Properties

Label 43.7.f.a.2.13
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.13
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.11483 + 2.31496i) q^{2} +(18.6979 - 38.8265i) q^{3} +(35.7871 - 44.8756i) q^{4} +(137.550 + 31.3949i) q^{5} +110.727 q^{6} +167.161i q^{7} +(304.102 + 69.4092i) q^{8} +(-703.365 - 881.992i) q^{9} +O(q^{10})\) \(q+(1.11483 + 2.31496i) q^{2} +(18.6979 - 38.8265i) q^{3} +(35.7871 - 44.8756i) q^{4} +(137.550 + 31.3949i) q^{5} +110.727 q^{6} +167.161i q^{7} +(304.102 + 69.4092i) q^{8} +(-703.365 - 881.992i) q^{9} +(80.6666 + 353.424i) q^{10} +(-449.994 - 564.275i) q^{11} +(-1073.22 - 2228.57i) q^{12} +(-269.644 + 1181.39i) q^{13} +(-386.972 + 186.356i) q^{14} +(3790.85 - 4753.58i) q^{15} +(-639.085 - 2800.01i) q^{16} +(1343.57 + 5886.55i) q^{17} +(1257.65 - 2611.53i) q^{18} +(-1791.70 - 1428.83i) q^{19} +(6331.40 - 5049.12i) q^{20} +(6490.28 + 3125.56i) q^{21} +(804.610 - 1670.79i) q^{22} +(1018.14 + 1276.70i) q^{23} +(8380.97 - 10509.4i) q^{24} +(3856.78 + 1857.33i) q^{25} +(-3035.48 + 692.828i) q^{26} +(-16768.1 + 3827.21i) q^{27} +(7501.46 + 5982.22i) q^{28} +(-12111.5 - 25149.8i) q^{29} +(15230.5 + 3476.26i) q^{30} +(-35994.9 + 17334.3i) q^{31} +(21377.2 - 17047.7i) q^{32} +(-30322.8 + 6920.98i) q^{33} +(-12129.3 + 9672.79i) q^{34} +(-5248.01 + 22993.0i) q^{35} -64751.4 q^{36} +57675.0i q^{37} +(1310.26 - 5740.62i) q^{38} +(40827.5 + 32558.8i) q^{39} +(39650.1 + 19094.5i) q^{40} +(38489.8 - 18535.7i) q^{41} +18509.2i q^{42} +(64855.7 + 45990.2i) q^{43} -41426.2 q^{44} +(-69058.0 - 143400. i) q^{45} +(-1820.47 + 3780.25i) q^{46} +(-71242.4 + 89335.2i) q^{47} +(-120664. - 27540.9i) q^{48} +89706.2 q^{49} +10998.9i q^{50} +(253676. + 57899.9i) q^{51} +(43365.8 + 54379.0i) q^{52} +(43839.1 + 192072. i) q^{53} +(-27553.4 - 34550.9i) q^{54} +(-44181.4 - 91743.7i) q^{55} +(-11602.5 + 50833.9i) q^{56} +(-88977.6 + 42849.4i) q^{57} +(44718.7 - 56075.5i) q^{58} +(-87202.5 - 382059. i) q^{59} +(-77656.2 - 340234. i) q^{60} +(-131089. + 272210. i) q^{61} +(-80256.3 - 64002.3i) q^{62} +(147435. - 117575. i) q^{63} +(-102310. - 49269.8i) q^{64} +(-74179.2 + 154035. i) q^{65} +(-49826.5 - 62480.4i) q^{66} +(224291. - 281252. i) q^{67} +(312245. + 150369. i) q^{68} +(68606.9 - 15659.1i) q^{69} +(-59078.6 + 13484.3i) q^{70} +(-91052.3 - 72611.8i) q^{71} +(-152676. - 317035. i) q^{72} +(350082. + 79903.8i) q^{73} +(-133516. + 64297.7i) q^{74} +(144227. - 115017. i) q^{75} +(-128240. + 29269.9i) q^{76} +(94324.8 - 75221.5i) q^{77} +(-29856.9 + 130811. i) q^{78} +648492. q^{79} -405207. i q^{80} +(18068.8 - 79164.6i) q^{81} +(85819.0 + 68438.3i) q^{82} +(285499. + 137489. i) q^{83} +(372530. - 179401. i) q^{84} +851877. i q^{85} +(-34162.7 + 201410. i) q^{86} -1.20294e6 q^{87} +(-97678.1 - 202831. i) q^{88} +(-531436. + 1.10354e6i) q^{89} +(254979. - 319733. i) q^{90} +(-197482. - 45074.0i) q^{91} +93729.0 q^{92} +1.72167e6i q^{93} +(-286231. - 65330.2i) q^{94} +(-201591. - 252787. i) q^{95} +(-262196. - 1.14876e6i) q^{96} +(-1.05002e6 - 1.31668e6i) q^{97} +(100007. + 207666. i) q^{98} +(-181176. + 793783. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11483 + 2.31496i 0.139353 + 0.289370i 0.958952 0.283567i \(-0.0915180\pi\)
−0.819599 + 0.572938i \(0.805804\pi\)
\(3\) 18.6979 38.8265i 0.692514 1.43802i −0.196670 0.980470i \(-0.563013\pi\)
0.889184 0.457550i \(-0.151273\pi\)
\(4\) 35.7871 44.8756i 0.559174 0.701182i
\(5\) 137.550 + 31.3949i 1.10040 + 0.251159i 0.733900 0.679258i \(-0.237698\pi\)
0.366502 + 0.930417i \(0.380555\pi\)
\(6\) 110.727 0.512624
\(7\) 167.161i 0.487350i 0.969857 + 0.243675i \(0.0783530\pi\)
−0.969857 + 0.243675i \(0.921647\pi\)
\(8\) 304.102 + 69.4092i 0.593948 + 0.135565i
\(9\) −703.365 881.992i −0.964836 1.20987i
\(10\) 80.6666 + 353.424i 0.0806666 + 0.353424i
\(11\) −449.994 564.275i −0.338087 0.423948i 0.583504 0.812111i \(-0.301681\pi\)
−0.921591 + 0.388162i \(0.873110\pi\)
\(12\) −1073.22 2228.57i −0.621078 1.28968i
\(13\) −269.644 + 1181.39i −0.122733 + 0.537728i 0.875755 + 0.482756i \(0.160364\pi\)
−0.998488 + 0.0549722i \(0.982493\pi\)
\(14\) −386.972 + 186.356i −0.141025 + 0.0679139i
\(15\) 3790.85 4753.58i 1.12322 1.40847i
\(16\) −639.085 2800.01i −0.156027 0.683597i
\(17\) 1343.57 + 5886.55i 0.273472 + 1.19816i 0.905884 + 0.423526i \(0.139208\pi\)
−0.632412 + 0.774632i \(0.717935\pi\)
\(18\) 1257.65 2611.53i 0.215646 0.447794i
\(19\) −1791.70 1428.83i −0.261219 0.208315i 0.484119 0.875002i \(-0.339140\pi\)
−0.745338 + 0.666687i \(0.767712\pi\)
\(20\) 6331.40 5049.12i 0.791424 0.631140i
\(21\) 6490.28 + 3125.56i 0.700819 + 0.337497i
\(22\) 804.610 1670.79i 0.0755644 0.156911i
\(23\) 1018.14 + 1276.70i 0.0836801 + 0.104931i 0.821909 0.569619i \(-0.192909\pi\)
−0.738229 + 0.674550i \(0.764338\pi\)
\(24\) 8380.97 10509.4i 0.606262 0.760229i
\(25\) 3856.78 + 1857.33i 0.246834 + 0.118869i
\(26\) −3035.48 + 692.828i −0.172706 + 0.0394190i
\(27\) −16768.1 + 3827.21i −0.851909 + 0.194443i
\(28\) 7501.46 + 5982.22i 0.341721 + 0.272513i
\(29\) −12111.5 25149.8i −0.496598 1.03120i −0.987152 0.159785i \(-0.948920\pi\)
0.490554 0.871411i \(-0.336794\pi\)
\(30\) 15230.5 + 3476.26i 0.564093 + 0.128750i
\(31\) −35994.9 + 17334.3i −1.20825 + 0.581862i −0.926016 0.377484i \(-0.876789\pi\)
−0.282233 + 0.959346i \(0.591075\pi\)
\(32\) 21377.2 17047.7i 0.652379 0.520255i
\(33\) −30322.8 + 6920.98i −0.843776 + 0.192586i
\(34\) −12129.3 + 9672.79i −0.308602 + 0.246102i
\(35\) −5248.01 + 22993.0i −0.122403 + 0.536281i
\(36\) −64751.4 −1.38785
\(37\) 57675.0i 1.13863i 0.822119 + 0.569315i \(0.192792\pi\)
−0.822119 + 0.569315i \(0.807208\pi\)
\(38\) 1310.26 5740.62i 0.0238785 0.104618i
\(39\) 40827.5 + 32558.8i 0.688269 + 0.548877i
\(40\) 39650.1 + 19094.5i 0.619533 + 0.298352i
\(41\) 38489.8 18535.7i 0.558463 0.268941i −0.133289 0.991077i \(-0.542554\pi\)
0.691751 + 0.722136i \(0.256839\pi\)
\(42\) 18509.2i 0.249828i
\(43\) 64855.7 + 45990.2i 0.815723 + 0.578442i
\(44\) −41426.2 −0.486315
\(45\) −69058.0 143400.i −0.757838 1.57367i
\(46\) −1820.47 + 3780.25i −0.0187030 + 0.0388371i
