364423i
\(49\) −8.71709 49.4371i −0.177900 1.00892i
\(50\) 18.3433 20.1962i 0.366866 0.403925i
\(51\) −47.6169 + 27.8938i −0.933665 + 0.546937i
\(52\) 42.1040 30.0383i 0.809692 0.577660i
\(53\) 59.3574 1.11995 0.559975 0.828509i \(-0.310811\pi\)
0.559975 + 0.828509i \(0.310811\pi\)
\(54\) −26.0456 47.3036i −0.482325 0.875992i
\(55\) 78.6253i 1.42955i
\(56\) −54.6029 58.0285i −0.975051 1.03622i
\(57\) −8.14928 + 14.3230i −0.142970 + 0.251280i
\(58\) −13.4026 + 14.7565i −0.231080 + 0.254422i
\(59\) −102.326 + 18.0429i −1.73434 + 0.305812i −0.949473 0.313849i \(-0.898382\pi\)
−0.784870 + 0.619660i \(0.787270\pi\)
\(60\) −30.4987 + 68.0750i −0.508312 + 1.13458i
\(61\) −24.2267 20.3286i −0.397159 0.333256i 0.422235 0.906486i \(-0.361246\pi\)
−0.819394 + 0.573230i \(0.805690\pi\)
\(62\) 59.0592 + 24.1586i 0.952567 + 0.389654i
\(63\) 56.7477 69.3893i 0.900757 1.10142i
\(64\) −62.2358 14.9234i −0.972434 0.233178i
\(65\) 13.9573 79.1560i 0.214728 1.21779i
\(66\) −23.5952 72.1291i −0.357504 1.09287i
\(67\) 33.8532 93.0109i 0.505272 1.38822i −0.380792 0.924661i \(-0.624349\pi\)
0.886064 0.463562i \(-0.153429\pi\)
\(68\) −73.3543 5.76633i −1.07874 0.0847990i
\(69\) −23.6499 + 20.1003i −0.342752 + 0.291308i
\(70\) −123.731 4.85571i −1.76758 0.0693673i
\(71\) 72.6010 41.9162i 1.02255 0.590369i 0.107708 0.994183i \(-0.465649\pi\)
0.914841 + 0.403813i \(0.132316\pi\)
\(72\) 7.54973 71.6031i 0.104857 0.994487i
\(73\) −45.9238 + 79.5424i −0.629094 + 1.08962i 0.358640 + 0.933476i \(0.383240\pi\)
−0.987734 + 0.156146i \(0.950093\pi\)
\(74\) 96.9618 + 61.1721i 1.31029 + 0.826650i
\(75\) 14.2394 + 38.3674i 0.189859 + 0.511565i
\(76\) −19.8308 + 9.46102i −0.260931 + 0.124487i
\(77\) 96.5038 80.9763i 1.25330 1.05164i
\(78\) 10.9503 + 76.8045i 0.140389 + 0.984674i
\(79\) −25.9142 71.1988i −0.328028 0.901251i −0.988611 0.150497i \(-0.951913\pi\)
0.660582 0.750754i \(1.72969\pi\)
\(80\) −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 0.982275 0.187445i \(-0.0600205\pi\)
−0.872954 + 0.487803i \(0.837798\pi\)
\(84\) 114.965 32.6768i 1.36863 0.389009i
\(85\) −87.5960 + 73.5018i −1.03054 + 0.864727i
\(86\) −127.025 + 40.6675i −1.47704 + 0.472878i
\(87\) −10.4041 28.0334i −0.119588 0.322223i
\(88\) 29.1484 96.8979i 0.331232 1.10111i
\(89\) −53.2910 + 92.3027i −0.598775 + 1.03711i 0.394227 + 0.919013i \(0.371012\pi\)
−0.993002 + 0.118096i \(0.962321\pi\)
\(90\) −69.6175 87.5971i −0.773528 0.973301i
\(91\) −111.530 + 64.3918i −1.22560 + 0.707602i
\(92\) −41.1927 + 3.97022i −0.447746 + 0.0431546i
\(93\) −72.9314 + 61.9852i −0.784208 + 0.666507i
\(94\) −12.9455 + 59.6364i −0.137718 + 0.634430i
\(95\) −11.6785 + 32.0865i −0.122932 + 0.337753i
\(96\) 62.8238 72.5891i 0.654414 0.756136i
\(97\) 0.0639800 0.362849i 0.000659588 0.00374071i −0.984476 0.175518i \(-0.943840\pi\)
0.985136 + 0.171778i \(0.0549510\pi\)
\(98\) 61.4699 + 79.3820i 0.627244 + 0.810020i
\(99\) 112.347 + 18.3508i 1.13482 + 0.185362i
\(100\) −13.6574 + 52.8293i −0.136574 + 0.528293i
\(101\) 97.1655 + 81.5315i 0.962035 + 0.807243i 0.981283 0.192572i \(-0.0616828\pi\)
−0.0192482 + 0.999815i \(0.506127\pi\)
\(102\) 58.3010 93.7162i 0.571578 0.918786i
\(103\) 151.910 26.7859i 1.47486 0.260057i 0.622337 0.782749i \(-0.286183\pi\)
0.852522 + 0.522692i \(0.175072\pi\)
\(104\) −46.5462 + 92.3776i −0.447560 + 0.888246i
\(105\) 91.8526 161.438i 0.874787 1.53750i
\(106\) −105.059 + 55.2801i −0.991118 + 0.521511i
\(107\) 25.0412i 0.234030i 0.993130 + 0.117015i \(0.0373325\pi\)
−0.993130 + 0.117015i \(0.962668\pi\)
\(108\) 90.1532 + 59.4677i 0.834752 + 0.550626i
\(109\) −1.63154 −0.0149683 −0.00748413 0.999972i \(-0.502382\pi\)
−0.00748413 + 0.999972i \(0.502382\pi\)
\(110\) −73.2246 139.162i −0.665678 1.26510i
\(111\) −148.383 + 86.9224i −1.33679 + 0.783084i
\(112\) 150.686 + 51.8544i 1.34541 + 0.462986i
\(113\) 5.85826 + 33.2239i 0.0518430 + 0.294017i 0.999695 0.0246943i \(-0.00786124\pi\)
−0.947852 + 0.318711i \(0.896750\pi\)
\(114\) 1.08456 32.9402i 0.00951368 0.288949i
\(115\) −41.3392 + 49.2662i −0.359472 + 0.428402i
\(116\) 9.97886 38.6000i 0.0860246 0.332759i
\(117\) −109.847 38.4182i −0.938867 0.328360i
\(118\) 164.307 127.232i 1.39243 1.07824i
\(119\) 180.430 + 31.8148i 1.51622 + 0.267351i
\(120\) −9.41829 148.892i −0.0784857 1.24077i
\(121\) 36.6310 + 13.3326i 0.302736 + 0.110187i
\(122\) 61.8118 + 13.4177i 0.506654 + 0.109981i
\(123\) −9.45439 + 26.4948i −0.0768650 + 0.215405i
\(124\) −127.030 + 12.2434i −1.02443 + 0.0987367i
\(125\) −35.3035 61.1474i −0.282428 0.489179i
\(126\) −35.8166 + 175.664i −0.284258 + 1.39416i
\(127\) −45.8752 26.4860i −0.361222 0.208551i 0.308395 0.951258i \(-0.400208\pi\)
−0.669617 + 0.742707i \(0.733542\pi\)
\(128\) 124.051 31.5475i 0.969152 0.246465i
\(129\) 33.4968 197.241i 0.259665 1.52900i
\(130\) 49.0153 + 153.099i 0.377041 + 1.17769i
\(131\) −94.5874 112.725i −0.722041 0.860495i 0.272786 0.962075i \(-0.412055\pi\)