\(47\) −71242.4 + 89335.2i −0.686191 + 0.860456i −0.995908 0.0903725i \(-0.971194\pi\)
0.309717 + 0.950829i \(0.399766\pi\)
\(48\) −120664. 27540.9i −1.09108 0.249031i
\(49\) 89706.2 0.762490
\(50\) 10998.9i 0.0879911i
\(51\) 253676. + 57899.9i 1.91236 + 0.436483i
\(52\) 43365.8 + 54379.0i 0.308416 + 0.386742i
\(53\) 43839.1 + 192072.i 0.294465 + 1.29014i 0.878240 + 0.478221i \(0.158718\pi\)
−0.583774 + 0.811916i \(0.698425\pi\)
\(54\) −27553.4 34550.9i −0.174982 0.219421i
\(55\) −44181.4 91743.7i −0.265553 0.551427i
\(56\) −11602.5 + 50833.9i −0.0660675 + 0.289461i
\(57\) −88977.6 + 42849.4i −0.480459 + 0.231377i
\(58\) 44718.7 56075.5i 0.229195 0.287401i
\(59\) −87202.5 382059.i −0.424593 1.86026i −0.504424 0.863456i \(-0.668295\pi\)
0.0798304 0.996808i \(-0.474562\pi\)
\(60\) −77656.2 340234.i −0.359519 1.57516i
\(61\) −131089. + 272210.i −0.577535 + 1.19926i 0.383681 + 0.923466i \(0.374656\pi\)
−0.961216 + 0.275797i \(0.911058\pi\)
\(62\) −80256.3 64002.3i −0.336747 0.268547i
\(63\) 147435. 117575.i 0.589628 0.470213i
\(64\) −102310. 49269.8i −0.390281 0.187949i
\(65\) −74179.2 + 154035.i −0.270111 + 0.560891i
\(66\) −49826.5 62480.4i −0.173312 0.217326i
\(67\) 224291. 281252.i 0.745741 0.935129i −0.253743 0.967272i \(-0.581662\pi\)
0.999483 + 0.0321425i \(0.0102331\pi\)
\(68\) 312245. + 150369.i 0.993045 + 0.478225i
\(69\) 68606.9 15659.1i 0.208843 0.0476671i
\(70\) −59078.6 + 13484.3i −0.172241 + 0.0393129i
\(71\) −91052.3 72611.8i −0.254399 0.202877i 0.487983 0.872853i \(-0.337733\pi\)
−0.742382 + 0.669976i \(0.766304\pi\)
\(72\) −152676. 317035.i −0.409047 0.849396i
\(73\) 350082. + 79903.8i 0.899913 + 0.205399i 0.647361 0.762184i \(-0.275873\pi\)
0.252553 + 0.967583i \(0.418730\pi\)
\(74\) −133516. + 64297.7i −0.329486 + 0.158672i
\(75\) 144227. 115017.i 0.341872 0.272633i
\(76\) −128240. + 29269.9i −0.292134 + 0.0666776i
\(77\) 94324.8 75221.5i 0.206611 0.164767i
\(78\) −29856.9 + 130811.i −0.0629159 + 0.275653i
\(79\) 648492. 1.31530 0.657648 0.753326i \(-0.271552\pi\)
0.657648 + 0.753326i \(0.271552\pi\)
\(80\) 405207.i 0.791419i
\(81\) 18068.8 79164.6i 0.0339996 0.148962i
\(82\) 85819.0 + 68438.3i 0.155647 + 0.124125i
\(83\) 285499. + 137489.i 0.499311 + 0.240455i 0.666549 0.745461i \(-0.267771\pi\)
−0.167238 + 0.985916i \(0.553485\pi\)
\(84\) 372530. 179401.i 0.628526 0.302682i
\(85\) 851877.i 1.38714i
\(86\) −34162.7 + 201410.i −0.0537102 + 0.316654i
\(87\) −1.20294e6 −1.82678
\(88\) −97678.1 202831.i −0.143334 0.297636i
\(89\) −531436. + 1.10354e6i −0.753843 + 1.56537i 0.0693387 + 0.997593i \(0.477911\pi\)
−0.823182 + 0.567778i \(0.807803\pi\)
\(90\) 254979. 319733.i 0.349765 0.438591i
\(91\) −197482. 45074.0i −0.262062 0.0598139i
\(92\) 93729.0 0.120368
\(93\) 1.72167e6i 2.14043i
\(94\) −286231. 65330.2i −0.344614 0.0786558i
\(95\) −201591. 252787.i −0.235125 0.294838i
\(96\) −262196. 1.14876e6i −0.296356 1.29842i
\(97\) −1.05002e6 1.31668e6i −1.15049 1.44267i −0.876803 0.480849i \(-0.840328\pi\)
−0.273686 0.961819i \(-0.588243\pi\)
\(98\) 100007. + 207666.i 0.106256 + 0.220642i
\(99\) −181176. + 793783.i −0.186722 + 0.818081i
\(100\) 221372. 106607.i 0.221372 0.106607i
\(101\) −227553. + 285342.i −0.220861 + 0.276950i −0.879901 0.475157i \(-0.842391\pi\)
0.659040 + 0.752108i \(0.270963\pi\)
\(102\) 148769. + 651799.i 0.140188 + 0.614205i
\(103\) −95257.7 417351.i −0.0871743 0.381935i 0.912455 0.409178i \(-0.134184\pi\)
−0.999629 + 0.0272426i \(0.991327\pi\)
\(104\) −163998. + 340546.i −0.145794 + 0.302744i
\(105\) 794613. + 633683.i 0.686417 + 0.547399i
\(106\) −395766. + 315613.i −0.332293 + 0.264995i
\(107\) −827423. 398466.i −0.675423 0.325267i 0.0645389 0.997915i \(-0.479442\pi\)
−0.739962 + 0.672648i \(0.765157\pi\)
\(108\) −428334. + 889445.i −0.340026 + 0.706070i
\(109\) 441478. + 553596.i 0.340902 + 0.427478i 0.922499 0.385999i \(-0.126143\pi\)
−0.581597 + 0.813477i \(0.697572\pi\)
\(110\) 163129. 204557.i 0.122561 0.153686i
\(111\) 2.23932e6 + 1.07840e6i 1.63737 + 0.788517i
\(112\) 468053. 106830.i 0.333151 0.0760396i
\(113\) 925178. 211166.i 0.641195 0.146349i 0.110452 0.993881i \(-0.464770\pi\)
0.530743 + 0.847533i \(0.321913\pi\)
\(114\) −198389. 158210.i −0.133907 0.106787i
\(115\) 99962.8 + 207575.i 0.0657271 + 0.136484i
\(116\) −1.56205e6 356528.i −1.00074 0.228413i
\(117\) 1.23163e6 593124.i 0.768996 0.370329i
\(118\) 787237. 627801.i 0.479137 0.382099i
\(119\) −984002. + 224592.i −0.583922 + 0.133276i
\(120\) 1.48275e6 1.18245e6i 0.858071 0.684289i
\(121\) 278298. 1.21930e6i 0.157092 0.688265i
\(122\) −776298. −0.427513
\(123\) 1.84100e6i 0.989326i
\(124\) −510270. + 2.23564e6i −0.267630 + 1.17256i
\(125\) −1.25135e6 997920.i −0.640692 0.510935i
\(126\) 436547. + 210230.i 0.218232 + 0.105095i
\(127\) −386070. + 185922.i −0.188476 + 0.0907651i −0.525742 0.850644i \(-0.676212\pi\)
0.337266 + 0.941409i \(0.390498\pi\)
\(128\) 2.04169e6i 0.973552i
\(129\) 2.99830e6 1.65820e6i 1.39671 0.772447i
\(130\) −439282. −0.199946
\(131\) −799625. 1.66044e6i −0.355690 0.738599i 0.643959 0.765060i \(-0.277291\pi\)
−0.999650 + 0.0264608i \(0.991576\pi\)
\(132\) −774582. + 1.60844e6i −0.336780 + 0.699330i
\(133\) 238845. 299502.i 0.101522 0.127305i
\(134\) 901134. + 205678.i 0.374520 + 0.0854818i
\(135\) −2.42661e6 −0.986278
\(136\) 1.88337e6i 0.748717i
\(137\) −3.72565e6 850355.i −1.44891 0.330703i −0.575542 0.817772i \(-0.695209\pi\)
−0.873363 + 0.487069i \(0.838066\pi\)
\(138\) 112735. + 141365.i 0.0428964 + 0.0537904i
\(139\) −543691. 2.38207e6i −0.202445 0.886971i −0.969442 0.245320i \(-0.921107\pi\)
0.766997 0.641651i \(-0.221750\pi\)
\(140\) 844016. + 1.05836e6i 0.307586 + 0.385701i
\(141\) 2.13649e6 + 4.43647e6i 0.762156 + 1.58263i
\(142\) 66586.0 291732.i 0.0232551 0.101887i
\(143\) 787967. 379465.i 0.269463 0.129767i
\(144\) −2.02008e6 + 2.53310e6i −0.676521 + 0.848330i
\(145\) −876365. 3.83961e6i −0.287462 1.25945i
\(146\) 205306. + 899505.i 0.0659695 + 0.289031i
\(147\) 1.67731e6 3.48298e6i 0.528035 1.09648i
\(148\) 2.58820e6 + 2.06402e6i 0.798387 + 0.636692i
\(149\) −2.01620e6 + 1.60787e6i −0.609502 + 0.486061i −0.878925 0.476960i \(-0.841738\pi\)