−0.994827 + 0.101580i \(0.967610\pi\)
\(132\) 108.937 + 105.689i 0.825277 + 0.800676i
\(133\) 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 \(0.612106\pi\)
\(138\) 23.1391 57.6015i 0.167674 0.417402i
\(139\) −48.8886 58.2632i −0.351717 0.419160i 0.560959 0.827843i \(-0.310432\pi\)
−0.912676 + 0.408684i \(0.865988\pi\)
\(140\) 223.517 106.638i 1.59655 0.761697i
\(141\) −70.4921 58.3958i −0.499944 0.414154i
\(142\) −89.4619 + 141.803i −0.630013 + 0.998612i
\(143\) −141.635 81.7732i −0.990457 0.571840i
\(144\) 53.3222 + 133.764i 0.370293 + 0.928915i
\(145\) −30.9794 53.6578i −0.213651 0.370054i
\(146\) 7.20342 183.554i 0.0493385 1.25722i
\(147\) −148.143 + 27.0867i −1.00778 + 0.184263i
\(148\) −228.586 17.9690i −1.54450 0.121412i
\(149\) −28.2118 10.2682i −0.189341 0.0689144i 0.245610 0.969369i \(-0.421012\pi\)
−0.434950 + 0.900454i \(0.643234\pi\)
\(150\) −60.9348 54.6464i −0.406232 0.364309i
\(151\) −82.1866 14.4917i −0.544282 0.0959716i −0.105255 0.994445i \(-0.533566\pi\)
−0.439027 + 0.898474i \(0.644677\pi\)
\(152\) 26.2879 35.2139i 0.172947 0.231671i
\(153\) 84.5811 + 142.320i 0.552818 + 0.930195i
\(154\) −95.3912 + 233.198i −0.619423 + 1.51427i
\(155\) −127.482 + 151.927i −0.822463 + 0.980174i
\(156\) −90.9102 125.741i −0.582758 0.806030i
\(157\) 10.1447 + 57.5333i 0.0646158 + 0.366454i 0.999920 + 0.0126109i \(0.00401429\pi\)
−0.935305 + 0.353843i \(0.884875\pi\)
\(158\) 112.175 + 101.883i 0.709966 + 0.644828i
\(159\) −1.12376 178.069i −0.00706770 1.11993i
\(160\) 103.155 170.082i 0.644719 1.06301i
\(161\) 103.044 0.640025
\(162\) −141.415 + 79.0307i −0.872931 + 0.487844i
\(163\) 208.348i 1.27821i 0.769121 + 0.639104i \(0.220694\pi\)
−0.769121 + 0.639104i \(0.779306\pi\)
\(164\) −30.5340 + 21.7839i −0.186183 + 0.132829i
\(165\) 235.871 1.48855i 1.42952 0.00902151i
\(166\) −39.2772 35.6736i −0.236609 0.214901i
\(167\) −174.030 + 30.6862i −1.04210 + 0.183750i −0.668401 0.743801i \(-0.733021\pi\)
−0.373697 + 0.927551i \(0.621910\pi\)
\(168\) −173.048 + 164.904i −1.03005 + 0.981571i
\(169\) −1.38636 1.16330i −0.00820334 0.00688342i
\(170\) 86.5861 211.672i 0.509330 1.24513i
\(171\) 43.1223 + 24.1762i 0.252177 + 0.141381i
\(172\) 186.952 190.279i 1.08693 1.10627i
\(173\) −5.36518 + 30.4274i −0.0310126 + 0.175881i −0.996380 0.0850139i \(-0.972907\pi\)
0.965367 + 0.260895i \(0.0840176\pi\)
\(174\) 44.5223 + 39.9277i 0.255876 + 0.229469i
\(175\) 46.4697 127.674i 0.265541 0.729568i
\(176\) 38.6513 + 198.649i 0.219610 + 1.12869i
\(177\) 56.0648 + 306.631i 0.316750 + 1.73238i
\(178\) 8.35900 213.000i 0.0469607 1.19663i
\(179\) 131.775 76.0806i 0.736176 0.425031i −0.0845014 0.996423i \(-0.526930\pi\)
0.820677 + 0.571392i \(0.193596\pi\)
\(180\) 204.798 + 90.2055i 1.13777 + 0.501142i
\(181\) 34.3250 59.4527i 0.189641 0.328468i −0.755489 0.655161i \(-0.772601\pi\)
0.945131 + 0.326693i \(0.105934\pi\)
\(182\) 137.432 217.838i 0.755119 1.19691i
\(183\) −60.5259 + 73.0635i −0.330743 + 0.399254i
\(184\) 69.2107 45.3902i 0.376145 0.246686i
\(185\) −272.966 + 229.046i −1.47549 + 1.23808i
\(186\) 71.3562 177.631i 0.383635 0.955007i
\(187\) 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 \(0.00925697\pi\)
−0.747030 + 0.664790i \(0.768521\pi\)
\(192\) −43.5909 + 186.986i −0.227036 + 0.973886i
\(193\) 161.554 135.560i 0.837068 0.702383i −0.119834 0.992794i \(-0.538236\pi\)
0.956902 + 0.290411i \(0.0937919\pi\)
\(194\) 0.224685 + 0.701803i 0.00115817 + 0.00361754i
\(195\) −237.728 40.3726i −1.21912 0.207039i
\(196\) −182.727 83.2531i −0.932280 0.424761i
\(197\) 29.2008 50.5773i 0.148227 0.256738i −0.782345 0.622845i \(-0.785977\pi\)
0.930572 + 0.366108i \(0.119310\pi\)
\(198\) −215.936 + 72.1499i −1.09059 + 0.364393i
\(199\) 43.4780 25.1020i 0.218482 0.126141i −0.386765 0.922178i \(-0.626408\pi\)
0.605247 + 0.796037i \(0.293074\pi\)
\(200\) −25.0278 106.224i −0.125139 0.531118i
\(201\) −279.668 99.7967i −1.39138 0.496501i
\(202\) −247.908 53.8141i −1.22727 0.266406i
\(203\) −33.9533 + 93.2860i −0.167258 + 0.459537i
\(204\) −15.9099 + 220.168i −0.0779897 + 1.07925i
\(205\) −10.1219 + 57.4042i −0.0493752 + 0.280021i
\(206\) −243.925 + 188.885i −1.18410 + 0.916917i
\(207\) 60.7474 + 70.5676i 0.293466 + 0.340906i
\(208\) −3.64859 206.851i −0.0175413 0.994477i
\(209\) 53.2230 + 44.6594i 0.254655 + 0.213681i
\(210\) −12.2243 + 371.277i −0.0582112 + 1.76799i
\(211\) −199.644 + 35.2027i −0.946182 + 0.166837i −0.625390 0.780312i \(-0.715060\pi\)
−0.320792 + 0.947150i \(0.603949\pi\)
\(212\) 134.464 195.684i 0.634262 0.923039i
\(213\) −127.121 217.005i −0.596810 1.01880i
\(214\) −23.3211 44.3212i −0.108977 0.207108i
\(215\) 414.549i 1.92814i
\(216\) −214.948 21.2931i −0.995129 0.0985793i
\(217\) 317.767 1.46436
\(218\) 2.88772 1.51947i 0.0132464 0.00697005i
\(219\) 239.492 + 136.263i 1.09357 + 0.622205i
\(220\) 259.205 + 178.112i 1.17821 + 0.809599i
\(221\) −41.3027 234.240i −0.186890 1.05991i
\(222\) 181.677 292.038i 0.818365 1.31549i
\(223\) 149.754 178.470i 0.671542 0.800312i −0.317451 0.948275i \(-0.602827\pi\)
0.988993 + 0.147962i \(0.0472715\pi\)
\(224\) −314.996 + 48.5566i −1.40623 + 0.216771i
\(225\) 114.830 43.4438i 0.510357 0.193084i
\(226\) −41.3105 53.3481i −0.182790 0.236054i
\(227\) 223.326 + 39.3784i 0.983815 + 0.173473i 0.642342 0.766418i \(-0.277963\pi\)
0.341473 + 0.939891i \(0.389074\pi\)
\(228\) 28.7579 + 59.3119i 0.126131 + 0.260140i
\(229\) 415.429 + 151.204i 1.81410 + 0.660278i 0.996414 + 0.0846107i \(0.0269647\pi\)
0.817684 + 0.575667i \(0.195258\pi\)
\(230\) 27.2856 125.697i 0.118633 0.546511i
\(231\) −244.751 287.973i −1.05953 1.24664i
\(232\) 18.2867 + 77.6128i 0.0788219 + 0.334538i
\(233\) 18.2450 + 31.6013i 0.0783048 + 0.135628i 0.902519 0.430651i \(-0.141716\pi\)
−0.824214 + 0.566279i \(0.808383\pi\)
\(234\) 230.202 34.3044i 0.983768 0.146600i
\(235\) −164.262 94.8368i −0.698988 0.403561i
\(236\) −172.320 + 378.213i −0.730168 + 1.60260i
\(237\) −213.102 + 79.0891i −0.899163 + 0.333709i
\(238\) −348.979 + 111.727i −1.46630 + 0.469440i
\(239\) −22.1853 26.4394i −0.0928255 0.110625i 0.717632 0.696422i \(-0.245226\pi\)
−0.810458 + 0.585797i \(0.800781\pi\)
\(240\) 155.334 + 254.757i 0.647226 + 1.06149i
\(241\) −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
\(246\) −7.94123 55.6989i −0.0322814 0.226418i
\(247\) −45.6544 54.4088i −0.184836 0.220279i
\(248\) 213.432 139.974i 0.860613 0.564412i
\(249\) 74.6160 27.6925i 0.299663 0.111215i
\(250\) 119.432 + 75.3483i 0.477728 + 0.301393i
\(251\) 225.076 + 129.948i 0.896718 + 0.517721i 0.876134 0.482067i \(-0.160114\pi\)
0.0205844 + 0.999788i \(0.493447\pi\)
\(252\) −100.205 344.270i −0.397638 1.36615i
\(253\) 65.4295 + 113.327i 0.258614 + 0.447933i
\(254\) 105.863 + 4.15449i 0.416782 + 0.0163562i
\(255\) 222.159 + 261.391i 0.871213 + 1.02506i
\(256\) −190.182 + 171.367i −0.742899 + 0.669403i
\(257\) −10.9630 3.99020i −0.0426575 0.0155261i 0.320603 0.947214i \(-0.396114\pi\)
−0.363261 + 0.931688i \(0.618337\pi\)
\(258\) 124.405 + 380.298i 0.482190 + 1.47402i
\(259\) 562.256 + 99.1409i 2.17087 + 0.382783i
\(260\) −229.337 225.327i −0.882065 0.866643i
\(261\) −83.9014 + 31.7425i −0.321461 + 0.121619i
\(262\) 272.395 + 111.425i 1.03968 + 0.425287i
\(263\) −4.63305 + 5.52146i −0.0176162 + 0.0209941i −0.774781 0.632230i \(-0.782140\pi\)
0.757164 + 0.653224i \(0.226584\pi\)
\(264\) −291.240 85.6090i −1.10318 0.324277i
\(265\) −64.0725 363.373i −0.241783 1.37122i
\(266\) −73.5664 + 80.9977i −0.276565 + 0.304503i
\(267\) 277.912 + 158.122i 1.04087 + 0.592219i
\(268\) −229.942 322.304i −0.857992 1.20263i
\(269\) −366.099 −1.36096 −0.680481 0.732765i \(-0.738229\pi\)
−0.680481 + 0.732765i \(0.738229\pi\)
\(270\) −261.468 + 210.507i −0.968401 + 0.779655i
\(271\) 328.444i 1.21197i −0.795476 0.605985i \(-0.792779\pi\)
0.795476 0.605985i \(-0.207221\pi\)
\(272\) −185.181 + 228.765i −0.680813 + 0.841049i
\(273\) 195.283 + 333.364i 0.715323 + 1.22111i
\(274\) 237.708 261.720i 0.867548 0.955184i
\(275\) 169.922 29.9618i 0.617898 0.108952i
\(276\) 12.6903 + 123.500i 0.0459793 + 0.447465i
\(277\) 369.729 + 310.240i 1.33476 + 1.12000i 0.982939 + 0.183933i \(0.0588829\pi\)
0.351824 + 0.936066i \(0.385562\pi\)
\(278\) 140.791 + 57.5915i 0.506442 + 0.207164i
\(279\) 187.333 + 217.616i 0.671443 + 0.779987i
\(280\) −296.298 + 396.905i −1.05821 + 1.41752i
\(281\) 52.8247 299.584i 0.187988 1.06613i −0.734068 0.679077i \(-0.762380\pi\)
0.922056 0.387057i \(-0.126508\pi\)
\(282\) 179.151 + 37.7066i 0.635286 + 0.133711i
\(283\) −61.7047 + 169.532i −0.218038 + 0.599054i −0.999696 0.0246531i \(-0.992152\pi\)
0.781658 + 0.623707i \(0.214374\pi\)
\(284\) 26.2790 334.298i 0.0925316 1.17711i
\(285\) 96.4788 + 34.4275i 0.338522 + 0.120798i
\(286\) 326.841 + 12.8266i 1.14280 + 0.0448482i
\(287\) 80.8819 46.6972i 0.281818 0.162708i
\(288\) −218.952 187.093i −0.760251 0.649630i
\(289\) −24.6907 + 42.7656i −0.0854350 + 0.147978i
\(290\) 104.803 + 66.1193i 0.361391 + 0.227998i
\(291\) −1.08974 0.185067i −0.00374480 0.000635968i
\(292\) 158.196 + 331.587i 0.541768 + 1.13557i
\(293\) 68.9601 57.8644i 0.235359 0.197489i −0.517478 0.855696i \(-0.673129\pi\)
0.752837 + 0.658207i \(0.228685\pi\)
\(294\) 236.977 185.909i 0.806045 0.632343i
\(295\) 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
\(300\) 158.743 + 39.9712i 0.529144 + 0.133237i
\(301\) −508.813 + 426.945i −1.69041 + 1.41842i
\(302\) 158.961 50.8919i 0.526361 0.168516i
\(303\) 242.750 293.034i 0.801156 0.967110i
\(304\) −13.7328 + 86.8085i −0.0451736 + 0.285554i
\(305\) −98.2963 + 170.254i −0.322283 + 0.558211i
\(306\) −282.247 173.125i −0.922375 0.565768i
\(307\) −240.418 + 138.805i −0.783121 + 0.452135i −0.837535 0.546383i \(-0.816004\pi\)
0.0544142 + 0.998518i \(0.482671\pi\)