0.269423 + 0.963022i \(0.413167\pi\)
\(150\) 427049. + 205656.i 0.126533 + 0.0609351i
\(151\) 1.80835e6 3.75508e6i 0.525233 1.09066i −0.454574 0.890709i \(-0.650208\pi\)
0.979807 0.199948i \(-0.0640773\pi\)
\(152\) −445685. 558871.i −0.126910 0.159140i
\(153\) 4.24687e6 5.32541e6i 1.18576 1.48689i
\(154\) 279291. + 134499.i 0.0764706 + 0.0368263i
\(155\) −5.49532e6 + 1.25427e6i −1.47570 + 0.336819i
\(156\) 2.92220e6 666972.i 0.769725 0.175685i
\(157\) 1.42290e6 + 1.13472e6i 0.367684 + 0.293218i 0.789850 0.613300i \(-0.210158\pi\)
−0.422165 + 0.906519i \(0.638730\pi\)
\(158\) 722957. + 1.50123e6i 0.183291 + 0.380607i
\(159\) 8.27718e6 + 1.88921e6i 2.05916 + 0.469991i
\(160\) 3.47565e6 1.67378e6i 0.848546 0.408638i
\(161\) −213415. + 170193.i −0.0511384 + 0.0407815i
\(162\) 203407. 46426.2i 0.0478432 0.0109199i
\(163\) −5.28616e6 + 4.21557e6i −1.22061 + 0.973404i −0.999998 0.00195709i \(-0.999377\pi\)
−0.220612 + 0.975362i \(0.570806\pi\)
\(164\) 545638. 2.39060e6i 0.123701 0.541969i
\(165\) −4.38819e6 −0.976862
\(166\) 814197.i 0.177994i
\(167\) −377824. + 1.65535e6i −0.0811223 + 0.355420i −0.999156 0.0410830i \(-0.986919\pi\)
0.918033 + 0.396503i \(0.129776\pi\)
\(168\) 1.75676e6 + 1.40097e6i 0.370498 + 0.295462i
\(169\) 3.02583e6 + 1.45716e6i 0.626881 + 0.301890i
\(170\) −1.97206e6 + 949696.i −0.401397 + 0.193303i
\(171\) 2.58526e6i 0.517030i
\(172\) 4.38484e6 1.26458e6i 0.861725 0.248521i
\(173\) −8.87572e6 −1.71421 −0.857107 0.515138i \(-0.827741\pi\)
−0.857107 + 0.515138i \(0.827741\pi\)
\(174\) −1.34107e6 2.78476e6i −0.254568 0.528616i
\(175\) −310473. + 644703.i −0.0579307 + 0.120294i
\(176\) −1.29239e6 + 1.62061e6i −0.237059 + 0.297263i
\(177\) −1.64645e7 3.75792e6i −2.96913 0.677686i
\(178\) −3.14711e6 −0.558023
\(179\) 2.32107e6i 0.404696i 0.979314 + 0.202348i \(0.0648572\pi\)
−0.979314 + 0.202348i \(0.935143\pi\)
\(180\) −8.90657e6 2.03287e6i −1.52719 0.348571i
\(181\) 110800. + 138939.i 0.0186855 + 0.0234309i 0.791086 0.611704i \(-0.209516\pi\)
−0.772401 + 0.635135i \(0.780944\pi\)
\(182\) −115814. 507414.i −0.0192108 0.0841682i
\(183\) 8.11787e6 + 1.01795e7i 1.32461 + 1.66101i
\(184\) 221002. + 458915.i 0.0354766 + 0.0736680i
\(185\) −1.81070e6 + 7.93321e6i −0.285978 + 1.25295i
\(186\) −3.98561e6 + 1.91937e6i −0.619378 + 0.298277i
\(187\) 2.71704e6 3.40706e6i 0.415500 0.521020i
\(188\) 1.45941e6 + 6.39410e6i 0.219636 + 0.962290i
\(189\) −639761. 2.80298e6i −0.0947616 0.415178i
\(190\) 360453. 748488.i 0.0525518 0.109125i
\(191\) 2.68022e6 + 2.13740e6i 0.384654 + 0.306751i 0.796657 0.604431i \(-0.206600\pi\)
−0.412004 + 0.911182i \(0.635171\pi\)
\(192\) −3.82595e6 + 3.05110e6i −0.540550 + 0.431074i
\(193\) 1.04338e7 + 5.02466e6i 1.45135 + 0.698931i 0.982828 0.184523i \(-0.0590739\pi\)
0.468518 + 0.883454i \(0.344788\pi\)
\(194\) 1.87748e6 3.89863e6i 0.257141 0.533958i
\(195\) 4.59364e6 + 5.76025e6i 0.619517 + 0.776850i
\(196\) 3.21033e6 4.02562e6i 0.426365 0.534644i
\(197\) −1.01547e7 4.89025e6i −1.32822 0.639635i −0.370898 0.928673i \(-0.620950\pi\)
−0.957317 + 0.289038i \(0.906664\pi\)
\(198\) −2.03956e6 + 465516.i −0.262749 + 0.0599707i
\(199\) 6.95516e6 1.58747e6i 0.882568 0.201440i 0.242863 0.970061i \(-0.421914\pi\)
0.639705 + 0.768620i \(0.279056\pi\)
\(200\) 1.04394e6 + 832511.i 0.130492 + 0.104064i
\(201\) −6.72628e6 1.39673e7i −0.828299 1.71998i
\(202\) −914239. 208669.i −0.110919 0.0253165i
\(203\) 4.20407e6 2.02458e6i 0.502553 0.242017i
\(204\) 1.16766e7 9.31181e6i 1.37540 1.09684i
\(205\) 5.87621e6 1.34121e6i 0.682080 0.155680i
\(206\) 859956. 685792.i 0.0983727 0.0784496i
\(207\) 409920. 1.79597e6i 0.0462155 0.202483i
\(208\) 3.48023e6 0.386739
\(209\) 1.65398e6i 0.181172i
\(210\) −581096. + 2.54595e6i −0.0627466 + 0.274911i
\(211\) −3.09604e6 2.46901e6i −0.329578 0.262830i 0.444694 0.895683i \(-0.353312\pi\)
−0.774272 + 0.632853i \(0.781884\pi\)
\(212\) 1.01882e7 + 4.90639e6i 1.06928 + 0.514937i
\(213\) −4.52175e6 + 2.17756e6i −0.467916 + 0.225336i
\(214\) 2.35967e6i 0.240774i
\(215\) 7.47706e6 + 8.36210e6i 0.752342 + 0.841395i
\(216\) −5.36486e6 −0.532349
\(217\) −2.89761e6 6.01695e6i −0.283570 0.588840i
\(218\) −789383. + 1.63917e6i −0.0761936 + 0.158218i
\(219\) 9.64817e6 1.20984e7i 0.918571 1.15185i
\(220\) −5.69818e6 1.30057e6i −0.535141 0.122143i
\(221\) −7.31659e6 −0.677847
\(222\) 6.38618e6i 0.583690i
\(223\) 7.21514e6 + 1.64681e6i 0.650624 + 0.148501i 0.535080 0.844802i \(-0.320282\pi\)
0.115544 + 0.993302i \(0.463139\pi\)
\(224\) 2.84972e6 + 3.57343e6i 0.253546 + 0.317937i
\(225\) −1.07458e6 4.70803e6i −0.0943386 0.413325i
\(226\) 1.52026e6 + 1.90634e6i 0.131702 + 0.165149i
\(227\) 1.78822e6 + 3.71327e6i 0.152877 + 0.317453i 0.963316 0.268371i \(-0.0864853\pi\)
−0.810438 + 0.585824i \(0.800771\pi\)
\(228\) −1.26136e6 + 5.52638e6i −0.106423 + 0.466269i
\(229\) −1.87278e7 + 9.01884e6i −1.55948 + 0.751007i −0.997117 0.0758812i \(-0.975823\pi\)
−0.562366 + 0.826889i \(0.690109\pi\)
\(230\) −369087. + 462820.i −0.0303351 + 0.0380390i
\(231\) −1.15692e6 5.06879e6i −0.0938570 0.411214i
\(232\) −1.93750e6 8.48876e6i −0.155160 0.679798i
\(233\) 9.06845e6 1.88308e7i 0.716911 1.48868i −0.149187 0.988809i \(-0.547666\pi\)
0.866099 0.499873i \(-0.166620\pi\)
\(234\) 2.74612e6 + 2.18996e6i 0.214324 + 0.170918i
\(235\) −1.26041e7 + 1.00514e7i −0.971197 + 0.774504i
\(236\) −2.02659e7 9.75954e6i −1.54181 0.742494i
\(237\) 1.21254e7 2.51787e7i 0.910860 1.89142i
\(238\) −1.61691e6 2.02755e6i −0.119938 0.150397i
\(239\) −939586. + 1.17820e6i −0.0688245 + 0.0863032i −0.815052 0.579388i \(-0.803292\pi\)
0.746228 + 0.665691i \(0.231863\pi\)
\(240\) −1.57328e7 7.57650e6i −1.13808 0.548069i
\(241\) −4.12433e6 + 941352.i −0.294647 + 0.0672514i −0.367289 0.930107i \(-0.619714\pi\)
0.0726419 + 0.997358i \(0.476857\pi\)
\(242\) 3.13290e6 715063.i 0.221055 0.0504543i
\(243\) −1.25387e7 9.99927e6i −0.873843 0.696867i
\(244\) 7.52428e6 + 1.56243e7i 0.517959 + 1.07555i
\(245\) 1.23391e7 + 2.81632e6i 0.839045 + 0.191507i
\(246\) 4.26186e6 2.05240e6i 0.286282 0.137866i
\(247\) 2.17113e6 1.73142e6i 0.144077 0.114898i