\(308\) −48.3434 501.583i −0.156959 1.62852i
\(309\) −83.2321 455.215i −0.269360 1.47319i
\(310\) 84.1431 387.626i 0.271429 1.25041i
\(311\) −8.27881 + 22.7459i −0.0266200 + 0.0731378i −0.952291 0.305192i \(-0.901279\pi\)
0.925671 + 0.378330i \(0.123502\pi\)
\(312\) 278.009 + 137.887i 0.891053 + 0.441945i
\(313\) 27.9677 158.613i 0.0893538 0.506751i −0.906978 0.421178i \(-0.861617\pi\)
0.996332 0.0855728i \(-0.0272720\pi\)
\(314\) −71.5368 92.3823i −0.227824 0.294211i
\(315\) −486.043 272.496i −1.54299 0.865067i
\(316\) −293.426 75.8564i −0.928564 0.240052i
\(317\) 163.182 + 136.926i 0.514771 + 0.431944i 0.862804 0.505538i \(-0.168706\pi\)
−0.348034 + 0.937482i \(0.613150\pi\)
\(318\) 167.826 + 314.123i 0.527755 + 0.987807i
\(319\) −124.154 + 21.8918i −0.389199 + 0.0686263i
\(320\) −24.1781 + 397.103i −0.0755566 + 1.24095i
\(321\) 75.1220 0.474084i 0.234025 0.00147690i
\(322\) −182.381 + 95.9660i −0.566401 + 0.298031i
\(323\) 101.045i 0.312832i
\(324\) 176.693 271.580i 0.545348 0.838210i
\(325\) −176.388 −0.542731
\(326\) −194.036 368.761i −0.595204 1.13117i
\(327\) 0.0308886 + 4.89453i 9.44607e−5 + 0.0149680i
\(328\) 33.7555 66.9926i 0.102913 0.204246i
\(329\) 52.7722 + 299.286i 0.160402 + 0.909684i
\(330\) −416.090 + 222.304i −1.26088 + 0.673649i
\(331\) 177.153 211.123i 0.535205 0.637833i −0.428900 0.903352i \(-0.641099\pi\)
0.964106 + 0.265519i \(0.0855433\pi\)
\(332\) 102.741 + 26.5606i 0.309461 + 0.0800018i
\(333\) 263.571 + 443.496i 0.791505 + 1.33182i
\(334\) 279.444 216.389i 0.836657 0.647871i
\(335\) −605.936 106.843i −1.80876 0.318934i
\(336\) 152.707 453.031i 0.454486 1.34831i
\(337\) −59.6851 21.7236i −0.177107 0.0644617i 0.251944 0.967742i \(-0.418930\pi\)
−0.429052 + 0.903280i \(0.641152\pi\)
\(338\) 3.53716 + 0.767823i 0.0104650 + 0.00227167i
\(339\) 99.5587 18.2034i 0.293683 0.0536975i
\(340\) 43.8811 + 455.284i 0.129062 + 1.33907i
\(341\) 201.771 + 349.478i 0.591704 + 1.02486i
\(342\) −98.8391 2.62998i −0.289003 0.00769001i
\(343\) 10.3481 + 5.97449i 0.0301695 + 0.0174184i
\(344\) −153.684 + 510.891i −0.446756 + 1.48515i
\(345\) 148.578 + 123.083i 0.430662 + 0.356761i
\(346\) −18.8414 58.8511i −0.0544548 0.170090i
\(347\) −95.6242 113.961i −0.275574 0.328417i 0.610451 0.792054i \(-0.290988\pi\)
−0.886025 + 0.463638i \(0.846544\pi\)
\(348\) −115.987 29.2052i −0.333295 0.0839230i
\(349\) −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 \(0.544779\pi\)
\(354\) −384.800 490.503i −1.08700 1.38560i
\(355\) −334.970 399.202i −0.943579 1.12451i
\(356\) 183.574 + 384.781i 0.515658 + 1.08084i
\(357\) 92.0264 541.883i 0.257777 1.51788i
\(358\) −162.379 + 257.381i −0.453573 + 0.718942i
\(359\) −79.0415 45.6346i −0.220171 0.127116i 0.385858 0.922558i \(-0.373905\pi\)
−0.606030 + 0.795442i \(0.707239\pi\)
\(360\) −446.489 + 31.0732i −1.24025 + 0.0863143i
\(361\) −165.413 286.505i −0.458209 0.793641i
\(362\) −5.38408 + 137.195i −0.0148732 + 0.378991i
\(363\) 39.3035 110.143i 0.108274 0.303425i
\(364\) −40.3698 + 513.550i −0.110906 + 1.41085i
\(365\) 536.514 + 195.275i 1.46990 + 0.535000i
\(366\) 39.0821 185.686i 0.106782 0.507338i
\(367\) −463.179 81.6710i −1.26207 0.222537i −0.497719 0.867339i \(-0.665829\pi\)
−0.764350 + 0.644802i \(0.776940\pi\)
\(368\) −80.2260 + 144.794i −0.218005 + 0.393463i
\(369\) 79.6618 + 27.8610i 0.215886 + 0.0755041i
\(370\) 269.819 659.611i 0.729240 1.78273i
\(371\) −380.012 + 452.881i −1.02429 + 1.22070i
\(372\) 39.1343 + 380.850i 0.105200 + 1.02379i
\(373\) −103.073 584.554i −0.276334 1.56717i −0.734692 0.678401i \(-0.762673\pi\)
0.458357 0.888768i \(-0.348438\pi\)
\(374\) −344.466 312.862i −0.921032 0.836530i
\(375\) −182.770 + 107.066i −0.487387 + 0.285509i
\(376\) 167.278 + 177.773i 0.444890 + 0.472801i
\(377\) 128.879 0.341853
\(378\) 527.660 + 104.122i 1.39593 + 0.275455i
\(379\) 189.006i 0.498698i −0.968414 0.249349i \(-0.919783\pi\)
0.968414 0.249349i \(-0.0802166\pi\)
\(380\) 79.3244 + 111.187i 0.208748 + 0.292598i
\(381\) −78.5880 + 138.124i −0.206268 + 0.362531i
\(382\) −208.801 189.644i −0.546599 0.496450i
\(383\) 235.927 41.6003i 0.615998 0.108617i 0.143062 0.989714i \(-0.454305\pi\)
0.472936 + 0.881097i \(0.343194\pi\)
\(384\) −96.9891 371.550i −0.252576 0.967577i
\(385\) −599.890 503.368i −1.55816 1.30745i
\(386\) −159.691 + 390.389i −0.413708 + 1.01137i
\(387\) −592.344 96.7542i −1.53060 0.250011i
\(388\) −1.05127 1.03289i −0.00270947 0.00266210i
\(389\) 120.441 683.055i 0.309617 1.75593i −0.291316 0.956627i \(-0.594093\pi\)
0.600933 0.799300i \(-0.294796\pi\)
\(390\) 458.361 149.941i 1.17529 0.384465i
\(391\) −65.0913 + 178.837i −0.166474 + 0.457383i
\(392\) 400.949 22.8229i 1.02283 0.0582217i
\(393\) −336.377 + 285.891i −0.855921 + 0.727457i
\(394\) −4.58032 + 116.713i −0.0116252 + 0.296227i
\(395\) −407.891 + 235.496i −1.03264 + 0.596193i
\(396\) 314.999 328.804i 0.795452 0.830314i