\(248\) −1.21493e7 + 2.77299e6i −0.796517 + 0.181800i
\(249\) 1.06765e7 8.51419e6i 0.691559 0.551500i
\(250\) 915106. 4.00934e6i 0.0585668 0.256598i
\(251\) 2.26024e7 1.42933 0.714667 0.699465i \(-0.246578\pi\)
0.714667 + 0.699465i \(0.246578\pi\)
\(252\) 1.08239e7i 0.676367i
\(253\) 262256. 1.14902e6i 0.0161943 0.0709520i
\(254\) −860803. 686468.i −0.0525294 0.0418908i
\(255\) 3.30754e7 + 1.59283e7i 1.99474 + 0.960614i
\(256\) −1.82140e6 + 877141.i −0.108564 + 0.0522817i
\(257\) 151968.i 0.00895269i 0.999990 + 0.00447634i \(0.00142487\pi\)
−0.999990 + 0.00447634i \(0.998575\pi\)
\(258\) 7.18127e6 + 5.09235e6i 0.418160 + 0.296524i
\(259\) −9.64102e6 −0.554912
\(260\) 4.25775e6 + 8.84131e6i 0.242248 + 0.503033i
\(261\) −1.36631e7 + 2.83718e7i −0.768473 + 1.59575i
\(262\) 2.95241e6 3.70220e6i 0.164162 0.205853i
\(263\) −3.07645e7 7.02180e6i −1.69115 0.385994i −0.734817 0.678266i \(-0.762732\pi\)
−0.956335 + 0.292271i \(0.905589\pi\)
\(264\) −9.70158e6 −0.527267
\(265\) 2.77958e7i 1.49363i
\(266\) 959608. + 219024.i 0.0509858 + 0.0116372i
\(267\) 3.29098e7 + 4.12676e7i 1.72899 + 2.16808i
\(268\) −4.59464e6 2.01304e7i −0.238697 1.04580i
\(269\) −9.03422e6 1.13285e7i −0.464124 0.581993i 0.493598 0.869690i \(-0.335682\pi\)
−0.957721 + 0.287698i \(0.907110\pi\)
\(270\) −2.70525e6 5.61752e6i −0.137441 0.285400i
\(271\) −6.54341e6 + 2.86685e7i −0.328773 + 1.44045i 0.492699 + 0.870200i \(0.336010\pi\)
−0.821472 + 0.570248i \(0.806847\pi\)
\(272\) 1.56238e7 7.52401e6i 0.776389 0.373889i
\(273\) −5.44256e6 + 6.82476e6i −0.267495 + 0.335428i
\(274\) −2.18491e6 9.57273e6i −0.106214 0.465355i
\(275\) −687485. 3.01207e6i −0.0330571 0.144833i
\(276\) 1.75253e6 3.63917e6i 0.0833564 0.173091i
\(277\) −8.91938e6 7.11297e6i −0.419658 0.334666i 0.390787 0.920481i \(-0.372203\pi\)
−0.810445 + 0.585815i \(0.800774\pi\)
\(278\) 4.90827e6 3.91422e6i 0.228452 0.182184i
\(279\) 4.06063e7 + 1.95549e7i 1.86974 + 0.900418i
\(280\) −3.19186e6 + 6.62796e6i −0.145402 + 0.301930i
\(281\) 4.80602e6 + 6.02655e6i 0.216604 + 0.271613i 0.878248 0.478205i \(-0.158712\pi\)
−0.661644 + 0.749818i \(0.730141\pi\)
\(282\) −7.88845e6 + 9.89180e6i −0.351758 + 0.441091i
\(283\) 95465.3 + 45973.6i 0.00421198 + 0.00202838i 0.435989 0.899952i \(-0.356399\pi\)
−0.431777 + 0.901981i \(0.642113\pi\)
\(284\) −6.51700e6 + 1.48746e6i −0.284507 + 0.0649368i
\(285\) −1.35841e7 + 3.10049e6i −0.586810 + 0.133936i
\(286\) 1.75689e6 + 1.40108e6i 0.0751013 + 0.0598913i
\(287\) 3.09845e6 + 6.43400e6i 0.131069 + 0.272167i
\(288\) −3.00719e7 6.86372e6i −1.25888 0.287331i
\(289\) −1.10991e7 + 5.34505e6i −0.459827 + 0.221441i
\(290\) 7.91155e6 6.30925e6i 0.324390 0.258692i
\(291\) −7.07554e7 + 1.61495e7i −2.87132 + 0.655359i
\(292\) 1.61142e7 1.28506e7i 0.647230 0.516149i
\(293\) 4.59394e6 2.01274e7i 0.182635 0.800174i −0.797735 0.603008i \(-0.793969\pi\)
0.980370 0.197167i \(-0.0631740\pi\)
\(294\) 9.93289e6 0.390871
\(295\) 5.52901e7i 2.15368i
\(296\) −4.00318e6 + 1.75391e7i −0.154358 + 0.676288i
\(297\) 9.70516e6 + 7.73961e6i 0.370453 + 0.295427i
\(298\) −5.96987e6 2.87494e6i −0.225588 0.108637i
\(299\) −1.78282e6 + 858558.i −0.0666949 + 0.0321186i
\(300\) 1.05884e7i 0.392164i
\(301\) −7.68777e6 + 1.08413e7i −0.281904 + 0.397543i
\(302\) 1.07089e7 0.388797
\(303\) 6.82410e6 + 1.41704e7i 0.245311 + 0.509394i
\(304\) −2.85570e6 + 5.92993e6i −0.101647 + 0.211071i
\(305\) −2.65774e7 + 3.33270e7i −0.936726 + 1.17462i
\(306\) 1.70627e7 + 3.89444e6i 0.595501 + 0.135919i
\(307\) 2.45041e7 0.846882 0.423441 0.905924i \(-0.360822\pi\)
0.423441 + 0.905924i \(0.360822\pi\)
\(308\) 6.92485e6i 0.237005i
\(309\) −1.79854e7 4.10505e6i −0.609600 0.139137i
\(310\) −9.02992e6 1.13232e7i −0.303109 0.380087i
\(311\) −5.44112e6 2.38391e7i −0.180887 0.792517i −0.981209 0.192947i \(-0.938195\pi\)
0.800322 0.599570i \(-0.204662\pi\)
\(312\) 1.01558e7 + 1.27350e7i 0.334388 + 0.419309i
\(313\) 1.08818e7 + 2.25963e7i 0.354868 + 0.736892i 0.999622 0.0274989i \(-0.00875426\pi\)
−0.644753 + 0.764391i \(0.723040\pi\)
\(314\) −1.04056e6 + 4.55898e6i −0.0336107 + 0.147258i
\(315\) 2.39709e7 1.15438e7i 0.766926 0.369332i
\(316\) 2.32077e7 2.91015e7i 0.735479 0.922262i
\(317\) −6.30357e6 2.76177e7i −0.197883 0.866982i −0.972194 0.234177i \(-0.924761\pi\)
0.774311 0.632805i \(-0.218097\pi\)
\(318\) 4.85417e6 + 2.12675e7i 0.150950 + 0.661356i
\(319\) −8.74131e6 + 1.81515e7i −0.269280 + 0.559166i
\(320\) −1.25259e7 9.98908e6i −0.382261 0.304843i
\(321\) −3.09421e7 + 2.46755e7i −0.935480 + 0.746020i
\(322\) −631910. 304312.i −0.0189273 0.00911489i
\(323\) 6.00363e6 1.24667e7i 0.178158 0.369950i
\(324\) −2.90593e6 3.64392e6i −0.0854379 0.107136i
\(325\) −3.23418e6 + 4.05554e6i −0.0942138 + 0.118140i
\(326\) −1.56520e7 7.53762e6i −0.451771 0.217561i
\(327\) 2.97489e7 6.79000e6i 0.850802 0.194190i
\(328\) 1.29914e7 2.96519e6i 0.368157 0.0840294i
\(329\) −1.49334e7 1.19090e7i −0.419343 0.334415i
\(330\) −4.89207e6 1.01585e7i −0.136129 0.282675i
\(331\) −3.41709e7 7.79930e6i −0.942265 0.215066i −0.276319 0.961066i \(-0.589115\pi\)
−0.665946 + 0.746000i \(0.731972\pi\)
\(332\) 1.63871e7 7.89162e6i 0.447804 0.215651i
\(333\) 5.08689e7 4.05666e7i 1.37759 1.09859i
\(334\) −4.25329e6 + 970786.i −0.114153 + 0.0260546i
\(335\) 3.96812e7 3.16447e7i 1.05548 0.841718i
\(336\) 4.60376e6 2.01704e7i 0.121365 0.531736i
\(337\) 2.57339e7 0.672382 0.336191 0.941794i \(-0.390861\pi\)
0.336191 + 0.941794i \(0.390861\pi\)
\(338\) 8.62918e6i 0.223470i
\(339\) 9.10003e6 3.98698e7i 0.233584 1.02340i
\(340\) 3.82286e7 + 3.04863e7i 0.972638 + 0.775653i
\(341\) 2.59788e7 + 1.25107e7i 0.655173 + 0.315515i
\(342\) −5.98477e6 + 2.88211e6i −0.149613 + 0.0720498i
\(343\) 3.46617e7i 0.858949i
\(344\) 1.65306e7 + 1.84873e7i 0.406081 + 0.454148i
\(345\) 9.92850e6 0.241783
\(346\) −9.89489e6 2.05470e7i −0.238882 0.496043i
\(347\) 2.79371e7 5.80119e7i 0.668640 1.38844i −0.239962 0.970782i \(-0.577135\pi\)
0.908602 0.417663i \(-0.137151\pi\)
\(348\) −4.30498e7 + 5.39828e7i −1.02149 + 1.28091i
\(349\) −3.74345e7 8.54417e6i −0.880634 0.200999i −0.241784 0.970330i \(-0.577732\pi\)
−0.638850 + 0.769331i \(0.720590\pi\)
\(350\) −1.83859e6 −0.0428825
\(351\) 2.08417e7i 0.481960i
\(352\) −1.92392e7 4.39122e6i −0.441123 0.100683i
\(353\) −6.14961e6 7.71137e6i −0.139805 0.175310i 0.707000 0.707214i \(-0.250048\pi\)
−0.846805 + 0.531904i \(0.821477\pi\)
\(354\) −9.65567e6 4.23042e7i −0.217657 0.953617i
\(355\) −1.02446e7 1.28463e7i −0.228987 0.287141i
\(356\) 3.05034e7 + 6.33410e7i 0.676081 + 1.40390i
\(357\) −9.67861e6 + 4.24048e7i −0.212720 + 0.931988i
\(358\) −5.37319e6 + 2.58759e6i −0.117107 + 0.0563958i
\(359\) 1.85206e7 2.32241e7i 0.400288 0.501945i −0.540311 0.841465i \(-0.681693\pi\)
0.940599 + 0.339520i \(0.110265\pi\)
\(360\) −1.10473e7 4.84015e7i −0.236783 1.03741i
\(361\) −9.30007e6 4.07463e7i −0.197681 0.866096i
\(362\) −198116. + 411392.i −0.00417632 + 0.00867221i
\(363\) −4.21377e7 3.36037e7i −0.880950 0.702534i
\(364\) −9.09005e6 + 7.24907e6i −0.188479 + 0.150307i
\(365\) 4.56452e7 + 2.19816e7i 0.938678 + 0.452043i
\(366\) −1.45151e7 + 3.01410e7i −0.296058 + 0.614772i
\(367\) 2.98942e7 + 3.74861e7i 0.604768 + 0.758355i 0.986113 0.166078i \(-0.0531104\pi\)
−0.381345 + 0.924433i \(0.624539\pi\)
\(368\) 2.92411e6 3.66671e6i 0.0586746 0.0735756i
\(369\) −4.34208e7 2.09103e7i −0.864208 0.416181i
\(370\) −2.03837e7 + 4.65245e6i −0.402419 + 0.0918495i
\(371\) −3.21069e7 + 7.32819e6i −0.628748 + 0.143508i
\(372\) 7.72612e7 + 6.16137e7i 1.50083 + 1.19687i
\(373\) 2.42834e7 + 5.04250e7i 0.467932 + 0.971671i 0.992721 + 0.120438i \(0.0384300\pi\)
−0.524789 + 0.851232i \(0.675856\pi\)
\(374\) 1.09162e7 + 2.49156e6i 0.208669 + 0.0476273i
\(375\) −6.21434e7 + 2.99267e7i −1.17842 + 0.567499i
\(376\) −2.78656e7 + 2.22221e7i −0.524210 + 0.418043i
\(377\) 3.29775e7 7.52691e6i 0.615452 0.140473i
\(378\) 5.77556e6 4.60586e6i 0.106935 0.0852776i
\(379\) 313743. 1.37460e6i 0.00576310 0.0252498i −0.971965 0.235127i \(-0.924449\pi\)
0.977728 + 0.209877i \(0.0673065\pi\)
\(380\) −1.85583e7 −0.338211
\(381\) 1.84661e7i 0.333888i
\(382\) −1.96003e6 + 8.58744e6i −0.0351619 + 0.154054i
\(383\) 2.53181e7 + 2.01905e7i 0.450645 + 0.359378i 0.822358 0.568970i \(-0.192658\pi\)
−0.371713 + 0.928348i \(0.621229\pi\)
\(384\) −7.92716e7 3.81752e7i −1.39999 0.674198i
\(385\) 1.53360e7 7.38541e6i 0.268738 0.129417i
\(386\) 2.97555e7i 0.517375i
\(387\) −5.05425e6 8.95502e7i −0.0872015 1.54502i
\(388\) −9.66643e7 −1.65490
\(389\) −1.25559e7 2.60725e7i −0.213303 0.442929i 0.766674 0.642036i \(-0.221910\pi\)
−0.979978 + 0.199107i \(0.936196\pi\)
\(390\) −8.21364e6 + 1.70558e7i −0.138466 + 0.287527i
\(391\) −6.14743e6 + 7.70864e6i −0.102840 + 0.128958i
\(392\) 2.72798e7 + 6.22643e6i 0.452880 + 0.103367i
\(393\) −7.94203e7 −1.30844
\(394\) 2.89595e7i 0.473482i
\(395\) 8.92002e7 + 2.03594e7i 1.44735 + 0.330349i
\(396\) 2.91378e7 + 3.65376e7i 0.469214 + 0.588375i
\(397\) 1.39207e7 + 6.09904e7i 0.222479 + 0.974743i 0.955605 + 0.294651i \(0.0952033\pi\)
−0.733126 + 0.680093i \(0.761940\pi\)
\(398\) 1.14287e7 + 1.43312e7i 0.181280 + 0.227318i
\(399\) −7.16274e6 1.48736e7i −0.112761 0.234152i
\(400\) 2.73573e6 1.19860e7i 0.0427458 0.187282i
\(401\) −1.42001e7 + 6.83841e6i −0.220221 + 0.106053i −0.540742 0.841189i \(-0.681856\pi\)
0.320521 + 0.947241i \(0.396142\pi\)
\(402\) 2.48351e7 3.11422e7i 0.382285 0.479370i
\(403\) −1.07727e7 4.71981e7i −0.164592 0.721123i
\(404\) 4.66146e6 + 2.04232e7i 0.0706932 + 0.309727i
\(405\) 4.97073e6 1.03218e7i 0.0748265 0.155379i
\(406\) 9.37363e6 + 7.47522e6i 0.140065 + 0.111698i
\(407\) 3.25446e7 2.59534e7i 0.482720 0.384957i
\(408\) 7.31245e7 + 3.52149e7i 1.07667 + 0.518497i
\(409\) 1.96643e7 4.08332e7i 0.287414 0.596821i −0.706409 0.707804i \(-0.749686\pi\)
0.993822 + 0.110984i \(0.0354001\pi\)
\(410\) 9.65580e6 + 1.21080e7i 0.140100 + 0.175679i
\(411\) −1.02678e8 + 1.28754e8i −1.47894 + 1.85454i
\(412\) −2.21379e7 1.06611e7i −0.316552 0.152443i
\(413\) 6.38654e7 1.45769e7i 0.906600 0.206926i
\(414\) 4.61460e6 1.05325e6i 0.0650330 0.0148433i
\(415\) 3.49540e7 + 2.78749e7i 0.489050 + 0.390004i
\(416\) 1.43758e7 + 2.98516e7i 0.199687 + 0.414655i
\(417\) −1.02653e8 2.34299e7i −1.41568 0.323119i
\(418\) −3.82890e6 + 1.84390e6i −0.0524258 + 0.0252469i
\(419\) −3.51568e7 + 2.80366e7i −0.477933 + 0.381139i −0.832619 0.553847i \(-0.813159\pi\)
0.354685 + 0.934986i \(0.384588\pi\)
\(420\) 5.68739e7 1.29811e7i 0.767653 0.175212i
\(421\) −6.54843e7 + 5.22220e7i −0.877588 + 0.699853i −0.954828 0.297159i \(-0.903961\pi\)
0.0772396 + 0.997013i \(0.475389\pi\)
\(422\) 2.26411e6 9.91973e6i 0.0301273 0.131996i
\(423\) 1.28902e8 1.70310
\(424\) 6.14521e7i 0.806194i
\(425\) −5.75141e6 + 2.51986e7i −0.0749216 + 0.328253i
\(426\) −1.00819e7 8.04008e6i −0.130411 0.104000i
\(427\) −4.55029e7 2.19130e7i −0.584461 0.281461i
\(428\) −4.74925e7 + 2.28712e7i −0.605750 + 0.291714i
\(429\) 3.76892e7i 0.477359i
\(430\) −1.10223e7 + 2.66314e7i −0.138633 + 0.334957i
\(431\) 9.03965e7 1.12907 0.564533 0.825410i \(-0.309056\pi\)
0.564533 + 0.825410i \(0.309056\pi\)
\(432\) 2.14325e7 + 4.45051e7i 0.265841 + 0.552024i
\(433\) 3.83419e7 7.96179e7i 0.472292 0.980724i −0.519691 0.854354i \(-0.673953\pi\)
0.991983 0.126370i \(-0.0403327\pi\)
\(434\) 1.06987e7 1.34157e7i 0.130876 0.164114i
\(435\) −1.65465e8 3.77663e7i −2.01019 0.458813i
\(436\) 4.06422e7 0.490364
\(437\) 3.74221e6i 0.0448419i
\(438\) 3.87634e7 + 8.84750e6i 0.461318 + 0.105293i
\(439\) −5.74825e7 7.20808e7i −0.679426 0.851973i 0.315875 0.948801i \(-0.397702\pi\)
−0.995301 + 0.0968277i \(0.969130\pi\)
\(440\) −7.06779e6 3.09660e7i −0.0829708 0.363519i
\(441\) −6.30962e7 7.91202e7i −0.735678 0.922511i
\(442\) −8.15673e6 1.69376e7i −0.0944603 0.196149i
\(443\) −8.02732e6 + 3.51700e7i −0.0923336 + 0.404540i −0.999881 0.0154092i \(-0.995095\pi\)
0.907548 + 0.419949i \(0.137952\pi\)
\(444\) 1.28533e8 6.18982e7i 1.46847 0.707178i
\(445\) −1.07745e8 + 1.35107e8i −1.22269 + 1.53320i
\(446\) 4.23133e6 + 1.85387e7i 0.0476950 + 0.208965i
\(447\) 2.47292e7 + 1.08346e8i 0.276878 + 1.21308i
\(448\) 8.23599e6 1.71022e7i 0.0915972 0.190203i
\(449\) 3.14751e7 + 2.51006e7i 0.347719 + 0.277297i 0.781738 0.623607i \(-0.214333\pi\)