\(397\) −15.0758 + 26.1121i −0.0379744 + 0.0657736i −0.884388 0.466753i \(-0.845424\pi\)
0.846414 + 0.532526i \(0.178757\pi\)
\(398\) −53.5753 + 84.9204i −0.134611 + 0.213368i
\(399\) −57.1078 153.874i −0.143127 0.385649i
\(400\) 143.225 + 164.700i 0.358061 + 0.411750i
\(401\) 386.613 324.407i 0.964122 0.808994i −0.0174971 0.999847i \(-0.505570\pi\)
0.981619 + 0.190853i \(0.0611253\pi\)
\(402\) 587.936 83.8244i 1.46253 0.208518i
\(403\) −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
\(408\) −176.885 404.499i −0.433542 0.991419i
\(409\) −420.765 + 353.064i −1.02877 + 0.863238i −0.990704 0.136038i \(-0.956563\pi\)
−0.0380628 + 0.999275i \(0.512119\pi\)
\(410\) −35.5461 111.028i −0.0866977 0.270801i
\(411\) 184.527 + 497.198i 0.448971 + 1.20973i
\(412\) 255.821 561.484i 0.620924 1.36282i
\(413\) 517.441 896.234i 1.25288 2.17006i
\(414\) −173.239 68.3253i −0.418452 0.165037i
\(415\) 142.820 82.4574i 0.344145 0.198692i
\(416\) 199.100 + 362.715i 0.478607 + 0.871910i
\(417\) −173.861 + 147.766i −0.416932 + 0.354355i
\(418\) −135.793 29.4770i −0.324863 0.0705191i
\(419\) 270.119 742.145i 0.644675 1.77123i 0.00815915 0.999967i \(-0.497403\pi\)
0.636516 0.771264i \(-0.280375\pi\)
\(420\) −324.138 668.520i −0.771757 1.59171i
\(421\) −89.7696 + 509.109i −0.213229 + 1.20928i 0.670723 + 0.741708i \(0.265984\pi\)
−0.883953 + 0.467576i \(0.845127\pi\)
\(422\) 320.572 248.237i 0.759650 0.588240i
\(423\) −173.849 + 212.578i −0.410991 + 0.502547i
\(424\) −55.7487 + 471.575i −0.131483 + 1.11221i
\(425\) 192.229 + 161.300i 0.452305 + 0.379529i
\(426\) 427.094 + 265.696i 1.00257 + 0.623699i
\(427\) 310.204 54.6973i 0.726472 0.128097i
\(428\) 82.5535 + 56.7263i 0.192882 + 0.132538i
\(429\) −242.633 + 426.446i −0.565579 + 0.994046i
\(430\) 386.074 + 733.724i 0.897847 + 1.70634i
\(431\) 0.0973931i 0.000225970i 1.00000 0.000112985i \(3.59642e-5\pi\)
−1.00000 0.000112985i \(0.999964\pi\)
\(432\) 400.274 162.496i 0.926560 0.376148i
\(433\) −614.925 −1.42015 −0.710075 0.704126i \(-0.751339\pi\)
−0.710075 + 0.704126i \(0.751339\pi\)
\(434\) −562.426 + 295.940i −1.29591 + 0.681889i
\(435\) −160.384 + 93.9521i −0.368698 + 0.215982i
\(436\) −3.69597 + 5.37872i −0.00847699 + 0.0123365i
\(437\) 9.86843 + 55.9666i 0.0225822 + 0.128070i
\(438\) −550.788 18.1347i −1.25751 0.0414035i
\(439\) −180.311 + 214.887i −0.410732 + 0.489492i −0.931261 0.364352i \(-0.881290\pi\)
0.520529 + 0.853844i \(0.325735\pi\)
\(440\) −624.653 73.8453i −1.41967 0.167830i
\(441\) 84.0631 + 443.908i 0.190619 + 1.00659i
\(442\) 291.253 + 376.122i 0.658943 + 0.850956i
\(443\) 454.262 + 80.0986i 1.02542 + 0.180809i 0.660969 0.750413i \(-0.270145\pi\)
0.364452 + 0.931222i \(0.381256\pi\)
\(444\) −49.5783 + 686.085i −0.111663 + 1.54524i
\(445\) 622.582 + 226.601i 1.39906 + 0.509217i
\(446\) −98.8435 + 455.346i −0.221622 + 1.02096i
\(447\) −30.2700 + 84.8280i −0.0677181 + 0.189772i
\(448\) 512.301 379.301i 1.14353 0.846655i
\(449\) 62.6003 + 108.427i 0.139422 + 0.241485i 0.927278 0.374374i \(-0.122142\pi\)
−0.787856 + 0.615859i \(0.788809\pi\)
\(450\) −162.782 + 183.835i −0.361738 + 0.408523i
\(451\) 102.714 + 59.3022i 0.227748 + 0.131491i
\(452\) 122.800 + 55.9497i 0.271682 + 0.123783i
\(453\) −41.9183 + 246.829i −0.0925349 + 0.544877i
\(454\) −431.945 + 138.289i −0.951422 + 0.304601i
\(455\) 514.583 + 613.256i 1.13095 + 1.34782i
\(456\) −106.137 78.1956i −0.232757 0.171482i
\(457\) −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 \(0.122123\pi\)
\(462\) 701.385 + 281.753i 1.51815 + 0.609855i
\(463\) 323.986 + 386.112i 0.699755 + 0.833935i 0.992499 0.122256i \(-0.0390128\pi\)
−0.292744 + 0.956191i \(0.594568\pi\)
\(464\) −104.648 120.339i −0.225534 0.259351i
\(465\) 458.185 + 379.562i 0.985345 + 0.816261i
\(466\) −61.7231 38.9404i −0.132453 0.0835631i
\(467\) −527.100 304.321i −1.12869 0.651651i −0.185087 0.982722i \(-0.559257\pi\)
−0.943606 + 0.331071i \(0.892590\pi\)
\(468\) −375.493 + 275.106i −0.802336 + 0.587833i
\(469\) 492.917 + 853.757i 1.05099 + 1.82038i
\(470\) 379.056 + 14.8757i 0.806501 + 0.0316504i
\(471\) 172.404 31.5227i 0.366039 0.0669271i
\(472\) −47.2395 829.895i −0.100084 1.75825i
\(473\) −792.630 288.494i −1.67575 0.609923i
\(474\) 303.519 338.446i 0.640335 0.714021i
\(475\) 73.7945 + 13.0120i 0.155357 + 0.0273936i
\(476\) 513.617 522.757i 1.07903 1.09823i
\(477\) −534.174 + 6.74245i −1.11986 + 0.0141351i
\(478\) 63.8897 + 26.1346i 0.133661 + 0.0546748i
\(479\) 409.768 488.343i 0.855466 1.01951i −0.144085 0.989565i \(-0.546024\pi\)
0.999552 0.0299399i \(-0.00953160\pi\)
\(480\) −512.189 306.239i −1.06706 0.637998i
\(481\) −128.707 729.935i −0.267583 1.51754i
\(482\) 81.1981 89.4004i 0.168461 0.185478i
\(483\) −1.95085 309.126i −0.00403903 0.640013i
\(484\) 126.935 90.5593i 0.262262 0.187106i
\(485\) −2.29035 −0.00472237
\(486\) 239.765 + 422.740i 0.493343 + 0.869835i
\(487\) 445.312i 0.914398i 0.889364 + 0.457199i \(0.151147\pi\)
−0.889364 + 0.457199i \(0.848853\pi\)
\(488\) 184.258 173.380i 0.377578 0.355288i
\(489\) 625.031 3.94448i 1.27818 0.00806642i
\(490\) 419.607 461.994i 0.856341 0.942844i
\(491\) 101.783 17.9471i 0.207298 0.0365522i −0.0690348 0.997614i \(-0.521992\pi\)
0.276333 + 0.961062i \(0.410881\pi\)
\(492\) 65.9284 + 91.1876i 0.134001 + 0.185341i
\(493\) −140.454 117.855i −0.284896 0.239056i
\(494\) 131.477 + 53.7815i 0.266147 + 0.108869i
\(495\) −8.93112 707.572i −0.0180427 1.42944i
\(496\) −247.401 + 446.516i −0.498792 + 0.900234i
\(497\) −144.990 + 822.278i −0.291730 + 1.65448i
\(498\) −106.275 + 118.505i −0.213404 + 0.237961i
\(499\) −41.0219 + 112.707i −0.0822082 + 0.225865i −0.973986 0.226609i \(-0.927236\pi\)
0.891778 + 0.452474i \(0.149458\pi\)
\(500\) −281.559 22.1332i −0.563118 0.0442663i
\(501\) 95.3517 + 521.500i 0.190323 + 1.04092i
\(502\) −519.392 20.3831i −1.03464 0.0406037i
\(503\) −169.804 + 98.0363i −0.337582 + 0.194903i −0.659202 0.751966i \(-0.729106\pi\)
0.321620 + 0.946869i \(0.395773\pi\)
\(504\) 497.978 + 516.013i 0.988052 + 1.02383i
\(505\) 394.235 682.835i 0.780664 1.35215i
\(506\) −221.348 139.646i −0.437448 0.275981i
\(507\) −3.46358 + 4.18103i −0.00683151 + 0.00824661i
\(508\) −191.239 + 91.2378i −0.376454 + 0.179602i
\(509\) −97.5661 + 81.8677i −0.191682 + 0.160840i −0.733578 0.679605i \(-0.762151\pi\)
0.541896 + 0.840446i \(0.317707\pi\)
\(510\) −636.643 255.746i −1.24832 0.501462i
\(511\) −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
\(516\) −574.364 557.243i −1.11311 1.07993i
\(517\) −295.644 + 248.075i −0.571846 + 0.479835i
\(518\) −1087.49 + 348.162i −2.09939 + 0.672128i
\(519\) 91.3820 + 15.5191i 0.176073 + 0.0299020i
\(520\) 615.760 + 185.230i 1.18415 + 0.356212i
\(521\) 115.430 199.931i 0.221555 0.383745i −0.733725 0.679447i \(-0.762220\pi\)
0.955280 + 0.295701i \(0.0955533\pi\)
\(522\) 118.938 134.320i 0.227850 0.257319i
\(523\) 466.660 269.426i 0.892275 0.515155i 0.0175889 0.999845i \(-0.494401\pi\)
0.874686 + 0.484690i \(0.161068\pi\)
\(524\) −585.892 + 56.4693i −1.11811 + 0.107766i
\(525\) −383.895 136.989i −0.731229 0.260932i
\(526\) 3.05800 14.0874i 0.00581369 0.0267822i
\(527\) −200.728 + 551.497i −0.380889 + 1.04648i
\(528\) 595.204 119.713i 1.12728 0.226728i
\(529\) 73.2730 415.552i 0.138512 0.785543i
\(530\) 451.817 + 583.475i 0.852486 + 1.10090i
\(531\) 918.813 173.996i 1.73035 0.327677i
\(532\) 54.7735 211.874i 0.102958 0.398259i
\(533\) −92.8806 77.9361i −0.174260 0.146221i
\(534\) −639.146 21.0440i −1.19690 0.0394082i
\(535\) 153.297 27.0304i 0.286536 0.0505240i
\(536\) 707.147 + 356.309i 1.31930 + 0.664756i
\(537\) −230.732 393.878i −0.429669 0.733479i
\(538\) 647.970 340.952i 1.20441 0.633739i
\(539\) 634.946i 1.17801i
\(540\) 266.734 616.091i 0.493952 1.14091i
\(541\) −667.433 −1.23370 −0.616851 0.787080i \(-0.711592\pi\)
−0.616851 + 0.787080i \(0.711592\pi\)
\(542\) 305.883 + 581.324i 0.564360 + 1.07255i
\(543\) −179.004 101.848i −0.329658 0.187564i
\(544\) 114.706 577.360i 0.210857 1.06132i
\(545\) 1.76115 + 9.98795i 0.00323146 + 0.0183265i
\(546\) −656.103 408.163i −1.20165 0.747550i
\(547\) −275.089 + 327.838i −0.502905 + 0.599338i −0.956450 0.291895i \(-0.905714\pi\)
0.453546 + 0.891233i \(0.350159\pi\)
\(548\) −176.985 + 684.608i −0.322964 + 1.24928i
\(549\) 220.332 + 180.191i 0.401333 + 0.328217i
\(550\) −272.847 + 211.281i −0.496085 + 0.384146i
\(551\) −53.9184 9.50726i −0.0978555 0.0172546i
\(552\) −137.478 206.769i −0.249055 0.374581i
\(553\) 709.133 + 258.103i 1.28234 + 0.466733i
\(554\) −943.325 204.771i −1.70275 0.369622i
\(555\) 692.291 + 814.545i 1.24737 + 1.46765i
\(556\) −302.826 + 29.1869i −0.544650 + 0.0524943i
\(557\) −243.131 421.115i −0.436501 0.756042i 0.560916 0.827873i \(-0.310449\pi\)
−0.997417 + 0.0718308i \(0.977116\pi\)
\(558\) −534.234 210.701i −0.957409 0.377601i
\(559\) 746.767 + 431.146i 1.33590 + 0.771281i
\(560\) 154.786 978.441i 0.276403 1.74722i
\(561\) 654.393 242.867i 1.16648 0.432918i
\(562\) 185.509 + 579.439i 0.330088 + 1.03103i
\(563\) −122.684 146.209i −0.217911 0.259696i 0.646004 0.763334i \(-0.276439\pi\)
−0.863915 + 0.503638i \(0.831995\pi\)
\(564\) −352.201 + 100.107i −0.624470 + 0.177494i
\(565\) 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 \(0.438678\pi\)
\(570\) −202.824 + 28.9174i −0.355831 + 0.0507323i
\(571\) 583.706 + 695.633i 1.02225 + 1.21827i 0.975644 + 0.219358i \(0.0703964\pi\)
0.0466070 + 0.998913i \(0.485159\pi\)
\(572\) −590.432 + 281.688i −1.03222 + 0.492462i
\(573\) 396.665 147.216i 0.692260 0.256921i
\(574\) −99.6659 + 157.977i −0.173634 + 0.275221i
\(575\) 122.225 + 70.5668i 0.212566 + 0.122725i
\(576\) 561.773 + 127.230i 0.975300 + 0.220886i
\(577\) −327.002 566.384i −0.566728 0.981602i −0.996887 0.0788486i \(-0.974876\pi\)
0.430158 0.902753i \(-0.358458\pi\)