−0.434019 + 0.900904i \(0.642905\pi\)
\(450\) 9.70094e6 7.73624e6i 0.106457 0.0848970i
\(451\) −2.77794e7 1.33779e7i −0.302826 0.145834i
\(452\) 2.36333e7 4.90750e7i 0.255923 0.531429i
\(453\) −1.11984e8 1.40424e8i −1.20466 1.51059i
\(454\) −6.60253e6 + 8.27932e6i −0.0705575 + 0.0884763i
\(455\) −2.57486e7 1.23999e7i −0.273350 0.131639i
\(456\) −3.00324e7 + 6.85469e6i −0.316734 + 0.0722925i
\(457\) 1.03605e8 2.36472e7i 1.08551 0.247760i 0.357904 0.933758i \(-0.383491\pi\)
0.727603 + 0.685998i \(0.240634\pi\)
\(458\) −4.17565e7 3.32997e7i −0.434638 0.346613i
\(459\) −4.50582e7 9.35643e7i −0.465946 0.967547i
\(460\) 1.28924e7 + 2.94261e6i 0.132453 + 0.0302315i
\(461\) −2.79946e7 + 1.34815e7i −0.285740 + 0.137605i −0.571264 0.820767i \(-0.693547\pi\)
0.285524 + 0.958372i \(0.407832\pi\)
\(462\) 1.04443e7 8.32904e6i 0.105914 0.0844635i
\(463\) 1.35607e8 3.09513e7i 1.36627 0.311843i 0.524379 0.851485i \(-0.324298\pi\)
0.841895 + 0.539642i \(0.181440\pi\)
\(464\) −6.26796e7 + 4.99853e7i −0.627440 + 0.500367i
\(465\) −5.40518e7 + 2.36816e8i −0.537590 + 2.35534i
\(466\) 5.37024e7 0.530684
\(467\) 8.82488e7i 0.866479i 0.901279 + 0.433240i \(0.142630\pi\)
−0.901279 + 0.433240i \(0.857370\pi\)
\(468\) 1.74598e7 7.64966e7i 0.170335 0.746285i
\(469\) 4.70144e7 + 3.74928e7i 0.455735 + 0.363437i
\(470\) −3.73200e7 1.79724e7i −0.359458 0.173106i
\(471\) 7.06626e7 3.40293e7i 0.676281 0.325680i
\(472\) 1.22237e8i 1.16246i
\(473\) −3.23358e6 5.72918e7i −0.0305562 0.541388i
\(474\) 7.18055e7 0.674253
\(475\) −4.25638e6 8.83846e6i −0.0397154 0.0824700i
\(476\) −2.51359e7 + 5.21952e7i −0.233063 + 0.483961i
\(477\) 1.38571e8 1.73762e8i 1.27678 1.60103i
\(478\) −3.77497e6 861613.i −0.0345645 0.00788912i
\(479\) 1.62441e8 1.47805 0.739025 0.673678i \(-0.235286\pi\)
0.739025 + 0.673678i \(0.235286\pi\)
\(480\) 1.66243e8i 1.50321i
\(481\) −6.81366e7 1.55517e7i −0.612274 0.139747i
\(482\) −6.77712e6 8.49823e6i −0.0605207 0.0758905i
\(483\) 2.61759e6 + 1.14684e7i 0.0232306 + 0.101780i
\(484\) −4.47575e7 5.61242e7i −0.394757 0.495010i
\(485\) −1.03093e8 2.14076e8i −0.903661 1.87647i
\(486\) 9.16947e6 4.01741e7i 0.0798795 0.349975i
\(487\) −6.26685e7 + 3.01795e7i −0.542578 + 0.261292i −0.685036 0.728509i \(-0.740214\pi\)
0.142458 + 0.989801i \(0.454499\pi\)
\(488\) −5.87584e7 + 7.36806e7i −0.505604 + 0.634007i
\(489\) 6.48360e7 + 2.84065e8i 0.554485 + 2.42936i
\(490\) 7.23629e6 + 3.17043e7i 0.0615075 + 0.269482i
\(491\) −644307. + 1.33792e6i −0.00544312 + 0.0113028i −0.903673 0.428224i \(-0.859139\pi\)
0.898230 + 0.439527i \(0.144854\pi\)
\(492\) −8.26163e7 6.58843e7i −0.693698 0.553205i
\(493\) 1.31773e8 1.05086e8i 1.09973 0.877006i
\(494\) 6.42860e6 + 3.09585e6i 0.0533256 + 0.0256802i
\(495\) −4.98415e7 + 1.03497e8i −0.410938 + 0.853321i
\(496\) 7.15400e7 + 8.97083e7i 0.586278 + 0.735170i
\(497\) 1.21379e7 1.52204e7i 0.0988719 0.123981i
\(498\) 3.16124e7 + 1.52238e7i 0.255959 + 0.123263i
\(499\) 1.89469e8 4.32450e7i 1.52488 0.348044i 0.623761 0.781615i \(-0.285604\pi\)
0.901119 + 0.433571i \(0.142747\pi\)
\(500\) −8.95646e7 + 2.04425e7i −0.716517 + 0.163540i
\(501\) 5.72072e7 + 4.56212e7i 0.454922 + 0.362789i
\(502\) 2.51978e7 + 5.23237e7i 0.199182 + 0.413607i
\(503\) 1.16097e8 + 2.64984e7i 0.912259 + 0.208217i 0.652794 0.757535i \(-0.273597\pi\)
0.259465 + 0.965753i \(0.416454\pi\)
\(504\) 5.29959e7 2.55215e7i 0.413953 0.199349i
\(505\) −4.02583e7 + 3.21049e7i −0.312594 + 0.249285i
\(506\) 2.95230e6 673843.i 0.0227881 0.00520125i
\(507\) 1.13153e8 9.02367e7i 0.868247 0.692404i
\(508\) −5.47300e6 + 2.39788e7i −0.0417478 + 0.182909i
\(509\) −6.94648e7 −0.526758 −0.263379 0.964692i \(-0.584837\pi\)
−0.263379 + 0.964692i \(0.584837\pi\)
\(510\) 9.43257e7i 0.711082i
\(511\) −1.33568e7 + 5.85200e7i −0.100101 + 0.438573i
\(512\) −1.06221e8 8.47087e7i −0.791411 0.631129i
\(513\) 3.55119e7 + 1.71016e7i 0.263040 + 0.126673i
\(514\) −351801. + 169418.i −0.00259064 + 0.00124759i
\(515\) 6.03973e7i 0.442177i
\(516\) 3.28878e7 1.93893e8i 0.239379 1.41128i
\(517\) 8.24683e7 0.596781
\(518\) −1.07481e7 2.23186e7i −0.0773288 0.160575i
\(519\) −1.65957e8 + 3.44613e8i −1.18712 + 2.46507i
\(520\) −3.32495e7 + 4.16935e7i −0.236469 + 0.296523i
\(521\) −1.67092e8 3.81377e7i −1.18153 0.269676i −0.413748 0.910391i \(-0.635781\pi\)
−0.767778 + 0.640716i \(0.778638\pi\)
\(522\) −8.09117e7 −0.568853
\(523\) 1.42743e8i 0.997812i −0.866656 0.498906i \(-0.833735\pi\)
0.866656 0.498906i \(-0.166265\pi\)
\(524\) −1.03129e8 2.35386e7i −0.716785 0.163602i
\(525\) 1.92264e7 + 2.41091e7i 0.132868 + 0.166611i
\(526\) −1.80419e7 7.90468e7i −0.123972 0.543159i
\(527\) −1.50401e8 1.88596e8i −1.02758 1.28855i
\(528\) 3.87577e7 + 8.04811e7i 0.263303 + 0.546754i
\(529\) 3.23477e7 1.41725e8i 0.218513 0.957367i
\(530\) −6.43463e7 + 3.09875e7i −0.432211 + 0.208142i
\(531\) −2.75638e8 + 3.45639e8i −1.84101 + 2.30855i
\(532\) −4.89278e6 2.14367e7i −0.0324953 0.142371i
\(533\) 1.15193e7 + 5.04695e7i 0.0760756 + 0.333309i
\(534\) −5.88442e7 + 1.22191e8i −0.386438 + 0.802448i
\(535\) −1.01302e8 8.07859e7i −0.661543 0.527563i
\(536\) 8.77288e7 6.99614e7i 0.569702 0.454322i
\(537\) 9.01191e7 + 4.33991e7i 0.581961 + 0.280258i
\(538\) 1.61536e7 3.35433e7i 0.103734 0.215406i
\(539\) −4.03673e7 5.06190e7i −0.257788 0.323256i
\(540\) −8.68415e7 + 1.08896e8i −0.551501 + 0.691560i
\(541\) −5.90872e7 2.84549e7i −0.373166 0.179707i 0.237895 0.971291i \(-0.423543\pi\)
−0.611061 + 0.791584i \(0.709257\pi\)
\(542\) −7.36614e7 + 1.68127e7i −0.462639 + 0.105594i
\(543\) 7.46626e6 1.70412e6i 0.0466341 0.0106439i
\(544\) 1.29074e8 + 1.02933e8i 0.801755 + 0.639379i
\(545\) 4.33453e7 + 9.00075e7i 0.267764 + 0.556018i
\(546\) −2.18666e7 4.99091e6i −0.134339 0.0306621i
\(547\) −1.90258e8 + 9.16234e7i −1.16247 + 0.559815i −0.912756 0.408506i \(-0.866050\pi\)
−0.249711 + 0.968320i \(0.580336\pi\)
\(548\) −1.71490e8 + 1.36759e8i −1.04207 + 0.831026i
\(549\) 3.32291e8 7.58432e7i 2.00817 0.458352i
\(550\) 6.20640e6 4.94944e6i 0.0373037 0.0297487i
\(551\) −1.42347e7 + 6.23663e7i −0.0850930 + 0.372817i
\(552\) 2.19503e7 0.130504
\(553\) 1.08403e8i 0.641009i
\(554\) 6.52269e6 2.85778e7i 0.0383617 0.168073i
\(555\) 2.74163e8 + 2.18638e8i 1.60372 + 1.27893i
\(556\) −1.26354e8 6.08488e7i −0.735130 0.354020i
\(557\) 3.96140e7 1.90771e7i 0.229236 0.110394i −0.315740 0.948846i \(-0.602253\pi\)
0.544977 + 0.838451i \(0.316539\pi\)
\(558\) 1.15802e8i 0.666523i
\(559\) −7.18203e7 + 6.42188e7i −0.411161 + 0.367643i
\(560\) 6.77347e7 0.385698
\(561\) −8.14814e7 1.69198e8i −0.461498 0.958310i
\(562\) −8.59337e6 + 1.78443e7i −0.0484122 + 0.100529i
\(563\) −9.72526e7 + 1.21951e8i −0.544974 + 0.683376i −0.975701 0.219106i \(-0.929686\pi\)
0.430727 + 0.902482i \(0.358257\pi\)
\(564\) 2.75549e8 + 6.28922e7i 1.53589 + 0.350557i
\(565\) 1.33888e8 0.742329
\(566\) 272251.i 0.00150148i
\(567\) 1.32332e7 + 3.02040e6i 0.0725967 + 0.0165697i
\(568\) −2.26492e7 2.84012e7i −0.123597 0.154986i
\(569\) −2.46653e6 1.08066e7i −0.0133890 0.0586612i 0.967792 0.251751i \(-0.0810063\pi\)
−0.981181 + 0.193090i \(0.938149\pi\)
\(570\) −2.23215e7 2.79903e7i −0.120531 0.151141i
\(571\) 7.10753e7 + 1.47589e8i 0.381777 + 0.792769i 0.999977 + 0.00674783i \(0.00214792\pi\)
−0.618200 + 0.786021i \(0.712138\pi\)
\(572\) 1.11703e7 4.89405e7i 0.0596868 0.261505i
\(573\) 1.33102e8 6.40987e7i 0.707492 0.340710i
\(574\) −1.14402e7 + 1.43456e7i −0.0604921 + 0.0758547i
\(575\) 1.55547e6 + 6.81496e6i 0.00818198 + 0.0358476i
\(576\) 2.85056e7 + 1.24891e8i 0.149164 + 0.653528i
\(577\) −1.38774e7 + 2.88167e7i −0.0722405 + 0.150009i −0.933962 0.357373i \(-0.883672\pi\)
0.861721 + 0.507382i \(0.169387\pi\)
\(578\) −2.47472e7 1.97352e7i −0.128157 0.102202i
\(579\) 3.90180e8 3.11158e8i 2.01015 1.60304i
\(580\) −2.03667e8 9.80810e7i −1.04385 0.502691i
\(581\) −2.29828e7 + 4.77244e7i −0.117186 + 0.243339i
\(582\) −1.16266e8 1.45792e8i −0.589769 0.739547i
\(583\) 8.86539e7 1.11168e8i 0.447396 0.561017i
\(584\) 1.00914e8 + 4.85978e7i 0.506657 + 0.243993i
\(585\) 1.88033e8 4.29172e7i 0.939216 0.214370i
\(586\) 5.17156e7 1.18037e7i 0.256997 0.0586580i
\(587\) 1.94939e7 + 1.55458e7i 0.0963793 + 0.0768599i 0.670494 0.741915i \(-0.266082\pi\)
−0.574115 + 0.818775i \(0.694654\pi\)
\(588\) −9.62747e7 1.99916e8i −0.473566 0.983369i
\(589\) 8.92599e7 + 2.03730e7i 0.436828 + 0.0997031i
\(590\) 1.27994e8 6.16389e7i 0.623211 0.300122i
\(591\) −3.79743e8 + 3.02835e8i −1.83962 + 1.46704i
\(592\) 1.61491e8 3.68593e7i 0.778365 0.177657i
\(593\) 5.67469e7 4.52541e7i 0.272131 0.217017i −0.477910 0.878409i \(-0.658605\pi\)
0.750041 + 0.661392i \(0.230034\pi\)
\(594\) −7.09732e6 + 3.10954e7i −0.0338638 + 0.148367i
\(595\) −1.42401e8 −0.676023
\(596\) 1.48019e8i 0.699165i
\(597\) 6.84108e7 2.99727e8i 0.321515 1.40865i
\(598\) −3.97506e6 3.17001e6i −0.0185883 0.0148237i
\(599\) −6.10598e7 2.94048e7i −0.284102 0.136816i 0.286406 0.958108i \(-0.407539\pi\)
−0.570508 + 0.821292i \(0.693254\pi\)
\(600\) 5.18429e7 2.49662e7i 0.240014 0.115584i
\(601\) 3.01079e8i 1.38694i 0.720487 + 0.693469i \(0.243918\pi\)
−0.720487 + 0.693469i \(0.756082\pi\)
\(602\) −3.36679e7 5.71067e6i −0.154321 0.0261757i
\(603\) −4.05821e8 −1.85090
\(604\) −1.03796e8 2.15534e8i −0.471053 0.978151i
\(605\) 7.65599e7 1.58978e8i 0.345728 0.717913i
\(606\) −2.51962e7 + 3.15951e7i −0.113219 + 0.141972i
\(607\) 6.61479e7 + 1.50978e7i 0.295767 + 0.0675070i 0.367830 0.929893i \(-0.380101\pi\)
−0.0720624 + 0.997400i \(0.522958\pi\)
\(608\) −6.26598e7 −0.278791
\(609\) 2.01085e8i 0.890282i
\(610\) −1.06780e8 2.43718e7i −0.470435 0.107374i
\(611\) −8.63294e7 1.08254e8i −0.378473 0.474591i
\(612\) −8.69978e7 3.81162e8i −0.379537 1.66286i
\(613\) 2.29564e8 + 2.87864e8i 0.996604 + 1.24970i 0.968219 + 0.250105i \(0.0804652\pi\)
0.0283857 + 0.999597i \(0.490963\pi\)
\(614\) 2.73178e7 + 5.67260e7i 0.118016 + 0.245063i
\(615\) 5.77982e7 2.53231e8i 0.248479 1.08866i
\(616\) 3.39054e7 1.63280e7i 0.145053 0.0698538i
\(617\) −1.55524e8 + 1.95020e8i −0.662126 + 0.830280i −0.993573 0.113194i \(-0.963892\pi\)
0.331447 + 0.943474i \(0.392463\pi\)
\(618\) −1.05476e7 4.62120e7i −0.0446877 0.195789i
\(619\) 4.25153e7 + 1.86272e8i 0.179256 + 0.785371i 0.981975 + 0.189013i \(0.0605289\pi\)
−0.802719 + 0.596358i \(0.796614\pi\)
\(620\) −1.40376e8 + 2.91493e8i −0.589001 + 1.22307i
\(621\) −2.19584e7 1.75113e7i −0.0916909 0.0731211i
\(622\) 4.91207e7 3.91725e7i 0.204124 0.162783i
\(623\) −1.84469e8 8.88354e7i −0.762884 0.367385i
\(624\) 6.50729e7 1.35125e8i 0.267822 0.556138i
\(625\) −1.82497e8 2.28844e8i −0.747507 0.937344i
\(626\) −4.01782e7 + 5.03819e7i −0.163782 + 0.205377i
\(627\) 6.42182e7 + 3.09259e7i 0.260529 + 0.125464i
\(628\) 1.01843e8 2.32450e7i 0.411199 0.0938535i
\(629\) −3.39507e8 + 7.74903e7i −1.36426 + 0.311383i
\(630\) 5.34469e7 + 4.26225e7i 0.213748 + 0.170458i
\(631\) −1.07889e8 2.24034e8i −0.429427 0.891715i −0.997629 0.0688254i \(-0.978075\pi\)
0.568202 0.822889i \(-0.307639\pi\)
\(632\) 1.97207e8 + 4.50113e7i 0.781218 + 0.178308i
\(633\) −1.53752e8 + 7.40432e7i −0.606192 + 0.291927i
\(634\) 5.69066e7 4.53815e7i 0.223303 0.178078i
\(635\) −5.89410e7 + 1.34529e7i −0.230195 + 0.0525406i
\(636\) 3.80996e8 3.03834e8i 1.48098 1.18104i
\(637\) −2.41888e7 + 1.05978e8i −0.0935826 + 0.410012i
\(638\) −5.17651e7 −0.199331
\(639\) 1.31380e8i 0.503532i
\(640\) 6.40986e7 2.80834e8i 0.244517 1.07130i
\(641\) 3.97450e8 + 3.16956e8i 1.50907 + 1.20344i 0.917850 + 0.396927i \(0.129923\pi\)
0.591216 + 0.806513i \(0.298648\pi\)
\(642\) −9.16179e7 4.41209e7i −0.346239 0.166740i
\(643\) −3.87635e7 + 1.86675e7i −0.145811 + 0.0702188i −0.505366 0.862905i \(-0.668643\pi\)
0.359555 + 0.933124i \(0.382928\pi\)
\(644\) 1.56678e7i 0.0586612i
\(645\) 4.64477e8 1.33955e8i 1.73095 0.499205i
\(646\) 3.55529e7 0.131879
\(647\) −1.46519e8 3.04250e8i −0.540981 1.12336i −0.974949 0.222429i \(-0.928601\pi\)
0.433968 0.900928i \(-0.357113\pi\)
\(648\) 1.09895e7 2.28199e7i 0.0403881 0.0838667i
\(649\) −1.76346e8 + 2.21131e8i −0.645106 + 0.808938i
\(650\) −1.29940e7 2.96579e6i −0.0473153 0.0107994i
\(651\) −2.87797e8 −1.04314
\(652\) 3.88083e8i 1.40017i
\(653\) 2.72619e8 + 6.22234e7i 0.979075 + 0.223468i 0.681972 0.731378i \(-0.261122\pi\)
0.297103 + 0.954845i \(0.403980\pi\)