\(578\) 3.87288 98.6869i 0.00670049 0.170739i
\(579\) −409.730 482.086i −0.707652 0.832619i
\(580\) −247.073 19.4222i −0.425987 0.0334866i
\(581\) −248.298 90.3731i −0.427363 0.155548i
\(582\) 2.10111 0.687327i 0.00361016 0.00118097i
\(583\) −739.369 130.371i −1.26822 0.223621i
\(584\) −588.807 439.557i −1.00823 0.752666i
\(585\) −116.615 + 713.933i −0.199341 + 1.22040i
\(586\) −68.1650 + 166.639i −0.116323 + 0.284367i
\(587\) 531.514 633.433i 0.905475 1.07910i −0.0910532 0.995846i \(-0.529023\pi\)
0.996528 0.0832570i \(-0.0265322\pi\)
\(588\) −246.295 + 549.746i −0.418869 + 0.934942i
\(589\) 30.4322 + 172.590i 0.0516676 + 0.293022i
\(590\) −956.248 868.514i −1.62076 1.47206i
\(591\) −152.282 86.6431i −0.257668 0.146604i
\(592\) −577.060 + 712.877i −0.974763 + 1.20418i
\(593\) −612.406 −1.03273 −0.516363 0.856370i \(-0.672714\pi\)
−0.516363 + 0.856370i \(0.672714\pi\)
\(594\) 220.533 + 646.430i 0.371268 + 1.08827i
\(595\) 1138.90i 1.91412i
\(596\) −97.7602 + 69.7452i −0.164027 + 0.117022i
\(597\) −76.1277 129.956i −0.127517 0.217682i
\(598\) 198.053 + 179.882i 0.331192 + 0.300806i
\(599\) 332.336 58.5998i 0.554818 0.0978295i 0.110793 0.993844i \(-0.464661\pi\)
0.444026 + 0.896014i \(0.353550\pi\)
\(600\) −318.190 + 77.0928i −0.530317 + 0.128488i
\(601\) 690.482 + 579.383i 1.14889 + 0.964032i 0.999693 0.0247762i \(-0.00788733\pi\)
0.149195 + 0.988808i \(0.452332\pi\)
\(602\) 502.947 1229.53i 0.835460 2.04240i
\(603\) −294.089 + 840.877i −0.487711 + 1.39449i
\(604\) −233.954 + 238.117i −0.387341 + 0.394234i
\(605\) 42.0785 238.639i 0.0695513 0.394445i
\(606\) −156.746 + 744.727i −0.258656 + 1.22892i
\(607\) −120.427 + 330.870i −0.198397 + 0.545091i −0.998499 0.0547728i \(-0.982557\pi\)
0.800102 + 0.599864i \(0.204779\pi\)
\(608\) −56.5396 166.435i −0.0929927 0.273741i
\(609\) 280.495 + 100.092i 0.460583 + 0.164354i
\(610\) 15.4183 392.883i 0.0252760 0.644070i
\(611\) 341.677 197.267i 0.559210 0.322860i
\(612\) 660.791 + 43.5605i 1.07972 + 0.0711772i
\(613\) 166.058 287.621i 0.270894 0.469203i −0.698197 0.715906i \(-0.746014\pi\)
0.969091 + 0.246703i \(0.0793473\pi\)
\(614\) 296.253 469.580i 0.482497 0.764789i
\(615\) 172.401 + 29.2784i 0.280327 + 0.0476071i
\(616\) 552.694 + 842.745i 0.897230 + 1.36809i
\(617\) −95.0693 + 79.7727i −0.154083 + 0.129291i −0.716570 0.697515i \(-0.754289\pi\)
0.562487 + 0.826806i \(0.309845\pi\)
\(618\) 571.262 + 728.185i 0.924372 + 1.17829i
\(619\) −278.295 764.608i −0.449588 1.23523i −0.933012 0.359845i \(-0.882829\pi\)
0.483424 0.875386i \(1.66061\pi\)
\(620\) 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
\(624\) −620.472 + 14.8617i −0.994346 + 0.0238168i
\(625\) −597.474 + 501.340i −0.955958 + 0.802144i
\(626\) 98.2168 + 306.781i 0.156896 + 0.490065i
\(627\) 132.968 160.511i 0.212070 0.255999i
\(628\) 212.652 + 96.8874i 0.338618 + 0.154279i
\(629\) −527.231 + 913.191i −0.838205 + 1.45181i
\(630\) 1114.04 + 29.6432i 1.76832 + 0.0470527i
\(631\) −14.4536 + 8.34478i −0.0229058 + 0.0132247i −0.511409 0.859337i \(-0.670876\pi\)
0.488503 + 0.872562i \(0.337543\pi\)
\(632\) 589.990 139.010i 0.933529 0.219953i
\(633\) 109.386 + 598.255i 0.172805 + 0.945110i
\(634\) −416.342 90.3768i −0.656692 0.142550i
\(635\) −112.623 + 309.428i −0.177358 + 0.487288i
\(636\) −589.587 399.678i −0.927023 0.628424i
\(637\) 112.714 639.231i 0.176945 1.00350i
\(638\) 199.357 154.373i 0.312472 0.241964i
\(639\) −648.596 + 385.463i −1.01502 + 0.603228i
\(640\) −327.033 725.363i −0.510989 1.13338i
\(641\) −280.593 235.446i −0.437743 0.367310i 0.397121 0.917766i \(-0.370009\pi\)
−0.834864 + 0.550456i \(0.814454\pi\)
\(642\) −132.519 + 70.8010i −0.206416 + 0.110282i
\(643\) 62.1787 10.9638i 0.0967010 0.0170510i −0.125088 0.992146i \(-0.539921\pi\)
0.221789 + 0.975095i \(0.428810\pi\)
\(644\) 233.428 339.707i 0.362466 0.527495i
\(645\) −1243.62 + 7.84833i −1.92810 + 0.0121679i
\(646\) −94.1039 178.842i −0.145672 0.276845i
\(647\) 451.741i 0.698209i 0.937084 + 0.349105i \(0.113514\pi\)
−0.937084 + 0.349105i \(0.886486\pi\)
\(648\) −59.8087 + 645.234i −0.0922974 + 0.995731i
\(649\) 1314.23 2.02501
\(650\) 312.194 164.272i 0.480299 0.252726i
\(651\) −6.01603 953.282i −0.00924121 1.46434i
\(652\) 686.863 + 471.975i 1.05347 + 0.723888i
\(653\) −70.8989 402.088i −0.108574 0.615755i −0.989732 0.142933i \(-0.954347\pi\)
0.881158 0.472822i \(-0.156764\pi\)
\(654\) −4.61299 8.63421i −0.00705351 0.0132022i
\(655\) −587.977 + 700.723i −0.897675 + 1.06981i
\(656\) 2.64597 + 150.009i 0.00403350 + 0.228673i
\(657\) 404.246 721.041i 0.615291 1.09748i
\(658\) −372.132 480.569i −0.565549 0.730348i
\(659\) 45.3803 + 8.00177i 0.0688624 + 0.0121423i 0.207973 0.978135i \(-0.433313\pi\)
−0.139111 + 0.990277i \(0.544424\pi\)
\(660\) 529.417 780.972i 0.802147 1.18329i
\(661\) −731.802 266.354i −1.10711 0.402956i −0.277179 0.960818i \(-0.589400\pi\)
−0.829934 + 0.557862i \(0.811622\pi\)