\(654\) 4.88835e7 + 6.12980e7i 0.174755 + 0.219136i
\(655\) −5.78592e7 2.53498e8i −0.205896 0.902090i
\(656\) −7.64985e7 9.59261e7i −0.270983 0.339802i
\(657\) −1.75761e8 3.64971e8i −0.619763 1.28695i
\(658\) 1.09207e7 4.78466e7i 0.0383329 0.167947i
\(659\) 4.11363e8 1.98102e8i 1.43737 0.692202i 0.457019 0.889457i \(-0.348917\pi\)
0.980352 + 0.197255i \(0.0632027\pi\)
\(660\) −1.57041e8 + 1.96923e8i −0.546236 + 0.684958i
\(661\) 4.66643e7 + 2.04450e8i 0.161577 + 0.707916i 0.989193 + 0.146621i \(0.0468397\pi\)
−0.827616 + 0.561295i \(0.810303\pi\)
\(662\) −2.00396e7 8.77993e7i −0.0690742 0.302634i
\(663\) −1.36805e8 + 2.84078e8i −0.469419 + 0.974758i
\(664\) 7.72778e7 + 6.16270e7i 0.263967 + 0.210507i
\(665\) 4.22561e7 3.36981e7i 0.143689 0.114588i
\(666\) 1.50620e8 + 7.25349e7i 0.509872 + 0.245541i
\(667\) 1.97777e7 4.10687e7i 0.0666496 0.138399i
\(668\) 6.07639e7 + 7.61955e7i 0.203853 + 0.255623i
\(669\) 1.98848e8 2.49347e8i 0.664113 0.832771i
\(670\) 1.17494e8 + 5.65821e7i 0.390653 + 0.188129i
\(671\) 2.12591e8 4.85224e7i 0.703683 0.160611i
\(672\) 1.92028e8 4.38290e7i 0.632784 0.144429i
\(673\) 2.47633e8 + 1.97481e8i 0.812389 + 0.647858i 0.938932 0.344103i \(-0.111817\pi\)
−0.126543 + 0.991961i \(0.540388\pi\)
\(674\) 2.86889e7 + 5.95731e7i 0.0936988 + 0.194567i
\(675\) −7.17793e7 1.63832e7i −0.233393 0.0532704i
\(676\) 1.73677e8 8.36385e7i 0.562215 0.270749i
\(677\) −7.10731e7 + 5.66789e7i −0.229055 + 0.182665i −0.731291 0.682065i \(-0.761082\pi\)
0.502237 + 0.864730i \(0.332511\pi\)
\(678\) 1.02442e8 2.33817e7i 0.328692 0.0750219i
\(679\) 2.20098e8 1.75523e8i 0.703084 0.560691i
\(680\) −5.91281e7 + 2.59057e8i −0.188047 + 0.823890i
\(681\) 1.77609e8 0.562373
\(682\) 7.40873e7i 0.233556i
\(683\) 7.91327e7 3.46703e8i 0.248367 1.08817i −0.684802 0.728729i \(-0.740111\pi\)
0.933169 0.359438i \(-0.117032\pi\)
\(684\) 1.16015e8 + 9.25189e7i 0.362532 + 0.289109i
\(685\) −4.85767e8 2.33933e8i −1.51132 0.727813i
\(686\) −8.02406e7 + 3.86418e7i −0.248555 + 0.119698i
\(687\) 8.95769e8i 2.76265i
\(688\) 8.73249e7 2.10989e8i 0.268147 0.647879i
\(689\) −2.38732e8 −0.729883
\(690\) 1.10686e7 + 2.29841e7i 0.0336933 + 0.0699649i
\(691\) −7.05184e7 + 1.46433e8i −0.213732 + 0.443818i −0.980079 0.198608i \(-0.936358\pi\)
0.766347 + 0.642426i \(0.222072\pi\)
\(692\) −3.17636e8 + 3.98303e8i −0.958544 + 1.20198i
\(693\) −1.32690e8 3.02855e7i −0.398692 0.0909988i
\(694\) 1.65440e8 0.494952
\(695\) 3.44723e8i 1.02687i
\(696\) −3.65816e8 8.34952e7i −1.08501 0.247647i
\(697\) 1.60825e8 + 2.01668e8i 0.474958 + 0.595579i
\(698\) −2.19535e7 9.61847e7i −0.0645562 0.282839i
\(699\) −5.61575e8 7.04193e8i −1.64428 2.06187i
\(700\) 1.78205e7 + 3.70047e7i 0.0519549 + 0.107885i
\(701\) −7.31303e7 + 3.20405e8i −0.212297 + 0.930133i 0.750705 + 0.660638i \(0.229714\pi\)
−0.963002 + 0.269495i \(0.913143\pi\)
\(702\) 4.82477e7 2.32348e7i 0.139465 0.0671627i
\(703\) 8.24080e7 1.03336e8i 0.237194 0.297432i
\(704\) 1.82371e7 + 7.99020e7i 0.0522683 + 0.229002i
\(705\) 1.54592e8 + 6.77313e8i 0.441185 + 1.93296i
\(706\) 1.09958e7 2.28330e7i 0.0312473 0.0648856i
\(707\) −4.76981e7 3.80380e7i −0.134972 0.107636i
\(708\) −7.57858e8 + 6.04372e8i −2.13544 + 1.70296i
\(709\) 4.34945e7 + 2.09458e7i 0.122038 + 0.0587704i 0.493907 0.869515i \(-0.335568\pi\)
−0.371869 + 0.928285i \(0.621283\pi\)
\(710\) 1.83178e7 3.80374e7i 0.0511799 0.106276i
\(711\) −4.56127e8 5.71965e8i −1.26904 1.59133i
\(712\) −2.38206e8 + 2.98701e8i −0.659953 + 0.827555i
\(713\) −5.87784e7 2.83062e7i −0.162162 0.0780931i
\(714\) −1.08955e8 + 2.48684e7i −0.299333 + 0.0683208i
\(715\) 1.20298e8 2.74573e7i 0.329110 0.0751172i
\(716\) 1.04159e8 + 8.30644e7i 0.283766 + 0.226296i
\(717\) 2.81773e7 + 5.85108e7i 0.0764438 + 0.158737i
\(718\) 7.44103e7 + 1.69837e7i 0.201029 + 0.0458837i
\(719\) −2.64429e8 + 1.27342e8i −0.711415 + 0.342599i −0.754344 0.656479i \(-0.772045\pi\)
0.0429297 + 0.999078i \(0.486331\pi\)
\(720\) −3.57389e8 + 2.85008e8i −0.957511 + 0.763589i
\(721\) 6.97649e7 1.59234e7i 0.186136 0.0424844i
\(722\) 8.39581e7 6.69544e7i 0.223075 0.177896i
\(723\) −4.05668e7 + 1.77735e8i −0.107339 + 0.470281i
\(724\) 1.02002e7 0.0268778
\(725\) 1.19492e8i 0.313564i
\(726\) 3.08151e7 1.35010e8i 0.0805292 0.352821i
\(727\) −1.83616e8 1.46429e8i −0.477868 0.381087i 0.354726 0.934970i \(-0.384574\pi\)
−0.832595 + 0.553883i \(0.813146\pi\)
\(728\) −5.69261e7 2.74142e7i −0.147543 0.0710527i
\(729\) −5.69351e8 + 2.74185e8i −1.46959 + 0.707720i
\(730\) 1.30173e8i 0.334619i
\(731\) −1.83586e8 + 4.43567e8i −0.469988 + 1.13555i
\(732\) 7.47327e8 1.90536
\(733\) 4.91867e7 + 1.02137e8i 0.124892 + 0.259342i 0.954035 0.299696i \(-0.0968851\pi\)
−0.829143 + 0.559037i \(0.811171\pi\)
\(734\) −5.34521e7 + 1.10994e8i −0.135169 + 0.280681i
\(735\) 3.40063e8 4.26425e8i 0.856441 1.07394i
\(736\) 4.35297e7 + 9.93537e6i 0.109182 + 0.0249202i
\(737\) −2.59633e8 −0.648572
\(738\) 1.23829e8i 0.308072i
\(739\) 4.26101e8 + 9.72547e7i 1.05579 + 0.240978i 0.714974 0.699151i \(-0.246438\pi\)
0.340819 + 0.940129i \(0.389296\pi\)
\(740\) 2.91208e8 + 3.65164e8i 0.718635 + 0.901140i
\(741\) −2.66294e7 1.16671e8i −0.0654497 0.286754i
\(742\) −5.27581e7 6.61566e7i −0.129145 0.161943i
\(743\) −3.70903e7 7.70188e7i −0.0904261 0.187772i 0.850851 0.525407i \(-0.176087\pi\)
−0.941277 + 0.337636i \(0.890373\pi\)
\(744\) −1.19500e8 + 5.23563e8i −0.290167 + 1.27131i
\(745\) −3.27808e8 + 1.57864e8i −0.792776 + 0.381781i
\(746\) −8.96601e7 + 1.12430e8i −0.215965 + 0.270811i
\(747\) −7.95459e7 3.48513e8i −0.190834 0.836099i
\(748\) −5.56589e7 2.43858e8i −0.132993 0.582682i
\(749\) 6.66079e7 1.38313e8i 0.158519 0.329168i
\(750\) −1.38558e8 1.10497e8i −0.328435 0.261918i
\(751\) 5.54273e8 4.42018e8i 1.30859 1.04357i 0.313002 0.949752i \(-0.398665\pi\)
0.995590 0.0938150i \(-0.0299062\pi\)
\(752\) 2.95670e8 + 1.42387e8i 0.695270 + 0.334824i
\(753\) 4.22617e8 8.77573e8i 0.989833 2.05541i
\(754\) 5.41888e7 + 6.79506e7i 0.126414 + 0.158518i
\(755\) 3.66629e8 4.59739e8i 0.851896 1.06824i
\(756\) −1.48681e8 7.16008e7i −0.344103 0.165711i
\(757\) −5.23916e6 + 1.19580e6i