\(662\) −116.928 + 538.657i −0.176629 + 0.813682i
\(663\) −701.923 + 128.340i −1.05871 + 0.193575i
\(664\) −206.581 + 48.6734i −0.311116 + 0.0733033i
\(665\) −170.044 294.525i −0.255706 0.442895i
\(666\) −879.535 539.491i −1.32062 0.810047i
\(667\) −89.3046 51.5600i −0.133890 0.0773014i
\(668\) −293.071 + 643.242i −0.438729 + 0.962938i
\(669\) −538.233 445.874i −0.804534 0.666478i
\(670\) 1171.97 375.210i 1.74921 0.560015i
\(671\) 257.124 + 306.429i 0.383196 + 0.456675i
\(672\) 151.630 + 944.051i 0.225641 + 1.40484i
\(673\) 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 \(0.306270\pi\)
\(678\) −159.259 + 124.939i −0.234895 + 0.184276i
\(679\) 2.35883 + 2.81115i 0.00347398 + 0.00414013i
\(680\) −501.677 764.955i −0.737761 1.12493i
\(681\) 113.905 670.710i 0.167261 0.984890i
\(682\) −682.594 430.641i −1.00087 0.631438i
\(683\) 1169.82 + 675.394i 1.71276 + 0.988863i 0.930794 + 0.365544i \(0.119117\pi\)
0.781967 + 0.623319i \(0.214216\pi\)
\(684\) 177.388 87.3950i 0.259339 0.127770i
\(685\) 549.448 + 951.673i 0.802115 + 1.38930i
\(686\) −23.8796 0.937134i −0.0348099 0.00136608i
\(687\) 445.737 1249.12i 0.648816 1.81823i
\(688\) −203.788 1047.37i −0.296203 1.52234i
\(689\) 721.217 + 262.501i 1.04676 + 0.380989i
\(690\) −377.602 79.4753i −0.547249 0.115182i
\(691\) 116.321 + 20.5106i 0.168338 + 0.0296824i 0.257182 0.966363i \(-0.417206\pi\)
−0.0888440 + 0.996046i \(0.528317\pi\)
\(692\) 88.1566 + 86.6154i 0.127394 + 0.125167i
\(693\) −859.267 + 739.691i −1.23992 + 1.06738i
\(694\) 275.381 + 112.647i 0.396803 + 0.162315i
\(695\) −303.903 + 362.178i −0.437271 + 0.521119i
\(696\) 232.488 56.3283i 0.334034 0.0809315i
\(697\) 29.9529 + 169.871i 0.0429740 + 0.243718i
\(698\) 40.1243 44.1775i 0.0574847 0.0632916i
\(699\) 94.4566 55.3323i 0.135131 0.0791592i
\(700\) −315.637 442.421i −0.450910 0.632030i
\(701\) 1114.27 1.58954 0.794772 0.606908i \(-0.207590\pi\)
0.794772 + 0.606908i \(0.207590\pi\)
\(702\) −107.270 689.942i −0.152806 0.982823i
\(703\) 314.874i 0.447901i
\(704\) 742.447 + 322.582i 1.05461 + 0.458213i
\(705\) −281.395 + 494.572i −0.399142 + 0.701521i
\(706\) 446.565 491.675i 0.632528 0.696423i
\(707\) −1244.13 + 219.373i −1.75973 + 0.310287i
\(708\) 1137.88 + 509.789i 1.60717 + 0.720040i
\(709\) −239.174 200.691i −0.337340 0.283062i 0.458343 0.888776i \(-0.348443\pi\)
−0.795683 + 0.605714i \(0.792888\pi\)
\(710\) 964.656 + 394.600i 1.35867 + 0.555774i
\(711\) 241.297 + 637.794i 0.339377 + 0.897039i
\(712\) −683.264 510.071i −0.959641 0.716392i
\(713\) −57.3181 + 325.067i −0.0803900 + 0.455915i
\(714\) 341.781 + 1044.80i 0.478684 + 1.46331i
\(715\) −347.712 + 955.331i −0.486310 + 1.33613i
\(716\) 47.6980 606.773i 0.0666173 0.847448i
\(717\) −78.8966 + 67.0551i −0.110037 + 0.0935217i
\(718\) 182.398 + 7.15806i 0.254036 + 0.00996944i
\(719\) −787.372 + 454.590i −1.09509 + 0.632253i −0.934928 0.354838i \(-0.884536\pi\)
−0.160166 + 0.987090i \(0.551203\pi\)
\(720\) 761.316 470.817i 1.05738 0.653912i
\(721\) −768.177 + 1330.52i −1.06543 + 1.84538i
\(722\) 559.595 + 353.042i 0.775063 + 0.488978i
\(723\) 63.0320 + 169.837i 0.0871813 + 0.234905i
\(724\) −118.241 247.839i −0.163317 0.342320i
\(725\) −104.158 + 87.3988i −0.143666 + 0.120550i
\(726\) 33.0130 + 231.550i 0.0454725 + 0.318939i
\(727\) −101.316 278.362i −0.139361 0.382892i 0.850304 0.526293i \(-0.176418\pi\)
−0.989665 + 0.143401i \(0.954196\pi\)
\(728\) −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
\(732\) 103.759 + 365.049i 0.141747 + 0.498701i
\(733\) 834.756 700.443i 1.13882 0.955584i 0.139421 0.990233i \(-0.455476\pi\)
0.999400 + 0.0346489i \(0.0110313\pi\)
\(734\) 895.857 286.811i 1.22051 0.390751i
\(735\) 325.730 + 877.663i 0.443171 + 1.19410i
\(736\) 7.14625 330.991i 0.00970958 0.449717i
\(737\) −625.970 + 1084.21i −0.849349 + 1.47112i
\(738\) −166.943 + 24.8777i −0.226210 + 0.0337096i
\(739\) 477.169 275.493i 0.645695 0.372792i −0.141110 0.989994i \(-0.545067\pi\)
0.786805 + 0.617202i \(0.211734\pi\)
\(740\) 136.742 + 1418.75i 0.184786 + 1.91723i
\(741\) −162.359 + 137.991i −0.219108 + 0.186222i
\(742\) 250.823 1155.48i 0.338037 1.55725i
\(743\) 46.7934 128.564i 0.0629789 0.173033i −0.904212 0.427084i \(-0.859541\pi\)
0.967191 + 0.254051i \(0.0817631\pi\)
\(744\) −423.955 637.633i −0.569832 0.857034i
\(745\) −32.4072 + 183.790i −0.0434996 + 0.246699i
\(746\) 726.833 + 938.629i 0.974307 + 1.25822i
\(747\) −84.4885 223.319i −0.113104 0.298955i
\(748\) 901.054 + 232.940i 1.20462 + 0.311417i
\(749\) −191.057 160.316i −0.255083 0.214040i
\(750\) 223.779 359.715i 0.298372 0.479620i
\(751\) 338.822 59.7435i 0.451161 0.0795519i 0.0565493 0.998400i \(-0.481990\pi\)
0.394612 + 0.918848i \(0.370879\pi\)
\(752\) −461.634 158.858i −0.613875 0.211248i
\(753\) 385.575 677.676i 0.512051 0.899968i
\(754\) −228.106 + 120.026i −0.302528 + 0.159186i
\(755\) 518.772i 0.687115i